diff --git "a/data/dm_maths/full_data/2870_11255.jsonl" "b/data/dm_maths/full_data/2870_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2870_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -6 = -2*w - 2. Let f(q) = q**2 + 13*q - 8. Let d be f(-14). Suppose -d*i - 23 = -47. Solve 5*y - 2*v = -w - 8, i*y + 8 = -2*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*x**(-8))\/x*x)))\/((x**(-1)\/x)\/x))**(3\/11) assuming x is positive.\nAnswer: x**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 2*w, 3*j + 8*w = 3*w + 8. Let b(z) = -3*z + 1. Let x be b(j). Calculate the highest common divisor of 39 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y**2 - 75*y - 3. What are the prime factors of f(9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4176.3 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - -0.71. Which is bigger: -1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 13*v**2 - 4*v + 2. Let j be f(9). Suppose 21 - j = -7*b. Suppose -28*a = -33*a + b. Calculate the least common multiple of 90 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34121905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1. Suppose -34 = -4*k + 78. Let u(b) be the second derivative of b**3\/2 - 7*b**2\/2 + 2*b - 18096. Give k*z(m) + 4*u(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let m(u) = 4*u - 130. Determine m(w(d)).\nAnswer: -8*d - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54391593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57, -1, 0, -221, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4975.17*-33.8\nAnswer: 168160.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:30 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300) + 0 + -1)**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 87.69371 tonnes?\nAnswer: 87693.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -5) + 35 + 29\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 7*c - 4. Let s(k) = 3*k**2 - 7*k - 3. Let b(y) = 4*o(y) - 5*s(y). Let w be b(-10). Is w\/(-1*(-3)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x + 2. Let d be v(-2). Suppose -d*r = -5*r - 2*s + 8, 5*s + 19 = -r. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625368?\nAnswer: 2, 3, 71, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (1 + -2) - (-5 - 13)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2372))\/((-7)\/(-28)). Let h = 9509\/4151 - j. Calculate the common denominator of h and 145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.209 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021963 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 21. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udv when three letters picked without replacement from vwudwvw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*s = 5. Let j = -2 + 5. Suppose h + c - 3 = 6, -j*c + 51 = s*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 5*s, -2*s + 1 = 5*c - 7. Suppose 3*q + 3*j - j - 1 = 0, -2*j - 14 = -c*q. Suppose l + q = 12. Solve 0 = -5*w - 2*p + 13, w + 3*p - l = p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (-12 - 90\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 13*f = -u - 2, 4*u + 33 = 5*f. Let a(z) = 11*z**3 - 21*z**2 - 7*z. Let g(v) = 6*v**3 - 11*v**2 - 4*v. Calculate u*g(i) + 4*a(i).\nAnswer: 2*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2 + 5193939*v + 10387890 = 0.\nAnswer: -2, 1731315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*0\/6. Let k be (-304 + (2 - q))\/((-8)\/4). Suppose 5*x + 292 = 3*m, k = -5*m - 2*x + 679. What is the remainder when m is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4*0 + 1*2. Suppose -1\/4*n**k + 0 - 1\/2*n = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3645 divided by 405.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 - 1584*l**3 + 1552*l**3 to the form m*l + b + s*l**2 + j*l**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -13. Suppose -3*c + 32 = 4*o, o + g*c - 15 = 6*c. Suppose 0 = a + w - o, 0 = 5*a - 4*a - w - 13. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z - 2568408 = 0. Let n = 363102 + z. Round n to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366295 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 30?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*((0 + 1 - 2)*(5*n - 6*n + 5*n) - 2*n - 4*n + 5*n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/180 + q**4\/18 - 2*q**3\/3 - 11*q**2. Factor r(j).\nAnswer: (j - 2)*(j + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcvo when four letters picked without replacement from ssvssogsvsposc.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 15 = -3*h, h - 4*c - 5 + 0 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 14\/(-35) - (3 - (-14896)\/(-40)).\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 8*t + 17, -121 - 21 = -5*x + 2*t - 113 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 w when three letters picked without replacement from {b: 2, z: 4, u: 3, w: 8}.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvvjjvvvvzuvzj. Give prob of sequence zuuv.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.41 + -0.41. Let d = -93 + 290. Which is the third smallest value? (a) d (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13365, -26736, -40107?\nAnswer: -53478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*s + 6 - 6 - 98*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.2 + -10.2. Let r be (-1*(-3 - 2) + -5)\/(-2). Let g = 1015\/2664 - 2\/333. Which is the nearest to r? (a) -0.1 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*k + 3*k - 23, 2*i - 2*k - 2 = 0. Suppose -497 = -i*z + 4*l + 247, -5*z - 4*l + 975 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2780997+-679\nAnswer: 2780318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*b**2 - 1253*b**2 - 191*b**2.\nAnswer: -2141*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 314, 1271, 2864, 5093, 7958, 11459, 15596?\n\"Answer: 318*x**2 + 3*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*d - 0*g + 12, -g = 2*d. Suppose 1619980 = d*w - 4*f, 3*w - 4*f - 2429980 = -0*f. What is w rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 4, l: 5}. What is prob of picking 1 f and 1 l?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 - 9*o - 3. Let q be n(-8). Suppose 64 = q*a - a + 5*j, j - 37 = -3*a. Is a equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -287? (a) -1\/11 (b) 0.43 (c) 14 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - 3 - (831 + -836).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:30 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 9 - 1 + 13 - k as n*k**2 + d*k + m + c*k**4 + b*k**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9211932?\nAnswer: 2, 3, 255887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1629*b**2. Let t(i) = 2*i**2. Determine v(t(y)).\nAnswer: 6516*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17801.002504 less than 0.08?\nAnswer: -17800.922504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 5*p. Let o be 3*8\/(-4 + 8). Let f(b) = -b**2 - b. What is o*f(h) + c(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 66 = t, 3*t - 234 = -4*r - 55. Let i = t - 23. Let v = -22 + i. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151\/6876 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:37 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -78. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + j**2 + j + 83. Does 13 divide z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138183 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4040, -8032, -12024, -16016, -20008?\n\"Answer: -3992*m - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) 1140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 5*r - 2*r)*(-84 - 25 + 37) to v + a*r and give a.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155591107\/2701 - -57605. Is u at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-42) - (-3)\/(-7). Let o be 8*(t - -8*2\/(-4)). Which is bigger: o or -33?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3307858 is divided by 155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156268506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/11))**(-17))**(-13))**(-5\/17) assuming t is positive.\nAnswer: t**(-130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 211\/4. Let m = -10 + 48\/5. Which is the third smallest value? (a) m (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 + 2*w**3 + 1 + 2 + 5*w - 7 - w**3. Let p be b(4). Let h(q) = -3*q**2 + 360*q + 1105. Let n be h(123). Are n and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 92090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 412310 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-2*i + 13*i + 0*i).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let z be (9\/(-5))\/((-15)\/150). Let u be (-243)\/z*24\/(-9). Let d(f) = -2 + u*f**2 + 2. Determine d(k(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.00366 * 8\nAnswer: -0.02928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/8 + 43*g**3\/8 + 49*g**2\/2 + 57*g\/2 = 0. What is g?\nAnswer: -38, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y + 2. Let t be s(3). Let c be t - -3 - (0 + -6). Let l = c - -10. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -22.\nAnswer: 17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 31528.93?\nAnswer: -31531.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*o - 2*o, 2*r - o = 4. Suppose 134 = r*n + 2*y + 38, 3*n - y = 77. Let i = -4 + n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148.99 + -12.22. What is z rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251352, 251145, 250802, 250323, 249708?\nAnswer: 248957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/30 - 5*f**4\/12 + 3*f**3\/2 - 3*f**2. Let b be a(6). Suppose -2*l = -5*v - b, -v = 4*v + 25. Are -3\/4 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, u: 2}. What is prob of sequence nnnn?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 2. Find the third derivative of -9*u**5 + 12*u**5 - 3*u**2 - 2*u**5 + 10*u**h wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from mmvmvmvvmmmmmv?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4793 = 29*v - 21236. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70623 is divided by 35045.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16040 - -16025. What is the closest to t in 2, 3, 2\/13, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6941*z**3 + 10*z**2 + 5. Let a(i) = -128409*i**3 - 184*i**2 - 92. Give -5*a(v) - 92*k(v).\nAnswer: 3473*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1982148 and 2642864.\nAnswer: 7928592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35900 and 379460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 99742277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, k: 3, z: 2, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 5 = 0. Let d be 44\/10 + (-2)\/y. Suppose 0 = -g - 3*a + 38, 2*g = -d*a - a + 77. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*1*(sqrt(448) - sqrt(448)*-2) + 3.\nAnswer: -432*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 27*o + 7. Let i(k) = -k**2 - 2*k - 3. Calculate i(m) + u(m).\nAnswer: -4*m**2 + 25*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191929 is divided by 335?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-56)\/(-16))*(1 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 722?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*n - 3*q - q, -12 = 3*n + 3*q. Let z be -1 + n\/((-2)\/(-22)). Solve -z = t + 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 2*a - 8, 2*t + 6 = 4*a. Let w(d) = -8*d - 3 - 1 - 10*d. List the prime factors of w(t).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3846 divided by 1923\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. What is the second smallest value in p, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 - 2 = 0. Suppose i*n = -5*g + 13, 2*g - n + 2*n - 5 = 0. Suppose g*a = -5*j + 154, -5*a + 150 = 4*j + j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqu when three letters picked without replacement from {q: 6, u: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 3*c + 3. Let v be 6\/4*(-3 - -5). Let m(n) = n**3 + n**2 - n - 1. Let w(x) = v*m(x) + s(x). Find the third derivative of w(z) wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:25 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:35 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -5274789 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4 + 2. Let p be 2 + (-3 - w) - -6. Solve -2 = 5*k - 5*t + 2*t, 5*k = 4*t - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10762 - 43261\/4. Is -53 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33259022 is divided by 214.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119929 is divided by 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-20)*12802515\/(-132) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -11661?\nAnswer: 1166.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -952, -2, -4\/11, 2\/5, 2, 0.6 in descending order.\nAnswer: 2, 0.6, 2\/5, -4\/11, -2, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21183844 divided by 5295961.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14573.89 litres?\nAnswer: 14573890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*l + 734, 3*l - 8 = -l. Is ((-42)\/(-12))\/(2\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12036 * 215.\nAnswer: 2587740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 8*n**2 + n + 8. Let u be m(-8). Suppose 5*r - 49 - 26 = 0. Let h = -6 + 6. Solve u = -2*v + 4*d + 18 - h, 3*v - 3*d = r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/20 - d**5\/60 - d**4\/24 - d**3\/6 - 3*d**2. Let n be p(-1). Solve -n*i + i + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2983.926193 rounded to the nearest integer?\nAnswer: -2984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -126d (base 16) to base 6\nAnswer: -33501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239795?\nAnswer: 5, 199, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67619000 rounded to the nearest one hundred thousand?\nAnswer: -67600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-k + k - 2*k)*(-6 + 3 + 11)*(2*k + k - k) - k + k + k**2.\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + m + 3*m = 0. Suppose c = -3*w + 19, m = -w - 4*c + 17 + 4. Solve -2*v - 15 = 5*a - 6*v, a = -w*v + 26 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 4*r + 12, -16 = -4*r. Let c(g) = -2*g - 16. Let u be c(-11). Suppose 4*i**4 - 8*i - u*i**v + 8*i**3 + 4 - 2*i**4 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 3:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/7 + 13\/((-104)\/32). Which is bigger: 0.07 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -16, 1, -41, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.684\nAnswer: 4.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + -3 - (1 - 213)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*u**3 + 21\/8*u - 3\/8*u**2 + 9\/4 = 0. What is u?\nAnswer: -3\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -14735856.\nAnswer: -14735854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 - g. What is a(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25 + 15 - 40 - 1171*l - 101*l**2 wrt l.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:27 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6636 or 0.03?\nAnswer: 6636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-35)*(-1 - 4). Factor -2*u - 5*u**y + u**3 + 2*u**2 + 109*u**4 + u**5 - 106*u**4.\nAnswer: u*(u - 1)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 13. Let h be (-2)\/b*-23757 - -3. Let q = 189899\/12 + h. Calculate the common denominator of q and 7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3393741 and 157430?\nAnswer: 237561870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -114, 6, -3\/10, -3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2. Let w(t) = -19*t - 5. Give w(k(a)).\nAnswer: 133*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.5 (b) -8170 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.2 (c) -7 (d) 1 (e) 2376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -13. Suppose -6 = 7*a - t. Solve 4 = -y + a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuuvuuuuuvuuv. What is prob of sequence vu?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 136*o**2 - 2207*o + 321042. Determine x(137).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -328.257742 + 328.29. What is t rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 873\/(-291)*16\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**13)\/((o\/(o\/(o**(-5)\/o)))\/o*o*o*o) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3080.6 + -3081. Which is the nearest to -2\/5? (a) 5 (b) l (c) -2\/37 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252*c*f + 10972*c*i**2 + 2*c*i - 8*c + 3*f*i**2 - 2*i wrt i.\nAnswer: 21944*c + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 40 = -2*o. Suppose -1 - o = -3*s. Solve 12 = 5*g - s*n - 0*n, -n + 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4\/4 - i**3\/2 - 3*i**2\/2 - 10*i. Determine y(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 35*c + 400. Calculate the lowest common multiple of l(7) and 3268.\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81939.48 and 0.06?\nAnswer: 81939.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2880 + -2822. Calculate the greatest common factor of g and 2001.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272192557 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105333*w**4 + 107299*w**2.\nAnswer: 2527992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 8*v + 2*p - 2465 = 0, 3*p = 5*v - 12377. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(1\/(10\/(-32))))\/((-1)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:32 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139, 107, 61, -5, -97, -221?\n\"Answer: -b**3 - b**2 - 22*b + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -182844 + 1?\nAnswer: -182843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + 2602 + 9*x**3 - 2*x**4 + x**3 - 2*x - 2608 in the form d*x + y + f*x**4 + u*x**3 + j*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992 = 2*h - 14*w + 2122, 5*h = -4*w + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1222102212 (base 3) to base 2\nAnswer: -1001100000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 53 = -n, -24*t + 20*t + 103 + 97 = -4*n for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1801.6, -0.4, 43?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2427, -9639, -21607, -38331, -59811, -86047, -117039?\n\"Answer: -2378*h**2 - 78*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270.68 - 230.662. Let i = -0.3 + 40.3. Let f = l - i. What is f rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 9*y**2 + 15. What is the smallest common multiple of 1 and m(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(98 + 10*u - 70 - 13*u).\nAnswer: 9*u - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**2 + 1\/21*m**4 + 0*m**3 + 0 + 10*m. Factor s(v).\nAnswer: 4*v**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1735214.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2108 + -5?\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 348493*n**4 + 2*n**2 + 166826994*n?\nAnswer: 4181916*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 102383634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1320)\/154)\/(-20))\/((-1)\/7) - 109\/(-37).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eimimifeeif. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -538684566.626 and -0.1881.\nAnswer: -538684566.8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v. Let p be j(1). Is 10\/p + 3026\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5 + 3*f**2 + 20*f + 23*f - 43*f. What is g(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105682*t**3 + 52846*t**3 + 52834*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11813549 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1564 and 853162?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvv when three letters picked without replacement from xyxxxvgvggxgyexvgexy.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3 - (-164 + (5 - 2)). Suppose -8*l + x = -288. Suppose 8 = 4*c - l. What is the highest common divisor of 64 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55115 - 13591. List the prime factors of d.\nAnswer: 2, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 48810 = 15623. What is the units digit of l\/11 - (1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i + 38. Calculate the least common multiple of k(-2) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5583159.\nAnswer: 3, 620351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 403\/65 - 2\/10. Let a(d) = d**2 + d + 12. List the prime factors of a(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 divided by -4\nAnswer: 455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 36*l**4 + 44*l**3 + 104*l**2 - 186*l + 76 = 0. What is l?\nAnswer: -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -92645.697 rounded to the nearest one thousand?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 146514749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 5082?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 45 = 29. Solve h = 2*g + f - 5*f, -2*g - 1 = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 260.7 - 246. Suppose -13 = 5*o - 2419*w + 2417*w, -5*o + 4*w - 21 = 0. Which is the nearest to o? (a) f (b) -3 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 1291*x - 1475*x + 72674 = -248*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340410261?\nAnswer: 23, 197, 295831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -145 and -5.33.\nAnswer: -150.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237916 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 3*w)*(4*w**2 + 2*w**2 - w - 4*w**2 + (2*w - w + 0*w)*(4*w - 6*w + 3*w)).\nAnswer: -3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1765, -1775, -1807, -1873, -1985, -2155?\n\"Answer: -2*v**3 + v**2 + v - 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14932050 - -46364014796\/3105. Let d = -2\/1035 + a. Suppose -5 = -5*t + 4*x, t - 4*x = -2*t + 3. Are d and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*i - 20 = -4*a, -2*i - 10 = -2*a. Which is greater: i or 3\/394?\nAnswer: 3\/394","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k = -32*k - 107*k - 2769 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 475 = -6*a. Let q = a + -37. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2)*16*(-54)\/72)\/(88\/4)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*g + 29, 30*t = 33*t - 2*g - 47. Solve -21*z + t = 139 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -6. Let f = 6 + d. Solve -5*i + 5 = -5*x, -5*x - 1 = -3*i + f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 76.67. Let o = -0.17 - j. Let m = -33.7 + 34.1. Sort 0.3, m, o, -1\/3 in increasing order.\nAnswer: -1\/3, 0.3, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 1. Let m be z(6). Let b = m - 16. List the prime factors of b*5 - 12\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 9:26 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*d + 104 = 0, -4*j = 88*d - 87*d - 85. Suppose l = j - 18. Solve 5*m - 4*b + 0 + 8 = 0, 5*b + 31 = -l*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729.21 decades in years?\nAnswer: 57292.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1447, -2933, -4417, -5899, -7379, -8857?\n\"Answer: f**2 - 1489*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 282671374 divided by 1\nAnswer: 282671374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38203 + -15797. What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 718 - 471. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 2, c: 1, h: 1, n: 4}. What is prob of picking 1 n, 1 c, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 668, 2251, 5330, 10403, 17968?\n\"Answer: 83*y**3 + y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48357, -48357, -48359, -48363?\nAnswer: -48369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 968*l\/7 + 71136.\nAnswer: -4*(l - 252)*(l + 494)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 116, 183, 256, 335, 420?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 659908, 2639668, 5939270, 10558714, 16498000?\n\"Answer: 659921*c**2 - 3*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -6 - (4 - 2). Factor -m*z + 0*z - z**2 - 2*z + 2*z.\nAnswer: -z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 3. Let u be q(-3). Suppose u = m + 3*m - 2*b - 62, 4*b = -12. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836965393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532522256 to the power of 1\/2, to the nearest integer?\nAnswer: 59435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 40 - (0 + -4)) + (43 - 37).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25 (b) 0.2 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975438440 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14502 = -0*w + 6*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 410 = 5*v + 138, 85 = 2*v - 3*d. Solve 155 = -v*b + 579 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iztq when four letters picked without replacement from {j: 3, h: 1, i: 11, z: 3, q: 1, t: 1}.\nAnswer: 11\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571 divided by 22?\nAnswer: 6571\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 6 = -34. Let t(x) = 5*x - 14. Let d be t(j). Let l be 8\/d - 6\/(-9). Solve -2 = 5*q - c, l*c + 3 = -3*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -67. Which is smaller: u or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 13 + 3 + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 344762?\nAnswer: 3102858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t + 4819 - 16155 - 5772 = 282*t for t.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + 5 + (8 - -11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*148174.64.\nAnswer: 889047.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 0.1 (b) 0.4 (c) -12150702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112482 divided by 4166.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 469 - b**3 + 360 + 369*b**2 + 3*b**3 - 367*b**2 in the form z*b**2 + o + r*b**3 + l*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 560, 701, 936, 1265, 1688, 2205, 2816?\n\"Answer: 47*x**2 + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1169 divided by 7.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 3*y**2 + 3*y + 2. Let x be p(-4). Let h = -12 - x. Suppose 44*a - 46*a + 10 = 0. Calculate the remainder when h is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 22176?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((39\/455)\/((264\/28)\/11))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-22)\/(-55))\/(-17*1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = 5*b, 53*p = b + 57*p + 16. Suppose 52 = -t + 2*t. Sort -2, b, t in ascending order.\nAnswer: -2, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/7 - (-3 + 1)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c**4 - 9*c**5 + 12*c**4)*(36 + 382 + 689 + (4 - 2 - 3)*(-1 + 4 - 1) - 2 + 2 + 2).\nAnswer: -9963*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1703*u - 63462 = -178*u + 17421 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5128.8939 to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 59 - 62*t + 1 - 1 - t + (0 - 1 + 0)*(-4*t + 2*t + 3*t) - 3 + 3 - 2*t)*(0*t**2 + 4*t**2 - 2*t**2) + (0*t - 4*t + 2*t)*(-9 + 9 - 6*t**2).\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.3 not equal to 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -276.3 (b) 4 (c) 5 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1577*v = 1574*v - 21 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 46*r = 7 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 387, 588, 789, 990, 1191?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6956*-27.\nAnswer: 187812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270.53199 rounded to 1 dp?\nAnswer: 2270.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 327059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 24, -4*q + 16 = -408*o + 405*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/20)\/(1736*(-27)\/(-1080)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 9 + 0 = -5*g + 3*c - 2, -3*g = 112*c + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -3 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b - 340008. Suppose -2*w - 15 = -3*x, w - 1 = x - 6. Let j be m(w). Let g be (j + 8)\/(1\/3). What is g rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.46 from 2.\nAnswer: 19.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 7*q**2 - 4*q + 7. Let f be h(-6). Let i = 15 + f. Let p(y) = -9*y - 4. Calculate the smallest common multiple of p(-2) and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 56 = -20. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/34, 7, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80260031*i = -80260112*i + 4536 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 304 times 0.07\nAnswer: 21.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9416 and 440.\nAnswer: 47080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -9*b - 5*b + 48. What is the nearest to 1\/4 in -0.141, 12, b?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = 0, n - 3*u = -4*n + 174. Suppose 40*f + 156 = n. Is -3 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10087323 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 3. Let z be b(7). Let u be (-4)\/(-8) - 50\/z. Let f = u + -9. Solve 12 = -f*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*g - 5*b, -14 - 4 = -56*g + 62*g + 4*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323053966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 11*h + 5. Let p be l(9). Let b = p - -22. Solve -k - b = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {x: 2, q: 2, i: 11}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -13, -5, 2 in decreasing order.\nAnswer: 2, -3, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*m - 3580 = -2*m, -5*m = -2*q + 1782. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235637950 is divided by 344.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 195*b + 43. Let r(m) = -m**2 + 106*m - 22. Determine 11*r(l) + 6*v(l).\nAnswer: l**2 - 4*l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**2*x**3 + 663476*w**2*x**2 + 56*w**2 - 405042*x**6 wrt x?\nAnswer: 12*w**2 - 48605040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/7))\/((((w**(-2\/3)*w*w)\/w)\/w)\/w))**(13\/5)*((w*w**1)**(-27))**38 assuming w is positive.\nAnswer: w**(-42923\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2 + 577726*i + 1733187 = 0.\nAnswer: -3, 577729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lagxaxaa. Give prob of picking 1 g and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 67*q - 2800. Determine h(33).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -20. Let v = 501 + -499. Let x = -1 + 1.5. Sort v, b, x in descending order.\nAnswer: v, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289760000 rounded to the nearest one million?\nAnswer: 290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 35 = -11*i. Let j(w) = 2*w + 2. Calculate the lowest common multiple of j(i) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 25. Let s(o) = o**2 - 4*o - 5. Let x be s(b). Suppose 0 = -7*d + 784 - 812. Is x != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308 - 1577*w - 1033*w - 156 - 152.\nAnswer: -2610*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - -5 - 4 - 0. Let m(n) be the second derivative of 0 + 2\/15*n**3 + z*n - 1\/90*n**4 - 3\/5*n**2. Factor m(d).\nAnswer: -2*(d - 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(9\/(-6)*4\/(-12)). Suppose p = 10*c - 2*c. Solve 2*x + c = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/15 + 12746*v\/5 + 4812984.\nAnswer: 2*(v + 2124)*(v + 16995)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 - 9) - -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = 55*v - 36. Solve -4\/13*g - 2\/13*g**v + 6\/13 = 0 for g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 26*c**2 + 15*c - 10. Let o be q(-25). Suppose 2*m - o - 56 = 0. Let h = m + 481. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - d + 3. Let o be j(5). Let z = o - -22. Is 8 a factor of ((-17)\/(-4))\/(5\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25722 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: Three letters picked without replacement from zdzkkmkkd. What is prob of picking 1 m, 1 z, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18128*s = 18200*s - 1368 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3627*k - 2636834. Determine s(727).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/20 - 20 - -10. Let i(h) = 30*h**3 + 6*h**2 - 4*h - 4. Let b(r) = 30*r**3 + 5*r**2 - 3*r - 3. Let a(g) = 5*b(g) - 4*i(g). Give a(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 93 + 33 = 0. Let y(r) be the first derivative of r**4\/4 - 4*r**3 + 17*r - 9. What is y(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {e: 2, b: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3019, 3111, 3317, 3631, 4047, 4559, 5161?\nAnswer: 5847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d. Let i(j) = 7*j**3 - 5*j**2 - 8*j + 6. Let f(v) = -i(v) + 6*z(v). Let x = 20 + 0. Suppose 5*p = p + x. Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336*-8*((-12179)\/608 + 20)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/4)\/(24\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - a - 359 = -6*a, -630 = -5*i - 2*a. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + (-3*(sqrt(52) + -1))**2 + -1.\nAnswer: -34*sqrt(13) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -13 (b) -1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 102*t + 26. Let g(z) = 205*z + 48. What is -11*c(s) + 6*g(s)?\nAnswer: 108*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 1, k: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/3847, -766, -11, 1\/3?\nAnswer: 3\/3847","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 1320*y.\nAnswer: 5*y*(y - 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1815 and 3981945.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/((-72)\/(-60))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61529257*u**3 - 273288*u**2 - 22*u - 2 wrt u?\nAnswer: 369175542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f**2 - 3*f - 2. Let x be g(-1). Suppose x = 4*z - 7*z + 507. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1005*o - 35. Let g(p) = 11*p + 4. Let j be g(-1). Let u be q(j). Round u to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7090785 divided by 27807?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21102120121 (base 3) to base 8\nAnswer: -435455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -719 divided by 719.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.074 + 0.074. Sort -5\/2, 2, 1\/5, q in decreasing order.\nAnswer: 2, 1\/5, q, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8060, -7726, -7392, -7058?\nAnswer: -6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**(2\/141) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rer. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89981*i + 89981*i + 536*i**3.\nAnswer: 536*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Let x(l) = 7*l**2 - l - 1. Let v(a) = -5*g(a) - x(a). Give v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303440 (base 5) to base 11.\nAnswer: -396a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 25*j**5 - 5*j**4 - 17*j**2 - 5. Let a(r) = -24*r**5 + 6*r**4 + 17*r**2 + 6. Let s(o) = 5*a(o) + 6*v(o). Find the third derivative of s(f) wrt f.\nAnswer: 1800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/9*(920\/(-100))\/(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-294)*7)\/(((-150)\/(-35))\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136621937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002693089 rounded to six decimal places?\nAnswer: 0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 4. Suppose 2*o + 2*l - 10 = 0, -o + 4*l = -6*o + 24. Let i(y) be the second derivative of 5*y**3\/6 + 5*y**2\/2 + 2*y. What is o*i(w) + 5*m(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 674*f - 336*f - 339*f + 148 as w*f + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + u - 4 = 0, -5*s + 14 - 1 = u. Solve d + s = -2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1163 + 1161. Let u(f) = 9*f + 3. Let i be u(9). Let d be i\/(-75)*20\/24. Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3 - 3)*(2*v**2 + 2*v**2 - 5*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p**(-2\/11)\/p)\/p*p)\/p*p)**(3\/8)\/((p*p\/(p**(-43)*p))\/(p\/p**(-19)*p)) assuming p is positive.\nAnswer: p**(-1997\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 9, -5 in descending order.\nAnswer: 9, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18710914 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*k - 3*z - 51 - 19, 22 = 4*k + 33*z - 30*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1168*k**3*l**3 - k**3*l - 4*k*l**3 + 51*k*l**2 + 2*l**3 - 9 wrt k?\nAnswer: -7008*k*l**3 - 6*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h - 3. Let o be 3*(-2 + (-8)\/(-3)). Let q(i) = 2*i**3 + 14*i**2 - 3*i + 3. What is the remainder when q(-7) is divided by v(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 - 0.9. Let g = -0.47 + 0.07. Let o = 0.3 - -1.7. What is the closest to 0 in g, o, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 2*b. Suppose -d - 3 = 0, 5*f + 2*d - 7*d - 10 = b. Let h(p) = -3*p**3 + p. Calculate h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24635 + -20439. What is the least common multiple of b and 14?\nAnswer: 29372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*i = 2*i + 7, 0 = 2*x + 3*i - 7. Suppose -3*d = a - 1, -x*d + 3 = -2*a - 6. Sort d, 6, -4 in ascending order.\nAnswer: -4, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1*(-3)\/(-6)). Let v be 4\/t*30\/(-5). Let i = 21 - v. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a + 54. Let y be i(-6). Suppose y = 6*j - 7*j + 57. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/3155 + 9373\/290260. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04737 and 0.05?\nAnswer: 0.0023685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8607 and 2679?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 6*v + 24. Suppose -3759 = -v*t + 2*o - 5*o, 0 = -t + o + 945. Does 74 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*c*h**3 + 2*c*h**2 - 134*c - 2*h**2 wrt h.\nAnswer: 42*c*h**2 + 4*c*h - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1955 + 1955 + 138263*o.\nAnswer: 138263*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63.02 + -63. Let n = g + 0.256. Round n to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 77*h**2 - 283*h - 260. Determine j(33).\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 + 15*d - 11. Let j(k) = 26*k. What is j(p(t))?\nAnswer: 130*t**2 + 390*t - 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2 + 28*v - 39. Does 6 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33200312302323 + -3?\nAnswer: 33200312302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/((-156)\/208*16))\/(-1*1\/4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0560411 to three dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/1679 (b) -1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, -0.3, -0.85, -1, -5, 0.4, -879?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:50 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*h - 3713 = -2*h, -5*h - 4585 = -5*o. Suppose 6*t + o = 3196. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - 5*a - 1. Let r be y(-2). Let n be -3 - -3 - -3 - (r + -2). Do 22 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**3 - 5*l**2 + 3*l - 3. Let a = 9 + -6. Is s(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/288)\/(((-2900)\/(-16))\/(-5)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(3*p + 2*p - 6*p) + (26 - 2 - 3)*(3*p - p - 3*p))*(16*p - 86*p + 44*p).\nAnswer: 572*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(8262\/72)*(-90)\/80*28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 - (12 + 2 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496873 is divided by 693?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 29*x - 6. Let a be r(2). Let g = 262\/5 - a. Find m, given that -4\/15*m - g + 2\/15*m**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/(-5))\/(-102)*12\/(-3)*-15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 74, 0, 0.4, 0.5, 3.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f - 4 + 7*f**2 + 0*f**3 - 2. Suppose -194 + 158 = 6*l. What is d(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (720\/(-225))\/(30\/(-25))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3030?\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2643 and -0.05.\nAnswer: -2643.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8\/9, 0.2, 1661\/17, 2, -4\/21?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-6))\/(162\/(-43497)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -23*o + 27. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b - 5*r - 24 = 105*b, 21 = -5*b - 2*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117389560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -40.7. Let s = 5.9 + k. Let u = 2.80000132 + s. What is u rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -75. Suppose 0 = 34*g - z*g + 190. Is g a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: What is next in -29, -11, 33, 115, 247, 441, 709?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18559 - 27507 = 331*u + 412*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/3 - 6530*y**3\/3 - 2360904*y**2 - 841879584*y + 9549251712.\nAnswer: -2*(y - 11)*(y + 1092)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -255, 7, 3, -4 in descending order.\nAnswer: 7, 5, 3, -4, -11, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let q be ((-3)\/(-4))\/(o\/2). Let y = -0.8 + 0.4. What is the closest to q in -3, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 55*a - 70. Let j be t(5). Is j != 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1586\/9 + (-2)\/9. Let b = 296 - w. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -44.8972?\nAnswer: 17.95888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65139*d + 65139*d - 26*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*f - 69 = -128, -6*u - 3*f = -45 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(99))\/sqrt(9).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 10*i**2 + i - 14. Let z be v(10). Let y = 0.5 - 0.9. Which is the nearest to 0.1? (a) z (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + o - 7. What is a(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 17.8. Are r and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 12) to base 14.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32037 (base 8) to base 7\nAnswer: 53621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 + 0 = -2*x, 8 = -4*x - 2*o. Let a = -5 - x. Is 28 + (0\/(-3) - a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*b**3 - 136*b**3 + 65*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -10, -47, -122, -247?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4428*14490.\nAnswer: 64161720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 36566 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33162*n - 33166*n - 4*o + 80 = 0, -5*n - 3*o = -96 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/21*63\/(-1197))\/19?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 4, u: 3}. What is prob of picking 3 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/840 + a**6\/360 + a**5\/120 - a**4\/24 + a**3\/3 + a. Let c(s) be the second derivative of x(s). Solve c(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 3. Let i be u(-10). Let n(p) = p - 1. Let l(h) = h**2 - h - 9. Let a(b) = l(b) + n(b). Is 13 a factor of a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w*w**(-1)\/w*w**(7\/3)\/(w\/(w**9*w)*w) assuming w is positive.\nAnswer: w**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)*(12\/(-8) - -2). Find z such that 1\/4 + 1\/4*z**4 + 0*z**3 + 0*z - m*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 6 - ((-36 - 11) + 25).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 6*p**2 + 11*p - 20. What is the thousands digit of b(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 4. Let q = -51 - -77. Suppose 2*z = z - 28. Let k = q + z. Let h(p) = -p**2 - 5. What is k*h(o) + 3*m(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 898375 and 3125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, e: 3, x: 3, r: 1, k: 1}. Give prob of sequence kww.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 12*s + 16*s - 4, -5*f - 3*s + 29 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/7)*r*r)\/r)\/(r\/(r**(-1\/26)*r)*r))**44 assuming r is positive.\nAnswer: r**(1562\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -20481?\nAnswer: 20470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u + 224. What is s(38)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22323 - -2022113?\nAnswer: 2111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:48 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 27*m**3 - 147*m**2 - 379*m - 204.\nAnswer: -(m - 17)*(m - 12)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 6019 - (-1 - -7). Let f = p - 3193. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/32291 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c - 848?\nAnswer: -8d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ca1 (base 14) in base 10?\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 19*w**2 - 21*w - 18. Let t be m(-20). Suppose u + 155 = -0*u - 4*o, 4*o - 358 = t*u. Let h = 292 + u. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184441*h**2 + 0 + 0 - 223925*h**2.\nAnswer: -39484*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d + 7. Calculate i(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-47 + 28 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*v**2 + 62*v**2 + 52*v**2.\nAnswer: 293*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t + 257 = -98*a + 91*a, 5*a + 160 = -5*t for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 7. Let t(o) = -4*o - 8. Let l(n) = 5*q(n) + 4*t(n). Let b be l(3). Which is smaller: 2\/83 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9535*z - 9562*z + 270 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 2*f - 10. Let n(t) = 2*t**2 - t - 6. Let l(r) = 5*n(r) - 3*q(r). Let k(c) = c**2. What is k(l(a))?\nAnswer: 4*a**4 - 4*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.0131km to centimeters.\nAnswer: 74701310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-84)\/(-24)*(-24)\/(-154). Let p = -148 + 137.9. Let h = p - -10. Put -5, s, h in increasing order.\nAnswer: -5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-28))\/((-603)\/(-126) + -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 9 + (-6 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2167351, 4334711, 6502073, 8669437, 10836803?\nAnswer: 13004171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-93)\/(-124)*16\/6. Which is the fourth biggest value? (a) 0.2 (b) 4 (c) -2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001619859 to 7 dps.\nAnswer: -0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -385, -987, -1859?\n\"Answer: -135*x**2 + 73*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.364679 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*k - 48 - 38, -74 = -4*k - 5*c. Suppose -2*s = -s - k. Suppose -2*p + s = -0*p. What is the lowest common multiple of 10 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 6. Let g be a(-3). Calculate the smallest common multiple of 5 and (96\/(-40))\/(g\/(-20)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (-3*sqrt(242)*-2 + 1*(sqrt(242) + 2 + sqrt(242)))*-5))**2.\nAnswer: 183040*sqrt(2) + 6197904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/((f*((f*f\/f**(1\/26))\/f)\/f)\/f)))*f**(-11)*f)\/(f\/(f**(4\/3)\/f)*(f**(2\/7)*f)\/f) assuming f is positive.\nAnswer: f**(-5413\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*x + 35, 0 = -3*x + 8*x + 4*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 50*d + 10. Let o be m(5). Let z be (-16)\/(-20)*50\/o. Are z and 8\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-15)\/(21\/7). Solve 8*d - 4 = -y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20978043.\nAnswer: 3, 6992681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/4, 3, 2\/5, 1 in descending order.\nAnswer: 3, 1, 2\/5, 0, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 463. What is the greatest common divisor of 70 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 3, j: 2, c: 2, w: 8}. What is prob of sequence ccww?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 0*y + 24. Let i(h) = 18*h - 11. What is the units digit of i(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 5\/2, 90, 4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**3\/13 - 2*i**2 - 64*i\/13 + 24\/13.\nAnswer: 2*(i - 6)*(i + 2)*(3*i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -6. Suppose -4*g - x = g. Sort g, -2\/5, -2\/7 in descending order.\nAnswer: -2\/7, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -86*q**2 - 937*q + 491*q + 484*q - 6. Let t(l) = -171*l**2 + 77*l - 11. Let v(c) = -11*k(c) + 6*t(c). Find the second derivative of v(s) wrt s.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*j**2*o*z + 4*j**2*z + j*o*z**2 - o*z**2 + 18*z**2 wrt j.\nAnswer: -18*j*o*z + 8*j*z + o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12349 - -12348. Which is smaller: p or -1\/3371?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/9)\/f**(-3\/2))\/((f\/(f*f**(2\/3)))\/f)**(-8) assuming f is positive.\nAnswer: f**(-211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 56*z**3 + 2524*z**2 - 4816*z.\nAnswer: -z*(z - 28)*(z - 2)*(z + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqqqzwqwzqzzq. Give prob of sequence zwz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - -131?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -451 + 458. Find the third derivative of 624*d - 2*d**2 + 3*d**2 - 42 - d**5 - 19 + m*d**4 - 624*d wrt d.\nAnswer: -60*d**2 + 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 5.6603.\nAnswer: -0.6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2942 divided by 1471\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -15*l - 7. Let h be i(-2). Let m = h - 21. Suppose 0 = 4*c - 5*o + 8, c + 0 = m*o - 5. What is the third biggest value in c, 1\/3, 3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 1, c: 1, n: 1, h: 1, t: 2}. What is prob of sequence fnc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 79. What is the third biggest value in -2, k, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189413199 + -0.1\nAnswer: -189413199.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {m: 1, b: 2, f: 1, q: 1, h: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + -3 + (1 - 2) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -102, -249, -466, -759, -1134?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140, -281, -422?\n\"Answer: -141*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792180 and 2445.\nAnswer: 792180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 140 - 569. Suppose 5*b + 33 - r = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - 13*p**5\/300 + p**4\/30 + 2*p**3\/15 - 2*p**2. Suppose j(t) = 0. What is t?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -335*g + 2866 + 986 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put 64, -1, -297, 13, 4 in descending order.\nAnswer: 64, 13, 4, -1, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1 - (-2 - -2)). Let b be 6 + -2 + 4 + -4. Let v be (b + p)*(-15)\/(-2). What is the highest common factor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -18*t**3 - t**2 + t + 2. Calculate the smallest common multiple of 10 and s(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.1 (c) -235 (d) -4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a6a + 2?\nAnswer: -a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-16.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4\/5 + 8*j**3 - 132*j**2\/5 + 32*j - 64\/5 = 0. What is j?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34469881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (0\/11 - 4)*(-26)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 0*g)*(-5*g**2 + 12*g**2 + 2*g**2).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - 62. Let c(k) = -k**2 + 16*k + 57. Let g = -60 + 78. Calculate the remainder when r is divided by c(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135635 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2190 by 10.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 6 = -2*d - 21*q, 2*q + 15 = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + 38. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13465993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = r, 0*r - 3*k + 5 = -2*r. Suppose 3 = r*l + 7. Let w be 92\/10 - l\/(-10). Solve 3*s - w - 6 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31145, 1, 1626 in decreasing order.\nAnswer: 31145, 1626, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 833 and 4913.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-69)*(3 + -27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472886.47 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4192*l - 952 = -4073*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - w + 2. Suppose -4*y = 4*s + s - 31, 7 = y + s. Let f(m) = 1 - 2*m + 0 - y. Give f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164 or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 364 + -662?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13354134 divided by 2?\nAnswer: -6677067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-14)\/(-140)*5). Is 140 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3386, 3254, 3122, 2990, 2858?\nAnswer: 2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 29 = 7*x + 4*m, 4*x - 21 = -m. Suppose 0 = -k - 2*h + 22, 3*k - 12 - 10 = x*h. What is the smallest common multiple of 1 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -5 + (7 - (-1 - -10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 74 - 21) + -13?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 3*i**5\/20 + 8*i**2 + 3. Let z(p) be the second derivative of k(p). Let t(h) = 1 - 3 - h + 2. Calculate z(t(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 6 (c) 0.5 (d) -2\/13 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 1170 - 1214 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -65. Sort j, -3, 1.\nAnswer: j, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1998, 8004, 18014, 32028, 50046, 72068, 98094?\n\"Answer: 2002*h**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + z = 4178, -2*u + 4*z - 3633 = 4721. What is u rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 6 = -16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*v + r + 37 = 7*r - 35, 0 = r - 2 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**50*(h*(h\/h**(12\/7))\/h*h*h)\/(h**(-8)\/h*h) assuming h is positive.\nAnswer: h**(-285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*k + 450 = 2*k, -4*z + 3*k = -360. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h - 45. Suppose j - 2 = 5. Calculate d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/84 - 10\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 22008356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5865 and 37645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - 12148d?\nAnswer: -121481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 44. Let a be m(-9). Suppose 0 = -3*u - u + 8. Is u smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10015*g**5 - 766*g**2 + 7*g?\nAnswer: 600900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*x = -2*z - 346, 0 = -x + 1. Let q = 212 + z. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*l - 610, -l + 3*u + u - 106 = 0. Let k be (12\/l)\/((-2)\/(-6)). Which is the nearest to k? (a) 3 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3255*u + 797538. What is o(245)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -1 - 1 - 4. Suppose n + n = m. Suppose 0 = 3*a - 0*x - x - 2, n = 4*x + 8. Which is smaller: 5\/8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-454)\/(-18) + (-4)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6524 (base 8) in base 6?\nAnswer: -23444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 5*n**2 + 8*n - 4. Suppose 2*r = 3*r - 5. Let t be l(r). Calculate the remainder when 47 is divided by (-284)\/(-18) - (-8)\/t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122223 + -11123?\nAnswer: -200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b - 2*k, 6*b - 12 = 2*b + k. Suppose b*a + 30 = f, 2*a + 6 = -f - 3*a. Let o(x) = -x**3 + 7 - 7*x**2 + x**2 + f*x - 18*x. Determine o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2114 + 1411 + 1288 - b)*(0 + 2 + 3*b**2 - 4*b**2) as c + p*b**2 + n*b + q*b**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141104 (base 5) in base 11?\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620 (base 10) in base 3?\nAnswer: -2020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118674484?\nAnswer: 2, 17, 1745213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i*i\/(i**(12\/7)*i))\/i)**4*i**13\/(i\/(i\/(((i*i*i**(-2)*i)\/i)\/i))))**(16\/3) assuming i is positive.\nAnswer: i**(1696\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (8 - (2 - 0 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20100 (base 4) to base 3.\nAnswer: 201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20216 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.298 * 1281458\nAnswer: 381874.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/((-3)\/9). Suppose -6 = -x*l + l. Suppose -l*m + 9 = m, -5*m = -5*g + 410. Calculate the highest common divisor of 34 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 3) to base 15.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qehxc. What is prob of sequence cqe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 6*w + 1. Let g(i) = 4*i**2 - 5*i - 1. Determine 3*g(q) + 2*z(q).\nAnswer: 2*q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 7*g**3 + 5*g**3 + 8*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 196667 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 2, -1, 33 in descending order.\nAnswer: 54, 33, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 2*r - 3. Let k(y) = y**3 - 5*y**2 + 24*y - 62. Let t be k(6). Suppose -t*p - 14 = -125*p. Give u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 577, 603, 525, 289, -159, -873?\n\"Answer: -9*r**3 + 2*r**2 + 83*r + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598 is divided by 436?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 399*f - 1022*f)*(2*f**3 + 0*f**3 - f**3).\nAnswer: -1422*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + f - 6 = 0, n + 2*f + f - 8 = 0. Let c = 18961 + -18961. Solve 1 = 2*o - y, -5*o - n*y + 6 + 19 = c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 7*d + 2. Let w = -39 + 32. Let o be u(w). Solve -o*v = -6 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0334, 16.5, 5, -1.\nAnswer: -1, -0.0334, 5, 16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u + 4804. Let r = 745 - u. Suppose 2*w - r = 6853. What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 240 = r - 0*r, -4*r - 16 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-10) + (-3216)\/(-2160). Which is greater: l or -27?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19476 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**3 - 6*a**2 + 0*a**2 + 6*a**2 - 110*a**3.\nAnswer: -86*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + t**3)*(4*t + t - 4*t) + (-156 + 53*t**2 + 156)*(5*t**2 - t**2 - 3*t**2).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -277977?\nAnswer: -55595.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3508060 to the nearest ten thousand.\nAnswer: 3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.47 - -28.47. Let s = 253 - 253.2. What is the closest to s in -1, 0, -6, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b. Let n(i) = -4*i**2 - 1122*i + 66. Let k(x) = 2*x**2 + 562*x - 36. Let s(t) = -11*k(t) - 6*n(t). Determine l(s(a)).\nAnswer: -8*a**2 - 2200*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-13)\/(2301\/915). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**6 + 11*z**2 + 10*z - 2*z**6 - 10*z wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010101101110001 (base 2) to base 9\nAnswer: 126134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67\/5 of a meter?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose -r - d*r = 0. Solve r = 4*n + 8, -b + 0*b + 2*n + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*h**2 + 2*b**3*h*r**3 + b**3*h*r - 4*b**2*h**2*r**3 - 2*b**2*h**2*r - b*h*r**3 wrt b?\nAnswer: 24*h**2 + 12*h*r**3 + 6*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 288343 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + sqrt(96)\/sqrt(3).\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 1. Suppose -3*j = -2*q - 14, -4*q = -7*j + 4*j + 16. Let t(s) = s - 1. Suppose 0 = 6*x + 9*x - 30. What is q*y(f) + x*t(f)?\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 8, -44, -914 in ascending order.\nAnswer: -914, -44, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1140378788*o**3 - 879638485?\nAnswer: -3421136364*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose f*d - 23 = 77. Let t = 47 - d. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 448416 = 10*c. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223588 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o**2 + 3*o - 3*o)*(o - 3 + 3) + o**3 - o**3 + 3*o**3)*(-o**2 + 2*o**2 - 3*o**2).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {v: 3, r: 7, x: 3}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7667 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.8 - -16.95. Let f = -6 - g. Let p = 2.35 - f. What is p rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12 + 6 - 4*s - 17. Let c be i(1). Let u be 3 - (9\/(-3))\/c. Solve u*j - 3 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -170*i + 34. Let u(c) = 4*c - 1. Let p(b) = -3*l(b) - 102*u(b). Let q(s) = -4*s. Determine q(p(n)).\nAnswer: -408*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128025 divided by -25.\nAnswer: -5121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/64008 and 67\/71120?\nAnswer: 640080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-8)\/(-2))*(-7)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away 15.7909?\nAnswer: -15.6809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18023324 is divided by 179.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/12*(-36)\/(-1260).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 50 - 5. Let x be (t\/10)\/(3\/(-30)). Suppose -3*q - 4*v = -v - 108, -3*q + x*v + 84 = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73012777?\nAnswer: 73012777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2324 and 1345.\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 2\/3*h**3 - 1\/15*h**5 + 0 - 1\/6*h**4 + 0*h + 1\/30*h**6 - 6*h**2. Factor z(d).\nAnswer: 4*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279 + -274. Let j be 2\/5*20\/2. Suppose 0 = -h - z + 4*z + 16, -4*h - j*z = 0. Solve 0 = p*m + 6 + h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + -509309466.18?\nAnswer: -509309466.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2268659.00023 - 2268629. Let d = 30 - u. What is d rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 1. Let f be v(2). Suppose 5*i + 103 = o, -f*o + i + 38 = -357. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - -247. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 66. What is the remainder when m is divided by (-164)\/(-14) - (-12)\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p**2 - 96*p**2 + 43*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.42 + -0.58. What is the third biggest value in 3\/7, 0.07, j, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 2*w = -25*i + 152, -4*w + 124 = 3*i. Let x be 38\/(-18) + 4\/i. Which is the third smallest value? (a) -8 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 91\/121 and 38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let t(a) = 14*a. What is w(t(i))?\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000122595 rounded to seven decimal places?\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-18))\/(2\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 13}. What is prob of sequence yff?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 1. Suppose 2*u - 13 = -5*v + u, -3*v - 4*u + 1 = 0. Let n be (-2 + v)*2\/2. What are the prime factors of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5568)\/1798)\/32)\/(-1)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 - 5*s**2 - 109*s + 18. Let l(g) = 3*g**3 + g**2 + 29*g - 4. What is 9*l(x) + 2*v(x)?\nAnswer: 5*x**3 - x**2 + 43*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 5 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*455\/2002\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409186673.\nAnswer: 7, 113, 517303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/3))**(-50))**(-11))**39 assuming d is positive.\nAnswer: d**7150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -77, -120, -169, -224, -285?\n\"Answer: -3*p**2 - 28*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**22*a)\/((a\/(a*a*a\/(a*a**(2\/3))*a))\/a))\/(a**(-1\/7)\/(a\/(a*a**(-4)))) assuming a is positive.\nAnswer: a**(619\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6054464 and 10868?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53497267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (237*(1 - 2))\/1. Let o be 306\/(-136)*(1 + t). Calculate the greatest common factor of 59 and o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**8)\/c*c*c**(-1\/4))\/(c**1\/(c\/(c**(-6)*c))) assuming c is positive.\nAnswer: c**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**3 - 1. Let d be z(-1). Suppose 5 + 7 = 3*p. Suppose w = p*c - 4*w + 4, -3*c + 5*w - d = 0. Solve c = -4*q + 5*b - 17, 5*q = -3*b + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -155, -562, -1349, -2642, -4567?\nAnswer: -7250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93.9, 1\/7, 0.5, -225 in decreasing order.\nAnswer: 93.9, 0.5, 1\/7, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*1)\/sqrt(11))**2*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750260 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/4 - 104407*u**2\/2 + u\/4 + 104407\/2 = 0. What is u?\nAnswer: -208814, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(190) + sqrt(190) - (sqrt(190) - sqrt(190)*2)*-3)\/(5*1*-1*sqrt(1210)).\nAnswer: -sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**5\/5 + 2*y**4 - 52*y**3\/3 + 2389*y + 4873. Differentiate u(w) wrt w.\nAnswer: 8*w**3 + 24*w**2 - 104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 14*m + 1587. Let o(z) = 26*z + 3163. Calculate -4*o(v) + 7*x(v).\nAnswer: -6*v - 1543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1608, -3142, -4676, -6210, -7744?\nAnswer: -9278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**5 - 1743*w**3 - 2*w**5 + 1746*w**3 + (-22 - 30*w + 22)*(w - 3*w + 3*w + (-2*w + 2*w + 2*w)*(-3 + 2 + 3))*(3*w**3 - 5*w**3 + 0*w**3).\nAnswer: 305*w**5 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 14*o**2 - 6*o - 49. Let q be 50\/4 - 40\/(-16). What are the prime factors of h(q)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/1862)\/(315\/2394)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.224657 + 0.224542693. Round y to 7 dps.\nAnswer: -0.0001143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1201 + -1198. Solve y - z - 4 = 0, -4*z + 14 = g*y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 - 6*v - 5. What are the prime factors of r(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161740810 rounded to the nearest 1000000?\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2273, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2671 + -1175. Let w be k\/(-119) + (-6)\/14. Which is bigger: w or -15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {q: 6, n: 2, a: 1, h: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 237*q**3 - 237*q**2 + 237*q + 237. Let g(w) = -w**2 + w + 1. Give 237*g(k) - j(k).\nAnswer: -237*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 215288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 + -4.\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 22 - 909*s.\nAnswer: -909*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/38 - -14\/19. Let u(y) be the first derivative of -9 - p*y**2 + 0*y. Let f(s) = s**2. Determine u(f(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(6\/72). Let y(d) = d**3 + 4*d**2 - 5. What is y(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397105.36 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56722958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 4992.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzmnnnfzzfnnucznmnc. Give prob of picking 1 m and 1 c.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14410, -1.\nAnswer: -5, -1, 14410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1477\/3 in decreasing order.\nAnswer: 2, -1, -1477\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 21 = 2*p, 4*h = p + 3*p. Suppose -1 = -z - 22. What is the units digit of z\/h - 0\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19776*v**3 - 2*v**2 - 54*v - 53. What are the prime factors of j(-1)?\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 92*a**2 + a - 70. Let f(c) = -12*c**2 + 1. Calculate 7*f(z) + k(z).\nAnswer: 8*z**2 + z - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -76812522.\nAnswer: 1\/38406261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 10, 228, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-4) - ((-10)\/8)\/5. Let n be -6 - m - -5 - (-3 + 1). What is the first derivative of -n - 15*a**2 + 12*a**2 - 15 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 != -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 - (-2 + (-7 - 4)) - 8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**6\/2 - j**5\/10 - 13*j**3\/3 - 67*j. Find the second derivative of w(c) wrt c.\nAnswer: 540*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*2*2*3*-1*-5)**2.\nAnswer: 5540400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 469*o + 45104. Calculate u(135).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:44 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 5, x: 1, h: 3}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6*(-15)\/(-2). Suppose -3*z + 4*y + 23 + 33 = 0, 3*y + 97 = 5*z. Calculate the highest common factor of l and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266 - -101. Let n = 318 + a. Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709907.\nAnswer: 3, 47, 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12.5163*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(11) + sqrt(396))*1.\nAnswer: -35*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1607 - 393. Round s to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/13 - 5 - 5942250\/(-195).\nAnswer: 31, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 1936.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 895*s**4 + 12*s**3 - 4*s**2 + 6*s - 1724. Let z(c) = 3*c**4 - 2*c**3 + c**2 - c + 1. Let m(p) = -a(p) - 6*z(p). Differentiate m(t) wrt t.\nAnswer: -3652*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from {p: 3, k: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 - c - 1. Let m(f) = -f - 2. Let h be m(-4). Let u be w(h). Suppose 16*z + 6*z**2 + 41*z + 9*z**2 + 12 - 21*z**3 - u*z = 0. What is z?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0289 + -0.0288998974. Round f to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 138.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3154475545.\nAnswer: 5, 13, 17, 2854729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*t = h - 136*t + 3828, -11510 = 3*h - 4*t. Are -3834 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 11:43 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2. Let t(i) = -3*i**3 + 4*i + 5*i**3 + 0*i**3 + 5 - 3*i**3. Let f be t(-2). Let a(u) = 30*u - 30*u + f*u**2. What is a(o(m))?\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let h be 0 - (-3)\/(165\/10). Let w = 17907.034 + -17890. Let p = -0.034 + w. What is the third biggest value in 1, p, 3, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 56*i**2 + 29*i**2 + 8*i**2 + 6*i**2 + 9*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t - 5*t)*(0*t - 2*t - t)*(-6*t**2 - 7*t**2 + 2*t**2) as j*t**2 + v*t + k*t**4 + q*t**3 + n and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000178458 to seven dps.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**5\/60 + s**4\/9 - 5*s**3\/18 + 24*s + 29. Let k(r) be the first derivative of u(r). Factor k(m).\nAnswer: m*(m - 1)*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + a + 9. Let d be s(-7). Let r be 4 + (5\/(5\/2) - d). Solve r*z - 4*u + 8*u = -12, -4*u - 12 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-4\/3)*d)\/d**(2\/11)*((d\/d**(-19))\/d*d)\/(d\/((d**(-2\/65)\/d)\/d*d)*d))**42 assuming d is positive.\nAnswer: d**(554176\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7) - 4654\/91. Let h = d + 89. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 631 + -628. Let q = -12 - -8. What is the fourth biggest value in q, s, -3, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 3, z: 3, w: 1, u: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -18\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**4 - 3880*u**3 + 15445*u**2 - 3830*u - 23160 = 0. What is u?\nAnswer: -1, 2, 3, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*i*m*w**3 + 3*i*w**2 - i*w - 159*m**2*w**3 + 50*m**2*w + 26*m*w**2 + 47*w**3 + 12*w wrt w.\nAnswer: -294*i*m - 954*m**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, -1\/38, -5, -0.1, -3.94?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(176)*-2)\/sqrt(4))\/(sqrt(400)*-1*6).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 33 + -11 + -40 + (0 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15838749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*x + 99*x - 32*x + (2*x - 2 + 2)*(-1 + 4 - 5) - 1 + 2*x - 2*x + x.\nAnswer: 27*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 - k + 4. Let d be s(0). Suppose d*f + 38 = 4*p + f, 0 = -2*p - 3*f + 28. Suppose 4*j = 45 + p. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/269 + -11034\/1345. What is the common denominator of h and -83\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1293392012 * 0.4.\nAnswer: -517356804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h + 1. Let v be s(2). Let i be 3 + (v\/(-3) - 2). What is the common denominator of (178\/i)\/((-80)\/12) and -97\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 94 = -2*p - 24*a, 0 = -p + 2*a + 16. Let y = 174 + -24. Calculate the highest common divisor of p and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6369441, -12738881, -19108321?\nAnswer: -25477761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1, -12594, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1269 + 1300. Let m = 1 + 0. Let k be (-124)\/(3\/(-2) + m). What is the greatest common factor of i and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900236 and 8152?\nAnswer: 1834680968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 39739*t**3 + 2*t**2 + 574 + t**4 + 39733*t**3 in the form c*t**3 + f*t**2 + o*t**4 + i*t + x and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 195389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -857.421 - -858. Let j = 0.579 - p. Sort -3, -0.04, j.\nAnswer: -3, -0.04, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 317, -657, -41 in increasing order.\nAnswer: -657, -41, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -35. Is -17 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)\/(k**(-26)\/k))\/(((k*(k**(1\/28)\/k)\/k)\/k)\/k)**(-1\/10) assuming k is positive.\nAnswer: k**(3837\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*2 - sqrt(1088)) + -4 + sqrt(1088)*-2 + -1)*3.\nAnswer: -24*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3898952 divided by 7.\nAnswer: -3898952\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:50 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b - 27. Let a be z(-3). Suppose a*f - 19*f + 5*k = -1, -4*k = 4*f - 28. Solve 0*o + 5*i = -3*o + 5, f*o - 28 = 4*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -304*g + 12. Let r be 8\/(8\/5) + -2*3. What is the least common multiple of f(r) and 12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 35. Find the second derivative of -k*q**3 + 13*q - 2*q**3 - 23*q wrt q.\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*c + c + 39, 5*c + 45 = -5*f. Calculate the remainder when 213 is divided by (116 + f)*(-2)\/(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 4*d - 18 = -17*y, -4 = y + 2*d. Let o(s) = -49*s**2 + 3*s**2 + 60*s**y. Let c(w) be the third derivative of w**4\/8 - w**2. Calculate c(o(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895147.7 millennia to centuries.\nAnswer: 8951477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 5*c**4\/12 - 10*c**3\/3 - 30*c**2 - 24*c. Find d such that z(d) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3 - 1 - 3*m + 0*m + 2*m**2 - 3. What is the remainder when 64 is divided by s(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216*(-44)\/119988*(-2)\/16?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2739242625 to the nearest integer?\nAnswer: 52338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -11*q + 195. Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:35 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187.9*9.88.\nAnswer: -1856.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 425 + -411. Which is the biggest value? (a) 3 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322902*o - 322831*o - 1846 = 0 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.3717 litres in millilitres?\nAnswer: 357371.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(385))\/sqrt(7))\/(sqrt(30)\/(sqrt(6) + (sqrt(96)\/sqrt(2))\/sqrt(8)))*3 + -2.\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 19761*l + 911243. Determine u(-46).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 1. Determine a(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198058.\nAnswer: 2, 7, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 - 8214901*h + 202453795319403\/2.\nAnswer: (h - 24644703)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(-8 - -12 - (-258)\/(-65))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61889516 divided by 499109\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7780\/6 - -2) + (-31)\/186. Let j = 1301 - v. Factor 0 - j*w + 1\/2*w**2.\nAnswer: w*(w - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9224140 + 9224198.00163. Let b = -58 + s. Round b to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:53 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 15, 5 in descending order.\nAnswer: 15, 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5159291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(4 + 45\/(-12)). Calculate the common denominator of 89\/4 and -2 + (-1 - h) + (-15)\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106533 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: List the prime factors of 2198.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2132 (base 5) to base 3\nAnswer: -101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 - 1 + 14*g**2 + 1.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 1. Put 3, 4, c in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -q - 5*a, -4*q + a - 2 = 67. Let v = -25 - q. Is -5 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7417100 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31510038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 3*s - 8. Let t(j) = -j - 1. Suppose 0 = -7*d - 5 + 12. Let w(y) = d*c(y) - 2*t(y). Determine w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 13. Suppose 5*g - 2*d = 2*d + 19, 0 = -4*g - 2*d + 10. Solve 0 = g*m + 2*o - 4, 4*m + o - k*o = 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, d: 2, f: 2, z: 1, w: 1}. Give prob of picking 1 x, 1 f, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -456.083 * -0.1\nAnswer: 45.6083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13458 is divided by 257.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 56*f. Let x(l) = -106205*l**2 - 5*l + 4. Calculate m(x(o)).\nAnswer: -5947480*o**2 - 280*o + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 533759660 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:26 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -154*d - d**2 + 154*d. Let h(o) = 210*o. What is h(b(k))?\nAnswer: -210*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023056013 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/22)\/((3850\/(-484))\/(-175))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**7\/21 + g**6\/3 - g**5 + 5*g**4\/3 - 5*g**3\/3 + g**2 - 5*g. Find s, given that t(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000468715 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**6\/60 + f**5\/5 + f**4 + 8*f**3\/3 + f**2 + 3. Let b(d) be the second derivative of k(d). Factor b(a).\nAnswer: 2*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/34 and -55\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52352838 is divided by 1090684.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let v(p) = -4*p - 3. Let c be (-708)\/5192 + (-1113)\/66. What is c*n(d) + 6*v(d)?\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117076.\nAnswer: 2, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzizizziziiiiz. Give prob of picking 3 z.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6270 by -6.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 9*k - 10. Let i be (((-63)\/6)\/(-1))\/((-1)\/10). Let m = i - -105. Suppose 3*y - 3*t + 36 = m, 4*t - 10 = -t. Determine c(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-3))\/((-12)\/(-108)*6). What is the second derivative of -8*w + 15*w**m - 4*w**3 - 11*w - 21 + 22 - w**3 wrt w?\nAnswer: 300*w**3 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -12. Suppose -2*p = -5*h + c, -5*h + 2*p = 4*p - 40. Calculate the least common multiple of h and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-5))\/(8\/20). Let u be (3 - 0) + (1 - -1). Let y(q) = 0*q - 3 - u*q + n*q + 3*q. Give y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from inizizizziizirz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 a factor of 24612384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89493 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-539)\/231 - (-3)\/(162\/12)*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1*7)\/((-102)\/18768)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 22*g - 22. Suppose -7 = 4*z - 99. Let d be j(z). Let u be 2 + (1 - d) + 2. Solve -4*m = -b - 7, u*m - 9 = 4*b + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40207\/8 < 5027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/5, -156, 4\/7, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -15*x + 73 + 59 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3621, -25, 8, 1 in descending order.\nAnswer: 3621, 8, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -49, -8, 79, 224, 439?\n\"Answer: 2*t**3 + 5*t**2 - 22*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1012\/1771)\/(15\/(-70)*40\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 506 - -348\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/5 - 698*b**2\/5 + 40528*b\/5 - 649672\/5 = 0. What is b?\nAnswer: 34, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 18*b - 7. Let a be k(13). Let w = -3 - -1. Is w + a - (-2 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 85*l. Let b(g) = 2*g. What is b(k(h))?\nAnswer: 2*h**2 - 170*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163234069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -116?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(-374*(-99)\/6534)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120343\/60 + 6022\/3. Find the common denominator of z and 85\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 2*c - c + 11*c + 4*c - 4*c + (-4 - 1 + 3)*(0*c + 0*c + c) to z + s*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-7)\/(28\/8). Suppose -u*b = -0*k + k - 36, -3*k - 20 = -2*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 570 + -4573\/8. Find the common denominator of 89\/52 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 6*q. Let b(n) = -2*n**2 - 5*n + 1. Let j(h) = 3*b(h) + 2*v(h). Let y = 31 - 28. Let u be (-5)\/2 - y\/6. Determine j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783437500?\nAnswer: 2, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19206)\/342 - 111\/(-703)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*((-36)\/(-4))\/36)\/(22\/(-1364)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-4)\/(-16) - (-3)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.28824kg to milligrams.\nAnswer: 90288240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621585 divided by -124317.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5dcc - 2?\nAnswer: -5dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 91923870?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)\/(8\/24). Let f be t\/(-2 + (-1)\/(-2)). Sort 3, -4, f in descending order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2. Let o(r) = -9*r**2 - r**2 + 6*r**2. Determine z(o(t)).\nAnswer: -80*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-8 + (-1 - (0 - 7)) + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/21 + 6596*x**3\/21 - 5438402*x**2\/7 - 766*x - 3. Determine s so that a(s) = 0.\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2\/2 + u - 383. Let y(g) = -3*g + 2. What is 4*h(d) - 2*y(d)?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11087*0.1.\nAnswer: -1108.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 93.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/49 - ((-444)\/350 - -2). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 2)*(0*t + 4*t - 2*t) - 6*t + 6*t - 4*t)*(0*t + 0*t - 2*t**3).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120096 divided by -1972.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*21\/(2205\/56)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 75833968 divided by 18958492\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from pppvpppvvp?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bd - 16?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 - 9?\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let v be -1*(d - (-2 + 1)). Let l(o) = o**2 - 16*o - 21. Let z be l(17). Put z, v, 2 in descending order.\nAnswer: 2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66234\/115 >= 575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = m - 2, 0*f - 12 = 3*m + 3*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-175)*380\/1026.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*q**2 + 11*q**2 - 60*q**2 as j*q**2 + m + y*q and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244\/77679 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -528274912, -528274914, -528274916, -528274918, -528274920?\n\"Answer: -2*n - 528274910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -11292571.\nAnswer: -6\/11292571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296028221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.590843 micrometers?\nAnswer: 9590.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 - 746 = -17*d - 55. Solve d*z = 151*z - 70*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216352 (base 7) in base 14?\nAnswer: 71999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxsxxxxxs. Give prob of sequence sxs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 4\/(1 + 1). Let t = o + 0. Solve -20 = -4*s - t*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4. Solve 5*g + 3 = h*c - 2, -3*g - 20 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000075407 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*r - 4, 3 = 2*a - 2*r - 9. Suppose a*g - 8 = 2*t + 2, 2*t = -2*g + 14. Calculate the remainder when 14 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 210. Let x = 16 - 65\/4. Sort -0.2, w, x in increasing order.\nAnswer: x, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -969 - -969.006747. What is v rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 531637, 531654, 531671?\n\"Answer: 17*m + 531620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*g - 37. Let x(p) = -p - 1. Let m be x(3). Sort -1, m, g in descending order.\nAnswer: -1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*h - 93 - 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/7, 1\/5, -6, 36, -2, -1.545?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 13*g - 11. Let q be k(-14). Suppose -n = 3*h + 3*n + 8, 2*h - q*n - 23 = 0. Let o = h + -69. Round o to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 - 25*j**4 + 29*j + 541*j**2 + 21*j - 186*j**4 - 50*j wrt j.\nAnswer: 120*j**2 - 5064*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 11) in base 7?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/3 + r. List the prime factors of d(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*10*(-12)\/20. Let p(l) = -2*l**2 + l**2 - 2*l**2 + 9*l**2 + a*l**2. Let y(o) = 29*o**2. Calculate p(y(c)).\nAnswer: 7569*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.33 + -3.73. Let a = 0.2 - z. Round a to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*t + i - 4, 5*i + 5 = 0. Suppose -4*o = -2*s, -4*o + 9*o + 14 = -s. Put o, -4, t in ascending order.\nAnswer: t, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 2*t + 0*t + 4*t - 27.\nAnswer: 2*t - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Let p(q) be the third derivative of -157*q**4\/24 + 1229*q**2. What is l(p(i))?\nAnswer: 314*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 54501?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*u + 207*u - 75*u - 78*u - 64*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 + 920. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -7918244.\nAnswer: -63345952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 1\/4*m**4 + 0*m**2 + 1\/3*m**3 + 0 + 2*m. Find the second derivative of s(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56370358 + 0.1058.\nAnswer: 56370358.1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -14*t + 74430. Is 32 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 29. Suppose 2*o = 5*s - 34, 5*s = -q*o + 23 + 23. Suppose -s*p = -71 - 33. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12467285*o**5 + 2*o**3 + 97233*o**2 - 149*o.\nAnswer: 748037100*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29188, 29434, 30102, 31402, 33544, 36738, 41194?\n\"Answer: 35*w**3 + w**2 - 2*w + 29154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -8. Suppose 3*z = 2*g + g, 3*z = 9. Suppose 4*b - 1 + g = -s, -2 = s. Put y, b, -5 in decreasing order.\nAnswer: b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 1795*a**3 + 9620*a**2 - 950400*a = 0 for a.\nAnswer: -352, -27, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.7 + -18.4. Which is the second biggest value? (a) x (b) 0.08 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2\/2 - i - 9. Let x be c(6). Solve x*v - 3 = -18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1 + 8 - 3*o + 12 - 313*o**2 + 1443*o**2 - 1. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3 - 17. Let n = 9 - i. Suppose 0*k - n*k = -30. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 5500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15234459 or 15234457?\nAnswer: 15234457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.9. Let l = 1.8 + -18.8. Let h = 17 + l. Which is the nearest to x? (a) 0.1 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313538 and 142006.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 94 - 195 = -19*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/22 - 8*d**3\/11 + 48*d**2\/11 - 128*d\/11 - 22. Factor h(c).\nAnswer: 2*(c - 4)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63840\/588 + 16\/(-28) and 852.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*v - 160 + 149, 12*n + 6 = 3*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98290904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 941 - 10349\/11. What is the nearest to -2 in -0.5, 2\/9, g, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74.98902um?\nAnswer: 74989.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 28 - 7 = -4*f, -25 = -5*u + 4*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + -6 - 0\/(-2). Let m(n) = -4*n - 2 + v + 5*n + 143*n**2 - 2. Is m(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*b - 15, -5*b + 3 = -u + 2. Put u, -3, -4 in decreasing order.\nAnswer: -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 1, w: 5, t: 1, m: 1}. Give prob of sequence mwr.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:08 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:42 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 - 0.8. What is the biggest value in -5, -3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 40. Suppose 0 = -7*s + 2*s + w. Put s, -1, 5 in descending order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338836793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*196\/(-56). Put -0.2, -2\/7, g in decreasing order.\nAnswer: g, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + k - 1193 = 6*k, 0 = 5*f + k - 1513. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10664, -500, -2?\nAnswer: 10664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b6 (base 12) to base 4.\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 42840*c**2 + 2089148*c + 4349688 = 0.\nAnswer: -2, 51, 10661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 7*t - 6. Let f be i(6). Suppose f = 30*w - 421 - 89. What is the remainder when 2442\/21 - (-4)\/(-14) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 36*m + 33*m = 40, -4*m + 42 = -2*q. Let u(o) = -2*o**2 + o + 1. Let x(w) = -10*w**2 + 5*w + 5. Give q*u(g) + 2*x(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 15. Suppose p = 6*p + 3*h - 55, b*h = -10. What is the smallest common multiple of 22 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 + 22 - 13)\/(5*1). Suppose k = 20*u - 383 - 1497. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153 + 156. Let a = -398 - -396. What is the second biggest value in n, -2\/3, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3772 divided by 496?\nAnswer: -943\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*4)**2*-1 + -2*sqrt(252)*2 - (((2*sqrt(252) + -5 - sqrt(252)) + 1 + sqrt(252) + -2)**2 + 2).\nAnswer: -5078 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2465 and 19720?\nAnswer: 19720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.1 + -46. Let r = f - -5. Let h be (-13)\/(-5) - (-18)\/(-6). Sort h, r, -4.\nAnswer: -4, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 579 - 537 = 0. Solve -q*w - 338 + 320 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dda when three letters picked without replacement from {e: 2, t: 2, a: 1, m: 2, f: 6, d: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -32. Let k = s + 6. Sort -1.1, 3, k.\nAnswer: k, -1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 - 7. Let f = -200 + 204. Which is the second biggest value? (a) f (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -13*g**2 - 3*g + 5. Let j(p) = 4*p**2 + p - 2. Calculate -8*j(u) - 3*m(u).\nAnswer: 7*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3 = 31. Let b be o\/20 - 72\/(-10). Suppose 0 = w - b. What is the remainder when 47 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 9*v - 15. Let h be w(-7). Let m be (2 - 73)\/(0 - h). Let p = m - -144. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 + -3. Let t = -0.1 + 0.2. Let i be 25\/20*(-18)\/(-15). What is the third biggest value in t, a, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8293062ug to nanograms.\nAnswer: 829.3062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 7*k - 11. Let z be d(9). Suppose -z*y = -2*y - 75. Let h = -13 + y. Calculate the greatest common divisor of 5 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 1, m: 4, f: 3, j: 4}. What is prob of picking 2 m and 1 h?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15522 divided by -63.\nAnswer: -5174\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103013051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.08 + -1.8. Let f = 1.02 + g. What is the second smallest value in 2\/15, 4, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1409007, -1409049, -1409091, -1409133, -1409175, -1409217?\nAnswer: -1409259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(4*sqrt(170)*2 + sqrt(170))*-1)\/(-5*(sqrt(640) + -3*sqrt(640))*3))**2.\nAnswer: 1377\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17725405 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -322 or -323?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t = 1113*t - 30550 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 + c + 1. Let h(g) = 3*g**3 + 15*g**2 + 18*g - 13. Let l(i) = -h(i) + 4*j(i). What is l(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91354907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -98.81?\nAnswer: 102.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.2 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5860279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*w + 60 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 102*v + 21619. Calculate l(-220).\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + -0.3. Let q = 1.6 - p. Let v = 0.79586 + -15.79586. Put q, -1, v in decreasing order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*o - 3 = 430*o + h, o + 2 = -2*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(11) + sqrt(11) + sqrt(22)\/sqrt(2) + 5 + 0 + (-1*sqrt(11))**2 - (((1*sqrt(132))\/sqrt(12)*-3)**2 + 0)).\nAnswer: -82 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(1*sqrt(32)\/sqrt(4)) - sqrt(136)\/((sqrt(640) + sqrt(40) - sqrt(40))\/sqrt(5)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522965*u - 522965*u + 10*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/7 - 1014*j**4\/7 - 6*j**3\/7 + 434*j**2 + 2028*j\/7 = 0. Calculate j.\nAnswer: -1, 0, 2, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/4 + 9*n. Let z(v) = v**2 - 3*v**2 + 0*v**2. Let g = -7 - -2. Give g*z(f) + 3*i(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -46. Calculate the remainder when 44 is divided by 4\/18 + (-928)\/q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + 24.9. Let u = o - 24. What is the biggest value in u, 3\/5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136680)\/(-12529))\/(8\/22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 471 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6) + ((-2219886)\/8991)\/(-193)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*m**3 + 2*m**4 + 0*m**4 + 2168897*m - 2168914*m to the form s + r*m**3 + x*m**2 + t*m + a*m**4 and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13470408 divided by 1.\nAnswer: 13470408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10642829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15221795 + 9785.\nAnswer: -15212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145213*a - 11 + 3629*a**3 - 145215*a - 29 wrt a?\nAnswer: 21774*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 6, -1, -10, -21, -34, -49?\n\"Answer: -d**2 - 2*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*a - 14, 0 = -4*q - 2 + 10. Suppose -a = 5*h, 11 + 10 = 4*o - h. Suppose 7*f - o*f = 8. Solve -f = -2*y - 4*t, -2*t + t = 2*y - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*z - 4*z + 153. Suppose -35 = -4*p + 5*j, 2*p + 5*j + 25 = 4*p. Suppose -f = -p*f - 28. Is z equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 196*n + 18. Let m(u) = 65*u + 6. Let q(b) = -7*m(b) + 2*y(b). Let x be q(-4). Let a = x + -133. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 331.82 and 3.\nAnswer: 995.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7982536 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1982 and -39\/16.\nAnswer: 15856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 22*c**2 - 257*c + 58. Let g(t) = 35*t**2 - 409*t + 93. Let m(q) = -12*g(q) + 19*h(q). What is m(14)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 308ddc + -64?\nAnswer: 308d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 682547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*h - 308*h - 333*h - 298*h + 1188*h.\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2. Let m be y(0). Suppose 0 = -i - 5, 4*i + i + 22 = -t. Let z be m + 25 + (-9)\/t. Solve -3*q + z = 4*p, 5*p + 16 - 41 = 5*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236761 is divided by 177.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-9)\/108*2. Which is the second smallest value? (a) 5\/8 (b) n (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108\/1345 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/15 (b) -5 (c) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 5)\/(2 + 3\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(304)*-5.\nAnswer: -20*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-166)\/3)\/(2\/3). Let p = 1 - k. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 - 4*z + 1. Let g be -12*(-8)\/(-12) - -2. List the prime factors of u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 45875527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 5*d + 6. Let t be w(-6). Let b be (t - 1) + -1 - (-3 + -4). Suppose -3*g - 2*g - 4*j + 20 = 0, 25 = -g + 5*j. Solve 0 = h + b - g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 0 + 2\/(-2). Suppose -b - b + 30 = -2*v, 2 = a*v. Suppose -5*l = -4*l - b. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*j**3 + 1187*h**2*j + 15*h**2 + 34*h*j**2 - 3872*j**3 wrt h.\nAnswer: -12*h*j**3 + 2374*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 2*y. Let o be q(2). Let b = -22 + 32. Let z = 19 - b. Solve o*k - z = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + -19 - 1)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0222 and 12583017838?\nAnswer: 12583017837.9778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + r - 407 = 0, -4*z = 3*r - 26 - 304. List the prime factors of z + -5 - -5*(3 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 432, 387, 344, 303, 264?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4019407917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 1 + 8. Find the second derivative of 0*m + m + m - 12*m**a wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71434.\nAnswer: 2, 11, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266027460.\nAnswer: 2, 3, 5, 59, 75149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 19 = 61 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 + -188. What is the hundreds digit of 1 - (-39)\/(-26)*1696\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 6. Sort -4, h, -1.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + b + 9, h + 4*b = -4*h - 27. Let n = h - -1. Put 1, n, -5 in descending order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445060 and 10472.\nAnswer: 890120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -932 + 2*q - 376 - 2*q + 2*q.\nAnswer: 2*q - 1308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011100011 + -1010011?\nAnswer: 1100010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1719 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4370, 4409, 4484, 4595, 4742?\n\"Answer: 18*k**2 - 15*k + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 96 + 50*u + 84*u + 46*u + 2*u**2.\nAnswer: 2*u**2 + 180*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740827527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -9. Let v = 43 - 389\/9. Let n be -6*2\/8*-1. Which is the nearest to l? (a) n (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 4*c - 6 + 10 + (5 - 3 - 3)*(2*c + 3 - 3) + (5 - 4 - 2)*(-5*c + 0*c + 2*c).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*v - 10, -5*w - 8 = 3*v - w. Let y be 23 + 5 + (v\/3 - 0). Is ((-148)\/(-10))\/(y\/70) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2585176 or 2584935?\nAnswer: 2584935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 66*o**2 - 418*o + 26. What is b(6)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b*h**3*k - b*h*k - 22*b*k**2 - 14*b + 770*h**3*k**2 + 7*h*k + 2 wrt k?\nAnswer: -44*b + 1540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91\/4 + 23. Let y = 1.7 - 1.8. Let m = -4 + 3.6. Which is the nearest to y? (a) p (b) m (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2073 in 3, 4, -3\/5, 0.6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493398971 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.74 - -0.8. Let w = 5.06 - o. Let p = 4 + -6. Which is the biggest value? (a) 2 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, m: 2, r: 3, p: 6, j: 3}. What is prob of sequence zrj?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bbbkbbbkkkbbk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -165 + 171. Suppose 5*c - 345 - 62 = t*w, -77 = -c + 5*w. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806057303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3) - (-4)\/(28\/(-9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110267 (base 12) to base 10.\nAnswer: -269935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234795 divided by -33?\nAnswer: -7115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1)\/((-185)\/((-40700)\/1485))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7965 - -11267. Find the first derivative of -51*h**3 + 38 - i*h + 3302*h wrt h.\nAnswer: -153*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/432 and 65\/205758?\nAnswer: 4938192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) 1\/6 (c) 0.4 (d) 2\/9 (e) 1\/548\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 + 5. Let x be (-1)\/(2 - (-27)\/(-15)). Let n be y(x). Find the second derivative of -6*f**2 - n*f - f + 0*f**2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:16 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -496, -767, -1070, -1411?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 725436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + -5 + sqrt(208)*-1))**2 - 4*(-2*sqrt(208)*2 - (sqrt(208) + -1 + sqrt(208) + 2*sqrt(208) + sqrt(208))**2).\nAnswer: 160*sqrt(13) + 24196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61928145 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*n**5*z - 13*n**3*z**3 + 1178*n*z**3 + n*z + 2 wrt n.\nAnswer: -2700*n**3*z - 78*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 54 = g. Let i(z) = -5 - 6*z - 2 - z**2 + g*z + 4. Let y(j) be the third derivative of j**5\/60 - j**4\/6 + 2*j**3\/3 - 2*j**2. Give -6*i(m) - 5*y(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58786, 117587, 176392, 235201, 294014, 352831?\nAnswer: 411652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-2))\/(-5*(-18)\/(-150))*-2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -146?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120477\/22 + 5481. Let f = 1723 + -20599\/12. What is the common denominator of c and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 9921 = -16*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -584, -678, -752, -800, -816, -794, -728, -612?\n\"Answer: v**3 + 4*v**2 - 113*v - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and 0.281933.\nAnswer: 0.221933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2661.565 millilitres to litres.\nAnswer: 2.661565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793 + 724 - 1517 - 517*q.\nAnswer: -517*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/1506 and -151\/57228.\nAnswer: 57228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - -0.2. Let p = -730 - -729.6. Which is the closest to 1\/5? (a) x (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 8*i - 4635. Determine y(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64376 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-936057 - 38739*k**4 + 936057)*(5*k - 5*k + 2*k).\nAnswer: -77478*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(156) + sqrt(156) + -3*sqrt(156)))\/(6*sqrt(300) + sqrt(12)).\nAnswer: -12*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, x: 1, k: 7, o: 8, g: 1}. What is prob of sequence gd?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**3 - 8*z**3 + 3*z**2 + 0*z**3 - z**2 + 2*z + 0*z**2 to r*z + s*z**3 + v*z**2 + g and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51776, 103553, 155330, 207107, 258884, 310661?\nAnswer: 362438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 57, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9181 + -0.096.\nAnswer: -9181.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.62 - -8.9. Let b = 0.42 + k. What is the fourth biggest value in 10, 2, b, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30300415 + 2?\nAnswer: 30300420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 - 270*y**4 - 1467900*y**3 - 282123250*y**2 - 280655625*y = 0?\nAnswer: -295, -1, 0, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.535539 nanoseconds to hours.\nAnswer: 0.0000000000168154275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 - c + 3. Let y be l(0). Suppose 6*g = 3*g + 12. Find the third derivative of -2*b**2 - g*b**4 + y*b**4 + 0*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3\/2 (c) -3\/5 (d) 8 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/15, 0, 320?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**4\/4 + 2*v**3 - 2*v**2 - 2*v - 3. Determine x(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(300)\/sqrt(6) + (-6*(3 + sqrt(2)))**2.\nAnswer: 221*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 186*f - 186*f. Let v(d) = 10*d. Give g(v(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -41727?\nAnswer: 41729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(50) + sqrt(128)*2 + -6*((sqrt(18) - sqrt(18)*-2) + (-1 + sqrt(162) - sqrt(162))))**2.\nAnswer: -344*sqrt(2) + 3714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 14 - (4 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 28047240 to the nearest one hundred thousand.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/120 - h**5\/15 + 5*h**4\/24 + 3*h**2 + 15*h. Suppose -2*v - 3 = -5*s, -6*s - 17 = 3*v - s. Give l(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56550, 56531, 56492, 56427, 56330, 56195?\nAnswer: 56016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -21. Which is the third smallest value? (a) 1\/4 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 62, -4, -7, -5, -42 in decreasing order.\nAnswer: 62, 9, -4, -5, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -30, 8028, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 23 - 19 - 21 + 58 as u + y*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3014ed + -4?\nAnswer: -301502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.29 + -4.09. What is the closest to c in -5, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**4\/42 - 20*i**3\/63 + 16*i**2\/21 - 588. Solve y(w) = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.07611, -0.28, -2\/5, -5?\nAnswer: -0.07611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/29 and -5\/2274514.\nAnswer: 65960906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4181 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + i + 0*i**2 + 2*i**2.\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-10))\/(((-63)\/(-10850))\/9)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150165 by -5.\nAnswer: -30033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -507 and 0.5845.\nAnswer: -506.4155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25296 and 186000.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t*(((t\/(t\/(t*t**(-3))))\/t)\/t)\/t*t**(-1\/8)\/(t*t**(-1)\/t)*t**(-5\/6)*t*t*t*t*t*t\/(t**(5\/3)\/t)*t*(t**(-1))**(-41) assuming t is positive.\nAnswer: t**(395\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214738760 is divided by 453.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 - -74 - (-7 - (1 + 0))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4953 - -13232. Suppose h - 31134 = -7*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/387 (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 - 20*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**2 + 0 - 1\/2*n**3 - 7*n - 7\/12*n**4. What is the second derivative of j(w) wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/60 + 11*y**5\/30 + 25*y**4\/12 + 13*y**3\/3 - 315*y**2 - 2. Let a(t) = 0. Calculate t.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23217559 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -217*q - 72. Let z be j(-1). Suppose -b + 3*g + 15 = g, 0 = b - 3*g - 20. Calculate the greatest common divisor of z and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0411 - 0.1411. Which is the nearest to 0.1? (a) -11 (b) 3 (c) -2\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56839338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -222\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2437 and -2.5344.\nAnswer: -2.2907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 30*f + 25 + 27 = -2*u, -2*u + 17*f - 92 = 0 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**4*l)\/l**15)**(-1) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9297 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**2\/4 + 399825*k\/4 - 1199295 = 0.\nAnswer: 12, 79953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 + 2 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 109.8 (b) -0.4 (c) -9 (d) -0.13 (e) 4\/3 (f) 15\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -58 in ascending order.\nAnswer: -58, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 - 3*z**3 - 390 + 5*z**2 + 197 to g*z**2 + s*z**3 + y*z + i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85568664 to the nearest integer?\nAnswer: 9250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 1982 + 895. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605425.3 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027245 rounded to 4 dps?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469 - (11 + 30\/(-5))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15889 + (-4 - (-30)\/6). What is m rounded to the nearest one hundred?\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - -151 - (-2 - -7).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/74 and -1\/804.\nAnswer: 29748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/18 + (-4)\/18. Let f = 2 + j. Let g be (-6)\/2 - f - -1. Put 1\/4, g, 2 in descending order.\nAnswer: 2, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10)**(-31)*((h*h**0)\/h)**(4\/23) assuming h is positive.\nAnswer: h**(-310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let c(h) = -4*h**2 + 0*h**2 + k*h**2. Let q(o) be the first derivative of o**3\/3 + 4. Calculate c(q(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 2.1 (c) 1\/8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 - 10*f + 111. Let b(l) = l**2 - 2*l - 1. Give 4*b(y) - d(y).\nAnswer: y**2 + 2*y - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1599 and -103\/18?\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b1 (base 14) to base 6.\nAnswer: 104351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1354.\nAnswer: 3\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let d = -218.3 + 273. Let q = 55 - d. Sort k, 4, q.\nAnswer: k, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2 + (2 + 2 - 5)*(-4 + 5 + 1))*(3 - 6 - n - 3) to q*n + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -194, -419, -724, -1103?\n\"Answer: j**3 - 49*j**2 + j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7070 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: Collect the terms in 11*b + 2*b**3 + 9*b - 20*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6640.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 7*y - 6. Let p be 8*2*(-4)\/y. Which is smaller: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from {p: 1, u: 3, y: 3, c: 1, h: 8, b: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3470*h + 3198*h = 2660*h - 304608 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 7*y**2 + 6*y + 3. Let k be o(-6). Let u be k\/(-6) - (-2)\/4. Suppose u = -5*z - 4*q + 3155, 0 = -2*q + q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8) + 6\/4. Let c(x) = 4*x - 1 - 6*x + 3*x + 17*x**2. What is the remainder when c(s) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-21 - -32) + (9 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j - 24. Let w(b) = -2. Give 2*s(n) - 24*w(n).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 205 + 2?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2173251 to the nearest 10000.\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/48 and -17\/2847.\nAnswer: 45552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 - 4*y**3 - 6*y**2 + 36*y - 27 = 0. What is y?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -542*a**2 - a**5 + 4*a**5 - 7*a**4 + 611*a**2 wrt a?\nAnswer: 180*a**2 - 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-27))\/v**(-6\/7) assuming v is positive.\nAnswer: v**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 112. Let p be 2 - (-10612)\/(-36) - 4\/o. Let j = -147 - p. 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: Let m(c) be the second derivative of 29*c**6\/720 - c**4\/12 - 23*c**2\/2 - 2*c + 9. Let a(b) be the third derivative of m(b). Give a(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279092.5 rounded to the nearest one thousand?\nAnswer: 279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(-5068)\/(-5796) + -19.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 952*t**2*y + 1162*t*y - 2295*y - 17 wrt t?\nAnswer: 1904*t*y + 1162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -131*h - 4. Let k be r(-4). Let p be (-7 - 3)\/(-2)*-2*299\/(-46). Calculate the greatest common factor of p and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/98 and 23\/38?\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 31*u - 80. What are the prime factors of n(-35)?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1053 and 117.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h\/(h\/h**(-6\/5)*h))\/h*h*h*((h\/(h*h**(6\/7)\/h*h*h))\/h*h)\/h)**47\/((h**(-3\/8)*h**(1\/12)*h)\/((((h**(-2)\/h)\/h)\/h*h)\/h)**(8\/9)) assuming h is positive.\nAnswer: h**(-256633\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221222 - -20?\nAnswer: -221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268341438 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tni when three letters picked without replacement from {i: 2, a: 2, t: 4, n: 2, k: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4793606*d**3*m*s**3 + 19*d**3*s**3 - 1929*d**2*m*s**2 + 5*d**2*s**3 - 70*d*m*s**3 + 2*d*s**3 - 15*d wrt d.\nAnswer: -28761636*m*s**3 + 114*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 178163218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*d = -8. Suppose -d = y - 3*y. Solve -4*j - 17 = 4*o + 11, 2*o = y*j - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(-666)\/1665. What is the third smallest value in -2, v, -330, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 18*s + 8*s = -231 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -323*c - 24 + 322*c + 7 + (-c + 2*c + 0*c)*(2 - 2 - 2) + 48*c + 31*c - 18*c.\nAnswer: 58*c - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -34141*d - 375359. Determine z(-11).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 779616 + -29403.643?\nAnswer: 750212.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892550?\nAnswer: 2, 3, 5, 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6.09079992 + 0.173\nAnswer: -5.91779992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 14*b**2 + 14*b - 11. Let u be d(13). Solve 4*a - 2*f + 15 = f, 11 = -3*a + u*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.83 in -4\/7, -4\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4936010 rounded to the nearest 10000?\nAnswer: 4940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wxxxxxxxwwxxwx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + -22 + 7 + (-6 - 16 - -32).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5987980)\/(-286050) - 7*(1 + 2)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 2, c: 1, a: 2, w: 4}. Give prob of sequence aoww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - s = 3, -3*i + 8*s - 6*s + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.5 - -17. Let o = -11 - x. Let p = 2.83 + 0.17. Which is the third biggest value? (a) p (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (5 + -6)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexheeyxexexeeh. What is prob of picking 2 x and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001252 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(320) + sqrt(320) + 2 + -1 + sqrt(320) + -4 + (sqrt(320) - (-2*sqrt(320) + sqrt(320))))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 4. Let h = o - -8. What is the third derivative of 0*j**2 - h*j**3 - 9*j**2 + 12*j**2 wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -19\/2. Let h be (-1)\/3 + 3\/9. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u. Let c be b(-2). Let a be (-2)\/10*-17 - (9 - c). Find p such that -63\/5*p**3 + 12\/5*p**4 + a - 72\/5*p + 111\/5*p**2 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1932\/29 or -68?\nAnswer: -1932\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 949 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, -3\/4, -2\/3, -11\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r + 37*r - 9*r + 98*r + 14*r.\nAnswer: 175*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p + p + 19*p. Let k(a) = 2*a + 4. Let t(x) = 2. Let n be 240\/(-150) - ((-4)\/(-5))\/2. Let z(s) = n*t(s) + k(s). What is z(j(y))?\nAnswer: 58*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + z)*(63 - 89 + 214) - 3 + 3 + 2*z.\nAnswer: -186*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**(2\/5)*((f*f*f**(2\/3))\/f)**25)**(-3) assuming f is positive.\nAnswer: f**(-643\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0546 * -0.2.\nAnswer: 0.01092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489 a factor of 128581289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*j + 349393 + 40773. Suppose -7091 - j = -21*b. What are the prime factors of b?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/48 and (-3 + 1 - -5) + (-94)\/(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 269*v - 267*v - 1 = 0, 2*v = 2. Let y = 9 + -11. Sort 5, z, y in increasing order.\nAnswer: y, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m. Suppose 4*g = 6 + 6. Let c(k) = 11*k. Let n be ((-2 - -12) + -3)\/(2\/6). Suppose 5*p + n = -4*z, -p - 2*z - 13 = 2*p. Calculate g*c(q) + p*h(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698674356.\nAnswer: 2, 7, 96381227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306*u - 2308 + 2308 + (-5 + 25 + 39)*(-u - 2*u + u) - 4*u + 3*u - u + (3 - 7 + 2)*(-3*u + 4*u + 0*u))*(2*u - 1 + 1).\nAnswer: -856*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -184. Let x = 225 + d. Suppose 8*u + x = 11*u. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890343?\nAnswer: 29, 99667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12036 * -5.26\nAnswer: 63309.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.5 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 + (-4 - -1 - (1 + -6)). Solve 2*c = -2*l + d, -5*c + c - 5*l = -45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*l + y, -17*y = -l + 23 - 71 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42135 (base 7) to base 13.\nAnswer: -4944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*(1274\/(-910))\/((-28)\/1880).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*m = -8, -150*j = -141*j - 5*m - 48 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 2\/7 (c) -5 (d) 47\/6 (e) 1 (f) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 + 109 + (-54)\/12 + -3 - (-111)\/230.\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = o. Let m(q) be the third derivative of q**4\/8 - q**3\/6 + 8*q**2. What is the tens digit of m(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2 - 10 + 7*w + 8. Let c(z) = -2*z**2. Determine m(c(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -20\/3704977?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39130 and 1075.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802 = 4*t - 898. Let z(k) = 2*k**3 - 48*k**2 + 31*k + 58. List the prime factors of z(t).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - m + 5 + 6 - 3.\nAnswer: -m + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*l - 2*w - 142, -5*l - 2*w = 178. Let v be (l\/(-15))\/((-6)\/(-20)). Let q = 0 + v. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -5*m, -4*n + 2*m = -3*m. What is the smallest common multiple of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/12*((-14)\/6 + -1) - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3692036, 7384073, 11076108, 14768141, 18460172, 22152201?\n\"Answer: -h**2 + 3692040*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2100\/11261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6 = -2*l. Suppose 0*o + 4*o + 3 = g, 2*g + 5 = -l*o. Is -6\/7 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 3 (c) 3.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.139578 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1296 and 145\/384912?\nAnswer: 384912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 510182.8 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -13. What is the common denominator of (-1)\/(-4) + 122\/u and (-4*(-417)\/18)\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tcttct?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*n + 12, -5*n + 2*m + 13 = -0*m. Let d = 37 + -30. Let s(l) = l + n*l - d*l. What is s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*3)\/sqrt(9) + (1 + sqrt(11))*-1.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63041 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221.2358 + -0.0642. Let y = c - 0.7. Let x = y - -232.3. Round x to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 0*x**2 + 2*x**2 + 1 + 5*x**2 - x. What is the tens digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/15 - 1944\/(-10) is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -74, -697, -2396, -5711, -11182, -19349, -30752?\n\"Answer: -90*h**3 + 2*h**2 + h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6500 is divided by 1623.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 4*s**7\/735 - s**6\/84 - s**5\/105 + s**4\/28 + 2*s**2 + 26. Let d(u) be the second derivative of b(u). Factor d(h).\nAnswer: 2*h*(h - 1)**2*(4*h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40779725 and 6510.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o - 70. Determine q(17).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8646*p + 8649*p = h, 4*p = 4*h - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - n**2)*(363*n + 2186*n - 225*n)*(2*n - 2 + 2) in the form b*n**3 + x + a*n**4 + c*n + d*n**2 and give a.\nAnswer: -4648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, -250, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0736 + 3.8964. Let t = 0.03 + m. Let x = 1.051 - 0.851. Which is the second biggest value? (a) t (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20085353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 2\/17, -2, -0.03, -4.\nAnswer: -4, -2, -0.03, 2\/17, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-590)\/1475*(-70)\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*d, 11*n = 6*n - 33*d - 72 + 63 - 222 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3106, -6219, -9330, -12433, -15522, -18591?\n\"Answer: x**3 - 5*x**2 - 3105*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7*j + 6 = 0. Suppose -23 = d - 0*d. Is 5 a factor of -3 + j + (-2 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63180 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**3\/3 + 9*k**2\/2 + 9*k - 550. Calculate h(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10210?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 56 = -3*z, 3*z - 3*y + 54 = -0*z. Let m = -18 - z. Factor 9*o**m - 4*o**3 + 257*o - 263*o + o**3.\nAnswer: -3*o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 5*k - 5. Let o be y(7). Let p = 176 + o. Suppose -81 = -s + p. What is the remainder when s is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*q - 2 = -38, -5*x = 2*q - 1593 + 1569 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/21)\/(-8))\/(702\/(-20475)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(13) + -1 + -1 - 6*(sqrt(468) - (-1 + sqrt(468) + sqrt(468))))*6)**2.\nAnswer: -7992*sqrt(13) + 641016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289630786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/(3480\/144).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -14.036. Let o = 145227 + -145227.0359963. Let c = d - o. Round c to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23272 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 115 = -4*d - 104, 2*d - 9 = 5*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5.7. Let w = 29\/50 + 1\/50. Which is the closest to w? (a) y (b) -0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + 0.2. Let o = p + -0.3. Let w(k) = k**2 - 6*k. Let f be w(6). Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 9:51 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 70372.\nAnswer: -2040788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a - 536 = 214 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49417 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 + 0*b - 4\/3*b**5 + 76\/3*b**3 + 0 - 24*b**4.\nAnswer: -4*b**3*(b - 1)*(b + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 59*m**4 - 3*m**3 + 2*m + 67*m**4 - 14*m**4 in the form c*m + d*m**3 + s*m**4 + t*m**2 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728781073 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 30. Let j(v) be the third derivative of 0 + v**2 - 1\/21*v**3 + 1\/42*v**z - 1\/210*v**5 + 0*v. Determine m so that j(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/6923 or -21769?\nAnswer: -6\/6923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 8*n + 12. Let p be u(-7). Which is the nearest to 0.4? (a) p (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*u + 67*u - 34*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38318 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -208*p + 91. Let l(f) = -9*f + 4. Let r(d) = 91*l(d) - 4*w(d). Let y(u) = u + 3. Determine y(r(k)).\nAnswer: 13*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*87\/(-2784)*-5856.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 703730, 1407480, 2111230, 2814980, 3518730, 4222480?\nAnswer: 4926230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*n + 10 - 3, -4*a + 12 = -4*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(-4)*p)))\/(p*p**(-1\/8)\/p))\/(p**(-1))**(-18\/5)*((p\/(p\/(p\/p**(1\/2))))\/(p*p**(-1\/2)))**(1\/35) assuming p is positive.\nAnswer: p**(-219\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 2\/9, -4\/39, 2\/3, 58?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 - 2*n + 10. Let z be x(5). Let u = -1306 - -1305. Put z, u, 4 in ascending order.\nAnswer: u, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*g**2 - 511*g**4 - 517*g**4 + 73*g**2 + 1014*g**4 - 42*g**5 wrt g.\nAnswer: -2520*g**2 - 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*i**2*k*m + 4*g**2*i**2*m + 2*g**2*i*k*m**2 - g**2*k - 4*g*i*m + 94*i**2*m**2 + i**2 wrt m.\nAnswer: 4*g**2*i*k + 188*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**9\/3024 + y**7\/504 - 11*y**4\/24 - 5*y**2. Let l(a) be the second derivative of r(a). Factor l(d).\nAnswer: -5*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -54. Suppose -4 = 3*u - r. Calculate the remainder when 50 is divided by ((-51)\/u)\/(1\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 3*n + 0*n + 17. Let o(h) = -19*h + 155. Let f be o(8). Suppose 149 = f*c + 110. Let j(l) = -l + 8. What is c*j(m) - 6*s(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6984 + 48609. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**4\/6 - k**3\/2 + 3*k. Let m be 1\/3*(-2 + 2). Suppose 3*c = -3*f - 3, -2*f = -m*f + 6. Determine j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(21\/2))\/(12\/54). Suppose g + 5*w - 330 = 0, 4*w + 354 = g - f. List the prime factors of g.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, f: 3, e: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48241524 divided by -1622.\nAnswer: 29742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 75 - 288577052\nAnswer: -288576977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 27. Let h = 16 + z. Suppose -3*f - h*q - 2*q = -134, 4 = q. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*r + 8010 = -154*r. Let d = -499 - r. Calculate the highest common divisor of d and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29138 + -29107. Suppose -5*w - 5*r = -155, w - 5 = -5*r + 30. Are w and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0 - 3. Let n(m) be the third derivative of 0*m**a + 0*m**4 - 1\/75*m**5 + 0*m + 0 - 1\/1050*m**7 + 1\/150*m**6 + 3*m**2. Factor n(t).\nAnswer: -t**2*(t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2 - 5*z - 2. Let v(u) = 6*u - 1. Let b be v(1). Suppose 2*x + 15 = -2*t + 3*t, -2*t = -b*x - 32. Let i = -14 + t. Give r(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00535728 rounded to 5 dps?\nAnswer: -0.00536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = 27*i + 6372. List the prime factors of i.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(66\/37) - (-3)\/2. What is the second smallest value in -84\/5, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204054.\nAnswer: 2, 3, 71, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1368 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21)*(-63)\/(483\/23)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 7*b + 2459. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1 - 1 - 2*f**2. Let l(s) be the second derivative of 2*s + 0*s**2 - 1\/6*s**3 + 0. Determine p(l(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/3 - 38*l**4\/3 + 3388*l**3\/3 - 32828*l**2\/3 - 75962*l\/3 - 39710\/3 = 0 for l.\nAnswer: -55, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let m(l) = -491*l. Give m(a(t)).\nAnswer: -982*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3818 (b) -318 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a**3 - 10*a**2 - 15*a + 96. Give h(7).\nAnswer: 3617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from zpllppppzpzpppzzzp.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7382 in 0.4, 7877, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/13468844 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 28. Which is the nearest to 1\/4? (a) 17 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:53 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353990\/22 + -19 + (-2795)\/(-143)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - 9. Suppose 18 = -2*i - 5*m, -4*i - 5*m = i + 30. Let g(h) = -8*h - 9. Let o(b) = i*g(b) + 5*s(b). Does 21 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22046602, -44093199, -66139796, -88186393, -110232990, -132279587?\n\"Answer: -22046597*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {j: 6, x: 2, u: 1, a: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose -v + 6*v - 795 = k. Round v to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*u - 37*u - 1 - 28*u)*(-4*u + 4*u - 2*u**2)*(-538*u - 579*u + 1168*u).\nAnswer: 1632*u**4 + 102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -565.9 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 2. Let i(r) = 5*r. What is i(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:21 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 32. Find the common denominator of 2\/a - (-2 + (-260)\/(-32)) and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-3)\/54) + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + s = 3*j + 10583, -2627 = -j - 4*s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425999, 424965, 423931, 422897?\nAnswer: 421863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 82 and 5016\/61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 633750619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 1\/5 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x + 4*m = 76, -x + 4*m + 20 = 0. What is the greatest common factor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2 - 2\/(-4). Let i = 5 - b. Suppose -4*d - 2*r - r + 960003 = 0, -2*r + 2 = i. What is d rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8 + u**2 + 4 + 6*u - 6 - 3. Let a be b(-6). Suppose 2 = -2*x, a*q + x + x - 16 = 0. Put -2, q, 5, -1 in decreasing order.\nAnswer: q, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - f**2 - 55 + 25 + 17 + 19 - 5*f**4 to t*f**3 + q*f**4 + w*f + n + v*f**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1306696 and 104.\nAnswer: 16987048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-6)\/36 + 3. Solve -b = -13*g + 14*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 169 = -2*o - 0*x, 139 = 2*o + 3*x. Let s(f) = -254*f + 1568. Let v be s(6). What is the highest common divisor of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.23, 493\/4, 4?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - 2*d**4 - 60*d - 16*d**3 - 567 + 598 as l*d**4 + s*d**2 + f*d**3 + o + p*d and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9634.6+0.1\nAnswer: -9634.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2020*s**3 - 1218?\nAnswer: -6060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + j = 9*d + 28, -5*j - 15 = 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437511412?\nAnswer: 2, 181, 1985513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwagaanagww. What is prob of picking 1 g, 1 n, and 1 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*b**3 + 30*b**3 + 29*b**3 + 2 + 29*b**3 - 116*b**3 - 159*b - 13*b**2 wrt b?\nAnswer: -24*b - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 10. Let l be m(-3). Solve -l + 8 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 4 + 9*s**4 - 7*s**4 + 2*s**4 + s**2 - s**2 + (s**4 + 2*s - 2*s)*(0 + 2 + 0).\nAnswer: 6*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/1115 - -88267\/28990. Let n = 25157\/14 + -1801. Find the common denominator of n and f.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let r(i) be the second derivative of -i**3\/3 - 24*i. Calculate 2*d(h) + 3*r(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/((-374)\/55) + 13. Suppose 2*y - 4*q = 36, -2 = 4*y - q - 39. Is y at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k - 0. Suppose 3 + 0 = b + 3*y, -2*b + k*y = -22. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.1. Let m = h - -1.96. Let f = m + -2.1. Is 0.1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936908736 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 4778718?\nAnswer: 19114872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 602804*w**2\/9 + 22908718*w\/9 - 72546560\/3.\nAnswer: -2*(w - 19)**2*(w + 301440)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642113184.\nAnswer: 2, 3, 653, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, p: 3, a: 5, t: 3, m: 6}. What is prob of picking 2 t and 1 f?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**2 + 1\/72*a**5 + 0 - 1\/144*a**6 + 5\/72*a**4 + 0*a + 0*a**3. Factor j(v).\nAnswer: -5*v*(v - 2)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oixogoooxxoxox. Give prob of picking 1 x and 1 i.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -21. Let o be 18*(1 + (-21)\/9). Let a be (4\/(-16))\/((-39)\/o). What is the nearest to 1\/3 in 1\/5, a, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123532 by -16.\nAnswer: 30883\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 36 = 6*l. What is the tens digit of ((-138)\/(-9))\/((-6)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7495 greater than or equal to 3050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 7447*t**2\/2 - 6087*t + 6338. What is the first derivative of n(k) wrt k?\nAnswer: 7447","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.068, -228\/881?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*d - 65*d + 6313 - 151 - 62*d - d**3 to the form y*d**3 + r*d + f + v*d**2 and give f.\nAnswer: 6162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, d: 1}. Give prob of sequence jjj.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*o - 44, 3*w - 61 = -3*o - 22. What is the smallest common multiple of 60 and (1 - 13\/w*4)*-15?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - (-45 - (156 - 348))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*j + 58*j + 3 = 0. Let d(x) = 19*x - 63. Let p(v) = 58*v - 187. Let t(r) = j*p(r) - 8*d(r). Find the first derivative of t(i) wrt i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54464, 54490, 54530, 54590, 54676?\n\"Answer: a**3 + a**2 + 16*a + 54446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b - 12. Suppose 6*k = 12 - 60. Is q(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from ywwkykykfkkfkwffffkf?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4178, 26.\nAnswer: -4178, 26, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/14 and 117\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.99999944 + -2. Round m to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 43*j - 46*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78046430, -78046432, -78046434?\nAnswer: -78046436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 2696*o + 231400. What is t(81)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 1 - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 186.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 747*f**3 - 53*f + 6.\nAnswer: 4482*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwh when three letters picked without replacement from wwhjwhwthjjhjrw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 6*c - 6. Let v be w(5). Suppose 3*l + 4 - 10 = 0. Suppose -l + 6 = -2*s. Is v equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4357 divide 2309660212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**3 - 4*p**2 + 6*p - 6. Let t(n) = -n**4 - n**3 - n + 1. Let m(i) = -6*t(i) - u(i). What is the third derivative of m(o) wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 (base 11) in base 8?\nAnswer: -1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/4*n**4 - 1\/2*n**2 + 0*n + 0 + 5\/4*n**3 = 0. What is n?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:14 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t - 2. Let w(i) = 7*i - 1. Let u(z) = 6*s(z) - 13*w(z). Let x be u(3). Find the common denominator of 105\/22 and 142\/18 + 1\/x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 794. Is 64 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3\/3 + 224*r**2 - 4336*r + 23360\/3 = 0.\nAnswer: 2, 20, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27515 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-1 + sqrt(175) + -2 + -2*(sqrt(175) + 0))*-1*3)**2)*3.\nAnswer: 810*sqrt(7) + 4971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 4. Suppose 3*f - m + 268 + 271 = 0, -3*f = -3*m + 549. Let b = -184 - f. Let v(q) = -4*q + 5. What is b*s(k) + 5*v(k)?\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -54. Let y = -4 - -6. Suppose 4*h = s + 31, -y*s = 3*h - 3*s - i. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.1, -21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.159134 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j = 2*w + 48*j - 56, -7*w = -5*j - 130 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 3*g + 3. Let u(j) = -j - 6. Let c be u(-8). Let v be y(c). Suppose 0 = -4*w + v*w + 8. Is w >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 2*x**5 + 0*x - x**5 + 6*x**5 - 4*x**5 + (3 - 3 - x**3)*(2*x**2 - 3*x**2 + 3*x**2).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 9*i**2 + 18*i - 203. What is y(9)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 - 232 - 2*t + 485 - 4*t**2 + 70 + 456 in the form b + s*t**2 + p*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1780411849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2 (b) 4 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/10 + (-72)\/(-10). Suppose -4*d - y = 0, -2*s + 5*d + 74 = -30. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -155\/6. Let u = 3.16 + -0.16. What is the biggest value in 0.2, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - h = 57638. What is the remainder when h\/(-46)*(0 - -2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 3*g - g)*(-6*g + 8*g - 7*g)*(-19 - 18 + 9).\nAnswer: -840*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 5. Let m be d(4). Suppose -22 = -5*i - 4*b, -3*i = -4*i - 3*b + m. Let x be 1*(-1 - (-2)\/2). Solve x = -5*g + 3 + i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/4*(-1 + 1). Suppose 3*q - 2*k = -14, d = -2*q + q - 2*k + 6. Which is the closest to 0? (a) 3\/4 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let i be (-28)\/(-15) - 3 - -1. Let z = 0.015 + 0.285. Which is the closest to 2? (a) z (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7654 to 1 decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68669813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 11:37 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/20427141 and 68\/105.\nAnswer: 102135705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose -3*l + p = -10. Is 1\/l - 27\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -f + 10, -2*f = -0*f + 4*a + 10. Let q = -24 - f. What is the units digit of 60\/9 + (-3)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14327567 - -136?\nAnswer: -14327431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14744, -27453, -40162?\n\"Answer: -12709*u - 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 369 = 135. Suppose -2256 = 55*y - k*y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p*p*p*p\/((p\/p**(-1)*p*p)\/p))**(6\/19) assuming p is positive.\nAnswer: p**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188 divided by -1188.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-158 + 21*v**2 + 6*v**2 - 28*v**2)*(34*v + 29 - 29) to l*v + w*v**3 + r*v**2 + j and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(5*w**2 - 11*w**2 + 9*w**2 + 6*w).\nAnswer: 9*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*g**5 + 2*g**5 - 12*g**5 - 3*g**5 - 3*g**5 + 2*g**5 + 3*g**5 + g**5 - 2*g**5 + (g**4 + 5*g**4 - 4*g**4)*(-2 + 2 - g) - 4*g**5 - 3*g**5 + 5*g**5.\nAnswer: -34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 4*f - 13. Let x(o) = -2*o**2 + 35*o + 27. Let v be x(21). Let a be v\/25 - (2 + 27\/(-15)). What is the remainder when 201 is divided by r(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*f + 5 - 27 = 0, a - 1 = 4*f. Suppose -21 - 79 = -a*g. Suppose -y + 78 = -5*r - g, 3*y + 5*r - 194 = 0. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13*q + 15. Let r be t(-3). Is r at least as big as 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 12. Suppose 4*i = -2*f + 16, m*f + 4*i - 14 = 10. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {q: 1, d: 1, m: 1, g: 2, k: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7536)\/73476 - 4\/78.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = q - 19, 5*s - 71 = -0*q - 3*q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 35\/33*-1 - 2492\/(-41118). Suppose -12\/11*k**y + 18\/11*k - 8\/11 + 2\/11*k**3 = 0. What is k?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuh when three letters picked without replacement from aaaamuhuuaha?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11.3. Let q = 2.76 - -8.24. Let w = 6 - 3. Which is the third smallest value? (a) q (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 1, v: 2, p: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3 + 25*g**2 - 40*g + 20 = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 205029835 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -7185?\nAnswer: 7195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 224, 342, 460, 578?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y - 6*y - 9*y - 1737035*y**2.\nAnswer: -1737035*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-63 + 16)) + -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 2243*v**5\/15 - 6310*v**3\/3 + v**2 + v - 18. Differentiate d(u) with respect to u.\nAnswer: 17944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179767*x**5 - x**3 - 384 - 359530*x**5 - x**2 + 179766*x**5)*(0 + 1 + 0).\nAnswer: 3*x**5 - x**3 - x**2 - 384","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3091233*j**2 - 4116598*j wrt j.\nAnswer: 6182466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3094*h - 10935. Determine a(3).\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -295 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2503580*l**4 - 18249634?\nAnswer: -10014320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (46292\/(-815))\/((-4)\/30). What is the greatest common divisor of x and 1136?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 7288*j**2 + 117376*j - 470528 = 0. What is j?\nAnswer: -1838, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51\/4*o + 3 + 3*o**2.\nAnswer: 3*(o + 4)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3897*f**2 - 15985497*f - 12306.\nAnswer: -3*(f + 4102)*(1299*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103651072 divided by -66104\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 112\/313, -0.06, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 9, i: 1}. Give prob of sequence tgg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 less than -10.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 38730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 741\/716506 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*j + 865*j = 3915 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1400 - 2879\/2. Let k = -1974 - -438227\/222. Let f = k - -2392\/1221. Find the common denominator of a and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5800 and 4640?\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124847436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 3 - 3 + (-d - 1 + 1)*(-3*d - 3*d + 5*d) + 2*d**2 - 2 + 2 + 386*d**2 - 91*d**2 + 52*d**2 to x + o*d**2 + s*d and give o.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6865937?\nAnswer: 13, 23, 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33830*g**3*u**2 + 2*g**2*u**2 + 51*g**2 + 4*g + 2*u**2 wrt g?\nAnswer: 202980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 992\/31 + 48?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (48 - (23 - 10) - 22)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -545.\nAnswer: -9\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, -4, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 2049?\nAnswer: 7\/2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 592, 611, 648, 709, 800, 927, 1096?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 1.2. Let o = -259 - -254. Let a(p) = p**2 + 11*p + 10. Let n be a(-10). What is the closest to n in o, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 4*y + 1, 8 = 2*n + 2*y. Let g(b) = -b - n*b + 3*b. Let c(a) be the second derivative of -a**4\/2 + 28*a. Determine g(c(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27*(-1)\/48)\/((-12)\/(-16)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 218.\nAnswer: -75\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*w - 37*w + 48 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a3 (base 13) to base 12.\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469358048 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 - 2*b - 61. Determine p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58647 divided by -208.\nAnswer: 58647\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4 + 2040*x**3 - 10254*x**2 + 14376*x - 6165 = 0.\nAnswer: -685, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 229*n. Let u(k) = 21417*k**2 - 2*k + 11. Give u(d(s)).\nAnswer: 1123128897*s**2 - 458*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 7.51?\nAnswer: -8.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29860515?\nAnswer: 3, 5, 373, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/5))\/(q\/(q*q*q\/(q\/(q*q**(-1\/2)*q*q))*q)))\/(((q**(2\/3)*q)\/q)\/q*q*q*(q\/(q**(1\/6)\/q))\/q))\/((q**0*q)**28)**(8\/9) assuming q is positive.\nAnswer: q**(-976\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, -7 in decreasing order.\nAnswer: 19, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from {w: 2, r: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37619320 + 8*r + 109*r**3 - 8*r - 37619320.\nAnswer: 109*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 502 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 709*p**3*y**2 - 3*p**3*y + 418*p*y + 2*y**2 + 2*y + 2 wrt y?\nAnswer: 1418*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0 - 2 - 2 - 2*s. Let t(m) = -1. Let q(p) = -1. Let i(c) = -6*q(c) + 5*t(c). Calculate g(x) + 3*i(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -434620*m**5 + 2*m**4 + 3113621*m.\nAnswer: -8692400*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 655*m + 31387. What is r(-47)?\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 598 and 80936402?\nAnswer: 1052173226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 3*z + 1. Let p(r) be the second derivative of -r**4\/12 + r**3\/6 + 2*r. Let n = 2 + -2. Suppose 4*v - 4 + 0 = n. Give v*l(m) + 4*p(m).\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 210 = b, 0 = 119*t - 118*t - 4*b - 205. Solve -211 = 2*p - t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -135*a + 46. What is the remainder when 9244 is divided by r(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 4652431.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -315 or -320?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*f - 95, 5*f + 32 = 4*b + 126. Solve -30 = -6*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1542842, -1542766, -1542638, -1542458?\n\"Answer: 26*n**2 - 2*n - 1542866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-235))\/(-8))\/((-4098)\/10245).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five halves of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/9 + 190*u**3\/9 + 760*u**2\/3 + 5480*u\/9 + 3392\/9 = 0.\nAnswer: -8, -2, -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -1 - 3 - -8. Suppose 0 = 3*g + o, 5*g = -5*h - 0*g + 35. What is the units digit of (h\/6)\/((-6)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -12.1. What is the closest to -2 in 1, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -614374816*n**5 + 331779775*n**2.\nAnswer: -36862488960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 j when four letters picked without replacement from {t: 5, j: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 79*l**6\/120 + l**4\/6 - 80*l**3\/3 + 115*l**2 - 4*l. Differentiate m(x) wrt x.\nAnswer: 237*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(36\/(-378))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = -182. Factor 28*a + 4*a**3 + 86 - 104 + 28*a**2 - n.\nAnswer: 4*(a - 1)*(a + 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 201.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**2\/2 - 10*q + 22. Let y be p(17). Solve 4*n = y*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = z - w, -3*z = -4*w - 1058 + 1074 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p + 6*p**3 + 7*p**3 + 10*p**2 - 12*p**3 + 2*p**3 as b*p + y + w*p**3 + u*p**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -10. What is the closest to -1 in 1, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*h - 233*h - 5808 = 4*v, h = 3*v + 4362. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 + 240.3. Let n = v + 23.7. What is the fourth smallest value in -1\/5, -4, 3\/5, n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95832 and 50028?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 3*f**4 + 3*f**4 + 2*f**4 - 2*f**4 + f**4 + (-f**2 + f - f)*(-7*f**2 + 6*f**2 - 3*f**2) as g*f**4 + u + s*f + l*f**3 + n*f**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 4462*u\/3 + 4977361\/3.\nAnswer: (u + 2231)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 2*x + 18. What is the tens digit of a(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 3*f + 90 - 382 - 447.\nAnswer: 3*f - 612","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 140610779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26516792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -12*n + 7*n. Suppose -n = -3*o + 3. Suppose 2*x = -z - x + 25, 2*x + 82 = 2*z. Calculate the remainder when z is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304660?\nAnswer: 2, 5, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -s - 475036, s = -2*p - 2*p - 475021. Let v = s + 737033. Round v to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32283.94 nanograms to kilograms.\nAnswer: 0.00000003228394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4848 and 4242?\nAnswer: 33936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 - 12*z - 11. Let p = -313 - -321. Let d be s(p). Calculate the greatest common factor of d and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-21)\/24)*(-3)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 144 = 2*m. Let r(x) = 6*x + 4. Let h be r(-5). Let o = h + m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 6420.\nAnswer: -1\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 51*u + 3. Give n(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + 382 + -430 + (3 - -10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46\/11*t**4 + 0 + 4\/11*t - 26\/11*t**2 + 14\/11*t**5 + 54\/11*t**3.\nAnswer: 2*t*(t - 1)**3*(7*t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:43 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1890221 - 3780263 + 1890042 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/(-10 - 606\/(-60))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4067022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o**2 + o. Let x(g) = -g**2 - 3*g. Let t be x(-2). Determine k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -6\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(sqrt(48) + -1 + 1 + (sqrt(3) - sqrt(3)*1))*-5)**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + i**2 + 10*i - 3 - 15*i to u*i + a + w*i**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -428*g**3 - 3*g**2\/2 - 5013*g - 10736. Find the first derivative of p(s) wrt s.\nAnswer: -2568*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 232, 0.1, 21146?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -5*m**6\/12 + 61*m**5\/6 - 895*m**4\/24 + 775*m**3\/18 - 85*m**2\/6 - 1062. What is q in x(q) = 0?\nAnswer: 0, 1\/3, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuzcvbcyu. Give prob of sequence vcc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 5*y - 1. Let x(t) = -t**2 - 9*t - 1. Suppose 5*p - 61 - 14 = 0. Suppose -v + p = 2*v. What is v*i(g) - 3*x(g)?\nAnswer: -2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/648*-228)\/((-1)\/(-8))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33159?\nAnswer: 3, 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16141*a + 24271*a + 65840*a.\nAnswer: 73970*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011110111100111 (base 2) to base 16\nAnswer: -bde7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*((-96)\/54)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 - 94719*b + 1137060 = 0. What is b?\nAnswer: -31585, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1854 - -1939. Calculate the remainder when 391 is divided by y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 - (9 + -5 - 1). Let n(v) = 2*v**2 - 2*v - 19. What is the hundreds digit of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29587.7 + -29832. Sort 0.3, v, -2.\nAnswer: v, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1034447 or 1034438?\nAnswer: 1034447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -3.9. Let u = 21 + -22. Let v = u + q. What is the second biggest value in v, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/702 and 103\/312?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j - 63. Let k be d(-7). Which is the second smallest value? (a) -1 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j. Let w(i) = -13*i - 1. Let x(d) = 9*a(d) - 2*w(d). Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*o**3\/7 + 12*o**2\/7.\nAnswer: 4*o**2*(8*o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1253*c**5*f**2 + 85*c**4*f**2 + 3*c**2*f - 33953*f**2 wrt c.\nAnswer: -75180*c**2*f**2 + 2040*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 3. Suppose -3*w - 2 = 4. Let i(k) = -1. Let y(n) be the third derivative of -n**3\/2 - 8*n**2. Let a(s) = w*i(s) + y(s). Give -3*a(q) + g(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 28. Let y(n) = 4767 - 4767 - n. Determine y(u(r)).\nAnswer: 2*r**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11073+-10761\nAnswer: -21834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300156 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 - t**2)*(-6*t**3 - 5*t**3 + 0*t**3) + (3*t**2 - 3*t**2 - 2*t**3)*(1 + 1 + 4*t**2 - 5*t**2) + (0 + 0 + 2)*(-2*t**3 + 2*t**3 - 2*t**5).\nAnswer: 20*t**5 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*3.51.\nAnswer: 2.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -659673 (base 10) to base 13\nAnswer: -1a1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3407.4 to the nearest 10.\nAnswer: -3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65218 or -65216?\nAnswer: -65218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 8, -4, 14346, 5\/3 in decreasing order.\nAnswer: 14346, 8, 5\/3, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -44*o + 60. Let j be i(1). Let r be 49 - 1*1\/1. Let v be (-1 + 0)\/((-3)\/r). Calculate the highest common divisor of v and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 5, 0 in descending order.\nAnswer: 10, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -0.2, 2.\nAnswer: -0.2, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*u - 115*u - 122*u + 8*u**4 + 350*u + 226*u**2 + u**3 as y*u**2 + n*u**3 + i*u**4 + a*u + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from tttttttttttd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201 (base 3) to base 13.\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2873\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 150598211*a**2 + 2.\nAnswer: -150598211*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 610?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/9 (b) -0.04 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14171855?\nAnswer: 5, 41, 73, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26839852 to the power of 1\/2, to the nearest integer?\nAnswer: 5181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 661219?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqu when three letters picked without replacement from {q: 2, u: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2335*q - 3588*q - 1681*q - 2499*q as i + l*q and give l.\nAnswer: -5433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287\/(-82)*5*44\/210.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z. Let m(y) = -y**3 - y**2 + 9*y - 4. Let f be m(-4). Let u(s) = -f*s + 20 - 13 - 7. Give j(u(l)).\nAnswer: -88*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605765142 minus -0.05?\nAnswer: 605765142.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71310133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 10*d**2 + 4*d - 13. Let r be -1*1*(8 - 1)*-1. What are the prime factors of i(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6329.085 + -6343. Let p = -14 - x. Let r = p - -0.085037. What is r rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/4)\/(-3) - -2. Calculate the highest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2993*q + 669*q = 25564 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/67 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 967810 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 49. Solve 0 = -2*p + 10, 5*p + 0 - i = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z = 0. What is the closest to z in -2\/3, 1, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (8 - 25 - -26).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 1\/15*y**4 - 1\/15*y**3 + 3*y - 2*y**2 + 13. Suppose p(a) = 0. Calculate a.\nAnswer: -2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awmy when four letters picked without replacement from {y: 3, c: 2, a: 4, m: 4, w: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506 - 505. What is the nearest to w in 5, 3, -18\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0 + 0*b**2 + 3*b + 2*b**2 + 1 - b**2. Let q be h(-4). Solve 10 = -2*z, 5*z + 7 - 2 = -q*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, -3 in descending order.\nAnswer: 4, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*j - 6 = -24, 5*j - 2 = -2*b. Let t be (b\/10)\/(3\/2). Solve 2\/5*l - t*l**2 + 0 = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00124485419 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**8*l*l)\/l)\/l)\/l**(-3\/10)*(l*l\/(l\/l**(1\/3))*l)**(-16) assuming l is positive.\nAnswer: l**(-871\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) 14.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 + 13947738*w - 41843187 = 0. What is w?\nAnswer: 3, 4649243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502944 is divided by 8819.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280.736, 5\/4, 61 in decreasing order.\nAnswer: 61, 5\/4, -280.736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(0 + -2 + 3). Suppose 4*w + u = -32. Let y be 24*((-14)\/w + -1). Calculate the highest common divisor of 144 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 35, -3.7, -4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -19*x - 2. Suppose 5*z + 3*d - 57 = 0, -20 = -4*d - d. Let y be (-36)\/z + 2\/1. What is the remainder when 106 is divided by o(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*w**2 + 15*w + 5*w**3 - 2*w**3 - 90*w**2 = 0. What is w?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**(-1\/4))))**(1\/5)*((f\/((((f*f**(1\/4))\/f)\/f)\/f))\/f)\/(f**(-1\/6)\/f) assuming f is positive.\nAnswer: f**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 295235558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7336 and 43\/12824.\nAnswer: 1679944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -361 + 659. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.8 + -13. What is the closest to -2\/7 in 1, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -297, -238, -75, 246, 779?\n\"Answer: 9*o**3 - 2*o**2 + 2*o - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**4\/11 + 102*n**3\/11 - 222*n**2\/11 + 114*n\/11.\nAnswer: 6*n*(n - 1)**2*(n + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 + 344580*d + 29683844100 = 0.\nAnswer: -172290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 56*y**2 - 5*y + 11. Suppose -22*h + 79 = 13. List the prime factors of c(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2*y - 50*g*y - 68*y - 2 wrt g?\nAnswer: 6*g*y - 50*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5476 by 5.\nAnswer: 5476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1517984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 3*u + 9 = 0, -2*r = -4*u + 4. Suppose n + 46 = 5*n - m, -n = -2*m - r. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8280 - 8223. Let r = 29 + -30. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 450595863 + -5?\nAnswer: 450595858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 324 - 314. Let w = 4 - -16. Calculate the remainder when ((-100)\/(-8) + -6)*h*3 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20930121 and 0.25027.\nAnswer: 20930121.25027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/(h**(-5)\/h))\/(h\/h**(-1))**(14\/9)*(h\/(h**(1\/6)*h)*h*h**(1\/4))**(-12) assuming h is positive.\nAnswer: h**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 20 - 21 = 5*n, -h = 2*n + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 74433075.21?\nAnswer: 74433074.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94883872 is divided by 1092?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -261, -11\/2, -867?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + j - 34 = -4*j, -4*z = 2*j - 28. Let v = -1 + z. Suppose -b - 3*b - v*w + 26 = 0, -3*b + 5*w = -37. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -857, -1706, -2539, -3350, -4133, -4882, -5591, -6254?\nAnswer: -6865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1493 and 0.04.\nAnswer: -59.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 10. Suppose -3*j - 6 - 15 = 0. Let p be r(j). Suppose -2*w + 12 = 2*k + 2*w, -4*k = 2*w - 54. What is the greatest common factor of k and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -0.14824283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h - 80. Let r be 6\/4*h\/(-6). Is (212 - 3) + 0\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -26*y. Let g(a) = -a**2 + 6*a - 6. Let n be g(4). Let b(k) = 0*k**2 + 0*k**n + 5*k**2 - 4*k**2. Determine b(x(i)).\nAnswer: 676*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79050 divided by 51.\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 152280 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*h - 19 = 0, -3*j + 2*h + 14 + 3 = 0. Suppose 0*i = -j*i - 21. Let n(d) = 2*d**2 + 10*d + 3. List the prime factors of n(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -299 (c) 5\/4 (d) 96.52 (e) -4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -35*y**4 - 60*y**3 - 17*y**2 + 12*y - 2. Let k(o) = -595*o**4 - 1020*o**3 - 290*o**2 + 205*o - 35. Let t(v) = 35*g(v) - 2*k(v). Factor t(j).\nAnswer: -5*j*(j + 1)**2*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*t - 4*t. Suppose -4*r = t*f - 7 + 3, 5*r + 4 = -2*f. Let y be 6*(-120)\/(-4 - r). Round y to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1804500 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m - 285 = -6*m - 1995 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - (-28)\/20 - -1999*(-366)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 92712.7\nAnswer: -6489.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 143*y**2 - 134*y**2 - 141*y**2 + 527*y**2 - 109*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13815241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 - 2*i + 2*i)*(6*i + i - 9*i) + 6*i**5 - 6*i**5 + 4*i**5 - 21*i**5 + 7*i**2 - 7*i**2.\nAnswer: -11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38083 and -18.8.\nAnswer: -715960.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1. Let c(b) = b - 5. Let z(y) = -4*c(y) - 20*w(y). Let v(j) = 13*j - 1. Let s(d) = 4*v(d) + 14*z(d). Let k(m) = -m - 1. What is 2*k(h) - s(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 - 4.1. Let l = 27 - 28. Put -0.1, 4, i, l in ascending order.\nAnswer: l, -0.1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10269792321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 2, d: 1, e: 1, i: 2}. What is prob of picking 2 i and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -12*j - 12. Suppose 3*q + 4*s + 2 = 0, 0 = j*q - 2*q - 3*s - 8. Let c = 8 - 3. What is the second smallest value in -1\/5, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -1 + -1 + 8. Suppose 3*u = -3*s + 27, -2*u = -4*u - t*s + 15. Suppose v = 4 + u. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 237006 - -5?\nAnswer: 237012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459162?\nAnswer: 2, 1229581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + 0.1. Let f = 44.8 - 45. Let a = 0.2 - 0.2. What is the nearest to t in -2\/13, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 5322*m**2 + 0*m + 5462*m**2.\nAnswer: 140*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -1. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l - 1. Let r(v) be the first derivative of v**5\/5 + 2*v**3\/3 - v**2 - v + 5. Let q(o) = -r(o) - 2*z(o). Differentiate q(y) with respect to y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 22887748 - 22887748.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*b + 10, -18 = -3*b + 5*a + 3. Solve -b*f = -0 - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = 14. What is the nearest to h in -2\/9, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i**2 + 27*i**3 - 7 - 38*i**3 - i + 10*i**3. Suppose 9 = f - 4*d, 0*d = 4*f + 2*d - 36. List the prime factors of m(f).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 5, 1?\n\"Answer: -4*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*o - 49. Let f = -4 - -9. Let t(i) = 5*i - 1. Let c be t(1). Solve y = o*a + c + 3, -5*a = f*y + 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -2*d + 45. Let b = -61 - -3. Let m = d - b. What is the remainder when 62 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(-253))\/((-6)\/11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.17 - -0.17. Which is the biggest value? (a) 3 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.161 - -0.061. Let w = -2.1 - v. What is the closest to 1\/3 in -3\/4, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/288)\/(5502\/(-2358)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 31437*w**3 + 66490254*w**2 + 32302344576*w + 64338979680 = 0. What is w?\nAnswer: -932, -2, 12345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d - 3. Let l(c) be the first derivative of 9*c**2\/2 - 72*c - 1. Let s be l(8). Calculate m(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9*r + 230 = 0. Let h = 72 - r. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4 - 105857*p - 30633*p - 22 - 29 + 9805*p. Let f be q(-3). Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 3. Let i be z(-3). Suppose 3*q - f = -2*q - i, 0 = 2*q - 3*f - 7. Sort -3, q, 5.\nAnswer: q, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 33 = 12. Solve -g - r + 20 = 3*r, -r - 16 = -b*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 59 + 148 = -4*c, 5*c + 89 = s. What is the remainder when 101 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9691 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -860 (c) 0.5 (d) 0.1375\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747859 to the power of 1\/2, to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 57, 100, 163, 252?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1948*j**2 + j. Let k(d) = -324*d + 2. Determine k(b(z)).\nAnswer: -631152*z**2 - 324*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3641 - -273076\/75. Let h(o) be the second derivative of 13*o + v*o**6 - 2\/45*o**4 + 0*o**3 + 0 + 0*o**5 - 1\/315*o**7 + 0*o**2. Factor h(n).\nAnswer: -2*n**2*(n - 2)**2*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 + -6 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4353568, -8707156, -13060744?\nAnswer: -17414332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525364 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*-2*sqrt(45)*4)\/(((sqrt(108)*-1 + sqrt(108) - sqrt(108) - sqrt(108))*-6 - sqrt(108) - sqrt(108))\/sqrt(12)).\nAnswer: -16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0. Suppose -1 = -917*p + 916*p. What is the second biggest value in 3, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56973 - 336 - g + 92085 - 8485.\nAnswer: -g + 140237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3299080*x + 80015. Let v(g) = -1237*g + 30. Let n(h) = 6*i(h) - 16003*v(h). Let t(l) = -l. Give t(n(m)).\nAnswer: -1231*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -10\/91597 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h + h + 6*h - 30*h**2 as w + n*h**2 + a*h and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.85 to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/3 - b**2\/2 + 2*b. Let z(r) = r. Let m(t) = -t - 4. Let n be m(-8). Let k = n - 1. Determine k*z(c) - 2*l(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 186778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3*l + 367*l**3.\nAnswer: 367*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391748 is divided by 1917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -201?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2298\/(-8) + 57\/(-76). Let w = -188 - o. What is the highest common factor of 75 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.5 (c) -6\/67 (d) 2 (e) 15\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6990 divided by 2.\nAnswer: 3495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -83*o + 101*o - 18*o + 2*o**2. Let s(k) = -6*k + 0 + 0. Calculate s(x(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:46 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - l = -6, 3*l = -5*x - 5 + 3. Suppose 2*a - 82 = -2*r - x*r, a + 54 = 3*r. What is the highest common factor of r and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5113 (base 6) in base 7?\nAnswer: -3165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*r = -0*c - 2*r + 14, 9*c - 7125 = -12*r - 7032 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 292*l + 1169. Calculate q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1286462, -2572972, -3859482, -5145992, -6432502, -7719012?\n\"Answer: -1286510*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 11 + 6*d**2 + 8 + 4*d**2 as k*d + f*d**2 + w and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3945382 kilometers to millimeters.\nAnswer: 394538.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 1. Let i be d(-1). Calculate the remainder when (i + 6)*54\/6 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705214293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2204.4 + -2199. What is the third biggest value in -5\/4, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23683, 23682, 23681, 23680?\n\"Answer: -c + 23684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1223, 5013, 11367, 20285, 31767?\n\"Answer: 1282*m**2 - 56*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -4\/11, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, -4\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in -0.05, 0.3, 0.9, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76316 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*j - 46 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3411 divided by 1\nAnswer: 3411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*l**2 + 11*l**3 + 310*l**2.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1118503?\nAnswer: 4474012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -43*u. What is m(-2)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605922, -1211840, -1817756, -2423670, -3029582, -3635492?\nAnswer: -4241400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 + 13*h - 2. Let c = -34049 - -34045. Calculate v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2308886266 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.159 and 1?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-55) - (-3)\/35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5659390.\nAnswer: 2, 5, 11, 51449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -424.9 - -425. Which is the closest to f? (a) -2\/11 (b) 4\/5 (c) 2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/11 - 13*n**2\/11 + 64*n\/11 - 68\/11 = 0. What is n?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-28))\/(11\/44).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.4, 0.31, -2\/107, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229273.\nAnswer: 3, 247697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 6. Let z be b(-7). Suppose 16 = 4*a - 0*a. Suppose 124 = 4*s - 5*m, a*s + 124 = z*s - 3*m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 2416427*f - 118407324 = 0 for f.\nAnswer: -49, 2416476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-10)\/((-10)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6795 + 6799.6. Which is the smallest value? (a) z (b) -2\/7 (c) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/6)\/(h\/(h*h**13*h)) assuming h is positive.\nAnswer: h**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 2843 (b) -0.8 (c) -1\/5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x = -35 - 29 + 259 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -15*n**3 + 5*n**2 + 3*n + 2. Let l be c(-2). Suppose p + 84 = 5*v, 4*p = -0*p + 4. Calculate the highest common factor of v and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -6. Let m = -2 - n. Suppose -3*b - 3*g = 50 - 149, -m = -g. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4655979, 9312060, 13968141?\n\"Answer: 4656081*t - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53678 is divided by 844?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 90*g + 26. Determine o(-2).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j - 13*j = 66885. Is -4458 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 981 - 987.63. What is f rounded to one decimal place?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 + 4522 = -158*x - 6221 for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*c - 35*c - 1216 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0 + x - 2*x - 21*x - 17. Let p(l) = -89*l - 68. Let h(w) = -9*n(w) + 2*p(w). Differentiate h(o) wrt o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-2 - 14) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -22. Sort u, -2, 0, -6.\nAnswer: -6, -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4823 + -4823. Sort -1, -3, u, 2, -9 in descending order.\nAnswer: 2, u, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)\/(v*v**(2\/25))*v\/(v*v**(2\/17))*((v*v**(-3)\/v*v)\/v)\/v*(v**(-2)*v\/(v\/(v**(-6)\/v)))\/((v*v**(2\/13)*v)\/(v*v\/v**(-7))) assuming v is positive.\nAnswer: v**(-79292\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l - 51. Let h be q(0). Let u = h + 69. Calculate the remainder when 51 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74043, 74009, 73975?\nAnswer: 73941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1533, 14339, 49681, 118827, 233045?\nAnswer: 403603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35\/5)\/(-35))\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 482\/(-120) + 5 + (-232)\/48 and -5\/648?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m + 0*m**2 + 0 + 2\/3*m**3 + 1\/4*m**4. Let p(j) = -j. Let c be (30\/10)\/((-3)\/4). Determine c*p(a) - n(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6047560.\nAnswer: 2, 5, 151189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/120 + t**5\/6 - t**4\/12 - 5*t**3\/2 - t**2. Let y be u(-10). Suppose -y*l + 17 + 3 = 0. Solve 0 = -3*r + 2 + l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/844 and 11\/1899.\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -537722.\nAnswer: -268861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -12*w + 12. Let y(q) = q - 1. Let s(i) = 2*n(i) + 28*y(i). Let a be s(1). Solve a = -4*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 3*h - 13. Let w = 17 + -14. Let i(l) = -3 - l - 2 - l**2 + 1. Let k(b) = w*r(b) - 8*i(b). Determine k(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 47.148998 from 2.\nAnswer: -45.148998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 151*r**4\/2 - 194*r**3 - 1145*r**2\/2 - 368*r - 70 = 0 for r.\nAnswer: -1, -1\/2, -2\/5, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 + 13)\/(1\/9). Suppose -j*c + 55 = -4*c. Suppose 4*u - 29 = -3*h, u + c = 5*u - 3*h. Solve u*a + 0*a = p - 21, 0 = -5*p + 5*a + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -947.7 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -31*u**4 - 31*u**3\/3 - u**2\/2 - 61. Find the third derivative of j(g) wrt g.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2574?\nAnswer: -1\/858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8820944 by 88.\nAnswer: 100238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**4 - 3*o**3 + 3*o**3)*(-o + 0*o + 2*o) - 3 + 3 - o**5 + (2*o**5 + 2*o**2 - 2*o**2)*(-4 + 3 + 3) + 4*o**5 + 0*o**5 - 3*o**5.\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 16*v - 8*v + 11*v + 39 + 21 = 0, -11 = -5*o + 2*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*x - 49*x + 5*i + 23, 4*x + i + 37 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 109955844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 26*q - 2*q - 85 - 7*q - 10*q.\nAnswer: -2*q - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-18) + 22080\/12420?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4160.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 != 2453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 289993947811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uutu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 d when four letters picked without replacement from {d: 9, m: 1, t: 2, i: 1, y: 6}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 14. Determine o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*x - 251*x - 208*x + 0 + 130*x - 4 in the form p + t*x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*30\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 295715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -13*w**4\/24 - 2*w**3\/3 - 2*w**2 + 1085*w. Let l(j) = 1. What is 5*l(f) + y(f)?\nAnswer: -13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**4*y + 10*d**4 - 2776363*d**3*y - 115*d**2*y - 115*d**2 + 5*d*y + 4*d - 4*y - 4 wrt d?\nAnswer: 216*d*y + 240*d - 16658178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2)*(5*w - 2*w - 9*w)*(w**2 + 2*w**2 - 2*w**2) in the form j*w**2 + z + s*w**3 + a*w and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4794?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 2, i: 7}. Give prob of picking 2 m and 2 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 2*d. What is the second derivative of -a**4 + d*a**4 + 2*a + 0*a wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62050 = 5*m - 62115 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99947044.\nAnswer: 2, 24986761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**5 + 27*f - 8*f**5 + 14*f**5 - 3*f**5 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*h**3 + 73 + h**2 - 139 + 66 in the form l*h + a*h**3 + t + b*h**2 and give a.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -711.413 rounded to the nearest integer?\nAnswer: -711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y - 15. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2\/3 (c) -5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let h(a) be the first derivative of -a**4\/24 + a**2\/2 - 2. Let j(v) be the second derivative of h(v). What is b(j(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*v + 23 = 11, -12 = -3*i - 5*v. Let n be -3 - (-1 + 0) - -2. Solve n = -7*c + 4*c + i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 699 + -771. Let c = -50 - k. Let l = -8 + 28. What is the least common multiple of c and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535986 divided by -9.\nAnswer: -59554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6999 + 6416 = -1004*r - 23543 - 4148 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 127354.92389 and 4.\nAnswer: 127358.92389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-50))\/(5\/(-25)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 15 - 11. Sort 4, m, -1 in ascending order.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 + 10. Let w be (-6)\/((-7)\/((-14)\/(-3))). Let f(i) = 2*i**2 + 9. Let u(n) = w*f(n) - 3*v(n). Differentiate u(y) with respect to y.\nAnswer: -9*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 + z**2 + z - 1. Let l be o(1). Let r be 12\/4*l\/(-6). Find the second derivative of 4*k**2 - k + r*k - k - k wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2205 and 72863?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 133, 4, 91, 2899 in decreasing order.\nAnswer: 2899, 133, 91, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-340)\/(-1275))\/(2\/605) - 8\/(-6). Which is greater: 1579\/19 or f?\nAnswer: 1579\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 68?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9684 - -9768. Let r = -5 + 10. Suppose 0 = -4*q - 0*a - r*a + 229, -a - 223 = -4*q. Calculate the highest common divisor of b and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -360, -368, -378, -390, -404?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**3 - 10*k**3 - 2*k**3 + 16*k**3 + 19*k - 1903*k**6 - 113*k**2 + 41*k**2 wrt k?\nAnswer: -228360*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, e: 3, b: 1, k: 8, m: 1}. Give prob of picking 1 r and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11037*(2\/15 - 4*(-8)\/160)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/13 (b) -197 (c) -2109 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q. Let m(j) = -4*j + 6*j - 4*j. Calculate m(l(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23503577, 23503571, 23503553, 23503517, 23503457, 23503367, 23503241?\n\"Answer: -t**3 + t + 23503577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -919 - -948. Solve -1 = u + 3*o + 17, -p = 3*u + 4*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294125941?\nAnswer: 294125941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27910 and 569364?\nAnswer: 2846820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 21*y - 465. Let q = 141 + y. Let w = 19 + -7. Calculate the highest common factor of w and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*y + 384*y - 18 = -5*j, 2*j - 21 = 5*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22814 = -25*b + 24136. List the prime factors of b.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38743, -77558, -116371, -155182, -193991, -232798, -271603?\nAnswer: -310406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6410 and -0.2?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3694 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-6\/7))**4)**44)**(4\/19))**(-18) assuming u is positive.\nAnswer: u**(76032\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 21 = -f + 2*f, 2*m = 5*f - 170. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*v = -4, 2*n = -5*v - 3 - 10. Let a = 6 - n. Solve a = -w - 2 - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/5 (c) -67412 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.67 + 0.97. Let p = -43.7 - n. Let t = p + 35.8. Which is the second smallest value? (a) 18 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v + 3. Let k(o) = -9*o**4 + 105*o**3 - 288*o**2 - 105*o - 3. Let u(t) = 1 + t - 2 + 0*t. Let y(g) = v*u(g) + k(g). Factor y(z).\nAnswer: -3*z*(z - 6)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 0.4 (b) -0.3 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i + 54. Let h be l(-18). Let k = 22 - h. Suppose 246 = 10*a - 4*a. What is the highest common divisor of k and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 58*n - 70*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1331263 micrometers?\nAnswer: 0.00001331263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = 3*z - 14, -2*p + z = 0. Suppose 3201 = -p*j - w, -j - 3*w = -5*w + 1598. What is j rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.1064.\nAnswer: 0.003192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14. Let x(c) = c**3 - 9*c**2 + 10*c - 7. Let d be x(8). Solve 4*r + d = -p, 0 = w*p + p + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -92. Let j = -2.1 - -30.1. Which is the third biggest value? (a) j (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8817159*y**2 + 676*y - 43?\nAnswer: -17634318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 13*p + 5*p = -4, 10*p = -153*x + 155*x - 58 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/13 (b) -5 (c) -60 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 16*h**2 + 18*h + 32. Suppose 52*n = -933 + 49. What is z(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810904?\nAnswer: 2, 3, 173, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j - 1. Let f = -0.528 - -0.328. What is the second biggest value in -0.12, j, f, -1\/2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 144500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12\/7 (b) 4\/3 (c) -0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 27*b**2 + 5*b + 20. Let l be (-4)\/(-14) + (-3553)\/(-133). What is the tens digit of j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-60))\/((-45)\/36)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 20. Sort 0, t, 5.\nAnswer: 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**3\/2 + 2*o. Let r(m) be the second derivative of 13*m**3\/6 - 3*m + 3. Give u(r(x)).\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58891?\nAnswer: 7, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 837.55 to the nearest 10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 37 + 44*z**3 - z + z - z**3 - 2*z + 2*z - 2*z**3 + (-6*z**2 + 3*z**2 + 4*z**2)*(-3*z - z + 3*z) as b*z**2 + p + c*z + y*z**3 and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 331 - 358 - (15 - -3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 5. Suppose 4*f - t = 260. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -745301 * 0.2\nAnswer: -149060.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 - 288409*u\/4 = 0. Calculate u.\nAnswer: -288409, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(432) - (4 + 0 + sqrt(432) + sqrt(432))**2 - ((sqrt(432)*1)**2 + 2) - ((sqrt(432) + 1 + -2)**2 + 0)).\nAnswer: -2613 - 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from {w: 5, g: 1, v: 4, a: 10}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5) + (sqrt(1620) - sqrt(45))**2 - sqrt(180)*2) + 0)*-1*-3 + 1.\nAnswer: -66*sqrt(5) + 6751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -195*h**3 - 219*h**2\/2 + 6*h - 56. Suppose u(z) = 0. Calculate z.\nAnswer: -2\/5, 1\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {k: 4, j: 1, z: 1, w: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15234\/533 or 0?\nAnswer: 15234\/533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1063732.9 to the nearest 100.\nAnswer: 1063700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 0, 0.02, 195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*s = -2, -14*f - 3*s = -17*f + 12 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 146*q**2 + 7270*q + 329. What is b(34)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(4\/4))\/(24\/(-24))*7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 3, r: 1, v: 13}. Give prob of sequence vvq.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 0.18.\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*u + 3*u = -560, -5*g + 555 = -4*u. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:12 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 3894 = 4561 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22184.176 + -13\nAnswer: -22197.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974 - i**3 + 974.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58447*w - 8050 = -58489*w + 117051*w for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 0 - 7*n + 13 + 5*n as i + p*n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -67.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 3*l - 3*j + 14, -2*j = 0. What is the highest common factor of 78 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.949 - -0.051. Let t be 0 + ((-1)\/(-3) - 4\/4). Which is the closest to 2? (a) l (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m**3 - m**2 - m - 1. Calculate the remainder when 47 is divided by b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40133827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 656 and 198.\nAnswer: 64944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -955916*t + 1008122.\nAnswer: -955916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21210 divided by 10\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**3 + 23*y**2 + 4. Let l(s) = -7*s**3 - 12*s**2 - 2. Let i(p) = -11*l(p) - 6*w(p). Let o be ((-1)\/(-2))\/(2\/(-24)). Determine i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 234.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27500074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74116\/2921 or -24?\nAnswer: -74116\/2921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15592320 and 852705?\nAnswer: 109146240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/4 + 19*p**3\/2 - 78*p. Let v(n) = 0. Calculate n.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825318 is divided by 103164.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1369 (b) 1\/2 (c) 2\/5 (d) 0.2 (e) -2\/7 (f) -0.561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 679.\nAnswer: -3\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15938, 15156, 14374, 13592, 12810?\nAnswer: 12028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = -3*j, -5*j + 2*r + 7 = r. Let h(z) = 4 - j - 4 - z. Let n be (26 + 4686\/(-165))\/(3\/5). Give h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - 2 - (-2664 - -2670).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u + 3*d - 729265 = 0, -u - 729270 = -4*d. Let w = -2023098 + 1352348. Let q = u + w. What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6\/53 (b) -10 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - k + 4 + 1, -5*k - 5 = -5*p. Solve -5*t - 3*c - 5 = 0, p*t + 2 = t + 5*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/48985 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629406 is divided by 11791?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6 = -2*y, 9 - 7 = -a. Put 39, 5, y, 3 in decreasing order.\nAnswer: 39, 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*m + 564, -3*g + 32*m + 578 = 36*m. Let r = 39 + -7. What is the remainder when g is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 16*j - 36 + 19 to a + s*j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 62. Let n = -34 - a. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 723 and 489.\nAnswer: 117849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 4. Let i(g) be the second derivative of g**3\/2 + 4*g**2 + 8*g - 1. What is -2*i(k) - 5*t(k)?\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/11690 and 119\/18?\nAnswer: 105210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 33*n + 25. Let t be g(17). Solve -b - 3 = -t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116656813021\/335346 - 347870. Let u = l - 8049649\/451040370. Let p = u + 117399\/21520. Find the common denominator of p and -27\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -284*a + 5373. Give m(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -7, -2.\nAnswer: -7, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*u)*(-2*u + 37*u + 20*u) - 2 + 2*u**2 + 2 + (2*u**2 - 3*u**2 + 2*u**2)*(-1 + 2 - 2).\nAnswer: -164*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u + 4. Let n(a) = a**3 - 9*a**2 + 9*a - 9. Let f be n(8). Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 571\/714 + -8\/51. Let z = 15\/7 - q. Factor 3\/4*g + 3\/4 - z*g**2.\nAnswer: -3*(g - 1)*(2*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 244788151.\nAnswer: -3\/244788151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (24 - 0) - (-176 - -221)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d + 3*f + 141 = 0, 2*d = -5*f + 94. Suppose 0 = -4*b + 45 + d. Suppose 2*p = 5 + 81. What is the remainder when p is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -13. What is the remainder when l is divided by (-88)\/(-14) + 2\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**3 - 205*g**2 - 30*g - 202. Give y(16).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1152863\/7 smaller than -164696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, -7, 3 in descending order.\nAnswer: 17, 5, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 730*c**3*y**2 - 1221*c**2*y**2 wrt c.\nAnswer: 4380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*h - 517 - 1903 - 70 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - 6*j)*(-10 - 4732*j - 2988*j - 8772*j + 10)*(0 - 5 + 6).\nAnswer: 49476*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1351908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*w - 132*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (40 - 75) - (-24 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (6 + -3)) + 4 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 41*j - 601. Calculate the remainder when y(18) is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -585*f**3 + 4*f**2 - 4*f + 97. Let n(p) = -588*p**3 + 5*p**2 - 5*p + 97. Let m(a) = -4*n(a) + 5*x(a). Differentiate m(i) with respect to i.\nAnswer: -1719*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 + -21.0942654912.\nAnswer: -23.3942654912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -7*n**3\/3 + 23*n**2\/2 - 6*n - 219. Solve h(r) = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:19 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**3 - p**2. Let n be b(1). Let c be 18\/(-4) + n + (-2 - 3). Let z = 0.1 - -0.9. Is z < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3 = 351*g - 348*g, -5*g = 4*m + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let y = v - -2. Suppose 2*z - z + 1 = 0. Is y < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256679 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -450 by -5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1072874\/5 - 214574. Factor 1\/5*l**3 - 4\/5*l**2 + k - 1\/5*l.\nAnswer: (l - 4)*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.75 and -0.083?\nAnswer: 0.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.853 - 6.763. Put -24\/5, 4, w in descending order.\nAnswer: 4, w, -24\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/5, -3, 10, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 620 and 47485428.\nAnswer: 237427140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0*t**2 + 0*t**3 - 1\/12*t**4 + 0 - 20*t. Let l(x) = -3*x. Calculate l(s(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231814439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125647 - 964 = -6934*t + 289429 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742976?\nAnswer: 2, 13, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 527099359 to the power of 1\/2, to the nearest integer?\nAnswer: 22959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6981?\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -8*v**5\/19 + 171122*v**4\/19 + 4753532*v**3\/19 + 27076282*v**2\/19 - 84173640*v\/19 + 19276200\/19 = 0.\nAnswer: -15, 1\/4, 2, 21418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21*o**3 + 18*o**2 - 18*o. Let a(b) = -4*b**2 + b**3 - 43*b + 3*b**2 + 44*b. Give -18*a(l) - d(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1703 + 1785.3. Let m = s + -81.737. Round m to two dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/5 + 599*o**2\/5 + 17474*o - 109200 = 0.\nAnswer: -325, -280, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 758, -5, 13, 5.\nAnswer: -5, 5, 13, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v + 30. What is the units digit of o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(242) - (sqrt(242)*2)**2).\nAnswer: -969 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.12 + 9. Let t = i - 0.18. What is the biggest value in -0.1, t, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let v(x) = -10*x**2 + 12*x**2 + 24*x + 2*x**2 - 24. What is -24*l(w) + v(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 11 (c) -219 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + 3. Let i = 20 - 17.9. Let v = i + h. What is the closest to 0.1 in v, 4, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 6*s - 4*s**2 - 4*s**2 + 6 + 4*s**2. Suppose 2 = 2*w - 0. Let u(r) = -5*r**3 - r**2 + 2*r - 1. Let b be u(w). Determine g(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7491 and 10065.\nAnswer: 2284755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-1)\/(25\/85))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 385 and 275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023363502 to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 103?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(500)*5 + (sqrt(20) + 6*((sqrt(20) - (1 + sqrt(20))) + sqrt(20)) - sqrt(60)\/sqrt(12)))**2.\nAnswer: 1644*sqrt(5) + 93881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 29.6 (c) 1\/431 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 463.7886 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = r + 18. Suppose 5 = 3*n - 139. Suppose -18 = 5*s - n. Calculate the highest common factor of r and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 9*x**2 - 2*x + 23. Let r be l(9). Suppose 0 = -6*k + 2*k - r*c + 34, 2*k - 20 = -4*c. Solve 0 = -3*y + 3 + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.003 and 65038.1?\nAnswer: 195.1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257.50359 months to years.\nAnswer: 21.4586325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -154.2, -2\/15, 1\/3, -1\/8, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -5\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -7. Factor 6*g**3 - 1\/4*g**2 - n*g**4 - 3\/2*g - 1\/4.\nAnswer: -(g - 1)**2*(4*g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let f(j) be the second derivative of -10*j**3\/3 + 194*j. Calculate m(f(x)).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9629 + -4410. List the prime factors of d.\nAnswer: 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 12.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*b + 18*b - 144. Let g = -3069 - -5200. Find k such that -2*k**b + 2131 - g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115161884 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 211185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4\/9, -41\/6, -2\/15, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4\/5, 18 in ascending order.\nAnswer: -10, -4\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126898*c**2*m**2 + 6*c*m**2 - 459208*c*m wrt c.\nAnswer: 253796*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30410 (base 5) to base 3\nAnswer: -2201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3386 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**4\/12 + f**3\/6 - 4*f. Let v(w) = 4*w**3 + w**2 + w + 3. Let k(q) = v(q) - z(q). Differentiate k(d) with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3135 and 5.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1397953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9037 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 g, and 1 w when four letters picked without replacement from wkkggkgqqkqqgkq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n*n**(1\/5)\/n)\/(n**1\/n)**(-32) assuming n is positive.\nAnswer: n**(-53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*v - 1618 = -4*v, 3*v = 3. Suppose 10*c - z = 7*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 73. Suppose -4*v + y = 5. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*v**3 + 49 - 17*v**3 - 2*v**2 - 8*v**2 - 18*v**2 with respect to v.\nAnswer: -3*v**2 - 56*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.21549 months in millennia?\nAnswer: 0.0150179575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + q + 40 = 0, 4*r - 4*q + 25 - 73 = 0. Suppose -u - 1 = -h - 0*h, 0 = h - 3*u - r. Sort 3, 1, h in ascending order.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5)*-5 + (2*sqrt(30))\/sqrt(6) - (sqrt(35)\/(sqrt(7)*-1) + 2))**2 + 1.\nAnswer: 8*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 502 by 1090.\nAnswer: 251\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5450330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*u + 2695, 5*l + 4*u + u - 3395 = 0. Let x be 10\/(-4) - l\/(-208). Is x <= 227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2406000 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -30*c**2 - 31*c - 5. Let i(o) = 6*o**2 + 6*o + 1. Let r(z) = 11*i(z) + 2*q(z). Let n(j) = 2*j**2 + j. What is 7*n(m) - 2*r(m)?\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 1. Let o be c(-5). Suppose 0 = -4*j - o*b + 96, 1 = 3*b - 5. Solve j = -5*f - 2*z - 5, -16 = 4*f - 4*z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.111 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbabbbbbbbbb. What is prob of picking 3 b and 1 a?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1424463644 + -6?\nAnswer: 1424463635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 750681759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -43. Suppose 4*g = -4*n + 3*n + 26, 30 = n + 5*g. Let j = n - 8. What is the closest to -1 in j, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 37 - 882*b + 12 as k + r*b and give r.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29cab9 (base 14) to base 2\nAnswer: -101100011100100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(343)*-1*5.\nAnswer: 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14 + 2*k + k - 2*k. Let w = -22 - -22. Let i be z(w). Which is smaller: i or 15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3197 and 6647?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 42?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + -13. Let z = 28 + r. Let g = 26 + z. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-2*2\/8). Let b = w + -30. Solve -3 - 5 = -b*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9798634.\nAnswer: 2, 4899317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/16 - (2 + 3\/(-2)). Suppose -c - 2 + m = 0, 4*c + 385 = 3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**6 + 3216*x**5 + 6307*x**2 wrt x.\nAnswer: -1200*x**3 + 192960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 2*r**2 - 10*r + 1. Let o be i(-5). Suppose -242*x = -o*x + 295200. Round x to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5089*c**4 - 2543*c**4 - 2544*c**4 - 283*c**3 - 6*c + 3*c to m*c**4 + b*c + d*c**2 + p + h*c**3 and give h.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*v - 89*v + 84*v - 12*v + 39 to the form t + r*v and give r.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 2 + 3 - 201\/(-67). Let g(f) be the first derivative of a - 1\/14*f**4 + 1\/7*f**2 - 2\/21*f**3 + 2\/7*f. Solve g(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 40*s = -2*w + 174, s + 271 = 3*w. What are the prime factors of w?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 8*p + 1320, -d + 8*p - 5*p - 264 = 0. Sort 5, 0, d, -2 in decreasing order.\nAnswer: 5, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*c**5 + 29*c**5 + 31*c**5 + (18*c - 18*c - 9*c**4)*(-23 - 9*c + 23).\nAnswer: 90*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*k**3 + 267 with respect to k.\nAnswer: 807*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 68*s**2 - 2312*s - 78608\/3.\nAnswer: -2*(s + 34)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5\/4 + 3123*c**4\/4 - 203580*c**3 + 202800*c**2 = 0. What is c?\nAnswer: 0, 1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 28*w + 71358 = 3*z, -71346 = -3*z - w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2033 by 18.\nAnswer: -2033\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 9*u - 6. Let o be (18\/(-15))\/((-2)\/10). Suppose -q + 2*q + o = 0. What are the prime factors of j(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 34 = 4*k, -r = 5*k - 20. Solve 0*u = -3*u - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5688*m**2 - 4*m - 5*m + 17*m.\nAnswer: 5688*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -2, 2\/11, -2\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*f + 19 - 87, -3*f - o = 32. Which is the closest to f? (a) -1 (b) 0.2 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 47.58. Let h = -0.28 - x. What is the second biggest value in 6, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184, 40, -202, -542, -980, -1516?\n\"Answer: -49*d**2 + 3*d + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)\/v)**(-30)\/(v**5\/(v\/((v*v**(2\/3)\/v)\/v))) assuming v is positive.\nAnswer: v**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -113049.\nAnswer: -10\/37683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -8\/3*u - 470\/9*u**3 + 4 + 1936\/15*u**5 + 11\/12*u**4 + 58\/3*u**2 + 1331\/18*u**6. Factor g(r).\nAnswer: (r + 1)**2*(11*r - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from nrrrnnnnnnrnnnrrnn?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**4 + w**2 - w + 1. Let j(x) = -8*x**4 + 36*x - 5 + 8*x**3 - 9*x**2 - 33*x + x**2. Let f(s) = -15*a(s) - 3*j(s). Factor f(v).\nAnswer: 3*v*(v - 2)*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.645 - -352.355. Let x = b - 349.1. What is x rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68, 61, 172, 265, 340, 397?\n\"Answer: -9*k**2 + 156*k - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 1, j: 2, h: 1, r: 2}. What is prob of sequence rjph?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:55 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -l, -h + 3*l - 15 = 0. Suppose h = -d + 3*d - 6. What is the lowest common multiple of 10 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 - 244*a**2 + 3036*a + 21780 = 0. What is a?\nAnswer: -5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193760 is divided by 192591?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -45, -3\/7, 2, -73 in ascending order.\nAnswer: -73, -45, -39, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 139\/7 + ((-10)\/(-10))\/7. Solve 0 = p*b - 24*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5)*300\/(-108) + 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-7.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(539) - -5*sqrt(539)) + sqrt(539) - sqrt(539))*-1)*1.\nAnswer: -42*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Let v(i) = -i**3 - 4*i**2 + 4*i - 2. Let m be v(-5). Let o = m + 1. Put -1, o, c in decreasing order.\nAnswer: o, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 4. Suppose 20 + 70 = k*a. What is the remainder when 53 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*j - 2753875 - 749534 = 0. Is -12205 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + q - 4, 22 = n - 0*n - 5*q. Solve 8 = -n*z + j, 3*j - 7 = 3*z + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/45 + 16\/234 + 0. Let i = 126 - -7. Let d = i - 669\/5. Sort -1\/9, -2\/7, w, d in increasing order.\nAnswer: d, -2\/7, w, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 + -17995746.\nAnswer: -17995880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*n**2 - 2*n - 14 - 459*n**2 + 2*n.\nAnswer: 81*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 83 times -519\nAnswer: -43077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2. Let r = -13 - -21. Let l(k) = 17*k**2 + 8 - r. Calculate l(d(m)).\nAnswer: 68*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 550*u.\nAnswer: -2*u*(u + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1887970 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/27)\/(7\/(441\/14)))\/((-20)\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -24. Suppose -w = -s - 4*s. Let z(l) = -l**3 + 3*l**2 + l - 1. Let j be z(2). Solve i + 13 = -j*n, s = 2*n - i - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 2*j - 219 - 194 + 374 = 0, -268 = -4*q - 11*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 102230132 (base 4) to base 11\nAnswer: 52593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*w + 9. Let u be w + (-3)\/6*-4. Is 2755\/35 - u\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + b - 59, -3*t + 0*b = 2*b - 41. Suppose 5*v = -t + 36, -4*g - v = -289. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1066289441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-92)\/(-2))\/(24\/492). Calculate the highest common factor of h and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 204 = a. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7450528442 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o. Let f(y) = y**3 - y + 39. Does 13 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 4. Let w = -28 + 25. Let n = -31 - -35. Let a(p) = p - 3. Give n*a(d) + w*c(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164117 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:12 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 226 = -2*s, 1191686*s - a + 52 = 1191689*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + 3*z**2 - 7*z - 38. Let q(p) = p**3 - p**2 + 3*p + 19. Let t(w) = 2*n(w) + 5*q(w). Let j be 4\/(-2) + (-4)\/(-2). Is t(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - x = -7, -5*x - 35 = -2*f - 0*x. Let t = 14 - f. Suppose -t*l = -2*l. Solve 0 = -i + b, 2*i + 24 + l = -4*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260.00000201 - -260. What is y rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -709160100 rounded to the nearest one million?\nAnswer: -709000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -1 - (-25 - -22)) + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/945*(-27)\/(-24)*4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-12 + 14 + -7 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -74, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74\/15 - 5. Let u = 21 - 256. Let k = u - -240. Is k >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 0*p**5 + 0*p**4 + 0*p + 0*p**3 - 6 + 0*p**2 - 1\/21*p**6. Solve d(w) = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -9.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143, 278, 417, 560?\n\"Answer: 2*r**2 + 129*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -14. Let o(c) = 30 + c - 2*c + 0*c. What is the remainder when o(s) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.45495955 to 2 decimal places.\nAnswer: -235.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 36*u**2 - u**3 + 3 - 28*u**2 - 18*u**2 - 8*u. Calculate n(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/10 + (-72)\/(-120) + 2. Let p be 24 - 22 - m*-1. Solve p = -6*x - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t - 7. Let u(i) = 3*i**2. Let w be u(-1). What is the first derivative of -2 + 1 - t*q**2 + w*q**2 wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*c + 21 = -21909*x + 21912*x, -4*c + 44 = 4*x for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6705*a*d**2*t*w**2 - a*d**2*t*w + 38*a*d**2*w + 58*a*d*t - a*d*w + 4*d*t*w + 13*t*w**2 wrt w.\nAnswer: 13410*a*d**2*t + 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -334 + 444. Let p be 4 + -8 - (0 - t\/25). What is the biggest value in -2\/19, -1\/2, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 284716*r + 4270737. What is g(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103933.\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2030401040 (base 5) to base 12\nAnswer: -148361a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + 73 + -69?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -22. Let n = 27 + v. Sort -1, n, 9 in ascending order.\nAnswer: n, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 31. Let m(h) = -h - 15. Give -6*k(s) + 13*m(s).\nAnswer: -s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*u - 10. Is (21\/(-6))\/u*(3785 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2\/3, -0.3, 5, 13\/5 in decreasing order.\nAnswer: 30, 5, 13\/5, 2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000010 - -10?\nAnswer: 10011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1060 and 851816.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 6 - 3)*(-3*p + 5*p + 0*p) + 3*p - 3*p + 3*p)*(0 + 0 - 2) - 5 - 19*p + 0 + 7 to z*p + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 5. Let m(d) = -19*d + 25. Let g(n) = -19*n + 23. Let o(r) = 5*g(r) - 4*m(r). Let q(w) = -4*o(w) + 11*u(w). Give q(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 20174620.\nAnswer: -3\/10087310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1109*o**2. Let w(u) = u + 7. Calculate l(w(r)).\nAnswer: 1109*r**2 + 15526*r + 54341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 100 = -5*w, -32*g = 4*w - 34*g + 78. Put 1, -6, w in increasing order.\nAnswer: w, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408, 2330, 5536, 10026, 15800, 22858?\nAnswer: 31200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + m**2 - 31*m**2 + 49*m**2 - 53*m**2 + (-2*m - 3*m + m)*(-2 + 2 + m).\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004949 + 334?\nAnswer: 333.995051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2273136 and 17963?\nAnswer: 25004496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -208.02571487 and -0.01234.\nAnswer: -208.03805487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 9. Let k(o) = -3*o - 73. Let h(s) = 2*s + 55. Let v(q) = -4*h(q) - 3*k(q). Calculate 6*v(a) + w(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:59 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*y - 6*y**2 + 3*y**2 + 2*y**4 + 3*y**2 to the form l*y**2 + p*y**4 + f*y**3 + k + j*y and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j - 3 + 4*j**4 - 5*j**2 + 0*j**2 + 8*j + 2 + 7*j**2 as s*j**3 + t*j**4 + h*j + w*j**2 + f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b - 1. Let f be s(2). Let c = f + -23. Suppose c = q + 4 - 43. What is the remainder when q is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -5 + (-12 - -19) + 4 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739893 is divided by 21139.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**2*p + 101*i**2 + 111*i - 4*p wrt i?\nAnswer: 12*p + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -21530244141?\nAnswer: 21530244144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**6\/6 - 3*w**2 - 3. Find the second derivative of l(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 230, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95123, 190249, 285365, 380471, 475567?\n\"Answer: -5*a**2 + 95141*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -33*w**2 - 52*w + 28*w + 9*w + 15*w. Let u(s) = s + 1. Let r(c) = -5*c - 4. Let g(q) = r(q) + 4*u(q). What is g(j(y))?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/10 + -3)\/(6\/(-30)). Let f be 36\/45*((-10)\/s - 0). Suppose -1\/2*j + 0*j**f - 1\/4 + 1\/2*j**3 + 1\/4*j**4 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (87\/2)\/(6\/8). Suppose 2*h + 16 = 4*k + p, 0 = 5*h - 4*k - 105. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.762913754 rounded to 1 dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10407 is divided by 349.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252068.339974 - 252068. Let n = k + -0.34. What is n rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 + 5*a**2 + a - 1. Suppose 0 = 3*d + 36. Let c(h) = -10*h**3 + 12*h**2 + 2*h - 2. Calculate d*l(u) + 5*c(u).\nAnswer: -2*u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75366)\/265*20\/(-6). Let k = s + 4571. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2432 + 4?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 - 239*m + 5350 = 0.\nAnswer: 25, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57309687 a multiple of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -1. Suppose -h - p*g + 285 = -7*g, 2*h - g = 615. What is the tens digit of (-9)\/6*h\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -2. Let k be 7\/3 - (5 - 2). Which is the closest to k? (a) -3 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22378 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1396*a - 4194*a + 1375*a + 1371*a.\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:24 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041118 rounded to the nearest one thousand?\nAnswer: 1041000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((-6)\/(-2) - 1). Let q = 61 + -55. Let h(f) = -3*f + 21. Let t be h(q). Solve u = t*c + 9 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 54. Suppose 46*f + 100 = 36*f. Let g be d(f). Solve a = -3*w + 13, 3*w + 0*w = g*a + 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18)*2)\/(20\/50).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 124679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22778 and 153734.\nAnswer: 250125218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33795 + 9361 = -15*y + 30946. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 5*m**2 - 6*m. Let b(p) = 2*p**3 - 4*p**2 - 5*p. Give -6*b(g) + 5*n(g).\nAnswer: -2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e837 + 3?\nAnswer: 5e83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 7*a + 8. Let u be f(8). Let y = u + 18. Let q be 0\/2 - (y\/(-10) - -3). Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from rdududddiudtddttu?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, q: 4, u: 3, g: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -158*s**3 - 333*s**2 - 157*s + 23. Let g(c) = 80*c**3 + 166*c**2 + 78*c - 10. Let l(q) = -5*g(q) - 2*y(q). Suppose l(f) = 0. What is f?\nAnswer: -1, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -519663*u - 6. Let w be l(-12). Let g = w - -2119601. Suppose -g - 4844449 = 2*z. What is z rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56580, -56694, -56908, -57222, -57636?\n\"Answer: -50*t**2 + 36*t - 56566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 7*a**4\/12 - a**3\/6 - 2*a - 3. Give z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/224 and -23\/168.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - 37\/1*4\/(-28). Is f >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-243)\/27)\/(((-448)\/144)\/28).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -21.27 (b) -115.6 (c) -2\/7 (d) 5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 17\/24*c**4 - 6*c**2 + 1\/60*c**5 + 7\/2*c**3 + 0*c + 0. Let a be k(-16). Solve -2*i - 20 = -a*f, -i - 6 = -3*f + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 74 + 23 = 3*v, 96 = 3*v + 3*p. Solve v = 4*s + 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1968 + 2058. Calculate the smallest common multiple of 27 and b.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 1279*v**2 + 47343*v + 221. Determine p(-36).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/4 - 2032*w**3\/3 - 6087*w**2\/2 - 1184. Find the second derivative of j(y) wrt y.\nAnswer: -6*y - 4064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -112?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12939967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53138*i**3\/3 + 4238*i**2 - 10912*i + 7688\/3 = 0 for i.\nAnswer: -1, 62\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**3 + 2*a + 2. Suppose 0 = -2*d + 6*j - 26, -20*j - 13 = 5*d - 22*j. What is n(d)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1423*q**2 + 4*q + 1. Let z be u(-3). Let f be (-9)\/15 - z\/(-10220). Let n = 68\/73 - f. What is the common denominator of n and -89\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -0.13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2819, -5633, -8447, -11261, -14075, -16889?\n\"Answer: -2814*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 57 - (3 - 39)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10080295.\nAnswer: 5, 2016059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 4*n + 6*n. Suppose 0 = 42*w - n*w - 20. Solve -w*s + 2 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-331)\/(-1324)*8\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36124 times -0.8?\nAnswer: -28899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58891506209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**3\/3 + 8*p**2 + 98*p + 335. Let q(v) = -19*v**3 - 2*v - 1. What is the smallest common multiple of w(20) and q(-1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -15*n + 124. Suppose -n + 26 = j. Let z = j - -21. Solve 2*q - 5*f + z = -2*q, -5*q - 20 = 4*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(26\/12)\/(-4*(-6)\/36).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6009 or -6016?\nAnswer: -6009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 30 - (81 + -116)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*b + 18, s - 2*b - 789345 = -789363 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - 156. What is the tens digit of 2\/(-8)*-1*(-43 - u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 12 (c) -3 (d) -10.3 (e) -0.2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -40555\nAnswer: -324440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 655188869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2 in decreasing order.\nAnswer: 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -26. Let q(z) be the second derivative of z**5\/5 + z**4\/12 - z**3\/6 - 2*z. What are the prime factors of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26465 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 41, -11.915 in decreasing order.\nAnswer: 41, -4, -11.915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-3)\/6*1*(-30)\/10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13891125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**6\/8 - 3*z**5\/20 - 3*z**4\/16 + z**3\/4 - 4. Factor y(b).\nAnswer: 3*b**2*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 5. What is the lowest common multiple of (-21 + 17)\/(1\/(-3)) and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722 divided by 15325?\nAnswer: -1722\/15325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/5 - 98*d**4\/5 - 3036*d**3 - 347652*d**2\/5 - 2920374*d\/5 - 8428698\/5 = 0.\nAnswer: -47, -9, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 2392*p - 4789. What is l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119890\/(-8834) - (1 + 1*-15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (3 - 4) - -1) + 222 + -172 - 3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 6. Let c be y(-7). Let q = -3 + c. Let o = -8 + q. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*c + 404131 = -1842776 - 656843. Calculate the greatest common factor of 115 and c.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100010 + -100?\nAnswer: -10011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 536*o**2 - 4467*o + 128316. Determine q(528).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -227\/4. Let j = 5 + -2. Solve i*q - 1\/4*q**5 + 1\/2*q**2 - 1\/2*q**4 + 0 + 0*q**j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.229 - 0.771. Which is the closest to 1\/7? (a) -2 (b) -1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -19\/5, 112?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (-6 + -40 + (1 - 0))*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -64\/3*q**3 - 33*q + 2 + 37*q**2. What is the first derivative of s(i) wrt i?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 7) to base 4.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let z = -1.02 - -0.32. Let v = z + 0.8. Let h = 2\/7 + -31\/84. Which is the biggest value? (a) h (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 * 109\nAnswer: 414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 1672 - 1704 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -245, -555, -951, -1427, -1977?\n\"Answer: f**3 - 52*f**2 - 69*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25200.5 + -25200. What is the nearest to 2\/11 in 17, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-40))\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 8*c + 2. Let x be s(-8). Let v be (-9)\/(-21)*x\/2. Let q = 400 - 1998\/5. What is the closest to q in v, 2\/21, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*x - 0*x + 253, 2*r + 5*x - 506 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.5 and -1802.189.\nAnswer: -6307.6615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*j - 1. Sort j, 1, 4, -23 in ascending order.\nAnswer: -23, j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*a + 2 + 8, 38*n - 61*n + 2*a - 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -5*d**3\/6 - 5*d**2\/2 + 2*d. Let g(l) = 3*l + 2. Let c(s) = -4*f(s) - 9*g(s). Let a(i) = -22*i + 6. Give 5*a(r) - 16*c(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - 125*b - 1192. Let v be f(39). Suppose 4*z - z - 5*q + 40 = 0, 10 = -3*z - q. Put z, v, -7 in ascending order.\nAnswer: -7, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*p - 390009, 2*p + f - 2*f - 259997 = 0. What is p rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1388 - -2711\/2. Find the common denominator of k and -31\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-5 + 2 - 28\/(-8)). Determine q so that 3\/5*q**2 - 3\/5*q**3 + g - 6\/5*q**4 + 0*q = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 2105*l**5\/4 - l**4\/12 + l**3\/6 + l**2 - 26*l. Let u be m(2). Round u to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110568.466625 + 9072?\nAnswer: 119640.466625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1589*q + 222770. Calculate f(-140).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 3*k**5 + 2*k**5 + (1 - 3*k**4 - 1)*(0*k - 3*k + k) + (-3*k + 4*k + 2*k)*(-207*k + k**4 + 207*k).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 181235.283.\nAnswer: 181237.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 89475.\nAnswer: -447375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30495 is divided by 3262.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(112) + 2) - (sqrt(112) + 0 + sqrt(112))*-5) + -5)**2.\nAnswer: 16576*sqrt(7) + 352601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 364*j + 27. Let z be (6 - 1) + 1 + 2. Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w + 19 = 3*s, 3*s = -3*w + 15. Let u = s + -19. Suppose -5*f + 0*f = -30. Let q(i) = 11*i. Let l(r) = 5*r. Determine f*q(n) + u*l(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(-17)\/(85\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 95.20005 weeks?\nAnswer: 666.40035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1) + 10 + -13. List the prime factors of (-9)\/a*(-128)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1040, 1027, 988, 911, 784, 595, 332, -17?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18792 divided by 6\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 - 2*l**3 + 5*l**3 + (5*l + 13*l + 11*l)*(-2*l**2 - 2*l**2 + 2*l**2) - 2 + 2 - l**3.\nAnswer: -61*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 43 = -j, 3*j + c - 88 = 41. Suppose 23*f = -j*f. Determine l so that 8\/9*l**5 + f + 4\/9*l - 32\/9*l**4 + 14\/3*l**3 - 22\/9*l**2 = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197749 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289.59 - 167.18. Round v to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 3*r, 0 = -x + 2*r + 6. Solve -4*s + 2 + x = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2730 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -34*t + 16464. Does 42 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:44 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 50. What is the nearest to -2 in -0.2, 5, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/900 - 43*v**5\/150 - 1849*v**4\/60 - 79507*v**3\/45 + 300*v**2. Find y such that n(y) = 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -447*o**3 + 32*o**2 - 6*o - 11. Is r(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.0717 * 1.5\nAnswer: -34.60755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 2.8. Which is the closest to -0.1? (a) y (b) -2 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 79*p**3 + 19*p**3 + 23*p**3 + 3*p**2 - 25*p**3 + 6 - 7 + p. What is i(-1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 9. Let p(m) = m**3 - 3*m**2 - m - 3. Let o be p(4). Let u be v(o). Suppose -j = -2 + 6, 4*j + u = 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: Let z(y) = 18895*y**2 + 4*y + 2. Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/1*12. Let p be ((-8)\/(-6))\/(2\/v). Calculate the greatest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 3192?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/10 + (-2)\/(-5). Let f = 7 - 13. Let a = 9 + f. Solve -a*o + b = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z - 600 = -59*z + 86*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11553 rounded to three dps?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -0.15. Let j = x + 1.94. What is the closest to 3 in j, 1\/3, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34608935441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -20) + (187 - 204) + -25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**9\/15120 + b**6\/180 + b**5\/60 - b**2. Let o(t) be the third derivative of g(t). Find the first derivative of o(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4 times -505132?\nAnswer: -4243108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -h + 113, 15*h - 17*h + 5*k + 181 = 0. What is the remainder when 312 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*o + 684 + 222 = 37 - 1615 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 28. Let g be d(-7). Solve 4*m + 4*q - 8 = g, 3*m - q = 2 - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-4)\/(-6))\/((-10)\/45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6236 to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -23 + 659. Suppose 41*o + 42 = -286. Calculate the remainder when 22 is divided by j\/(-12) - o\/(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1460)\/40)\/((-16)\/1440)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/119 and 3\/68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/7)\/n*n*n))**(11\/5)\/((n**(-2\/3)\/n*n)\/n*n**(-3\/8)) assuming n is positive.\nAnswer: n**(1187\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/5 + 534*v**2\/5 + 552*v - 57792\/5 = 0. What is v?\nAnswer: -172, -14, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 - 43 = 41*j + 369 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -208, -383, -556, -727, -896?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:01 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7231*k**4 - k**2 + 559?\nAnswer: 173544*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x + 5*a, a - 5*a - 4 = -3*x. Solve -x = -7*b + 11*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i**3 + 63*i + 3 + 24*i**3 - 164186*i**2 + 164188*i**2 to the form o*i**2 + u*i**3 + b + s*i and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237\/(-158)*4\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:34 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {o: 5, k: 5, p: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -47 + 36 + (-216)\/(-20). Put v, -2\/47, 3, 5 in decreasing order.\nAnswer: 5, 3, -2\/47, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -9*m + 140, 2*c - 2*m + 97 = 16 + 30 + 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/24 - 1) + (-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by -14?\nAnswer: 115\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 - 20*s + 5. Let b be t(2). Solve 0 = 7*o - 6*o - 3, b*n - o = 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124706926 by -62353463.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3230295 = 219*g - 371643 - 2110458. List the prime factors of g.\nAnswer: 2, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4 - 0. Let v be 2*(-2)\/n - -2. What is the units digit of (-7)\/(1 - (v - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 56*n - 22*n)*(38*n - 132 + 70 + 64).\nAnswer: -2698*n**2 - 142*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from fzwfwktzfzwkzfkwftz?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let d be m(3). Let j(k) = -k**2 - 8*k - 8. Let p be j(d). What is the derivative of p - 6*w**4 + 1 + 2*w**4 wrt w?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3 + 0 + (-37)\/(-13) + 13759440\/1560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 2*d - 1. Let s be m(-1). Suppose 3*l + s*i - 3 = 0, 3*i + 5 = -4. Suppose -3*t + 4 = -l. Solve -t*c = -4*p - p - 12, -4*c = -4*p - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:18 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**8\/560 + j**7\/140 + j**6\/120 - 65*j**3\/6 + 35*j. Let v(o) be the second derivative of l(o). Solve v(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 396 - t**2 - 788 + 396. Let c be d(-2). Solve 2*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49450242 to the nearest integer?\nAnswer: 7032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/605, 0, -2\/7 in decreasing order.\nAnswer: 1\/605, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -9, 0.4, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132507 is divided by 565.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418 and 579526790.\nAnswer: 6374794690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17420 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 5 + ((-10)\/(-8))\/((-30)\/(-120)).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31079176*k**3*q**3 - 2*k**3*q**2 + k**3*q + k**3 + 3*k**2*q**2 + k + 22488 wrt q?\nAnswer: 186475056*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*o = -8, 3*o - 6*o = 0. Which is the closest to -1? (a) z (b) -1 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1479393 * 0.5\nAnswer: -739696.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.325 and 835?\nAnswer: -271.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 1, -5\/4, 0.3, 1\/38, -18?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -199 + -24?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 29.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*p. Let v be (10\/p)\/(4\/(-2)). Suppose -d = h, 0 = d + v*h + 1 + 3. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 1:36 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21703030 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 5. Let s(m) = 3*m - 9. Calculate the least common multiple of s(w) and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, 6635335, 2\/11 in decreasing order.\nAnswer: 6635335, 2\/11, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Suppose 4 = w - z. Calculate the smallest common multiple of 38 and w + 8*1\/2.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.5, 5, 0.16, 3\/23 in decreasing order.\nAnswer: 24, 5, 0.5, 0.16, 3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g + 3. Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440240311 (base 5) in base 15?\nAnswer: -7958a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzr when three letters picked without replacement from rprzrnnaaazrnxx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007201 rounded to seven decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2 + 2)*(-183*s + 473634 - 473601 - 376*s) as v + n*s + f*s**2 and give f.\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-452)\/4)\/(-2*(-5)\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Suppose 0*r + 5*r = 20, -z*r - 2 = 2*h. What is the second smallest value in 6\/5, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*m**2 - 114*m**2 + 229*m**2 + 118 to the form p*m + d*m**2 + u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -49\nAnswer: -123\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1008 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003681536053 rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 38*q - 346. Let z be r(15). Calculate the greatest common factor of 434 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 - -2726?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t. Let c be r(4). Let a = c + 20. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1551.7 - -1552.7. Which is the third biggest value? (a) -0.4 (b) -0.2 (c) 1\/9 (d) y (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 41 - 34)*(31*t - 32*t**2 - t**2 - 31*t).\nAnswer: 2079*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-63) - (-58)\/18. Find the third derivative of 0*m**2 + 3*m**2 - 3*m**s + 0 + 0 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 11. Let j be z(10). Let m(u) be the first derivative of 2\/5*u**5 + u + 0*u**3 + 0*u**4 - j + 0*u**2. Differentiate m(n) wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20534685*r**3 + 79*r**2 + 53377*r?\nAnswer: 123208110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2110795283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/21759920 and -71\/170800.\nAnswer: 108799600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y - 41*y = -32. Sort -30, y, -4, 3 in decreasing order.\nAnswer: 3, y, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4757 (b) 0 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-84)*(888\/(-32) - 6).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*b**3 - 86*b**3 - 33*b**3 + 186 - 43*b**3 - 186.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8064*z**4 - 3*z**2 + 245*z - 1 wrt z.\nAnswer: 193536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11011110000010001?\nAnswer: -11011110000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 116370 divided by 2155?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -q - 123, 2*s + 2*q = 6 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362752 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 10800 - 2778 = 0. Let h be (-8)\/(-104)*b + 4\/(-26). Let a = h - -107. Solve w = -2 + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63376 times -3.116\nAnswer: 197479.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9490 + -170879\/18. Let k = -6131423\/966 - -140837\/23. Let h = -1727\/7 - k. What is the common denominator of m and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.6 + 8.4. Let h = z + -31. Sort h, -4, -5 in ascending order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*h - 2, 5*s + 3*h + 3 - 13 = 0. Solve 0 = -t - 3*t - s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 4*r + 32, k + 5*r - 77 = 0. Is 34 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*f + 9, -4*f - 12 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**2 + 4*q**2 - 4*q**2 to d*q**2 + i*q + v and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 - -136. Suppose -a = -2*n + u + 32, 3*u = 3*n - 54. What is the highest common factor of n and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 7*u - 10. Suppose -s = -a + 8 + 1, 0 = 2*a + 3*s - 18. Calculate the remainder when 15 is divided by n(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2164 divided by 1.\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4984)\/3560*3\/(-315)*-3?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 4, z: 6, f: 1}. What is prob of picking 1 f and 2 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/11 + 283\/22. What is the common denominator of -3 - 4\/((-8)\/97) and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505992821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4579?\nAnswer: 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:04 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3300, -13166, -29604, -52614?\n\"Answer: -3286*v**2 - 8*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2627422.4 to the nearest 1000.\nAnswer: 2627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 133.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/7 + (-9)\/(-21). Solve n*m - 15 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -6. Let x(u) = u**3 - 9*u + 3. Let m be x(3). Suppose 0 = 5*o - m*o - k. Solve o*q + 0 = -12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**6\/120 + x**5\/12 + x**4\/24 + x**3 + x**2. Suppose 5*c - 2*c + 23 = -2*u, -22 = 2*c + 3*u. What is the units digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o - 3*o - 2*o**2 - 5*o + (1 - 2*o - 1)*(-231*o - 149*o + 509*o).\nAnswer: -260*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72448*u**2 - u - 1551?\nAnswer: 144896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 4558.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1975, 7673, 17147, 30397, 47423, 68225, 92803?\nAnswer: 121157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let a(l) = 8*l + 18. Let q(i) = 2*a(i) + 36*c(i). Let j(v) = v - 30. Let w(z) = -3*z + 108. Let r(g) = 18*j(g) + 5*w(g). Calculate r(q(n)).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c**3 - 2 - 1 - 18*c + 24*c**3.\nAnswer: -19*c**3 - 18*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278127*a**3*f**2 - 9*a + 5036463*f**2 wrt a?\nAnswer: 834381*a**2*f**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -4*a - m, -2*a + 4*m = 2. Suppose 1 = -h + a. Suppose -3*v - h*o = o, v = 3*o + 16. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 2*y + 4. Let x(d) = -d**2 - 3*d + 5. Determine 4*f(g) - 3*x(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/329 and -67\/705?\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 28\/(-1)*(-12)\/24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 12. Suppose -k = -5*f + 12. Suppose 108 = f*u - 4*n, -4*n = 3*u - 0*n - 46. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.71774 millennia to centuries.\nAnswer: 747.1774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (-8 - -22) + 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 + 2*v**2)*(4 + 5 - 5)*(-2*v**2 - 2*v**2 + 5*v**2) + (0*v**2 + v**2 - 3*v**2)*(32*v - 32*v - 31*v**2).\nAnswer: 70*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 5. Let k = -165 - -181. Suppose -5*h - 14 - k = 0. What is d(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + (37 - 0) + -14 + 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n**2 + 4253*n - 903113. Let a(d) = 140*d**2 - 34025*d + 7224900. Let f(u) = -3*a(u) - 25*x(u). Solve f(v) = 0 for v.\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 5:45 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 591406 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43838*v**2 - 2153.\nAnswer: -87676*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:01 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428859 and 37383.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 - 126. Put 6\/7, z, -1 in descending order.\nAnswer: z, 6\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -24396?\nAnswer: -24376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = -1. Suppose 0 = i - 3*i. Suppose 112*n + 1015 = 8*n - 99*n. Which is the nearest to 1? (a) r (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34206*y**2 - 3 + 17074*y**2 + 17091*y**2 + 3.\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15634106 and 0.3.\nAnswer: -15634105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250698809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 14*y + 84 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 10*r**2 - 17*r - 7. Let c = -46 + 38. Let w be l(c). Let h(s) = 98*s. Is h(w) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1070558232*k*v**3 - 674248374*v**3 with respect to k.\nAnswer: 1070558232*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 160467384*c\/5 + 3218722665975432\/5.\nAnswer: 2*(c - 40116846)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*y - 2*b - 0*b, 2*y - 4 = -3*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 14 - 3*i - 6 - 6 - 3 to h*i + k*i**3 + y*i**2 + p*i**4 + r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24626*n**2 + 23270 wrt n.\nAnswer: -49252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -10, 6, 689, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56 and -8853.\nAnswer: -8797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2933?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/(-115) - 13944\/420.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6568, -26331, -59330, -105607, -165204, -238163?\nAnswer: -324526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 1.47. Let u = 1 - 0. Let t = u - p. Which is the second smallest value? (a) -1 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*j - 0*j + 2229, 2*j + 3353 = 3*i. List the prime factors of i.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1*(-8)\/44 + (-6828)\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4) + (19\/(-209))\/((-30)\/605).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3594 is divided by 653?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/731274 and 35\/1096911.\nAnswer: 2193822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**6)\/g*g)\/g)\/g**(-6\/7)*(g*g**5)\/g*g\/g**(7\/5) assuming g is positive.\nAnswer: g**(-19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.022 - -5.878. Let y = 2.9 - c. Are 7 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -529\/6. Suppose -23 - 1 = -3*i. Suppose 0*p - 4*p = i. Which is the second smallest value? (a) p (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 118199.1 * 0.2.\nAnswer: 23639.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(1254\/(-22))*-1*21\/4\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289298280 a multiple of 3790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1573.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -866134385, -1732268773, -2598403161, -3464537549?\n\"Answer: -866134388*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = k, -50 = -4*p - 6*k + 3*k. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -3040025 (c) -4 (d) 3\/8 (e) -3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = 2*k - 17, -2*x + 5 = 5*k. Let c be (9 - 10) + x\/8. Solve 3\/2*v + 9\/4 + c*v**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 24 + 48 - 6*t + 5*t to u + i*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 4*j + 6*j)*(3 - 2*j - 3) - 3*j**2 + 5*j**2 + 2*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k + 16. Let m(z) = z**3 + 5*z**2 - z - 4. Is 9 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 414\/54*(3 - 0). Solve 1 = 3*c - 2*d + t, 5*d = 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70028 = 16*d - 70268 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 37 = -2*r + 42, -3*h + 2*r - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2444421, 2444420, 2444419?\n\"Answer: -q + 2444422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + 4*z + 1. Let t be i(2). Solve 2*r + 5 + 6 = -3*u, 3*u = -t*r - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*l**3*x**3 + 2*l**3*x**2 + 5*l*x**4 + 250*x**2 wrt x.\nAnswer: -576*l**3 + 120*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(4 + -3)*(-44)\/6. Let f = y - 38. Solve 10 = -b + f*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*a - 88, 2*z + 3*a - 54 = 4*a. Suppose -4*c + 0*c = -20. Suppose z + 22 = c*o. Solve -3*j - j - i = -o, -j = 2*i + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 10) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/((-6)\/9). Let u = 2 - 1. Suppose -6*f - 36 = -18*f. Sort u, f, h.\nAnswer: u, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 0*w**2 - 2*w**2 + w**2. Suppose n - 1 = 0, n + 4 = 5*j - 5. Let a(m) = 4*m**2 - m**2 - 4*m**j. Give a(t(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0.052, -1\/397?\nAnswer: -1\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 236 + 20. Let p(d) be the third derivative of -19*d**4\/24 - d**3\/2 - 3*d**2. Let w be p(-3). What is the highest common factor of m and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1020 by -895133.\nAnswer: -1020\/895133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 275 = -2*o, -o = 2*j + 3*j + 130. Let h be (-72)\/o*5\/(-6). Which is smaller: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 7e93891?\nAnswer: -7e9388c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.06, 3\/22 in increasing order.\nAnswer: -0.06, 3\/22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4470 + -4459.672. Round k to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggssggsssgsssssggss. Give prob of picking 2 s.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1968\/245)\/(-6) + 2 + -1. Let r = f - 3\/49. What is the fourth smallest value in 1, 2, 5\/4, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635.\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s**7*s*s*(s**(-1\/3)\/s)**(-1\/14))**26 assuming s is positive.\nAnswer: s**(9334\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7085824 is divided by 281.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125\/393 - 2\/131. Let z = -172 + 172.2. What is the third smallest value in z, -3\/5, r, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c + 2. Let b(i) = -i**3 + 10*i**2 + 24*i + 2. Let d be b(12). Let z be f(d). Let r(y) = y**2 + 6*y - 7. What is the tens digit of r(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304026 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 27 = -3*a, -6*c = -2*c - 5*a + 9. Calculate the highest common divisor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3814678.7 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1348 and 8.\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2*c**3\/3 - 1. Let d(g) be the second derivative of 0*g**3 + 5\/12*g**4 - g + 0*g**2 + 0. Calculate f(d(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13137283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3, -4\/9, 50, -3\/4, -2\/3 in descending order.\nAnswer: 50, 4\/7, -4\/9, -2\/3, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42482397.\nAnswer: 3, 14160799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 18\/6)\/((-2)\/18). List the prime factors of (120\/t)\/(-2 - 70\/(-36)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1380\/(-1196) + ((-8)\/(-26))\/2. Let b(a) = -a**2 + a. Let t(d) = 2*d**2 - 9*d - 2. Determine y*t(j) - 6*b(j).\nAnswer: 4*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:24 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v - 33*v + 20*v - 37*v - 38*v - 17*v.\nAnswer: -124*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-612)\/(-1122)*4*(-22)\/(-32)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922.4491l to millilitres.\nAnswer: 922449.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4452786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**2\/2 - 42. Let s(b) = -5*b - 4. Calculate -s(g) + 3*u(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twenty-five sevenths of a week?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 20. Let n be q(-22). Suppose 4*o - o - 110 = -5*z, -o - 71 = -4*z. Suppose 0 = -n*r + 23 - z. Solve r*t - p - 2 = 0, 2*t + 3*p = -11 - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + y - 41 - 26 = 9*y - 9*b, -3*b - b = -12 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 14 - (1 + 3 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x = 48. Solve 3*i = 7*i + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15245 + 3589.3682797.\nAnswer: 18834.3682797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 0 - 2*w**2 - 5 + 1 + 4*w. Let n be d(-4). Let c be (-5 + (-50)\/(-6))*(-6)\/(-10). Sort 4, n, c, -7 in descending order.\nAnswer: 4, c, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (52 + -50 + 24) - (-117 - 0)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*r - 253*r + 711*r = 231*r + 403 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + -11 + (-1 - -7) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bthj when four letters picked without replacement from {b: 1, j: 1, m: 1, t: 1, h: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/8 + 5652\/864. Factor -z - 16\/3*g + 4\/3*g**2.\nAnswer: 4*(g - 5)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985985 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2567*a + 2233. Determine o(0).\nAnswer: 2233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 8*q + 10. Let z(f) = -f**3 + 19*f**2 - 2*f + 38. Let p be z(19). Calculate the remainder when 113\/3 + (-3)\/(-9) is divided by w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - 22) + 9 + -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 464974 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -374 (c) -3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 3 + (-31 - -9) - -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7927703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6 - (-62)\/(-4). Let b = -49\/3 - r. Let m = -6.2 + 9.2. Sort m, 0, b in decreasing order.\nAnswer: m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319706*a - 4*y = 319704*a + 42, 3*a = 5*y + 58 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 1490240*o + 1490239.\nAnswer: (o - 1490239)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k + 1. Suppose 5*y - 5*d - 10 - 60 = 0, 5*y - 4*d - 68 = 0. Solve -i - y = k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(6\/2))\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210058\/(-476)*4\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h**2 - 5*h**2 + 5*h**2 + (2*h + 5*h - h)*(2*h - 3*h - h) to z*h**2 + v*h + f and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**4 + s**4 - 2*s**4 + (-9 - 1 - 5)*(-6*s**4 - 26*s**4 - 3*s**4) to the form k*s**4 + d*s**2 + r + w*s + j*s**3 and give k.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 36 = -2*g, 8*g + z = 3*g + 78. Let x = -19 - -34. Let m = g - x. Solve m = -y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/4 + 56457*g\/2 - 112911\/4 = 0.\nAnswer: 1, 37637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -973 divided by 74\nAnswer: -973\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:19 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8700 by 4.\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 59*d + 54*d - 8*d**3 - 194*d + 55*d + 29*d in the form h*d**2 + b*d**3 + p + y*d and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 74. Let l = 29 - s. Suppose -g = -6*g + 10. Solve 0 = -l*z + g, -5*p - 4*z = -3*z + 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1919*l = 512*l + 100714 + 47577 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7605739?\nAnswer: 1087, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2946 - 2009. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -y + 51. What is the least common multiple of 4 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299305567 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22161, 88794, 199855, 355350, 555285, 799666, 1088499?\nAnswer: 1421790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -162*m**2 - 9*m. Let a(f) = 81*f**2 + 4*f. Calculate 9*a(y) + 4*j(y).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/637 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(208) + -1 + 0 + (sqrt(208) + (-2 + sqrt(208) - sqrt(208))**2 + -2 - sqrt(208)).\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2261, 1960, 1517, 938, 229, -604?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2717*j**2 + 3599.\nAnswer: 5434*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(52) + -5.\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 169 = -31. Calculate the highest common divisor of h and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14432 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56801*r**2 - r + 688955 wrt r.\nAnswer: 113602*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247575 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, x: 4}. Give prob of sequence xx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.781 + 2.28. Let t = y - 0.061. Which is the biggest value? (a) -4\/9 (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 <= 184\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:08 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 - 60*w**2 - 50*w - 6. Let z be t(-32). Suppose -3*p + 118978 = x, -2*x = -5*p + 61531 + z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-246)\/54 - -5)*2*6\/16. Which is greater: l or 1\/64?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/((-300)\/(-2000)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 109*b - 901. Let g be c(-8). Solve 188*v = 193*v - 5*m + g, 0 = 2*v - 5*m + 26 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158483 and 11169.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180091 + -105524. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10997238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 + 2*t + 1. Let s = -1 - -3. Calculate h(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10668 = -7*u + 2*u, -7111 = -2*t + 3*u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 31*h - 100 + 399 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/16)\/((31059\/612)\/(-203)))\/(1\/(-64))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**6\/39 + 12*q**5\/65 + 7*q**4\/13 + 32*q**3\/39 + 9*q**2\/13 + 4*q\/13 - 9. Factor z(o).\nAnswer: 2*(o + 1)**4*(o + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(2\/17)*m))\/(m*m*m*m*m\/(m**14*m)*m*m)*m\/(m*m*m**(6\/5))*m\/m**(4\/9))**42 assuming m is positive.\nAnswer: m**(56098\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -42*z**3 - 437*z + 12. Let g(p) = -16*p**3 - 146*p + 4. Give -3*c(v) + 8*g(v).\nAnswer: -2*v**3 + 143*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20694 is divided by 109.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let l(u) = -160635*u. Give l(v(b)).\nAnswer: 481905*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 11*p + 17. Let n be 28\/35 + 1\/(15\/138). Determine v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33756.\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*p**3 - 134*p**3 - 113*p**3 - 81*p**3.\nAnswer: -41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l*l**(-3\/4)*l*l*l*l*l*l**3*l**(-1\/2))**(-35))**(-2\/25) assuming l is positive.\nAnswer: l**(357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i + 1332589 - 9671081 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/47 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose -5*f = -r - 17. Calculate the least common multiple of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 23.8, 3.\nAnswer: 3, 23.8, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3471588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 794249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371*g**3*k**6 + g**3*k**3 + 4*g**3*k**2 - 27*g*k**2 - k wrt k?\nAnswer: -44520*g**3*k**3 + 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-27 - (-2 + -21 - (-145 + 133))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 5*s, -z + 18 = -4*s - 5. Is -563*(s - (1 - 3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*k - 5*g = 11, -4654*g = 3*k - 4652*g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (63 + (-8)\/(-6)*-6 + -6 + -5).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -27\/2, -5, 2\/15 in ascending order.\nAnswer: -27\/2, -5, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 9*y**2 + 13*y - 51. Let x be g(8). Let v(s) = 2*s + 16. Give v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -3*a, -3*a = 4*b. Suppose -2*y + 1132 + 270 = b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51*((-156)\/18 - -10). Which is smaller: 61 or i?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 23. Let j(d) = 4*d - 23. Let r(i) = -4*j(i) + 3*o(i). Let k be r(4). What are the prime factors of (-5335)\/(-35) - (-2 + 17\/k)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 0, -2*f + w + 4*w = 18. Let r = f - -37\/4. Factor 1\/4 - 1\/2*s**3 + 0*s**2 + 1\/2*s - r*s**4.\nAnswer: -(s - 1)*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 1, s: 2, o: 8, g: 1, y: 1}. Give prob of sequence yoxs.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 622155.19 and 0.41.\nAnswer: 622155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -2)\/(-2 - 0). Let g be ((-3)\/5)\/((-60)\/40). What is the nearest to -1 in g, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 16. Let y = -6\/23 - 11\/46. Let h be 104\/(-306) - (-6)\/27. Which is the nearest to 0.1? (a) y (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-8)*(-5)\/(180\/8). Suppose 0 = -2*h - h - 3. Let u be (-2)\/(-6) - h\/3. Is u smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 745029.4 centuries?\nAnswer: 74502940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = -5*p + 206 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*y - 61*o + 57*o, 2*y + 18 = o for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 83. Let t be ((-12)\/(-9) - -1) + y. Let s = 59 - 58.7. What is the third biggest value in t, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - 2. Let i be j(2). Suppose -4*s = -i*d + s + 23, 0 = 2*d + 5*s - 13. Let q(l) = l**2 - 5*l - 10. Is 9 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -648791?\nAnswer: 648777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16617*i*l + 12205*i + l**3 with respect to l.\nAnswer: -16617*i + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 4*x + 5, 0 = -x + 5. Let s be -3 - (-8 + 1) - v. Sort 2, 3, s in increasing order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -3557383)\/(-2)*2. Let p = 10942614 + t. Round p to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1009092 + 19167351\/19. Let x = -284 - q. Does x = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 576088453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3666, 3483, 3294, 3099, 2898?\n\"Answer: -3*d**2 - 174*d + 3843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 56181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3255 is divided by 3231.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.3, 921, -4, -0.4, -0.113 in decreasing order.\nAnswer: 921, 8, -0.113, -0.3, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 11\/20*w**5 + 0 + 0*w**2 - 1\/2*w**4 + 1\/42*w**7 + 0*w**3 - 1\/5*w**6 - 61*w. Factor d(k).\nAnswer: k**2*(k - 3)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2295 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 3*g**6\/5 + g**5\/20 + 31*g**4\/4 - 94*g. Find the third derivative of i(f) wrt f.\nAnswer: 432*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.63 bigger than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + s - 1, -s = 5. Suppose -x - 3*c = h, 0 = -2*x - 0*x + 4*c - 14. Let l = x - -5. Solve l = -5*n - 16 - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, g: 2}. Give prob of picking 2 i and 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 75*j**2 + 28*j - 16. What is the thousands digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -3. Let f(y) = 8*y. Let a be f(w). Let s = a - -83. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10467.\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/16302*-2831 + -81?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2 + 27*m - 66 = 0?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -23*f**2 + 325. Let p(c) = c**2. What is p(t(x))?\nAnswer: 2116*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 6*s = -28, -154*i - 5*s - 30 = -153*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {r: 7, l: 2, w: 7, q: 1, m: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 54*n + 140. What is b(5)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18784*u + 18644*u + 2660 = 0 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 2\/19, 1.5, 6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*j - 31*j + 15776 = -732*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 1, 9, 21, 37?\n\"Answer: 2*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 36 = -4*f, -4*g + 5*f - 41 = -5. Let z be (-3*6\/63)\/(40\/56). What is the second smallest value in -1, g, z, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 41. Let g(k) be the second derivative of 3*k - k**2 + 0 + 1\/6*k**3 - 1\/3*k**4 - 1\/20*k**j. Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178.4 and -0.08.\nAnswer: 14.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 5) to base 10\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922249 is divided by 1522?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*u - 46 + 67, -4*u - 12 = 4*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 + 5*w**2 + 21*w + 11. List the prime factors of x(-5).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1448\/36 + (-4)\/18. Let c be q - (12\/(-3) + 5). What is the third derivative of c*r**2 + 0*r**6 - 34*r**2 - 9*r**6 wrt r?\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445 and 445.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 1. Let w(g) = g**2. Calculate w(a) + x(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.5. Let l be (0 - 1)\/(42\/12). Let d = -4814 - -4837. What is the nearest to l in -4, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3361 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c9 + -4?\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 + 15\/4. Suppose o = -o + r. Let i(v) = -v**3 - v**2 + 3*v**2 + o*v**3 - 1. Determine i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*t - 2*t + 23, 5*g + 30 = -2*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1)\/39*(2 - 8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(792) + sqrt(792)*-1))\/(sqrt(2)*-1*5 + sqrt(2)*-2*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**8\/10080 + i**7\/210 + i**6\/10 + 7*i**5\/20 + 13*i**2. Let j(d) be the third derivative of g(d). Factor j(q).\nAnswer: 2*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650.7 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (142 - 158) + 9 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/((5\/10)\/(60\/8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*a**4 + 100*a**4 - 154*a - 36*a**3 + 152*a to the form o*a**2 + c*a**4 + n*a + x*a**3 + m and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -16. Let j = h + -30.0000043. Round j to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3 + 8*r**2 + 198*r + 468 = 0?\nAnswer: -6, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81235 is divided by 934.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -35*(1060\/(-70) - -15). Put -2, 1, s, -3 in descending order.\nAnswer: s, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a (base 12) to base 7.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 45. Suppose 2*i + 5*m + 8 = -7, b*m = -2*i - 10. Solve 3*r + 2*c = -12, -c + 2 = i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8686.\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 0.5, -82.92, 0.25, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.5, 4178\/3, 5, -2, -0.02?\nAnswer: 4178\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 31, -7, -737, -1, 1 in increasing order.\nAnswer: -737, -13, -7, -1, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1416?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((5 + (sqrt(1088) - -2*-2*sqrt(1088)) - (-5*(sqrt(1088) - sqrt(1088)*2) + -1 + sqrt(1088)*2)) + -4)*5)**2.\nAnswer: -8000*sqrt(17) + 2720098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**3\/3 + 2. Let f(s) be the first derivative of 1 + 0*s**2 + 0*s - 7\/3*s**3. Give g(f(q)).\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/20*(-23868)\/(-351)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (14 - (7 - -7 - -14))) + 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 21*q**2 - 19*q - 18. Let k be y(20). Solve 0 = -3*j - k*a - 3, 2 = -3*j + 2*a - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/11)*w**10\/w*w**(-20)*w*w**(-2\/17))**(-1\/4) assuming w is positive.\nAnswer: w**(1739\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1884 = -7*f + 2108. What is the smallest common multiple of 38 and f?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 10*v**2 + 10*v - 10. Determine x(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22888738726*h - 22888738841*h + 0 + 0.\nAnswer: -115*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2*n + 62. Let v be z(9). Let c be (5*11\/(-11))\/(v\/3). Sort c, 0, -2, -1 in decreasing order.\nAnswer: c, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - d - 3. Let m = -2 + 2. Let w be t(m). Let z(y) = -4*y - 1. What is the smallest common multiple of z(w) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/8)\/((-1183)\/(-1521))\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/129325 and -32\/245.\nAnswer: 905275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 54 = -4*d + 7*d, 0 = 3*z + d + 30. Let x = 11 + z. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 + 5*i - 5. Let h be p(-6). Suppose 0 = -3*j - 10 + h. Sort -2, j, 6 in increasing order.\nAnswer: j, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f - 177. Let q be l(-13). Solve 2*h = -2*o, -5*h - 3 = q*o - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83 + 74 + 8 + 477*a)*(-3*a**2 + 0*a**2 + 2*a**2) in the form h*a + u*a**3 + s*a**2 + v and give u.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*61\/(-3) - -2. Let k = -71 - z. Let b(s) = 4*s + 51. Let w be b(k). Solve -w*j + 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 1, c: 1, r: 1, h: 2}. Give prob of sequence ht.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/2309 - -6871\/9236. Factor -d*h**2 + 6 - 3\/2*h.\nAnswer: -3*(h - 2)*(h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899712280 a multiple of 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 - -525. What is the remainder when 90 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49224 or 49200?\nAnswer: 49224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:19 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z**3 - 812 - 14*z**2 + 812 - 2*z**4.\nAnswer: -2*z**2*(z + 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 88*x - 1756. Let g be l(20). Solve -g*r + 17 = -3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - l + 44 = 0. Solve 11 = -4*n - 1, 2*n = -l*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914705 is divided by 114264?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.9. Let k = 106 + -106.075. Let r = k + 5.075. Which is the closest to j? (a) -6\/11 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v = -60*v + 12. Suppose -510 = -v*t + 1485. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 121, -0.1, -0.2, 2\/5 in increasing order.\nAnswer: -0.5, -0.2, -0.1, 2\/5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 34. Suppose i*m = -3*m + 275. Factor 35*r - m*r**4 + 10*r**3 - 10 + 35*r**4 - 40*r**2 - 6*r**5 + r**5.\nAnswer: -5*(r - 1)**4*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3553 - -110866618.7.\nAnswer: 110863065.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**2 - 42*y**2 + 12*y**2 + 156*y + 9*y**2 + 19.\nAnswer: 2*y**2 + 156*y + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 3871?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, y: 3, i: 2, x: 6}. What is prob of sequence xyiy?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 - 261 - (-12)\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - -5.14. Let p = 62.1 + -57. Let i = p - s. Sort i, -1, -3 in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/891*18\/(-4)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 24. Determine i(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/(1\/6). Suppose f*g = -3*g + 140. Find the second derivative of 2*l**2 + g*l - 2 - 26*l + 2 wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3 + sqrt(18))**2 - sqrt(500)\/sqrt(10)) + -2 + 4.\nAnswer: 13*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 98 - 30. Which is smaller: j or 31\/2?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 + 9 = t, 0 = d - 5*t + 6. Let g(b) = 2*b**2 + 2 - 3 - b**2. Let a be g(-1). Solve a*w - d = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*n**2 - 78*n**2 + 30*n**2 - 18*n**2.\nAnswer: -332*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/5 - 3*c**2\/5 + 4\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7528 + 7530. Let j(m) = -m**3 - 2*m**2 + 1. Let o be j(-2). Suppose q*r - o = 5. Solve -7*s + r*s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*g + 2, 4 = -2*g + y + 14. Suppose 0 = -g*d + 400 + 167. Calculate the remainder when d is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 0. Let m be s\/1 + (-3)\/9. Suppose -4*q - 17 = 3*x, q + 19 = -x - 3*q. Which is the biggest value? (a) m (b) 1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311345.71 times 0.3\nAnswer: 93403.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by -73*4\/(-3 + -1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -972 equal to -974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000110000 - 1?\nAnswer: 10110000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(26\/39) + 1615*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19515056?\nAnswer: 2, 11, 110881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 736260 divided by 15?\nAnswer: 49084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 1. Let w(k) = -12. Let r(p) = -3*v(p) + w(p). Let h be r(9). Suppose 2*u + u = h. Calculate the lowest common multiple of u and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844101.9 litres in millilitres?\nAnswer: 844101900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/3 + 31405*k**2\/3 + 240281587*k\/3 - 33113944331 = 0. Calculate k.\nAnswer: -15899, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1951*p = 1938*p - 286 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 2*r, -4*r + 0*r + 20 = -3*b. Suppose r*z - 18*o = -20*o + 26, -2*o - 4 = 0. Solve -12 = -z*v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -7*u + 24. What is the remainder when 26 is divided by (-4)\/12 + 44\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*20\/775)\/((-10)\/(70\/14))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15 = 6569*v - 6572*v, 4*v + 2*t + 32 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15799284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*q = 80*q - 2*k + 22, 3*q + 29 = 4*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85, -318, -701, -1234, -1917?\n\"Answer: -75*h**2 - 8*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 32\/3 (c) 0.3 (d) 100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1000366 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 3*a**7\/35 - a**5\/2 + a**3\/6 - 28*a**2. Find the third derivative of m(n) wrt n.\nAnswer: 432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4483, -4618, -4831, -5116, -5467?\nAnswer: -5878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-9)*3*6\/(-12). Let x = 2 + -4. Which is the third biggest value? (a) x (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01394 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:36 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 9:25 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13\/(p\/p**(-5\/8)))**(-7) assuming p is positive.\nAnswer: p**(-637\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(5\/5) - ((-8)\/(-2) - 4). Let p(g) = 2*g - 8. Determine p(s).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.128 and 9.3715?\nAnswer: 1.199552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 5*a + 8. Let v be t(-12). Let d = 82 - v. Let p be 10\/1*4\/d. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-26)*(d*d**(4\/3)\/d)\/(d*d*d**(-7)) assuming d is positive.\nAnswer: d**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 65*z + 62*z - 1 + 149*z. Let p(q) = 4*q. Calculate p(g(v)).\nAnswer: 1104*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2416, -2407, -2376, -2311, -2200, -2031, -1792, -1471?\n\"Answer: 2*h**3 - h**2 - 2*h - 2415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (19 - ((-12 - 6) + 152)) + 12\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 16*i**2 - 2. Let x be g(-16). Let q be 1 + -5 + 4 - (x - -12). Calculate the remainder when 60 - (q - -3 - -4) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*v = 2*z - 198, 3*z = -2*v + 157. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/15 - 195\/9. Let a = -1501 + 1479. Is a greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 + d**2 + d + 2. Let j be n(2). Let k be ((-2)\/(-8))\/((-4)\/j). Sort k, -0.3, 0 in descending order.\nAnswer: k, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -227*l - 2. Let y(c) = 152*c + 1. Determine -5*t(k) - 8*y(k).\nAnswer: -81*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c + 4. Let l be y(0). Suppose 14 = 2*o + 4*n, 0 = o - l*o - 2*n + 13. Suppose -2*u + 2*r = 3*r + 1, -2*u - o = 3*r. Which is bigger: -5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 3*v + 2*k, 4 = -5*v + 2*k. Solve 0 = b - 2*a + 11, b + v = -a - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 13 = p, 0 = -22*b + 5*p - 41 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(225) + sqrt(225) + -2*sqrt(225)))\/(sqrt(40)\/(sqrt(32)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - -226?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*c**3*i**2 + 17*c**3*i - 16*c**3*r**2 - c**2*i**2 - 14*c**2 - 8*c*r**2 + 4*i**2 wrt c?\nAnswer: -126*i**2 + 102*i - 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7141 divided by 7141.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in seconds?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 2, h: 6, i: 1, s: 1}. Give prob of picking 1 v, 1 l, and 1 h.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 993931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16917 + -0.169167093. What is k rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*c*j**3*x**2 - 3852294*c*j**3 + c*j**2*x**2 - 89*c*j + 889*c*x**2 - 10*j**2*x**2 - 2*j**2 wrt j?\nAnswer: 474*c*x**2 - 23113764*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/174 and 86\/609?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from nnnxnnxxnxnnxnnnxxn?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/260*5)\/((-15)\/(-140))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10.8, 2219, 1, -2\/5.\nAnswer: -10.8, -2\/5, 0, 1, 2219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 5*o + 3*o - 6 - 3*o**2 in the form q*o**2 + c*o + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 261. Let m(p) = 8*p**2 + p - 1062. What is -2*m(z) - 9*n(z)?\nAnswer: 2*z**2 - 2*z - 225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 7*z - 1. Let p(b) = -b**2 + b - 1. Let k(i) = -c(i) + 3*p(i). Let n = 1 - 5. Determine k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)\/z)\/z**1)\/(z\/(z\/(z\/z**(-3\/5)*z)))**45 assuming z is positive.\nAnswer: z**(-127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -864, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*45.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) - -2*sqrt(84))*-2 - sqrt(84) - sqrt(84)))\/(sqrt(12) - sqrt(24)\/sqrt(8)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*w = 19, -5*p + 3*w - 80 = -0*p. Calculate the smallest common multiple of 18 and p*(-5 - -4)\/((-2)\/(-6)).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-216) + (115\/207 - 1) - (-354)\/(-8)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/16059?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4, -957, -5 in decreasing order.\nAnswer: 3, 1, -4, -5, -957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 111*i - 1316. What is a(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 21*j**2 - 6126*j + 54648.\nAnswer: 3*(j - 44)*(j - 9)*(j + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*h**2\/9 - 292*h\/9 + 16\/3.\nAnswer: 2*(h - 4)*(35*h - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44314322 (base 5) in base 13?\nAnswer: 106677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-3*s**2 + 5*s**2 - 3*s**2) + 6248*s**2 - 28263*s**2 - 30323*s**2 + 9532*s**2 + 9343*s**2 - 18550*s**2.\nAnswer: -52012*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1 (c) -1\/2 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:41 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2524 (base 8) in base 6?\nAnswer: -10152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/62*(748\/(-8))\/11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253 - -540. Suppose -282*x + w*x - 2505 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 56\/(-16) + (-4)\/8. Which is bigger: -22\/299 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 8) + 12 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v + 63. Solve 0*m + m + v = 5*p, -2*p + 26 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:18 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/30*(-2)\/14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.12683*1209\nAnswer: 153.33747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5327 and 2\/761.\nAnswer: 5327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o. Let k(n) be the second derivative of -n**5\/60 - n**3\/3 - 5*n. Let q(v) be the second derivative of k(v). What is w(q(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1 - 9*r + 2*r - 3*r + 4*r - 18.\nAnswer: -6*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -110*b**2 + 10*b. Let z(f) = 22*f**2 - 2*f. Let o(a) = -3*j(a) - 14*z(a). Find the second derivative of o(m) wrt m.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 54 = -2*k, 0 = 3*k + 4*h - 82. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(5 - 2) - -3. Let x be 16\/24*s\/(-16). Are 1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4929834317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*o = 618. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83805.61 kilograms to micrograms.\nAnswer: 83805610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f = -22*f - 46. What is the remainder when 61 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -3, -7, -13, -21?\n\"Answer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592705 plus 18.9?\nAnswer: 3592723.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*-5*3\/(-6). Let t(k) = -k**3 - 6*k**2 + 7*k + 10. Let u be t(-7). What is the highest common factor of u and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19094 + 144608 = 1101*y for y.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 30*y + 383. Determine s(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 1 - 1 + 1)*(-9 - 14 + 15) + 2*f - 1 + 1.\nAnswer: 18*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 217*d + 215*d - 21 = 0, a = 3*d + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -475.8 - -255. Let y = x + 199. Let m = -22 - y. Which is the third biggest value? (a) 0.1 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -b1b?\nAnswer: -b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: d6 (base 16) to base 10\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*t + 3 - 2, -5*t + i + 14 = 0. Suppose 724 - 2740 = -t*j. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 411. Determine z(-29).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177247.\nAnswer: 7, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/420 - q**4\/84 + q**3\/42 - 9*q**2\/2 + 15*q. Let f(d) be the first derivative of m(d). Factor f(g).\nAnswer: (g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -9. Let f = -2 + x. What is the second biggest value in 0, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 29.\nAnswer: -20\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p + 1. What are the prime factors of u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + (-1 - (3 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*l - 309*l - 18 = 5*r, 3*r + 4 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48048 and 28?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396) + sqrt(704)*1)**2 + -1*sqrt(891)*1 + sqrt(891) + 1 + -1.\nAnswer: 28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0\/(-1) - (-2 - -20)). Let w be x\/99 - (-11002)\/11. Suppose a + 179 = -i + w, -3*i = -a + 821. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/2 + 19027*x\/2 + 19029 = 0.\nAnswer: -2, 19029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 10*v + 3. Let m be z(-9). Put -4, 4, m in increasing order.\nAnswer: m, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + 11d0a?\nAnswer: 11cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 403c3 (base 15) to base 4\nAnswer: 301221132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 16 = -4*t + g, 4*g - 16 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018780 is divided by 832.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8877 - 8876.4. What is the fourth biggest value in 0, 5\/12, -3\/8, f?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -56. Which is greater: r or -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106703 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 147. Suppose 0 = -5*q - 3 + 8. Solve -i*w + x = -2*x + 3, 0 = 5*w + x - q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - sqrt(26)\/sqrt(2)*5 - sqrt(325)*-1.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 + 149. Suppose -o = -3*l - 45, -l + 60 = -5*l + 4*o. Let z be 11\/(-15) - 6\/l. Which is the nearest to n? (a) 1\/3 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/120 - b**4\/8 + 2*b**3\/9 + 638*b. Factor p(m).\nAnswer: m*(m - 8)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 1975 + 1012 + 1519 as w*a + l and give l.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 1. Suppose -5*w = -5*q, -5*w = 2*q - 0*q - 7. Let y(k) = -4*k + 2. Let b(v) = w*y(v) + 2*f(v). Let t(g) = -3*g**2. Determine t(b(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6894 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/90)\/((-4)\/(-30)*12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-3)\/((-15)\/(-20)). Let g = x + -6. Find the third derivative of -11*y**g - 6*y**2 - 15*y**2 - 29*y**4 + 6*y**2 wrt y.\nAnswer: -696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.2, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 5579779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2270306*d*t*x - 2*d*x + 4*t*x - 950*t - 455*x wrt d?\nAnswer: -2270306*t*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 224117388 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 1826\/44)*(-2 - 44)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -166359, -332726, -499095, -665466, -831839?\n\"Answer: -u**2 - 166364*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996276?\nAnswer: 2, 3, 83023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 50 + 60 - 10 - s**2.\nAnswer: -s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3342 - -4083. Is o a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13))*-5 + (-1*sqrt(52))\/sqrt(4).\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180371331 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-6)*(2 + (-8)\/(-3)). Let z be (0 - (-4 - g)) + 5. Solve -r + z*r - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102632 is divided by 1267.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27.6 times 32\nAnswer: -883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + z - 13 + 23 = 0, 2*z - 29 = 5*p. Let r(i) = -22*i - 156. What is r(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + g**2 + 5*g - 12. Let o(m) = -3*m**3 + m**2 + 4*m - 12. Let j(v) = 5*o(v) - 4*q(v). Let d be j(0). Put d, -2\/7, -4 in increasing order.\nAnswer: d, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + -1)*-3*-5)**2 + -2)*-4 - (-4*(-5 + -1*sqrt(13)) + -4*sqrt(65)\/(sqrt(5)*1 + sqrt(5))).\nAnswer: -12612 + 1798*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-848)\/(-265))\/((-4)\/10*(-162)\/1620)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -9. What is the remainder when (73 - 3) + 4 + o is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpc when three letters picked without replacement from cccccgcpccccccycycp?\nAnswer: 182\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-2)\/10)\/(8\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5603704*119.\nAnswer: 666840776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.93369689 rounded to 1 decimal place?\nAnswer: -81.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvxvvvvvv. What is prob of sequence xxv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 21. What is l(-15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -32*c**3 + 5*c**2 + 2*c + 10. Let j be p(-4). Suppose j = 45*u - 39*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.9442 litres in millilitres?\nAnswer: 75944.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, p: 5, j: 3, s: 3}. What is prob of picking 1 l, 1 s, and 2 j?\nAnswer: 27\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from tttttttktthkthhtt.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -58. Suppose n = 2*d - 5008, -2*d = -c*d + 4*n + 2511. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = 4*f - 2096, 3*q - 888*f = -892*f + 668. Let w(x) = 23*x**3 - x**2 + 1. What is the remainder when q is divided by w(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzmzmzz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:29 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 24. Solve 5*u - 28 = -m*h, -2*u + 5*h - 6 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2364090 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*v + 2268, 88*l = 90*l + 4*v - 1512. Calculate the highest common divisor of 3618 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2598*p - 46379 - 256 = 52855 - 8560 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1029924 divided by 84\nAnswer: -12261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12644 - -24775. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 26972.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2233211*w**2 + 2633548*w wrt w.\nAnswer: 4466422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j - 3*j + 6*j + 84 + j. Let p be i(-8). Let h be ((-6)\/p)\/((-4)\/(-8) + -1). Is h at least -9\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/24 - 5*z**2\/4 - 203. Find c such that n(c) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 - 3*i**2 - 3*i - 5. Let z = 14 - 6. Let n(j) = 8*j**2 + 26 + 41 - 74 + 21 - 11*j**3 + z*j. What is -3*n(t) - 8*x(t)?\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 353, 346, 335, 320?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 6 + 6 + 6 - 45*x to the form f*x + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/12 - 5*r**4\/6 + 10*r**3\/3 - 48*r**2. Factor y(v).\nAnswer: 5*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/(-36))\/(3\/(-10)). Suppose -c*b + 461 + 589 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 6 = 3*g, -g - 4 = 3*i - 0*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 108 (b) 1\/2 (c) 0.8 (d) 1 (e) 2\/7 (f) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 64394085.\nAnswer: 128788170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 7*v - 100. Let t be i(-14). Let r(n) = 12*n**2 + 13*n + 9. Let j(k) = 6*k**2 + 6*k + 4. Let m(h) = 5*j(h) - 2*r(h). Determine m(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 13*w**2 - 29*w + 29. Is m(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88743620033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.76 and 8546.\nAnswer: 109046.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -15 + -2 + 0 + 4 - -9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-177)\/(-2)*(-8)\/(-6). Suppose 4*f + 325 = 45*d - 48*d, 2*d + 210 = -f. Let r = s + d. Solve 3*h + 5*b - r = -43, 4*h + 4*b + 24 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*s - 26, -4*s - 15*x + 19*x + 40 = 0. Solve -s*b + 14 = -q - 3*b, -17 = q - 4*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times -0.16575?\nAnswer: -0.029835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/6 + o**3\/3 - o**2 + 2*o. What is the lowest common multiple of 5\/2*(-4)\/(-5) and b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3169 divided by 3.\nAnswer: 3169\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 5*t - 2*t - 7*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/9 + (-86 - 1330\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 13. Let w be g(9). Solve 0*m - w*m = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*d**4 - 4*d**2 - 2 + 54*d**3 - 41*d**4 - 54*d**3 + 39*d in the form g*d**3 + j + y*d**2 + i*d**4 + r*d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424.5919 microseconds in minutes?\nAnswer: 0.000040409865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(5*2\/1000)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let h(q) = -5*q - 6. Let y(f) = h(f) + i(f). Let n(z) = 5*z + 6. Let p = -24 + 17. Let k = 0 - 6. Calculate k*n(g) + p*y(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/7 (b) 227 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -22 + 2 + 19 + g. Let s(j) = 2*j - 1. Determine 4*r(a) - 3*s(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145063206 + -5?\nAnswer: 145063201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*y = -137*y - 4810. What are the prime factors of y?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Find the third derivative of -3*p**s - 2*p**2 + p**5 + 0*p**2 + p**2 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684*i - 50 = -685*i. Suppose -2*b + 49 = -7*q + 4*q, 3*q - 71 = -4*b. Calculate the least common multiple of b and i.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/10 - 3*i**4\/10 + 3*i**3\/5 + 13*i**2\/5 + 27*i\/10 + 9\/10 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70*140*90\/(-7056).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -1 + 2200*u**3 + 848 + 284*u - 2484*u - 2210*u**2 + 547 + 5*u**4 + 811 = 0.\nAnswer: -441, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.337847 millilitres in litres?\nAnswer: 0.008337847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g + 40. Suppose 3*p = 47*z - 41*z - 84, 5*z - 75 = 5*p. Calculate w(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43149?\nAnswer: 3, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/13, -30.\nAnswer: -30, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i - 7. Let s = -5 - i. Factor -1\/4*j**3 + 0*j - 3\/4*j**5 - 1\/4*j**s + 0 + 5\/4*j**4.\nAnswer: -j**2*(j - 1)**2*(3*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5 + 0 = 0, -5*l - 40 = 3*r - 62 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 5 + 2*p - 1\/2*p**3 - 3\/2*p**2. Let n(i) be the first derivative of r(i). Differentiate n(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145912\/(-183))\/92*18\/48?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + ((sqrt(112) - (sqrt(112) + 0))*3 + sqrt(112) - sqrt(112)))**2 + -4 + ((-1*sqrt(112)*2)**2 - (-3*sqrt(112)*1)**2).\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 23\/9 in descending order.\nAnswer: 23\/9, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155235 is divided by 5810.\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/509120 and 11\/47730.\nAnswer: 1527360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 + 2.1. Let o = -0.39 - -0.3. Let v = 0.31 - o. What is the nearest to j in -4, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 6. Give s(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by -12357.\nAnswer: -77\/4119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 3*z, -y + 2*z - 61 = -68 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + -1 + 4 + (5*(1*sqrt(99) + sqrt(99)))\/(sqrt(72)\/(sqrt(8)*-2)).\nAnswer: -20*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -7322*d - 3*d**3 - 10*d**2 - d**3 - 7318*d + 3 + 9 + 14642*d = 0.\nAnswer: -2, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/(24\/(-36))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72202 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: Suppose 0 = -2*x - 3 + 63. Let r = 16 - -2. Suppose 5*d - r = 42. What is the greatest common factor of d and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 + (-29 + 0 - (-9 + 16)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 + 2. Let j be f(4). Let d be (-2 + 1)*9 + j. Let s(g) = 2*g**2 + g. Is s(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-29)\/z*z)**(10\/9)*(z**(-30)\/z)\/z**(-1\/17) assuming z is positive.\nAnswer: z**(-9664\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - f - 4*f - 2 + (-6 + 6 + 5)*(-3*f + 2*f + 5*f) as r*f + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 24 + 25 - 72 + 480*l to z*l + u and give z.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h - 1. Let o(v) = 82*v - 437 + 436 - 61*v. Determine 4*f(g) - 3*o(g).\nAnswer: 21*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(1\/(-1) - (13 - 13)). Solve r + y = 7*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 6*k**2 + 3*k - 2. Let y(w) be the second derivative of w**5\/20 + w**4\/12 + w**3\/6 + 224*w - 2. What is -v(t) + 6*y(t)?\nAnswer: 5*t**3 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgzcqkk. What is prob of sequence kq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.142 + -0.358. Let y(n) = -3*n**2 - 2*n + 4. Let w be y(3). Which is the second biggest value? (a) w (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**30*i**36 assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 2*p - 1. Determine r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10280 or -10257?\nAnswer: -10257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 123867*q**4 - 4*q**3 + 2*q + 2*q**2 + 123880*q**4 as r*q**4 + b + t*q**3 + s*q**2 + n*q and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = 2*l + 3*l. Let f = -70 + -42. Let v = l + f. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*p - 4 = 6, -o + 7 = 2*p. Solve -5 = o*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-4) - 412\/(-16) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 1834 = 1726 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 677\/330 + -51\/22. Let j be -1 + 3\/3 + 1. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20045237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 5*u**2 + 5*u - 3. Suppose -2*x - 488 = -42. Let i = x + 226. Calculate m(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 15. Let c = 7.4 - z. Sort c, -0.02, 1\/4 in decreasing order.\nAnswer: c, 1\/4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 693925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - y)*(2*y + 0 + 0) + 25*y**2 - 93*y**2 + 22*y**2 to v + w*y**2 + i*y and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1371 - 0.15\nAnswer: -1371.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - 0.1. Let g = -0.25 - 0.34. Let p = 1.59 + g. What is the closest to p in 0.1, -1\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*b + 2*b + 288, 5*t - 710 = -5*b. Calculate the remainder when t is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 4. Suppose 55*l - 24 = 59*l. Let g(d) = 5*d + 7. Give l*g(a) - 11*j(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 2*t + 7. Let b(v) = 2*v**2 + 2*v + 8. Let z = 8 + -4. Suppose z*l + i = -4*i + 45, l + 20 = 5*i. Give l*b(j) - 6*h(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41199, 1\/4, 1, 0.4, 3, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7, l: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6471.98 + -6472. Put x, -265, 0.4 in increasing order.\nAnswer: -265, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*v = 0, -9*o + 5*o - 12 = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -47?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -31*p + 933. What is h(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**42\/(m\/(m**10\/m)*m*m**(1\/9)) assuming m is positive.\nAnswer: m**(440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 7. Let a(o) = -6*o + 8. Let y be (0 + (-3)\/(-3))*-7. Let x(u) = y*z(u) - 6*a(u). List the prime factors of x(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 54*g**3 + 5*g**2 - 5*g - 5. Let i(s) = -81*s**3 - 8*s**2 + 8*s + 8. Determine 8*c(p) + 5*i(p).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 99*c + 434. Calculate x(-45).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.190525 to two decimal places.\nAnswer: -47.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**7\/21 + 43*d**5\/4 + 2*d**4 - 35*d**2\/2 + d - 652. What is the third derivative of z(w) wrt w?\nAnswer: 120*w**2 + 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*d = 34 - 4, -5*z - 2*d = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(0 + 6\/(-15)). Suppose 5*l - m = -5*k, 128 = 5*k - l + 3*l. Suppose k = 3*z + 3. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 105674 in increasing order.\nAnswer: -2, 1, 105674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:02 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 3*n - 18 + 34)*(0*n - 3*n + 2*n).\nAnswer: -3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 293.0147 - 293. Let u = f - -6.9853. Let z be (-7)\/(7\/(-6)) + -2. What is the nearest to 2 in z, u, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18623 or 18626?\nAnswer: 18623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.34 - 31.34. Which is the biggest value? (a) -3 (b) y (c) 1\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 3*p**2 + 3*p**2)*(3 - 1 - 4) + 223*p**2 + 40*p**2 - 259*p**2 + 437*p**2 + 1003*p**2.\nAnswer: 1442*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41120717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1963 + -2045. What is the closest to 0.1 in c, 2, -5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d - -d351?\nAnswer: d3ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 35 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 7281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4705*g - 31. Let f(a) = 8*a. Give f(q(p)).\nAnswer: 37640*p - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**3\/3 - 19. Let y(h) = -27*h**2 - 13*h**2 + 17*h**2. What is y(a(f))?\nAnswer: -92*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1))\/(-2 + 3). Suppose 3 = 4*m - 4*t - 13, 5*m - 29 = 2*t. Let a be (20\/(-16))\/(m\/28). Put a, y, -2 in increasing order.\nAnswer: a, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 325*i**3 + 15*i**2 + 965*i - 650.\nAnswer: -5*(i - 1)**2*(i + 2)*(i + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 124*j + 1158. Let n be d(-9). Solve o - 8*o - n = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {n: 1, w: 1, v: 3, j: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 10*f - 12. Calculate p(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**42)\/(g\/g**(-2\/17)*g) assuming g is positive.\nAnswer: g**(-733\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128732 divided by -8551.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 - 193. Let m(p) be the second derivative of 0 - 7*p + w*p**2 - 1\/2*p**3. Let r(v) = 8*v. Give r(m(u)).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 55 = -4*l, -5*l + 3*n + 65 = -6. Calculate the greatest common factor of l and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/9 + 4117*o\/9 - 116870\/3.\nAnswer: -(o - 4030)*(o - 87)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 16 = -4*l. Let b be l\/(-14) - 78\/(-21). Let i = 11 + -7. Solve -3*o + 16 = -2*n, -b*n - 17 = i*o + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38622 and 171185578?\nAnswer: 12874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, 1207\/5, 0.3, -2, 0.5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 307.646 and -0.7?\nAnswer: -215.3522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 31*s + 217, 14*s = -498 + 400 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1100 + 185. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15465 - 8925. What are the prime factors of c?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.409350304 to 4 decimal places.\nAnswer: 0.4094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21035 - 0.3.\nAnswer: 21034.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 5. Let i be z(6). Let o(q) = 3*q**3 + q**2 - 1. Let h be o(i). Is 25 a factor of (-4)\/12 - (-76)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/5)\/q**(-5))**(-7\/4) assuming q is positive.\nAnswer: q**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -499.340701 rounded to one dp?\nAnswer: -499.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z. Let w(r) = -2*r + 16. Calculate w(x(j)).\nAnswer: 6*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*q, 4*p + 3 = 3*q + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1315\/45 + 4\/(-18). Suppose -4*j - 2*a - 3*a = -q, 3*j - 8 = -a. What is the derivative of 0*s + 0*s + 3*s**4 - j wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2830 and 584678.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 6) to base 3.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3186, 12818, 28892, 51408?\n\"Answer: 3221*s**2 - 31*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -51*a + 2. Let l(h) be the first derivative of 25*h**2\/2 - h + 8184. Give -11*l(n) - 6*m(n).\nAnswer: 31*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - c**3 + 3*c**4 + (3*c - 3*c + 2*c**3)*(-3*c + 2*c + 3*c) + 2*c**4 + 3*c**4 - 6*c**4 - c + c**4 + 2*c - 2*c.\nAnswer: 7*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + 0 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60586 - 34681. Let m = s - 12644. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 22*h = -88, -4*n + 5*h + 1441 - 1457 = h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 92\/(4\/(-1)) + (-9)\/(-3). Let j = 21 + b. Let i be (-2 + (-30)\/(-4))\/(j\/(-6)). Which is greater: i or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*k + 102*k + k**2 - 37 + k**2 + 0*k**2 - 2*k**2 + (-4 + k + 4)*(-1 - 2*k + 1))*(0 + k**2 + 0).\nAnswer: -2*k**4 - 37*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.03 (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00122928 to 5 decimal places.\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a + 18*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 585\/10 + (-2)\/(-4). Suppose 3*g - d - 28 = 0. Let o = g + 3. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**3 + 14*j**3 + 9*j**3 + j**3 - 5 + 5 + (-4*j**2 + 4*j**2 + 2*j**2)*(-j - 4*j + 3*j) + 17*j**3 + 7*j**3 + 36*j**3.\nAnswer: 70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 = 2*g, -22 = 3*b - 5*g - 6. Solve -b*n + 4*y - 12 = -0*y, 4*n - 4*y + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*m**3*o**3 + 2*c*m**3 - 2*c*o**2 - 388*m**3*o**3 - 2681*m**2*o**3 - m**2 wrt m?\nAnswer: 6*c*o**3 + 12*c - 2328*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47424\/15504*(-68)\/(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*b + 64 + 182 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, q: 5, y: 8}. Give prob of sequence ffy.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (69006\/(-848))\/93*-1\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 11}. Give prob of picking 1 j and 1 w.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b*b*b**(-1\/7))\/b)))\/b**1*b**2*(b*b*b**(-2\/7)*b)\/b assuming b is positive.\nAnswer: b**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11537 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/4510 - -18266\/2255. Calculate the common denominator of t and 59\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 214?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, d: 7}. Give prob of sequence dddg.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Suppose 5*x = r + 18, -4*r + 0*x + 12 = x. Suppose -k = -r*k + 3. Let f(z) = 2*z - 4*z + k*z. What is y(f(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9798.5 rounded to the nearest 100?\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/5 + 701598*v\/5 + 123059938401\/5 = 0. Calculate v.\nAnswer: -350799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 3*t**7\/7 + 32*t**6\/3 - 118*t**3\/3 + 2*t - 124. Find the third derivative of z(h) wrt h.\nAnswer: 360*h**3 + 3840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70062 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 169*t**3\/3 + 5902*t**2 + 206116*t - 3751. Factor j(s).\nAnswer: (13*s + 454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.84 - -3.54. Which is the biggest value? (a) -2\/5 (b) p (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0 - 283\/6*x**3 + 301*x + 136*x**2. What is the derivative of q(o) wrt o?\nAnswer: -283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/169 + -666\/845. Which is the closest to -0.1? (a) 0 (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + (-1 - (0 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**4 - 399*o + 108 wrt o?\nAnswer: 20*o**3 - 399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-15)*3\/(-2). Let v = 7 + -6.6. Let t(f) = -f**3 + 9*f**2 + 11*f - 5. Let j be t(10). What is the second smallest value in v, y, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1391 in -2\/7, 0.01, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (0 - 6 - 2)*(1 + 1 + 0))*(-8*h**2 - 2*h**2 - 2*h**2).\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d**3 - 6*d**2 + 4*d - 5. Let w(k) = -23*k**3 - 17*k**2 + 12*k - 14. Determine -17*v(x) + 6*w(x).\nAnswer: -2*x**3 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23866.87206928 - 0.4\nAnswer: -23867.27206928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 11. Let p be a(8). Suppose n - p*n = -4*q + 2, -4*q + 11 = n. Suppose -n*u - 3 = -s, 5*s - 1 + 2 = -u. Solve 0 = w - s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p - 1. Let h(w) = -3*w**2 + 5*w - 5. Let s = 11 - 10. Let z(k) = s*h(k) - 5*q(k). Let x(i) = 3 - i**2 - 3. What is z(x(u))?\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36238)\/(-2)*(207 - 200) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1193800 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/5 - 4*d**2 - 59*d\/5 + 16 = 0.\nAnswer: -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 345, -2, -2\/15, -22.9 in descending order.\nAnswer: 345, 1, -2\/15, -2, -4, -22.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1591603 and 5.\nAnswer: 7958015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 189815\/16 - 3\/1. Let h = v + -11855. What is the common denominator of h and -125\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83333\/495732 - 64\/379. Let l = 9447\/436 + u. What is the common denominator of -15\/4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12905 = 2*l, 0 = -3*z + l + 28160 + 10576. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Suppose 2*d - 10 = -3*d. Let m(b) = b**3 + 7*b**2 + 7*b + 8. Let l be m(-6). Let y(p) = 5*p**l + 2*p**2 - 4*p**d. Determine y(j(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36655386 divided by -6.\nAnswer: 6109231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57338 (base 14) in base 6?\nAnswer: 4313050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j - 8. Calculate the remainder when r(-3) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3 + (-207905)\/(-35) - (10\/5)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/((-27)\/3). Which is the third smallest value? (a) -0.2 (b) j (c) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17386 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/352 and 143\/19139680.\nAnswer: 210536480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15448 * -2.\nAnswer: -30896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 6*k - 10*k + 5*k**2 + 0*k**3 + 11 - 3*k**2 - 13 - 2*k**4 to h*k + r*k**2 + u + a*k**4 + g*k**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 842956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f + 12 = 4*q, 5*f - 20 = 0. What is the smallest value in -0.5, 0.05, q, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102914 (base 10) in base 3?\nAnswer: 12020011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = -6*a - 65*a + 1428 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88381100411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2378976 and 23592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*u + 2*q, 8*q + 1 = -2*u + 9*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -95.17. Put r, -2\/13, 1 in ascending order.\nAnswer: -2\/13, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-4 + -5) + 0. Suppose o - 16 = -r + 3*r, -44 = -3*o + 5*r. Solve f*d + b = 4*d + 23, -o = -2*d - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*v + 48984 = 10377 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 444 - 380. Let p = d - 80. Is 2 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 425.62553 + -425.9. What is b rounded to three decimal places?\nAnswer: -0.274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.61, 428, -0.9 in descending order.\nAnswer: 428, 2.61, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 19*j**5\/60 + 123*j**2 + 2*j - 18. Let c(s) be the first derivative of f(s). Let g(u) = 12*u. Calculate c(g(b)).\nAnswer: 2736*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4\/3 - 52*m**3\/3 - 1622*m**2\/3 + 1672*m\/3 = 0?\nAnswer: -19, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 171 - 159 = 0. Which is the nearest to -0.2? (a) -3\/5 (b) z (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12213013 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186707?\nAnswer: 3, 449, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.7 - 2.7. Let o = 107\/5 + -21. Which is the nearest to o? (a) j (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssesyyyyeeyyeyseye. What is prob of sequence ysee?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 8) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2257238 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101000101111011 (base 2) in base 9?\nAnswer: 531136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46345*s**3 - 694247.\nAnswer: 139035*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g + 136. Let u(b) = b + 1. What is d(q) + 2*u(q)?\nAnswer: -q**2 + 3*q + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -11. What is the nearest to 0 in u, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/8 - 70*u**3 - 3*u + 275. Factor z(q).\nAnswer: 3*q*(q - 280)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73893.8055 rounded to the nearest 1000?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 12) to base 10\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -1\/8, -0.5, 10, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 8. Let k be r(-12). Suppose -k*w = w. Let j(p) = p**2 + p + 11. Determine j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/4)\/((-48)\/(-1128)). Calculate the highest common factor of 1081 and g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2987, 5315, 7643?\nAnswer: 9971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.604 and -670.49 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178660857?\nAnswer: 3, 19, 73, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19690 and 2870802.\nAnswer: 14354010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89639051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4012 is divided by 161.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 3*y - 11. Let r be g(-10). Let x = 86 + r. Let l be (-280)\/x - 4*1. Is 0 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8cc86 - -5?\nAnswer: -8cc81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -31. Let l = 166 - c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 9*x - 37 + 21. Suppose 15 = -3*y, 2*y - 4*y - 18 = -2*j. Let z be k(j). Is z smaller than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -20*n**3 - 30572*n**2 + 53953672*n - 21576576 = 0.\nAnswer: -2576, 2\/5, 1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 3*p**5 - p + 0 - 2*p**5 + 0 - p**3 - 2*p**5 + p**3 - 2*p**5 + p**5 + 3*p**5 + (3*p**3 + 0*p**3 - 5*p**3)*(2 - 2 - 2*p**2) - 2*p**5 + 4*p**5 - p**5.\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 351383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -2*g**5\/135 + 77*g**4\/216 - 5*g**3\/6 - 3*g**2 - 170. Factor h(q).\nAnswer: -(q - 9)*(8*q - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1132*y - 3. Let u(q) = q. Determine h(u(w)).\nAnswer: 1132*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-9 + 3) + 1201 + -1. Let s(i) = y*i + 112*i**2 - 1198*i. Let g(w) = -2*w**2. Determine g(s(k)).\nAnswer: -25088*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 21 (c) 4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.0532.\nAnswer: 0.02128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:43 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -537907 divided by 5?\nAnswer: -537907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 204567?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 10) to base 11.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56269 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597997 is divided by 9492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 - 8*m**2 + 9*m + 9. Let w(v) = 7*v**3 - 17*v**2 + 18*v + 19. Let d(t) = -5*h(t) + 3*w(t). Let c be d(10). Solve 0 = -c*r + 4 - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/550*5)\/((-9)\/15)*38\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37581587263 + 3.181.\nAnswer: 37581587266.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -473 + 1181. Suppose -g = 2*s - 23, 5*g = s - 0*s - 17. What is the greatest common factor of s and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46179 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6691 + -6591.49. Let f = -100 + k. What is f rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 = -1634*j + 1665*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1492\/8 + 1\/(-2). Suppose 3*x + 2*x + 3*k = b, -5*x = 4*k - 188. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10616561 - 0?\nAnswer: -10616561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + t + 3)*(-6 + 3 + 4) - 2 + 2 + 2*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 13*b**2 - 6*b + 32. Is 28 a factor of w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*t + 254*t - 6512 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6144)\/1152*(-15)\/(-54)*12\/20?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1615640296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247\/88 - -21\/8. Let o = 2.9 + -3. Let h be (-12)\/(-70) - (-4 - 125\/(-35)). What is the closest to o in -4, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -0.22. Let h = s + -0.32. Let u = h + 0.11987. What is u rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1319600*m**3 + 271246*m + 3 wrt m.\nAnswer: -7917600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 - 13*a**2 + 2 - 506*a**3 - 5 - 19*a**2 + 37*a**2 as u + f*a + w*a**2 + k*a**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 14.196357 minutes?\nAnswer: 0.23660595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1121 and 1357?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 375581104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhj when three letters picked without replacement from trjrwhwqhhwj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 253 - 193. Calculate the greatest common divisor of 18 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000158881592 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 64. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-27) + (-848)\/(-48) + 864\/(-8).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 7*j**2 + 5*j + 29. Let p(c) = 11*c**3 + 20*c**2 - 14*c - 87. Give -6*p(s) - 17*w(s).\nAnswer: 2*s**3 - s**2 - s + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -172*g - 4956. What is f(-29)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 121*s - 1652 = -77*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*s**4 + s**3 + 12563*s**2 - 82734*s - 148 wrt s.\nAnswer: -432*s**2 + 6*s + 25126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48976?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/17 - -13\/34. Let n = 125 + -119.1. Let q = n + -0.9. What is the second biggest value in q, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 2. Let k(f) = -45*f + 3. Determine 2*k(p) + 4*v(p).\nAnswer: -98*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938842863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4690766 days to seconds.\nAnswer: 40528.21824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2032 and -53.11.\nAnswer: 107919.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.172 + -0.408. Let r = -4.21 + z. What is r rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.55 + 0.05. Let w = z - -0.1. Let t = w + 0.1. Which is the third biggest value? (a) t (b) 2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2968 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 348986102 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 48*l + 1. Let m be q(-48). Sort 3, -3, 7, m, -1 in increasing order.\nAnswer: -3, -1, m, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 10. Let q be a(-7). Let w(f) = f**2. Let c(m) = -5*m**2. Let v(s) = q*w(s) - c(s). Let k(z) = -z. Give k(v(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12001087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 4. Suppose 25 = 5*f + 80. Let d(x) = 10*x + 21. Determine f*s(l) + 2*d(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1170 - 751. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14002860.2984 from 1.\nAnswer: -14002859.2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017a (base 16) in base 15?\nAnswer: 3d576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 4\/3*y**3 + 0 - 3\/2*y**2 - 50*y. Let h(z) = 40*z - 14. Calculate 3*h(p) - 14*v(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 339732*t**2 + 7223287104*t - 410624316432.\nAnswer: 4*(t - 42438)**2*(t - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - ((-2555)\/(-210) - -11).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/14*245\/(-1260)*10\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 + 157293*q**2 + 3934200*q = 0. Calculate q.\nAnswer: -25, 0, 52456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q - 0*q + 3*t, 4*q - 5*t = 20. Suppose l + 7*h + 5 = 2*h, 0 = 3*l + q*h - 5. What is the greatest common divisor of l and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + n - 19 = 0, 1177*n - 1178*n + 15 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1450 = 76*l, -573 = -5*l + 5*z - 463 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18)\/(sqrt(54)\/sqrt(6)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 4*h**2 + 4*h**2)*(0 - 2 + 4) + (2*h**2 + h**2 - h**2)*(-50 - 7 - 42).\nAnswer: -186*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 + -350. Suppose -13386 = 164*u - 95*u. Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275\/9268 - 2\/331. Find the common denominator of n and -55\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**3 + u**3 - u**3)*(-1 + 35*u - 25*u - 1) as o*u + s*u**2 + b*u**4 + f*u**3 + j and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - s - 9. Suppose m = 5*n - 15, 3*n - 3*m + m - 16 = 0. Suppose n*d - 13 = 11. What is the remainder when b(4) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-111)*(-1)\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d**3 + 5*d**2 + d. Let g(n) = -161*n**3 - 11*n**2 - 2*n. What is 4*g(h) + 9*i(h)?\nAnswer: 76*h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2 - (-59793)\/38. Calculate the highest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -42*b + 37*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o**2 - 3. Suppose -6*m + 43 = 7. Let j(q) = m*q - 9*q + q. What is v(j(u))?\nAnswer: -56*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 7. Let h(n) = -4*n**2 + 13. Calculate -9*g(c) - 4*h(c).\nAnswer: -2*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11475 - -105?\nAnswer: -11370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 12738*p - 4251681.\nAnswer: 3*(p - 4557)*(p + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 3. Let y(v) = 1. Let h(r) = r**2 - 5. Let a(s) = -h(s) - 6*y(s). Let j(t) = -6*t + 2. Let f(u) = q*a(u) + j(u). Determine f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-7)\/(-18))*15\/(-45) + 4290\/550.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**2 - 585*c - 2843. What is z(63)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106 or 529\/5?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -67. Which is greater: -4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19461167 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 1, d: 3, k: 1, h: 5, a: 1}. What is prob of sequence xd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*b**2 - 8*b**6 - 3*b**2 + 3*b**6 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-11))\/((w*(w\/(w\/w**(-6\/7)))\/w)\/w))**(-14\/5)\/((w*w**(-7))\/w*w*w*w**6*w*(w**1)**(2\/21)) assuming w is positive.\nAnswer: w**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.5466208 from 2.\nAnswer: 15.5466208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 143096*f**2 - 1001844*f - 858744.\nAnswer: 4*(f - 35781)*(f + 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 35, 3.\nAnswer: 3, 18, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 31826 - 6250. Suppose -4*o + 7*q + d = 9*q, 0 = 3*o + q - 834. What are the prime factors of o?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, and 1 y when three letters picked without replacement from {b: 2, y: 2, e: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.048 in 5, 14\/5, 2, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 12. Let q(l) = -9*l + 25. Let h(j) = -5*i(j) + 2*q(j). Let p be h(8). Suppose -c + p = -6. Solve 0*w = 3*w + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 66011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:41 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -8*u**6\/15 + 8*u**5\/5 - u**4 - 4*u**3\/3 + 2*u**2 + 8*u - 6. Let f(l) be the first derivative of w(l). Solve f(h) = 0.\nAnswer: -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, 48, 146, 248, 354, 464?\n\"Answer: 2*d**2 + 88*d - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8 - -1154?\nAnswer: 107a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.299 and 0.066.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/2673, -1\/2, -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/2)\/j*j**(1\/6))\/(j\/j**6*j**(1\/5)))\/(((j*j*j*j*j**(2\/11)*j)\/(((j**(-5)*j)\/j*j*j*j)\/j))\/(j**(-2\/7)\/j**(-4))) assuming j is positive.\nAnswer: j**(-3466\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -67*p - 88. Let v(h) = -66*h - 87. Let x(m) = -5*s(m) + 6*v(m). What is the derivative of x(a) wrt a?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 + -304. Put -3, 4, i, 1 in descending order.\nAnswer: 4, 1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23154966?\nAnswer: 2, 3, 1286387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, and 1 j when three letters picked without replacement from jljqlyi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + 16 + 3 + 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o. Let i(j) be the third derivative of j**5\/60 - 5*j**3\/6 + j**2 - 158*j. What is i(x(r))?\nAnswer: 49*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 - 309*j - 1248. Let r be c(-34). Solve -4*i**2 + 0 + 1\/2*i**3 - r*i = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) - (sqrt(209) + 1*sqrt(209) + sqrt(209)))*-2)\/(((sqrt(231) + sqrt(231)*-3)\/sqrt(7) - sqrt(33))\/sqrt(3)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (11 + 4)) + 7 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 151b91544 + 2?\nAnswer: 151b91546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*x + 6. Let g be (x\/(-5)*3)\/(-1). Let d(j) = j**2 + 4*j - 5. Let i be d(-5). Is i <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 825 divided by -83\nAnswer: -825\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 - 306. Let z = f + 128.832. Let p = 1.588 + z. What is p rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92.814 + -54.635. Let d = -56.907 - f. Let q = d + 95. What is q rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 5 - -10) + (5 - -3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(((-1)\/2)\/(0 + -1)). Let j = q - -19. Let z be j - 1 - 19\/(-4). Which is the third smallest value? (a) 1\/7 (b) 1\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 145, 302, 515, 784?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/3 - 53248*m\/3 + 195404.\nAnswer: -4*(m - 11)*(m + 13323)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-9) + (-1862)\/735.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7070092485 take away 2287?\nAnswer: -2280.2929907515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 474. What is the second derivative of -15*j**2 + 280*j - y*j - 25*j**2 wrt j?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m + 26928 - 26928.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.3, -29.\nAnswer: -29, -10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1300) - (sqrt(1300) - (2*sqrt(1300))**2)).\nAnswer: 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*m - 307*m + 118*m + 118*m - 897 = 0 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 2193.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let w be h(-2). Is w - (0 + -144 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06071 + -77.93929. What is the fourth smallest value in -0.13, -3\/2, -4, r?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1134, 2264, 3372, 4452, 5498, 6504, 7464, 8372?\n\"Answer: -y**3 - 5*y**2 + 1152*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3038 and -73\/392.\nAnswer: 12152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*y**4 + 665 + 504*y**4 - 183*y + 183*y wrt y?\nAnswer: 1968*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - 2 - -2154*(-7)\/(-14)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*f - 6*f + 9*f in the form r + x*f and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:46 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 7*k - 58. Let h be i(-5). Let c(f) = f**2 - f + 2*f - 3*f**2 - h*f**3 - 4 + 0*f**2 + f**3. Let y(v) = -2*v + 5. Let g be y(4). Give c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -98*m - 10*m**3 - 1\/2*m**4 - 63*m**2 - 40. Factor g(i).\nAnswer: -2*(i + 1)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51.9 and -1465.764.\nAnswer: -76073.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -13. Is 24 a factor of 2*x\/(-1)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52131.18 months to decades.\nAnswer: 434.4265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(272) + sqrt(17))**2 + sqrt(136)\/(sqrt(8) - sqrt(32)) + -1*sqrt(425) + sqrt(17) + ((sqrt(153)*1)\/sqrt(9))**2.\nAnswer: -5*sqrt(17) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56601)\/(-114) - (6\/4)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -41*g**3 + 5*g**2 + 11*g + 11. Let i(c) = -8*c**3 + c**2 + 2*c + 2. Determine -11*i(v) + 2*r(v).\nAnswer: 6*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-5848)*-43*(2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5067)\/(-32654))\/((-6)\/(-29))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/361 < 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 306\/(-60))*-6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**4 - o - 734?\nAnswer: -4*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194*d - 30516 = 117*d - 360 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 5*d**3 + 18*d**4 - 4*d**4 + 49*d**2 - 49*d**2 + (3*d**4 - 4*d**4 - d**4)*(4 - 2 - 5).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**3 + 6*c**2. Let s(w) = 15*w**3 + 5*w**2. Give 5*a(v) - 6*s(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3080 - -120122\/39. What is the third biggest value in -1, 16, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 117\/(-12) + 9\/(-36). Let p(l) = l + 19. Let j be p(i). Solve -36*d + 0*d**2 + 38*d - j*d**2 = 0 for d.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 384562.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -3.8. Put 0.1, 3, n, -0.1 in descending order.\nAnswer: 3, n, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 145 = -3*o - 0*o, -2*g - 4*o = 140. Let z = g + 404\/5. What is the third biggest value in 3, z, 1\/8, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 16*s**2 - 15*s + 35. Calculate w(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 12*y - 3*y - 8*y. Let j(l) = l**2 - 1. Let b(c) = 3*c**2 + 2. Let p(k) = 5*b(k) + 10*j(k). Calculate p(s(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6415552 and 701701.\nAnswer: 44908864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -190*x + 189*x + 2. Solve 2*h + 2*h - 20 = 5*c, -5*h = x*c + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10102831, -20205650, -30308471, -40411294, -50514119?\nAnswer: -60616946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4778562 is divided by 239?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.1 - 8. Let f = 34\/105 - 4\/21. Let d be (2 - 3\/5) + -1. What is the nearest to d in -6\/11, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 6) in base 9?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + 0.6. Let d = y - 4. Put d, -2\/3, 0.2 in ascending order.\nAnswer: d, -2\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/19)*o)**(-5)\/(o**(-18\/13)*o)**(-37) assuming o is positive.\nAnswer: o**(-4555\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 88?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 716757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13098785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -808 - -2426\/3. Determine u so that 4\/9*u + 10\/9*u**5 - 14\/9*u**3 - y*u**4 + 2\/3*u**2 + 0 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 79463157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + f)*(2*f**4 - 2*f**3 + 2*f**3) + f**5 + 8*f**2 - 8*f**2.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 7, -4, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 p when four letters picked without replacement from pzuuzupp.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42)*-5)\/(100\/4560*19)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107823864.\nAnswer: 2, 3, 1361, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417357 is divided by 3005.\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2*w**3\/3 + 15*w**2\/2 - 22*w + 15. Let h be f(-9). Suppose o + 2*z - 92 - 17 = 0, -505 = -h*o - 2*z. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.571*1.4481.\nAnswer: 0.8268651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40060*g**3 + 40064*g**3 + 88883 - 88880.\nAnswer: 4*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 54 + 29 = 0. Let a(y) = -y**2 - 3*y + 1. Let c be a(-4). What is the least common multiple of (-31)\/c - i\/15 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 + 0*k**2 - 3*k**2)*(-4 - k + 4)*(-5 - 3 - 6) to c*k + d + f*k**2 + i*k**3 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*l + 33, 0 = 21054*l - 21080*l - 5*y + 169 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 3) + 0 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8081859*c**3 - 7814355 wrt c.\nAnswer: -24245577*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2775810 divided by 5.\nAnswer: 555162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130369.3 decades in centuries?\nAnswer: 13036.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11563 = 5*q - 57821, 3*s - 3*q = 52011. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -25*a + 84. Let z = 1 + 8. Suppose -5*g + z = -1. Solve 0 = -j - g*j - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55195 and 159833681.\nAnswer: 799168405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(18\/7)*z**9 assuming z is positive.\nAnswer: z**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 2, u: 1}. What is prob of sequence ua?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1840 and 136236245.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -18, 0 in descending order.\nAnswer: 5, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23097.2388 rounded to the nearest one hundred?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 - 6*u + 3. Let z be h(6). Suppose o + 49 = z*o + 5*w, -w = -4*o + 87. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(9\/(-4) + (-2)\/(-8)). What is the third biggest value in -0.1, -5, z, 0.13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7 = -5*a + 10, -2*a + 1 = 5*u. Let o be (-8)\/(-208908)*a - 0. Let w = -1862807\/382998 + o. What is the common denominator of w and -59\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190898 is divided by 31811?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/4)\/k*k\/k**(7\/3)*k*k**(-2)*k*k\/(k*k**(-8\/3)))**(7\/4) assuming k is positive.\nAnswer: k**(217\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 3*m + 49 = 36, 5*f - 19 = 3*m. Suppose 3*y - 50 = -2*y. Let n = 16 - y. Solve -a + f = n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*l = 3*k - 22, 3*k - 14 = -l. Suppose 64 = -5*g + 19. Let o = g - -4. Sort 3, o, k in increasing order.\nAnswer: o, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/60480 - f**6\/2160 - f**5\/60 - f**2. Let d(a) be the third derivative of o(a). Factor d(q).\nAnswer: (q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1521 = 10*z - 7*z + 5*n, 2*n + 1010 = -2*z. Is 11 a factor of z\/(-3) - (4 - (-77)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2427, 9781, 22037, 39195, 61255?\nAnswer: 88217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1070 - 1065. Solve -w + 4 = -m*t - 9, -3*w = 3*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6797176 and 535394?\nAnswer: 156335048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d\/(d*(d*d**(-2\/7)*d)\/d)*d*d*d)\/(d\/(d\/(d*d\/d**1)))**(2\/15))**(1\/42) assuming d is positive.\nAnswer: d**(121\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 180556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -5.9.\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 123, 155, 189, 225, 263, 303?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*o**2 + 282*j**3 - 2*j + 37*o**2 - 5*o wrt j.\nAnswer: 12*j*o**2 + 1692*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide (510\/160 - 4\/(-64))\/(2\/3608)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 15*v**4\/8 - 4*v**3 - 51*v**2\/2 - 22*v + 1. Let z(h) be the first derivative of d(h). Differentiate z(w) with respect to w.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*k**4 + 6*k**3 - 3542*k**2 wrt k?\nAnswer: 3648*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/13522279 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 a factor of 228398982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) - 949\/(-2). Suppose -3*p + s = 2*l + 3*l, -2*l - 740 = -5*p. Suppose p = 4*o - 34. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-187 - (49 + -151))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -22, -5, 12, 29, 46?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 6426\/315 - (-91)\/15.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and 45976078.\nAnswer: 45976078.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7254*l**2 + 182*l - 66. Let b(v) = -14511*v**2 + 364*v - 151. Let f(s) = 3*b(s) - 7*j(s). What is the second derivative of f(m) wrt m?\nAnswer: 14490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) + (-3)\/48*4. Which is the closest to -93? (a) m (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945 - 6616 = -121*o - 554 + 3883 for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -141.74 in -0.3, 5\/2, 2\/7, 1\/6, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (447\/9)\/(2\/18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + 0 + -15 + (217 - 228)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406265 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*x - 81. Let h = x + 34. What is the common denominator of h and -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/59 + -67\/236. Is z at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -592 - -579. Let o(i) = -5*i**2 + 8*i + 7. Let h(x) = 10*x**2 - 17*x - 15. Give r*o(j) - 6*h(j).\nAnswer: 5*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 4)*(525 + 95 + 84)*(1 - 1 + 2*n)*(0*n**2 - 2*n**2 + 0*n**2) to g*n**3 + c*n**2 + s + r*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.017198 - -299\nAnswer: 298.982802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*p = 51292 + 60797 - 33713 for p.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3299, -6596, -9893?\nAnswer: -13190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.03093 tonnes in grams?\nAnswer: 8030930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.85 and 0.4.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94514045 a multiple of 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**3 - 44*p**2 - p + 131. Is w(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b + 51. Determine n(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -348 - -349. Let h be ((-4848)\/30)\/(y\/(-100000)). What is h rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g. Let h(b) = -391*b. Calculate h(l(z)).\nAnswer: -1173*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/6))\/d)**45*d**(1\/12)*d**6 assuming d is positive.\nAnswer: d**(163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h**2. Let o(y) = -10*y**2. Determine l(o(d)).\nAnswer: -2100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 99*x + 2*x**2 + 102*x + 2*x**3 + 96*x + 2 - 290*x + 7*x**4 to the form j*x**4 + f*x + w*x**2 + m + q*x**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.5, 6, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 869600 rounded to the nearest ten thousand?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 44660.4419 to the nearest 100.\nAnswer: 44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5147*h**5 - 56*h**2 - 79*h.\nAnswer: 308820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170 - -169.99999892. Round k to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 49*a - 1036. Calculate o(65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/9 - 46*x\/9 - 100\/9 = 0. Calculate x.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 2*s + 1. Let h(f) = 12*f**2 + 1 + 0 + 3*f + 10*f**2 - 25*f**2. What is -3*h(o) + 5*u(o)?\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 4*d**2 + 3*d**2 - 4*d + d in the form k*d + n*d**2 + u and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.223 + 4.223. What is the second biggest value in y, 3\/5, -1\/13, -5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 4*x**2 - 5*x - 3. Suppose -48 = -51*y + 35*y. Let p(o) = 2*o**3 + 3*o**2 + 5*o + 2. Let j(n) = y*m(n) + 2*p(n). Give j(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*w = 2, 14 = a - 8*w + 4*w. Let t(h) = h**2 + h + 1. Let m(j) be the second derivative of -j**4\/12 - 4*j + 877. Give a*t(g) + 4*m(g).\nAnswer: -2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1892\/5 + 128441\/340. What is the common denominator of b and 46\/11?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23436 + -23435.84473. Let d = q + -0.154. What is d rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - t + 2*t + 12 = 0, 4*t = -3*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:09 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by -26\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 19*j + 6. Let l(f) = -39*f - 13. Let q(w) = -6*l(w) - 13*r(w). Let g(y) = -2*y. What is q(g(m))?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 51, 82, 113?\n\"Answer: 31*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13918, -55670, -125256, -222676, -347930, -501018?\nAnswer: -681940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314 = 14*n - 722 + 268 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12586 (b) -10 (c) 0.2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1576\/(-1182))\/(2*2\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*j + 28 = 0, -1004251 = -4*j - 1004243 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 35012*p + 8453*p + 21872*p.\nAnswer: 65337*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 24*h - 38. Calculate the remainder when y(-7) is divided by (-20)\/(-6)*(-9)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let r be 38 - ((-2 - 0) + 3). Suppose r = a*m - 67. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*z + 5*t, 3*z + 163*t - 168*t = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/9 + 226974802*x\/9 - 75658268\/3 = 0.\nAnswer: -113487402, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -34\nAnswer: 23\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7330 = 1959*r + 1453 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 411 - 354. What is the remainder when z is divided by ((-8)\/10)\/((-2)\/75)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 5*p + 30444*p**2 - 30462*p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 51 + -3 + (3 - (-38 + 8 - -31)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(720\/75) - -1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 + 1. Let d(l) = 54*l**3 - 3709*l + 3707*l + 6 + 0 - 64*l**3 + 8*l**2. What is -d(o) + 8*u(o)?\nAnswer: 18*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -79*f**2 + 9*f - 8. Give y(1).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 9 = -11*h. Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134741\/4146 - -2\/2073. Find the common denominator of w and (-24)\/(-3) + -107*4\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from oioqcoacqcom?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 3 + -93*(5 + (-80)\/15). Sort 0, 3, -1, u in descending order.\nAnswer: u, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) -3192 (c) 1\/5 (d) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -72, -167, -336, -603, -992, -1527?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 5, 213, 68, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 421*f - 23866. Determine z(52).\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 7\/5*l**5 + 0*l**3 + 0 + 15*l + 1\/12*l**4 + 0*l**2. What is the remainder when 55 is divided by a(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - s = -3, 2*f - 23 = 144*s - 147*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -20. Let c = 76 - q. Calculate the greatest common divisor of c and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f*t**2*z**2 - 271667*f*t**2 + 159*f*z - 4*f + 6*t**2*z**2 + 91*t*z**2 - 3*t wrt t.\nAnswer: 10*f*z**2 - 543334*f + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = -3*a, 6*a + 4 = 4*d + 2*a. Suppose -2*w + 10 = d*j, -w - 3*j = -7 + 2. What is the third biggest value in w, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 + 1279*v**2 + 317*v + 698. What is o(320)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -91, -149, -235, -355, -515, -721, -979?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 15931336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -517648.61 rounded to the nearest one hundred?\nAnswer: -517600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efdyyds. What is prob of sequence sddy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 2462902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 146 + 124 = b. Solve -7*m + b = 39 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6 - 6. Suppose -3*q = -3*p + 58 + 197, j*q = 5*p - 427. Is (-4)\/(12\/(-9)) + p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -8.7318?\nAnswer: -8.7318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*k**2 + 106 - 2486*k + 2486*k + 3*k**3 wrt k.\nAnswer: 9*k**2 - 146*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -858 - -957. Calculate the remainder when f is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6387411 and 16017.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8192 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -60, 116, 522, 1188, 2144, 3420?\nAnswer: 5046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/156 and -61\/79768.\nAnswer: 239304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 1923*x**4\/2 + 5165*x**3\/3 + 731*x + 1. Find the second derivative of n(r) wrt r.\nAnswer: 23076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96081 minus -2?\nAnswer: 96083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 + 0.02. What is the nearest to -0.02 in 0.4, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**5 + 50*w**2 - w + 52?\nAnswer: 60*w**3 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13648 + 0.088?\nAnswer: -13647.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -40)\/(1\/(-4)) + (-1188)\/81.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 22*s**2\/3 + 103*s\/3 - 42.\nAnswer: (s - 1)*(s + 9)*(s + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.708868 meters?\nAnswer: 708868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Let z be (1 + f)*1 + -4. Let j(m) = -11*m**3 + 1. Calculate j(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 1094?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 197 + -1 - (-56)\/(-14). Suppose h = -0*h + r. Let c = -94 + h. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91926617677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1134 (base 6) to base 7.\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204*a**3 - 8577*a**2 + 27162*a + 1215.\nAnswer: -3*(a - 3)*(a + 45)*(68*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v - 71*v**3 + 3*v**2 - 3*v**2 - 27*v + 73*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 14\/10)*(-10 - 10). What is the second derivative of u*g - 13*g - 1 + 6*g - 5 - 8*g**2 wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266820 and 3390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*z = -4*c - 11, z = 3*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 84*k - 390. Let r be g(5). Let o = -9.6 + -1.4. Let x = 7 + o. What is the second biggest value in 0, x, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from {b: 1, c: 1, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k - k**2 + 4*k**3 + 10*k**2 + 3*k**3 = 0. Calculate k.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 2*v**2 + 0*v + (-17*v - 14*v + 19*v)*(13*v + 0*v - 3*v)*(7 - 3 + 4) + (-2*v - v + 2*v)*(3 + v - 3).\nAnswer: -959*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 2149\/1316) + 5\/(-15) and 39\/68.\nAnswer: 9588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 52*d**2\/11 + 174*d\/11.\nAnswer: -2*d*(d - 3)*(d + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 + -272. Suppose 0 = -5*q + i*x + x + 153, -x - 31 = -q. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 15*u**4\/28 + 208*u**3\/7 + 1014*u**2\/7 - 912*u\/7 - 834. Factor r(b).\nAnswer: 3*(b + 4)*(b + 38)*(5*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*n + 10, 4*g - 2*n = -0*n + 14. Suppose y + 5*r - 25 = 0, g*y + 0 = 4*r - 20. Let q = y + 6. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 2*i - 4394 = -8*k, i = -3*k + 6595. Suppose 0 = -l + 4 + 10. Suppose -16*m + k = -l*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 18*o - 526. Calculate h(33).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.88 + -5?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 641 + 53252?\nAnswer: 54003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 divided by 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 14*n**2 - n - 12. Let f be x(-14). Solve f*k + 0*k = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvww when four letters picked without replacement from {v: 6, w: 12}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k\/(k\/((k**(-1\/13)*k)\/k))*k*k**(3\/14)\/k**5)**(8\/9) assuming k is positive.\nAnswer: k**(6652\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Suppose 3 = n, 25 = 4*s + n - 6*n. Let z(d) = -9*d - 6 - d + 4*d - s. Let f(w) = -w - 3. Let a(c) = 16*f(c) - 3*z(c). What is a(x(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*w + 285*w + p + 40 = 0, -4*w - 24 = 2*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 - 4*k**2 + 4*k**2)*(40*k**2 + 5*k**2 + 24*k**2) in the form u*k**3 + x*k + j*k**4 + s + t*k**2 and give j.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 1. Let m be d(-3). Suppose -5*f = q + 3*q, -2*q = -m*f - 26. Solve -10 = q*v - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932.775g in kilograms?\nAnswer: 0.932775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 21958\/7, -30, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1862a (base 12) to base 4\nAnswer: -20222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.501. What is r rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -1)\/(6\/(-4)). What is the common denominator of 33\/2 and 51\/10 + 1\/k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*s*z + 9*b*z + 91*s*z - s wrt b?\nAnswer: -s*z + 9*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**18)\/s**(-4)*s\/(s**(-2)\/s*s)*s**(-1) assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, 43, -1, -138, 5.\nAnswer: -287, -138, -1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-4 + -2)) + -1 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 - 7432*l + 29696 = 0 for l.\nAnswer: 4, 3712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 202638878*w**3 + 607916628*w**2 - 607916626*w + 202638875.\nAnswer: (w - 202638875)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31733756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 18*f**2 - 32*f + 6. Let k(g) = 295*g - 11489. Let m be k(39). Determine o(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -61?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - ((-4)\/(-26) - 428\/78). Let f be -1 - 3 - (-17)\/17. Which is the biggest value? (a) v (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 187263, 749274, 1685959, 2997318?\n\"Answer: 187337*o**2 - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 464246 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9844421, 19688819, 29533217, 39377615, 49222013, 59066411?\n\"Answer: 9844398*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, h: 3, y: 1, n: 5}. Give prob of sequence yhnn.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - 3) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.6 or 759?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 20 = -3*x, 6*s = -3*x + 2*s + 8. Suppose 0 = 3*p - 14 + x. Solve -p*l = 2 - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = -4*r - 5*x, -178 = -3*r + 7*x - 2*x. Let l = r - 275. What are the prime factors of (-30)\/105 + l\/(-7) + -1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66456309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 7:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -464756 (base 8) in base 16?\nAnswer: -269ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 0*u**2 + 0*u**2)*(0*u**2 + u**2 + u**2) + (u**2 - 3*u**2 + 4*u**2)*(-3*u**2 - 6*u**2 - u**2).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-0.4346\nAnswer: 0.0654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5926072, 5926067, 5926058, 5926045, 5926028, 5926007?\n\"Answer: -2*q**2 + q + 5926073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12*c + 6. Calculate n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -7, 0.\nAnswer: -7, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (38\/20)\/(16\/(-710)). Let d = -343\/4 - a. What is the common denominator of d and ((-1)\/8)\/((-5)\/(-154))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4741 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/30 - 221*w**2. Let a(d) be the third derivative of -7*d**4\/12 + 2*d**3\/3 - 46*d**2. Determine a(n(s)).\nAnswer: 28*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 3 - 3)*(2*n + 2*n - 6*n + (6 - 2 - 3)*(-2 + 2 - n) - 3*n + 5 - 5 - 8*n - 47*n + 14*n) in the form k*n**2 + o*n + g and give k.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*w + 12 = 51, 0 = -4*s + 5*w + 47. Let f(m) = -m**3 + 7*m**2 + 8*m + 10. Give f(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l + 110. Suppose -3*w - 5*v + 0 - l = 0, 0 = -v - 5. Let n be (6\/(-8) + 1)*(1 + 3). Which is the nearest to n? (a) 5 (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109720 (base 10) to base 16.\nAnswer: 1ac98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2578616*2.\nAnswer: -5157232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 857 = -313. Suppose 0 = 35*o - 9*o - p. Solve -o*g - 10 = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-3)*(-6)\/(-4). Suppose 3*t + m = 5*t - 9, -4*t + 25 = 5*m. Suppose -683 + 188 = -t*i. What is the greatest common divisor of i and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135534 is divided by 131020.\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137\/77 - -18\/11. What is the third smallest value in -1\/19, j, -0.5?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 5. Suppose -4*s = -o + 3*o + 14, -4*s - 19 = 3*o. Let z(x) = -6*x + 9. Give o*g(k) - 3*z(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.2694 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -4753.\nAnswer: 19012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 - 437. Let d = n + 286.6. Which is the nearest to -1\/4? (a) -2 (b) d (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose 2*p + 5*k - 5 = 0, l = 2*k + 2. Let t(n) = 3*n**2 - 7*n - 45. Let r be t(-3). Solve p*c + 7 = 3*g - 4*c, 2*g + r = -5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1066823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9.1 (b) 1\/5 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015763\/17 = 59750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p**3 - 11*p**2 + 6*p + 5. Let b(z) = -3*z**3 - 2*z**2 + z + 1. Let n = 330 - 341. What is n*b(o) + 2*l(o)?\nAnswer: o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17104, -122.\nAnswer: -17104, -122, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -2*p - 5*o, -606 = -4*p + 2*o + o. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -206, -688, -1634, -3200, -5542, -8816?\nAnswer: -13178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 4*c + 1. Let y be 0 - (1*-6)\/3. Determine a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from vhvavwhbbawv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/2*(-2)\/6. What is the nearest to m in 0.5, -0.4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5466.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4 + 4)*(2*i + 2*i + i)*(-4*i + 14 - 14).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 11 - 12)*(-4*b**2 - 4*b**2 + 3*b**2 - 2*b**2 + 4*b**2 - b**2 + (-4*b + 3*b + 3*b)*(1 - b - 1) + 2*b**2 + 3 - 3).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/5 (b) -20 (c) -1178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/540 and -32\/144260865.\nAnswer: 577043460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**10*b**(-31) assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9655 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 30. Let t = -4 + n. Calculate the common denominator of (t\/8)\/((-3)\/286) and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093, -1135, -1191, -1267, -1369?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9381\/4 + -2362. Let w = 17 + t. Let i be (-22)\/(-6) - (-6)\/18. Put i, w, 2\/17 in decreasing order.\nAnswer: i, w, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 0*g - 3*g. Let r be 56\/12 - 1\/(-3). Let x(z) = r*z + z**2 - 5*z. Determine b(x(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -2. Let w = r + 9. What is the second derivative of -w*d + 2 + 3*d - d**2 - 2 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898*t**2 + 188*t**2 + 705*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8320496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14022, -56100, -126256, -224490?\nAnswer: -350802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 1782*d**3 + 12440*d**2 + 26634*d + 15975.\nAnswer: (d + 1)*(d + 3)**2*(d + 1775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -40*w**2. Let b(i) be the third derivative of i**5\/12 - 24*i**2. What is c(b(t))?\nAnswer: -1000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y**2 + 605*y - 602. What is j(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269530 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*-6 - (-4 + 0). Is 2\/477 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5. Let b be y(0). Suppose 0 = 4*f - 3*k - 797, -45*f + k = -44*f - 199. Suppose 100 = b*z - f. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21052841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 4*c - 96, -4*c + 168 = 4*h. Suppose 4*p - 71 = -5*x, -3*x + 70 = 2*x + 5*p. What is the remainder when h is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let w = -1 - 0.2. Let v = 2.8 - w. What is the closest to 0.1 in 1, i, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxpppdxpdddddxd. What is prob of picking 1 d and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4700, 18756, 42182, 74978, 117144?\nAnswer: 168680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u. Let w(s) be the third derivative of -91*s**4\/12 - 645*s**2. Calculate w(q(h)).\nAnswer: -728*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - -81. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 15 = m - 5*v, -4*m - 4*v = 20 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -9.68. Round i to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6776 is divided by 618.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -11. Let y = o + 17. Suppose -y*u + u = 2. Are -2 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2358 - 2350875*n**3 + 1175434*n**3 + 1175440*n**3.\nAnswer: -n**3 + 2358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/493 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 9*j - 8. Let f be s(8). Let l be -3*(4\/(-6) - f). Let k(v) = -v - 2 + l. Calculate k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003408613 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387950 is divided by 2722?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 38*z + 43*z - 5, -15 = 5*s - 5*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -3*m - 150. Suppose 0 = -q + 4*p + m, -145 = -0*q - 4*q + 5*p. Solve -t + 0*z - z + 7 = 0, -4*z + q = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 215369 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 30. Suppose h*f - 5*f = 30. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 399*o**2 - 1. Let c(g) = 801*g**2 - 2. What is 4*c(f) - 7*m(f)?\nAnswer: 411*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v + 9. Let f(r) = -r**3 - 4*r**2 + 6*r + 2. Let c be f(-5). Let o be g(c). Does 17 divide 63\/(-6)*80\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 5*u + 1. Let t be n(-1). Solve 5*v - 2*v = t*j - 13, 0 = 3*v - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17148218?\nAnswer: 2, 439, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(637) + -3 + (sqrt(637) - (sqrt(637) + sqrt(637) + 1))**2 - 5*(4 + sqrt(637))) + 0.\nAnswer: -14*sqrt(13) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 60 = -4*q - 164, -o - q = -43. Suppose -4*k + 0*k = -8. Suppose -k*j - 12 = -3*j. Calculate the remainder when o is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2916048 or -27?\nAnswer: 2916048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*w - 2*q, 8*w = 7*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 213, 447, 749, 1119, 1557, 2063?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80\/221 - -14750\/1989. Let o be (26739087\/2052)\/(-23) + 10. Let n = o + 10650\/19. Find the common denominator of n and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*p - 45*p - 10*p**2)*(-2 + 2 + 1)*(-8 - 7 + 6)*(0 + 1 + 2).\nAnswer: 270*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:41 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1219*n - 2*n**3 + 6 - 3*n**2 - 2*n**2 + 1216*n to the form f*n**2 + z*n + b + d*n**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2716.5 + 2716. Let h(z) = z**2 + 5*z - 2. Let w be h(-6). Which is the closest to 2\/5? (a) w (b) v (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*h - 5932*h = 58040 - 8009 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160150 greater than 160149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d + d + (3 - d - 3)*(-3 + 1 + 4) + 0*d - 4*d + 3*d - 3*d + 2*d + 2*d - 2*d + 0*d + d + 0 + 0 - d + 2*d + 3*d - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24444, 46855, 69266, 91677?\n\"Answer: 22411*b + 2033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 3*k + 14*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -9*j**3\/2 - 85*j**2 + 19*j\/2 = 0.\nAnswer: -19, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 568*y**7\/21 + 303*y**4\/4 + 65*y**2 - 41*y. Find the second derivative of k(h) wrt h.\nAnswer: 68160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15926922 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Let a(x) = x - 2. Let m be a(b). Solve -w - 2 = -m*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/3002 + 63798\/16511. Calculate the common denominator of 41\/1794 and a.\nAnswer: 19734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + g + 30 = 3*l, g = 3*l - 23. Suppose 8 = l*y - 13. Factor -12*h**3 - h**y + 5*h**3 - 15*h + 3*h**3 + 20*h**2.\nAnswer: -5*h*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 31087361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five halves of a meter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416185634.\nAnswer: 2, 1361, 152897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8688 + -6915. Which is bigger: 8862\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f + 9. Let 8*z - 30*z - 14*z - 27*z**2 + f - 15 = 0. What is z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 39 = 9. Suppose -3 = -u + w. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120, 603, 1086, 1569, 2052?\n\"Answer: 483*o - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 585 - 135. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(71\/546 + (-8)\/52). Let g(q) be the second derivative of 0 - 6*q + 0*q**2 + 3\/70*q**5 + 1\/147*q**7 - 1\/35*q**6 - c*q**4 + 0*q**3. Factor g(v).\nAnswer: 2*v**2*(v - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 113721*k**2 - 42*k + 59. Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 2 - k**3 + k + 0 - 2*k to the form f*k**3 + n*k**2 + v*k + t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -9 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 4*n**2 + 0*n**3 + 0 - 1\/30*n**5 + 0*n + 19\/24*n**4. Find the second derivative of c(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5441*d**5*z + 2*d**5 - 12*d**2*z - 3*d**2 + d - 18 wrt d.\nAnswer: -326460*d**2*z + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18815 (base 16) in base 10?\nAnswer: -100373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 5*t + 5. Let f = -4 + 6. Let b(o) = o**2 + 5*o - 5. Let y(i) = f*j(i) + 3*b(i). Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 18*j = -3*z + 16, z = -5*j + 1. Solve 9 = 5*b + 4*l, 10*l + z = -2*b + 6*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/12)\/(1\/(-5)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 3. Let c(j) be the first derivative of j - 15. Give 4*c(b) - 2*l(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2204 and -55\/437?\nAnswer: 50692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 6 = 2. Let q(f) = 6*f. Determine q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5*(60\/(-14) - -5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 569\/21 + 38\/(-399). Calculate the highest common divisor of k and 342.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2 - 1187580*o - 70517312820 = 0.\nAnswer: -118758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127364.\nAnswer: 2, 531841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.298905 - -1.3. Round n to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozoczfpccnpzcof. Give prob of sequence pfcz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444596119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 2, o: 1, y: 2, a: 1}. What is prob of picking 1 y and 1 n?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3860 + 41*n + 204*n + 230*n + 3605 with respect to n.\nAnswer: 475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + sqrt(153) + 5)**2 + 4.\nAnswer: 48*sqrt(17) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*u - 359*u = -8865 - 2508 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10703, 21666, 32531, 43292, 53943, 64478, 74891?\nAnswer: 85176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 84888*n**2 - 169771*n**2 - 9*n + 9 + 84880*n**2. Let q(j) = -2*j**2 - 4*j + 5. What is -3*m(r) + 5*q(r)?\nAnswer: -r**2 + 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 9*w**2 + 6. Let d be i(-3). Let a be (d\/18 + 3)*2*3. Suppose 2*n - u - a = u, 4*n = -4*u. Let x(r) = r**2 - 6*r + 7. What is x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 2*a - 36*a**3 + 33*a**3 as r*a**3 + v*a**2 + m + h*a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 172186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.02 + 0.08. Let g = 0.4 - a. Is 1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 37, 0.3, 0.2, -1\/3, 2\/31 in decreasing order.\nAnswer: 37, 0.3, 0.2, 2\/31, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15763\/3 at least -5255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*k - 0*k. Let v = k + -15. Suppose 0*l = 5*l - v. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0 - 4. Suppose -5*q - 23 = -8. Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 11 + 1 = 0. Let f be (-8)\/16*(3 - 3). Let a be f + 4 - 1\/(-5)*-10. Solve 4*x - 4*g = -8, -o*x - a*g - 22 = 3*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*p - 280, j = 6*j + 25. Let m be ((p\/(-8))\/(-17))\/(15\/6). Solve -5\/4*o + m*o**2 + 3\/2 = 0 for o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 + 0 + 0)*((-4*l + l + l)*(-3 + 5 - 4) + 0*l - 3*l - 5*l) in the form m*l**3 + v*l**2 + d + i*l**4 + w*l and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2, 22*o - 8116 = 18*o + 2*i. What are the prime factors of o?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -16\/21*o**3 - 20\/21*o**4 - 2\/21*o**6 + 0*o**2 - 33\/70*o**5 - 1\/147*o**7 - 5*o + 0. What is y in v(y) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 13. Let l be r(6). Let i(t) = t + 5. Let o be i(l). Let j(b) = -b**3 + b**2 + b + 287. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007391854289 to 6 dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 1. Let t(l) = 12*l**3 + 12*l**2 - 108*l - 74. Let x(r) = 2*o(r) - t(r). Factor x(j).\nAnswer: -4*(j - 3)*(j + 3)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*w - y, 3*w = 5*w + 2*y - 36. Suppose 3*h - w = -h. Find the third derivative of 4*u**6 - h*u**2 + 5*u**6 - 4*u**6 wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**5 + 223620*u**3 + 4*u**2 + 5*u - 7162 wrt u?\nAnswer: 420*u**2 + 1341720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 17*f**2 + 8*f + 4. Let h be g(-16). Let s = h + 94. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -1.6. Let z = -1 + c. Are z and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1494.\nAnswer: -448.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2327361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 2*a**2 - a + 1. Let n(x) = x**2 + 18*x + 15. Let u be n(-17). What is o(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 10. Let o be y(-6). Let a = o + 11. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-630))\/((-6)\/(-14)). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -71*g**3 - 3*g**2 + 3*g - 1. Let x be m(2). Let t be (-5)\/(-45) + x\/(-9). Suppose -t = -s - 32. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231*h*k*x**2 - 2*h*k*x + 243*k wrt x?\nAnswer: 462*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f - 8. Let s(p) = 4*p**3 - 11*p + 31. What is -22*a(o) - 6*s(o)?\nAnswer: -2*o**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (0 - -2) - (-19 - (-6 + -27 + 4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -20. Let y = 24 + l. What is the biggest value in y, 0.05, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -5*t**4 + 34*t**3\/3 + 15. What is the third derivative of n(o) wrt o?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 67 = -5*x, 4*u - 7 = -5*x + 30. Suppose 69 = u*k - 9. Calculate the highest common divisor of 9 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10362 - -10361.7. Which is the second biggest value? (a) t (b) -10 (c) -14 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 12*f + 236. Give i(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.19281 and -35395.4?\nAnswer: 35395.59281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14e (base 15) to base 9.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/20349?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 412751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.933 - 0.1.\nAnswer: 19.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/12 + 29*f**3\/2 + 12*f**2. Let j be m(0). Let n = j - 39. What is the highest common divisor of 32 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2934 = 2*j - 3*i - 989, 0 = 3*j + 2*i - 5878. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.47465 times -0.09\nAnswer: 0.1327185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 1405471 = -3609480 - 3860027. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/306 and -55\/51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 1. Let g(j) = 3*j**2 - j - 4. Let c(q) = -2*a(q) + g(q). Let u be c(-2). Solve u*r = r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*t**3 - 82*t**2?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/7))\/r)\/r**(1\/10)*((r*r**(15\/7)\/r*r)\/r)**(-2\/13) assuming r is positive.\nAnswer: r**(-93\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/6*(-2 + -1). Suppose 2*l - 442 = -4*b, b - l - 13 = 96. Calculate the greatest common divisor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 2)*(458*i**2 + 530*i**2 + 200*i**2) to the form b*i + l*i**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -910058.17 and -0.4.\nAnswer: -910058.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*y + 110 + 274, 2*y + 512 = -4*o. Let x be 2\/5 - o\/5. Suppose 3*c - k + 5 = 19, x = 2*c - 4*k. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.54 + -6.\nAnswer: -26.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) -3\/2 (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/180*(-8)\/10. Do f and -0.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6120 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -12*k**6 - 206*k**2 - 1170. What is the second derivative of h(x) wrt x?\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 302 = 62*c - 76 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44, 76, 110, 146, 184?\n\"Answer: i**2 + 29*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -41*r**3 + 11*r**2 - 18*r - 65. Determine f(-3).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2665\/(-65))\/(-82)*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/75)\/(2\/922730) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41838099.000278 + 41838001. Let y = v + 98. What is y rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 + -16651?\nAnswer: -16650.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from pnplnppnppplpspp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1692, 4\/9, -334\/7.\nAnswer: -1692, -334\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16\/17 + 1577\/68. Find the common denominator of -79\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 i, and 1 v when four letters picked without replacement from {v: 1, e: 1, g: 5, m: 7, i: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5 - 1152*c**4 - 148590*c**3 - 6580632*c**2 - 18435447*c.\nAnswer: -3*c*(c + 3)*(c + 127)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31375*s + 30678*s - 50184 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001664738 rounded to 6 decimal places?\nAnswer: 0.001665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -60. Suppose 4*z = 8, -4*z - k = -4*c + 3. Suppose 15 = -5*s, 229 - 84 = 4*y - c*s. Solve -x - 1 = -3*p + 3, 3*p - y = -5*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 * 0.5\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3697800 divided by 40\nAnswer: -92445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/425)\/(((-6)\/(-4))\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-28)*1*(0 - 2). Let 2\/7*w**2 + 0*w - h = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -28. Sort -10, 0, v, -1 in descending order.\nAnswer: v, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.242 - -1.48382007?\nAnswer: 1.24182007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((799\/51 - -18) + -5)*6\/(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:53 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -27. Let r(k) = -2*k**4 - 5*k**3 - 16. Let m(i) = i**4 + i**3 + 1. Let p(v) = t*m(v) + r(v). What is the first derivative of p(x) wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/56, -1, 7238?\nAnswer: 7238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 - 6*n. Let v be a(6). Let t(l) = -47*l**3 + l**2 - 3*l + 2. Let c be t(1). Let s = c + 51. Solve v*m - m - s = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from szzzzsdszzdzzdssdd?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/(-160) - (3 - (1 - 0))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3 + 8*k - 11*k - k - 16. Let q(h) = -1 + 5 + h - 1. Let n(o) = -o + 9. Let f be n(0). What is f*q(a) + 2*r(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8712\/(-32))\/((-2)\/(-640)*-4). Round r to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 9, d: 6, e: 3}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 58 - 23 - 24\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39445 is divided by 39001.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/((-10)\/24 + 182\/(-728)). Sort 4\/3, 35, u, -0.03, 0.2.\nAnswer: -0.03, 0.2, 4\/3, u, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -16. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1423117 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4894\/(-11) + (3 - 1). Let x = 444 + b. Suppose 3*w + 0*w - 2*f = 5, -2*f = w + 1. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -5*c - 287. Suppose 2*u + 5 = 3*s, s + c*u - 1 = 4*s. Solve -15 = -s*z, 3 = 5*b + 3*z - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416576 is divided by 5629.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.3. Let o = 0.1502 - 0.5502. Let r = -111 + 2333\/21. Which is the third biggest value? (a) r (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -4*j - 3*l + 20, 2*j = -5*l + 3. Suppose 0 = -j*r + r + 12. Let d = 652 - 650. What is the remainder when r is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 3. Let p(n) = -n + 22. Let f(l) = -l**2 - 17*l + 44. What is the remainder when f(0) is divided by p(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 2*p + 0*p - 3*p + p**2 - 24054.\nAnswer: p**2 + p - 24054","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1\/2*i**2 + 2 - 1\/4*i**4 - 1\/3*i**3 + 45*i. Let d be l(0). Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(1*sqrt(5)) + sqrt(7) + (-1 + sqrt(567))**2 + sqrt(7).\nAnswer: -15*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*5*-5 - sqrt(34)\/(sqrt(2) + -1*sqrt(72)))**2.\nAnswer: 4233017\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 d when three letters picked without replacement from {o: 1, c: 1, x: 1, d: 2, m: 1, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 27. Let c(p) = p + 9. Suppose 24*o + o = 175. What is o*c(y) + 2*b(y)?\nAnswer: y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (21 + (-48 - 13) + 17).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/104 - 1\/4. Let y = 33\/92 - -9\/23. Let w = 2 - 3. What is the closest to -0.1 in y, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than -779096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6)*(-29)\/290. Let k(g) be the first derivative of -2\/5*g**2 - d*g**3 - 2\/5*g + 9. Determine v so that k(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2 - (-490)\/4 - (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -657*w - 4566. Calculate b(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001595392 to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -10 - (1065\/1136)\/15*428\/(-2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h + 147*h**2 + 1\/300*h**5 + 1352\/15*h**3 + 0 + 13\/15*h**4. Suppose p(r) = 0. Calculate r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3910231 by -10.\nAnswer: -3910231\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*d - 9 = 0, -6 - 6 = -h + 2*d. What is the second derivative of 8*t**2 + 2*t**3 - 8*t**h - 10*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 215228954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123605497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/786, 58\/5, -5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 13*z + 3*z**3 + 1 + 16*z**3 - 6*z**3 to the form b + y*z**3 + s*z + m*z**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 - 2*w - 2. What is n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**2*u**3 + 8*q**2*u**2 - 104*q**2 + 5*q*u**2 - 2*q - 10*u**3 + u wrt q?\nAnswer: -2*u**3 + 16*u**2 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/5635861 and 51\/1925.\nAnswer: 140896525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -2804560277?\nAnswer: 2804560276.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10222 + -10?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/1 - (-1)\/(-1). Suppose -a - 4*z = -0*z, -5*a = 4*z - 32. What is the remainder when (-250)\/l - 2\/a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2192*k**5 - 101*k**4 - 20*k**3 - 119*k**2 + 638*k + 4 wrt k.\nAnswer: 131520*k**2 - 2424*k - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*u - u - 4 = 0, 4 = 2*q - u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 44 = -4*v, -19 = -4*u + 5*v + 21. Suppose 0 = u*h + 30*h - 218385000. What is h rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 7.1183.\nAnswer: 16.37209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 12*f**2 + 1. What is j(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3011.4041 + 3016.6041022. Let o = 3204.2 - 3199. Let z = w - o. What is z rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -121*l + 212. Let g(h) = 111*h - 211. Let r(b) = -4*g(b) - 5*z(b). Find the first derivative of r(i) wrt i.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 195*g**3 - 17*g**2 - 2*g - 71. Let s(l) = -195*l**3 + 13*l**2 + l + 70. Let p(n) = -5*s(n) - 4*u(n). Find the second derivative of p(y) wrt y.\nAnswer: 1170*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 5. Find the second derivative of -10*s + j*s**3 + 8*s - 14*s**3 wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i - 10*i - 2*i**4 - 5*i + 11*i**2 - 10*i as s*i**3 + o + a*i**4 + n*i**2 + j*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddss. What is prob of sequence ssdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 2*h**5 - 4*h**5 + (h - 7*h - 2*h)*(0 + 0 - 7)*(h**4 + h**4 - 5*h**4).\nAnswer: -169*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60860, -62077, -63294?\n\"Answer: -1217*u - 59643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 62 = 3*i - 0*i, -3*x = i - 4. Let l = i - -5. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2*b*b*b)\/b)\/b)\/b**(-2\/15)*b**(1\/3)\/b*b**0 assuming b is positive.\nAnswer: b**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607 is divided by 74.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 4*s + 3. Let q be x(-2). Let r be 1 + (3 - (q - -1)). Let i = r + 5. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 199. Let o be (-13)\/((j\/33)\/(4\/6)). Which is smaller: o or -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 - -187. Sort -5, j, -32 in increasing order.\nAnswer: -32, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*n + 0*n = -11, 4*y = 4*n - 4. Let u be (25\/(-10))\/(-5)*(-12)\/14. Which is the closest to -0.1? (a) -2\/9 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1163212 (base 7) to base 6\nAnswer: -3114234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 224\/(-216) + ((-28)\/10*5 - -10)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3721 - -12?\nAnswer: -370d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -348.7 minus 1?\nAnswer: -349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17479235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8702*b**4 - 3619*b**3 + 2*b**2 + 105486*b - 353 wrt b?\nAnswer: -104424*b**2 - 21714*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from xkkvaaxkxkkkxajkk?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 - -2 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 - 0.09. Let z = 22.29 + -22. Let j = z - -4.71. What is the third biggest value in f, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*m - 2*m - 4 = 0, 3*m + 3 = 0. Is 1 + 3 - (-306)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 56*k**4 - 50*k**4 + 2*k**2 + k - 2*k**3 to the form c*k**4 + z*k + n*k**2 + y + x*k**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/40)\/((-2)\/30). Calculate the remainder when 179 is divided by (-2 + z\/(-8))*15*-4.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -5, 2, -4 in increasing order.\nAnswer: -5, -4, -3, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, 1 g, and 1 w when four letters picked without replacement from {e: 1, x: 1, w: 2, g: 1, i: 1, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d - 5*g + 26 = 0, -2*d - 3*g + 16 = 0. Let s = -2 + d. Suppose s = -0*r - r + 3. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320112 and 52.\nAnswer: 320112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -13344*i + 253540. Give p(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2686*c + 7. Is r(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 - 3*t**2 + 2*t**2 + 28*t**3 + 6*t**4 - 14*t**3 + 2 to i*t**2 + m*t**4 + u*t**3 + c + f*t and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.14 (b) -2 (c) -5 (d) -8894 (e) 4 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9198 divided by 2?\nAnswer: 4599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 4. Let s be a(4). Let i be -6 + 142\/14 + 35\/(-245). Calculate the highest common divisor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*p**2 - 3 + 3.\nAnswer: 310*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -232951149 at least -232951149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -19 + -16 - 21) + 17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 2*x**2 + 4*x + 1. Let m be v(-3). Let u be 6\/((-12)\/7) - 106\/(-212). Put u, 0.4, -5, m in increasing order.\nAnswer: -5, u, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.22 (b) 3 (c) -2 (d) 1 (e) 0.5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 85 = 7*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.1 (b) 31 (c) -0.052486 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 + 2*n**2 + 2*n. Let g be s(-6). Sort -1\/7, g, 1 in decreasing order.\nAnswer: 1, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 4, 1\/2, -0.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016592804 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**5 + 2*a**3 - 2*a**3)*(4 - 5 + 4).\nAnswer: 15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106111753?\nAnswer: 11, 9646523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10674 divided by -10674?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1)*1218\/17661?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/9)\/(-4)*(-60)\/(-40)*(-1659)\/14.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Suppose -17 - y = -5*q - d, 5*q + 2*d - 26 = 0. Let h(s) = -926*s + 4638. Let u be h(5). Solve u + 4 = q*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35709?\nAnswer: 3, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2231 or 33529?\nAnswer: 2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/2 - 26*k**3\/3 - 4*k**2 + 41*k - 228. Let o be h(-13). 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: In base 10, what is 152 + -1748?\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/56? (a) -4\/3 (b) 2\/9 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616491?\nAnswer: 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -5. Solve -4*l + q*g - 5 = 0, 2*l = -2*g + 5 - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 15*a + 2*l - 41 = 0, -5*a = -2*l - 63. What is the greatest common divisor of a and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 + 3*s + 4. Suppose -2*y + 14 + 14 = u, 0 = u - y - 16. Suppose -z - 3*n = 16, -11*n + u = -z - 15*n. Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 times 20141\nAnswer: -1873.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u + 3*u)*(-93 + 93 - 56*u) + (3 + 1 - 3)*(5 + 2*u**2 - 5).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = 0, 3*r - 3*d = d + 11767. List the prime factors of r.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 27*n**2 - 5*n + 6. Let j be y(1). Solve -2*q + q + 5*v = -j, -3*q - 1 = 2*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160567311 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 4 + j - 6 - 5*j. Suppose 2*g = -10, g - 2*g = -s. What is f(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-208)\/(-130))*4\/(-170)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 627.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 - c**2 + 3*c. Suppose -2*y + 3 = -3*y. Give v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.163*0.056.\nAnswer: -0.009128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -16*o + 132. Let u be w(8). Solve 7*f = u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.08 + 3. Let v = 4.92 - o. What is the biggest value in v, -5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6755.8 + -6974.80346. Let v = s - -219. What is v rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**7\/42 + 187*f**6\/120 - f**5\/12 - f**4\/8 + 17*f**3\/2 + 12*f**2 - 2*f - 3. Find the third derivative of w(j) wrt j.\nAnswer: -120*j + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 2.1 (c) -52 (d) -3\/5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**2 - 2. Let u(h) = 4*h + 11. Let n(z) = -z - 3. Let k(x) = 22*n(x) + 6*u(x). Calculate a(k(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/13 (b) -2\/7 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 5. Let w = -8 - -11. Solve -v - 4 = -w*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + z - 1. Let s be 14 + 3 + -1 + 1. Let d = s - 12. Let q be r(d). Solve 3*w = -0*w + 12, -2*c = q*w - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.54 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/20)\/((-18)\/(-132))*((-56)\/7)\/(-24).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37, -1, 1\/5, -9 in ascending order.\nAnswer: -9, -1, 1\/37, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13179\/4 - -3295. Let k(s) be the second derivative of 0 + 0*s**2 + 3*s - 3\/10*s**5 + s**3 - l*s**4 + 1\/10*s**6. Let k(c) = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3948168 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 344. Let d be i(-62). Calculate the highest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 302435?\nAnswer: 2721915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 1) - (-19 + 21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8166005.\nAnswer: 5, 1633201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1218 divided by 2\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 11 = -5*z - 2, -2*m = -2*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(574560\/(-16910)) - 1\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*p - 8, 4*n = 4*p - 6 - 10. Suppose p*d - 25 = -9. Factor 3\/2*u**3 + 1 - 3\/2*u - u**d.\nAnswer: (u - 1)*(u + 1)*(3*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -110001011001101011?\nAnswer: 110001011001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -323567584*5\nAnswer: -1617837920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 4*k - 4*k)*(6025 + 6153 - 11845).\nAnswer: -999*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3 + 16*r**2 - 21*r. What is the tens digit of o(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2*a + 0*a - 3*a + 2*a - 2*a - a + (-3 - 1 + 6)*(1 - 2*a - 1) + 0*a + 0*a - a + 0 + a + 0 - 3*a + 2*a + 0*a + (2*a - 2*a - 2*a)*(0 + 0 - 1)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5 = -9*y, -155*y - 2*f = -151*y - 4*f - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/120996679 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 91\/(-65)*((-34)\/204)\/(1\/15)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 231 + 231, -5*y = -2*j + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keepeecffknc. Give prob of picking 1 c, 1 p, and 2 k.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441.053m to millimeters.\nAnswer: 441053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-88))\/(((-2)\/44)\/((-25)\/(-200))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313180 rounded to the nearest one thousand?\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8579*l**3*t**3 - 2*l**3*t**2 + 69*l**3 - 21*l**2*t**2 - 3043*l**2 - 23*l*t**3 wrt l?\nAnswer: -51474*t**3 - 12*t**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*d**2 - 66*d**2 - 84*d**2 + 259*d**2 + 112*d**2.\nAnswer: 551*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -245 and -0.1082.\nAnswer: -245.1082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 1 + 4 + c - 9 + 2.\nAnswer: 13*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 2. Let r(z) = -4. Calculate 3*g(a) - 4*r(a).\nAnswer: 3*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -s - 5*c, -16*s + 20*s = -5*c - 21. What is the hundreds digit of s - -27*(-44)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/20 - n**4\/12 + n**3\/6 + 2*n**2. Let l be h(1). What is the second biggest value in l, -2\/13, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255940 and 23386040.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16491, -16493, -16477, -16443, -16391, -16321?\n\"Answer: 9*t**2 - 29*t - 16471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/54 and 8791\/(-300192)*20\/15?\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172066.54759949 - -1.\nAnswer: -172065.54759949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8256512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.13 in -1\/3, -0.53, 1.9?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5.7, 0.4, -5 in increasing order.\nAnswer: -5.7, -5, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128996 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2538 + 1248 - 1220*p**2 + 1290.\nAnswer: -1220*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + 38\/4. Let k = -16 + 14. Let i be 3\/k*20\/(-6). Solve -a = -0*q + i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 - 148. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 - 4*l - 10. Let d be t(-3). Solve 10*x + d = 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -109?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -20. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 47189 in descending order.\nAnswer: 47189, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 21*i + 27. Let z be v(-17). Let t = z - 92. Solve 0 = t*l - 4*l - 2*a, -2*a - 6 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 4209.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqqahhhhhqajqaqhqh. What is prob of sequence ahqq?\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*k*l**3 - b**2*l - 226*b*k*l**3 + 28*l**3 - 2*l**2 wrt k.\nAnswer: b**2*l**3 - 226*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 h when three letters picked without replacement from phzphzxhzppzkkkkzpcp?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.6 - 22. Let t = 107 + -109.2. Let r = t + 2.5. What is the closest to 2 in 6, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16 and 77\/1006550.\nAnswer: 8052400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 25*h**2 + 150*h - 1763. What is a(23)?\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 - 15*2\/(-72).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 23. Is 9 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210222 (base 3) to base 8.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 0)*3\/3. Suppose -3*f + 3*j = -0*j - 9, -5*j + g = 0. Suppose f*q + 2703 + 4097 = 0. What is q rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:11 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0926876042 rounded to three dps?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -1\/10 (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 2*b**4 + b + 3*b**2 - 3*b**2 + b**4 + 2*b - b**4 - 2*b + 3*b**4 + 0*b**4 - 4*b**4 + (3*b**2 + 2*b**3 - 3*b**2)*(b - b - 2*b).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/15*159\/1378.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174.4 + -194. Let v = a - -20. What is the nearest to -2\/5 in -0.1, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*t**2 + 28*t**2 + 0 + 30*t**2 + 4 as q*t**2 + r + w*t and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18683 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -90, -184, -316, -486, -694, -940?\n\"Answer: -19*j**2 + j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001303 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121056 from -3.073590832.\nAnswer: 121052.926409168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1272\/265*(-10)\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-45 - -40) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*c, 4*c = 17*u - 14*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 436101.\nAnswer: 436103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10442 - 10445. Which is the closest to -11? (a) j (b) 25 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 1071640290216?\nAnswer: 1071640290216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29469.08 * -69.\nAnswer: -2033366.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/64 and -199\/61200.\nAnswer: 244800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 14. Let g be o(-10). Let v be (g\/(-15) - -3)*95. Let w(k) = -v + 57 - 2*k. Let s(d) = 2*d**2. Give w(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214 and 16?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482720.\nAnswer: 2, 3, 5, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:23 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318818746*b**6 + 117243418*b**2 wrt b.\nAnswer: -38258249520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(3 - 6) + -2. Suppose 9 = u - 0. Let k = u - t. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 - 165. Suppose w = -5, z*a + 5*w = -a + 4131. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 159, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctpmccpppctpttt. What is prob of sequence ptpp?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 - -6 - (-1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -119. Let t = i + 62. Which is the nearest to 3? (a) 2 (b) 1\/8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -78664297+0.05225\nAnswer: -78664296.94775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t - 1 - 12*t - 13*t + 7*t in the form m + y*t and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382 at least as big as 4383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**2\/2 - 6. Let k(l) = -5*l**2. Calculate w(k(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 637431424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 13*n - 1683 = 882. Let o = 2 - 3. Let t be (-3)\/((-3)\/o)*-27. Calculate the greatest common factor of n and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:52 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142284, -569129, -1280536, -2276505, -3557036, -5122129?\nAnswer: -6971784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 310 + -305. Suppose -m + r + 29 = 0, b*m + 6*r - 5*r = 121. Let o = 2 + 11. Calculate the remainder when m is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 - -234.97. Let s = l - -0.93. Sort -11, s, -3, 1\/6 in increasing order.\nAnswer: -11, -3, s, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2. Let i(j) be the first derivative of -j**6\/360 + 4*j**3\/3 + 5*j**2\/2 - 58. Let n(y) be the third derivative of i(y). Determine n(v(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + 2. Let s = -13 + f. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 1:07 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -16) + -25 + (-10 - -8) + (6 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 31c8865?\nAnswer: -31c885c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134206 or 134090?\nAnswer: 134090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23b5b4 - 5?\nAnswer: 23b5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 + 18*d - 17. Let y(l) = 6*l**2 - 21*l + 17. Let c(o) = -4*y(o) - 5*z(o). Let m be c(4). Solve m*x + 5 = 10*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34987838 and 167150.\nAnswer: 6686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -12840 (c) 118\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2 - 3. Suppose -3*g - 4 = -4*j - 1, 3*g = j - 3. Let z be f(j). Sort z, 6, -1 in decreasing order.\nAnswer: 6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evarevvavveev. What is prob of picking 1 a and 2 e?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(63\/(-6))\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzmmmzzmmzmmmmmm. Give prob of picking 1 z and 3 m.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37069 is divided by 824.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -18.8\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 - 5311*k**2 + 21169*k - 11. Give b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.3 - 4548281.\nAnswer: -4548233.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-28)*4)\/((-135)\/20055). Which is smaller: g or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 127 + 359*g**2.\nAnswer: 359*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -104 + 111 - (12 - -1 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*h**3 - b**3*h**2 + 223*b**2*h**2 - 3131*b*h**3 - 2*b*h**2 wrt h?\nAnswer: -6*b**3 - 18786*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 32*l**2 + 351*l + 145. Calculate r(-11).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13341, 13509, 13805, 14229, 14781, 15461?\n\"Answer: 64*q**2 - 24*q + 13301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -6*v**3 + 34 - 614\/3*v + 310*v**2 = 0.\nAnswer: 1\/3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/1775178614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/6 - 6338*o**4\/3 - 1257599*o**3\/6 + 6338*o**2\/3 + 209600*o = 0. Calculate o.\nAnswer: -12576, -100, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 114949088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 12 = -35*h. Suppose 0*t = 5*y - 3*t - 9, 0 = t + h. Solve 4*b + 4*q + q + 20 = y, 12 = -3*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 991705.\nAnswer: 1\/991705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 72\/91?\nAnswer: 72\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 17 + 2. Suppose -c = j*c. Is -2 - (-8 + c + -2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-2*o + o + 0*o) + 5*o + 3*o - 5*o + 322*o - 149 + 149 + (2 - 1 + 0)*(-2*o + 2 - 2) - o + o - o - 5*o + o + 3*o.\nAnswer: 319*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43143, 44930, 46717, 48504?\nAnswer: 50291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.2. Suppose 37 = -4*o - 67. Let f be 0 + -3 + o\/(-8). Which is the closest to m? (a) f (b) -0.2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:00 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 3 + 7 + 12 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 4 + 5*(sqrt(300) + -1) + 2).\nAnswer: 16 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 57 + 64 = -5*q, 4 = u + 4*q. Let z be (-361)\/2 + (-3)\/6. Let x = 301 + z. Calculate the greatest common divisor of x and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5322752*x**2 + 1130*x - 1514?\nAnswer: 10645504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/3, -0.5, -0.1, -2, -1.8, -70?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+11\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 9. Let n(u) = 5*u + 8. Let s(v) = 2*f(v) + 3*n(v). Differentiate s(o) wrt o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z + 4110. Let c be t(0). Suppose 10*s - 4*s = c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**2 + 655 - 320 - 319 + 15*v. Is h(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 7*w - 2. Let h be t(3). Let d(x) be the first derivative of -x**3\/3 + x**2 + 2*x + 17. What is d(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 15*c - 54.\nAnswer: (c + 6)*(4*c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 8, 3*n - 2*l - 79 = 0. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 + 0*a**2)*(-4*a**2 + a**2 + 2*a**2) + (2*a - 2*a + a**4)*(0 - 2 - 1).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -294818.6 to the nearest 1000.\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-300)\/16)\/(-25))\/(240\/128).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549870000 rounded to the nearest 1000000?\nAnswer: 550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from ndnpqwdqnqqdwwxqnw?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1655896*h*t**2*v + 17*h*t**2 + 58927*h wrt v.\nAnswer: -1655896*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 48\/32. Suppose s = -5*g - d, 2*g - 7*g - 5 = 0. Suppose 3*k - s*c - 21 - 12 = 0, 0 = -4*k - 2*c + 66. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/43 (b) -2 (c) 1\/2 (d) 3\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 28688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -263580.9 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -1a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 20*h = 5*v - 85, 2*h = -5*v - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -21 + 5. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 291*m + 950. Let g be x(-3). What is the greatest common divisor of 4609 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 7. Let q(a) = -2*a + 15. Let l be q(y). What is the tens digit of (5\/2)\/(l\/(-98))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/s**(-2\/7))*s))\/(s\/(s\/(s**(6\/7)*s))))\/((s*s\/(s\/((s\/(s\/(s*s**(-7\/5))))\/s))*s)\/((s\/s**(5\/4))\/s)))**(-39) assuming s is positive.\nAnswer: s**(18681\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*f = -93*f + 78 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -300039, -1487 in decreasing order.\nAnswer: 5, -1487, -300039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-18) - (-25415)\/(-78). Let l = -329 - f. Let y = 0.3 - 0.8. What is the second smallest value in y, 1\/4, l, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118968 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1015, -1015, -1017, -1021, -1027, -1035, -1045?\n\"Answer: -z**2 + 3*z - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*c - 2 + 24 = 0, 2*s = -c + 11. Let y = 11 - s. Suppose -y*a + 300 = 4*r, 5*r - 2*a - 415 = 3*a. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*a + 322*a - 52 = -4*q, q - a = 20 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(32\/320)*5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007295144 rounded to five dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0*l**4 - 7\/3*l**3 - 23\/3*l**6 + 0 - 120*l - 4*l**2 + 0*l**5. Find the second derivative of t(q) wrt q.\nAnswer: -2760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.6, 4\/5, -0.05.\nAnswer: -3, -1, -0.05, 0.6, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -13d?\nAnswer: -13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13112 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3, x: 6, g: 3, k: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 90*n - 477. Calculate the remainder when 241 is divided by d(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*b**2 - 30*b**2 + 16*b**2 - b**3 - 2 as g*b**2 + n*b + s + h*b**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 5*l**2 - 20*l - 60. What is the remainder when (-3)\/2 + (-297)\/(-2) is divided by w(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 - 170. Suppose 48*v = 3*d + b*v - 3, -4*d + 5*v = -31. Solve 2*t - 4*s = 20, 2*t - s + d*s + 15 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let l = 112 - 75. Let n = 45 - l. Let j(m) = -12 - n*m + 9 + 4. Determine j(k(i)).\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(4212) - (sqrt(4212) + 0 + -1 + sqrt(4212)) - (0 + (sqrt(4212) - (0 + sqrt(4212)*2 + sqrt(4212))) + 4))**2.\nAnswer: 36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31388*r**2 - 62778*r**2 + 12698*r**2 - 10582*r**2.\nAnswer: -92050*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1. Let l(b) = -b + 7. Let u(d) = 2*l(d) - 14*r(d). Let f be u(-1). Let z(o) = 3*o + 2. Calculate z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143970.3463 rounded to the nearest 1000?\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/12 + 43*h**4\/24 - h**3\/6 + 172*h**2. What is the remainder when 31 is divided by m(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43982.2 + 39502. Let u = k - -4049. What is u rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-273)*(-43)\/(4472\/234).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4174, 3, -110, -6 in increasing order.\nAnswer: -110, -6, 3, 4174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**2 + 0*p - 54*p**2 + 0*p.\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2342 = -5*d - 3*l, 2*d - 3*l + 26 = 967. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22517?\nAnswer: 11, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q**2 + 13*q + 11. Let o(h) = 4*h**2 - 6*h - 5. Let n(g) = 7*o(g) + 3*t(g). Let u be n(3). List the prime factors of (-21)\/(-6)*(4 + u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/528*12 - (1 - 552\/220). Which is the second biggest value? (a) z (b) -4 (c) 4\/9 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbxllxlbl. What is prob of picking 1 x, 1 l, and 1 b?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/6*(-3)\/(-9)*15\/20\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714 + 860 + 908 = -3*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/28*1264\/6. Suppose -y - 2*y - 668 = -4*a, -a + 3*y = -p. What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54776482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)*4671\/(-6). Let h = q - 826. What is the common denominator of h and 3 - 83\/(-4) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s*v*w**4 - 3*s*v*w**2 - 55*s*v - s*w**2 + 1065*v*w**4 + v*w - 3*w wrt w.\nAnswer: 72*s*v*w + 25560*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6*u - 3*p - 21 = 0, -5238*u + 54*p - 35 = -5233*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -54. Let g(k) = k**2 + 5*k + 4. Let t be g(-3). Is ((-6)\/(-5))\/(t\/f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -6*c**5\/11 - 43*c**4\/11 - 62*c**3\/11 + 50*c**2\/11 + 48*c\/11 - 183. Solve s(k) = 0 for k.\nAnswer: -4, -2, -1\/3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -490126 + -3?\nAnswer: -490129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37041, -74089, -111141, -148197?\n\"Answer: -2*f**2 - 37042*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 119\/2 (c) 0.00787 (d) 2 (e) 1 (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -291, -2218, -7431, -17574, -34291, -59226?\n\"Answer: -274*w**3 + w**2 - 12*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 8*y**3\/3 - 4*y**2 + 7*y + 13. List the prime factors of n(3).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110613?\nAnswer: 3, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 11. Let y(p) = -11*p**2 + 4*p + 1229. Calculate y(i(x)).\nAnswer: -275*x**2 + 1190*x - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6068 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84919.76164 rounded to the nearest one thousand?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (5 - 4 - (2 - 5)). Suppose b + 4*o - 23 = 0, b - o = -y + 4. Suppose 155 = 3*u - b*w - 190, 5*w = 25. List 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 m = 7 + 0. Suppose -4*i = -m*i + 6, f + 12 = 2*i. Let r be 1\/4 + 3200002\/f. What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - (2 + (2 - 7)). Let w be (30856\/140)\/38 + (-18)\/10. Calculate the greatest common factor of w and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 46693.1718 and 41?\nAnswer: 46652.1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from zjdzzxjzjrdlxj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 5. Let f(d) = 3*d + 6. Let p(n) = -3*f(n) + 4*k(n). Let i(s) = 20 + 14 + 24 - 58 - s. Give 2*i(r) - p(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 792479999 = -4*k, 5*u = 4*k + 1155600802 - 363120797. What is k rounded to the nearest 1000000?\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-2)\/1 - -1) + 19. Suppose 2*f - 55 - k = 0. Let r = f - 34. Solve 3*d = -4*v + 19, 2*d - 8 = -v + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 9. Let z be t(13). What is the common denominator of -67\/4 and (-18)\/16*z\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 6. Let r = y - -8. Which is the closest to 2? (a) -2\/5 (b) 2\/17 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72361*f**5 + 511907*f**4 + 761370*f**3 + 54500*f**2 + 1000*f = 0 for f.\nAnswer: -5, -2, -10\/269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -32. Let l(r) = -5 + i + 1 + 4*r - 2*r. Let q(m) = -m - 1. Let n(z) = 9*z + 1. Let d(k) = n(k) + 5*q(k). What is 6*d(w) - 11*l(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 4*p**2 - 6*p + 1. Let k be v(-5). Let g be (1 + 1)*k\/4. Solve 0*s - 3*b = -g*s - 9, -s + 4*b = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/40 = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-6 - -2))*-17. Let w = q - 13. Solve -28 = -5*h - a - 3*a, w*h = -2*a + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -1\/144 (b) 0.06 (c) -0.041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*c - 107*c - 100*c + 4*c**2 - 119*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16261 and 253.\nAnswer: 178871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-2 - 3) - (-7 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = 2. Let i(x) = 2*x**2 - 3*x - 3. Let z be i(y). Suppose 67 - z = 4*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let f be (-1 - 28\/72*-2) + (-52)\/(-234). Let j(l) = l + 2. Let q be j(-4). Sort q, f, m in decreasing order.\nAnswer: m, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 10*b**2 - b - 11. Let l be h(-10). Let c be 0 + l + -1 + 2. Solve c = -q + 2 + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2436 - 76. What is the greatest common factor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + -18. Is y a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 - 13 = -3*w - 5*f, -2*w = f - 288. What is the least common multiple of w and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + a**3 - 80*a**4 + 25*a + 3*a**2 + 31 + 81*a**4 as f*a**2 + w*a + x + k*a**3 + p*a**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z**(-5\/6))\/(z\/(z**(-1)\/z)*z**(-8)))\/(z*z**(1\/8)*(((z**(8\/7)\/z)\/z)\/z)\/z)**(4\/5) assuming z is positive.\nAnswer: z**(1108\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -569 - 571. Is 38 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-6\/11))**(-17))**(-38))**(-38) assuming o is positive.\nAnswer: o**(-122740\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -21*o**5\/20 - 35*o**4\/6 + 70*o. What is the third derivative of s(c) wrt c?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 56*y - 36. Let g(j) = 2*j**2 - 19*j - 12. Let u(c) = -8*g(c) + 3*x(c). List the prime factors of u(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*v - 788*v + 1983 + 3693 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2) + -2 + 2. Suppose j = -2*h + 6*h + 11752. Let z = 9738 + h. Round z to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5526)\/15)\/(8\/(-20)). Let k = z + -607. Is (14 - 13)\/(2\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f - 3*r - 3 = 0, -15 = -5*f - 5*r. Suppose 5*z = f*z. Solve -3*x = -z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkzzxxjxzj. Give prob of sequence xxz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 30*v - 90. Let r be w(6). Differentiate -50 - r*z - 39 + 17 with respect to z.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*i + 122002, -u = -72*i + 67*i + 305005. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -7\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19778 by -22.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -1\/10*w**5 + 2*w - 1\/2*w**2 + 0*w**4 + 0 + 0*w**3. Differentiate f(z) with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-35) + 2\/7. Suppose y*c = c - 46. Suppose -4*w - 2*z = -0*w - 76, 0 = 2*w + 5*z - c. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9890 + 2*z**3 + 955 - 4*z**3.\nAnswer: -2*z**3 - 8935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5568848 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:52 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.15255l in millilitres?\nAnswer: 87152.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 + 490861*a**3 + 53*a**2 - 6*a + 479.\nAnswer: 24*a + 2945166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**4*y**3 + 15*d**4 + d**2 - 424*y**3 wrt d.\nAnswer: 12*d**3*y**3 + 60*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237 + -1893\/8. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 1, x: 1, l: 1, s: 2, o: 5}. Give prob of sequence kx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10496 in 0.1, -2.1, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-429)\/65 - (-2)\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015045613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313359495 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g - 21. Let s = g + -3. Solve -k + 3 = -2, -2*k + 22 = -s*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k + 0*k)*(-1 + 1 + 4*k)*(-2*k + k - k).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/3 + 7*h**3\/6 + 19*h**2\/2 + 2*h. Let y(n) be the first derivative of b(n). What is the first derivative of y(p) wrt p?\nAnswer: 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(224) + sqrt(14))\/sqrt(7) - (sqrt(2) + (-1 + sqrt(162))**2)).\nAnswer: -158 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 28. Which is the second biggest value? (a) -1\/5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (-4*(0 + sqrt(2736)))**2 - (sqrt(2736) - (sqrt(2736) + sqrt(2736) + 0))*2.\nAnswer: -43776 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 100*y**2 + 3*y - 5. Let t(p) = -202*p**2 - 6*p + 9. Give 7*m(q) + 4*t(q).\nAnswer: -108*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 34*u**2 - 64*u**2 + 29*u**2 + 2 + 12*u - 27. Let y be i(9). Solve 2*b + v = -5 - 1, v = -b - y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 70 = 4974. Let v = a + 833. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8484381?\nAnswer: 3, 942709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2 - (171220\/(-84) + 6\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 96 = -2*b - 13, 3*b = 9. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 11\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/893, -141.36, 1 in descending order.\nAnswer: 1, -1\/893, -141.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40071347, 40071348, 40071349, 40071350, 40071351?\n\"Answer: i + 40071346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 731657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -72248\/45 >= -1605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + 26*y - 110. Does 24 divide r(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291407 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11506 - 12570 = 76*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 5*r + 3. Let o = -9 - -13. Suppose 0 = -0*m - o*m + 16. Let s be 4\/(-14) - 750\/70. Let u(y) = 8*y**2 - 14*y + 8. Give m*u(i) + s*v(i).\nAnswer: -i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q. Let b = -1764 + 1758. Put -0.4, q, b, -1 in decreasing order.\nAnswer: q, -0.4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r - 35. Suppose -5*m = -228 + 78. Suppose 3*l - 3*w - m = 0, -4*w - 35 = -2*l - l. What is the units digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1981650\/281 >= -7052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30795 divided by -3.\nAnswer: 10265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 8)*(2 + 3 - 6)*(5 + 3*h - 5).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - 0.602.\nAnswer: 32.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:12 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 533 + -533.2. What is the second biggest value in -0.1, 2, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4\/7, -0.4, 1 in descending order.\nAnswer: 1, 0.2, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2339320*y**3 - 905089*y**2 wrt y?\nAnswer: -14035920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*x**2 + 72*x + 37*x**2 - 35*x - 47*x + 56*x**2.\nAnswer: 3*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - 0 - (-94 - -69 - -19)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(7\/(-189)*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 467 + 8509 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 10*n**2 + 11. Let j(w) = w**2 + 3*w. Let s be j(-5). Calculate the lowest common multiple of u(s) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1180 - 2274 + 1094 - 23690*m**2.\nAnswer: -23690*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*p*r**4 + 26*p*r**2 - 2*p wrt r.\nAnswer: 2472*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**27)**(-1\/62)*c**(18\/5)*c*c\/c**(-1\/25))**22 assuming c is positive.\nAnswer: c**(88737\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/(-273)*0)\/(-3 - -1). Let j = 89\/5 - 17. What is the biggest value in 1, j, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 111*k = 520*k + 4130 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = 13*x + 558 + 555. Solve x = -3*m + 5*h + 24 + 1, 5*h + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 139*a - 53. Let d(t) = 137*t - 45. Calculate -6*d(q) + 5*m(q).\nAnswer: -127*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-29)\/c)\/(c**20*c) assuming c is positive.\nAnswer: c**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**5 + 11*i**4 - 5*i**3 - 15*i**2 - 3*i. Let q(m) = 9*m**5 + 12*m**4 - 6*m**3 - 17*m**2 - 3*m. Let y(j) = 5*a(j) - 4*q(j). Solve y(u) = 0 for u.\nAnswer: -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344 and 860.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27268275 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 0, 72, 2, -5 in decreasing order.\nAnswer: 72, 20, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 15.59.\nAnswer: -155.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(3 + (-27)\/4). What is the third smallest value in 0.2, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3174 divided by -3\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13358436 divided by 3?\nAnswer: -4452812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + -110?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let t(u) = u - 13. Let w be t(15). Suppose l = 3*v + w*v - 310. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Suppose o - 3 = n, -o - 5*n = -0*n - 15. Let y = 1.4 + 0.6. Which is the second smallest value? (a) o (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71\/413 + 18499\/59. Let c be 2501\/(-8) - 3\/8. Let s = c + r. Is 0 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.057\nAnswer: -3.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + v + 14 - v - 5. Let a be s(0). What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/231*2\/(-12)*2*2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 958*b + 958. Let c be l(1). Let v = -0.1 + 0. Let s = v + 0.6. What is the nearest to s in -2\/15, -3, c?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -567342774 to the nearest one hundred thousand.\nAnswer: -567300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 540543848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - p**2 + 1)*(-p + p - 2*p**2) - 7*p**4 + 191*p - 191*p - 2*p**4 - p**4 + 0*p**4 + (26*p**2 + 276*p - 276*p)*(-p**2 + p**2 - 2*p**2).\nAnswer: -60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3322078*p**4 - 1541917*p wrt p?\nAnswer: 39864936*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327 + 489. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -16. Let t = 9 + h. Which is the nearest to -0.2? (a) t (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = 22 - 64. Let w = -0.37 + -0.03. Let p = 0.01 - -1.99. Which is the closest to 1? (a) w (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 44*n + 86*n = 46*n + 32, -16*n = s - 21*n - 25 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-20) - (-29)\/(-10). Which is bigger: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 26. Let v be r(12). Is 30\/(-12)*318*(-4)\/v a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13030214 (base 5) to base 10.\nAnswer: -126934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3 + 1785*c**2 + 1294899*c + 1293111 = 0.\nAnswer: -423, -1, 1019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -64. Let n be 22\/((-333)\/(-405) + (-3)\/5). Let f = n + -94. Solve -f*x - g = -10*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -17. Let u be 2 - (1 + (-2 - 0)). Suppose 0 = g*s - c + 10, 1 - u = 2*s - 3*c. Let t(b) = -b**3 - 4*b**2 - 3*b - 5. Determine t(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -1 + (6 - 3 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1*6\/15). Let h(w) be the first derivative of 0*w**4 + 2\/5*w**m + w - 3 + 0*w**3 + 0*w**2. Differentiate h(r) with respect to r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 2*d + 8 = 11*h, h + d = 5. Solve 0 = 3*n + 5*b - 35, 2*n + h*b - 15 = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + 6 + 5 + -13 + -5 - 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 1405025.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 5 = -b, 4*x + 3*b - 22 = 0. Let k(n) = x*n - 16 + 2 - 8*n. Let s be k(-19). Solve i + 0 = -s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1115 + -829. What is the smallest common multiple of i and 4?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -102, -123, -140, -153, -162, -167?\n\"Answer: 2*i**2 - 31*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1577 + 0.0577. Which is the nearest to q? (a) 0.2 (b) -3\/2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 10. Let v be n(-5). Suppose -2*i + u = -4*i - 3, -v*u = -2*i + 27. Sort -4, 4, i in increasing order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6)\/((-6)\/92*(-2898)\/4536).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 601, 656, 731?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -1066*y**3 + 18*y**2 + 32*y. Let m be h(-13). Suppose 11*d + 303184 = m. What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 5*v + 22*v)*(0 + 0 + v**2) + (5 - 2*v - 5)*(-3*v + 3*v - 2*v**2).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*a - 773 + 109. Let r be 1 + 3 - (63 + -89). Solve 2 + r = a*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9340*q**2 - 9340*q**2 - 39*q**5)*(-39 + 37 + 27).\nAnswer: -975*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -55\/27?\nAnswer: -55\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -1, -2, 35 in descending order.\nAnswer: 37, 35, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaaaayazzxamzyxyyyy. What is prob of picking 1 y, 2 x, and 1 z?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 2.5, -2\/13, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let y be w(1). Suppose y*r + 22 = r. Let b(s) = s**3 + 26*s**2 + 6*s + 354. Let h be b(-26). What is the greatest common factor of r and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/8)*d**(3\/4))**(-46) assuming d is positive.\nAnswer: d**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -1\/20*o**5 - 4 + 1\/8*o**4 + 1\/120*o**6 - o**3 + 0*o**2 + 0*o. Let n(z) be the third derivative of g(z). Factor n(i).\nAnswer: 3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14932 is divided by 3170.\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysv when three letters picked without replacement from {v: 1, z: 2, s: 1, y: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3\/9 + 63*z**2\/2 - 4054. Solve k(d) = 0.\nAnswer: 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Let z be (d - (0 + 7)) + 3. Suppose 4*j + z*j = 0, -j = 4*k. Sort 1, k, 3 in decreasing order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-3)\/(-9)*(-12)\/20. Which is the closest to t? (a) 0.01 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -757.76841?\nAnswer: 303.107364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -182801, -182800, -182799, -182798, -182797?\n\"Answer: d - 182802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 1. Let m be w(-4). Let d be m + 27 + 0\/2. Find the third derivative of n**2 + 4*n**5 + 0*n**2 - d*n**2 wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142293000 to the nearest one hundred thousand.\nAnswer: -142300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 6*r - 6. Let f be t(-3). Let n = -0.1 - -0.1. Let c = -1629 - -1633. What is the closest to f in c, -4, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*u + 30, u = 2*q - 3*u + 12. Suppose 0 = 4*j + q*j - 125528. Let l = 8509 + j. Round l to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*q - q. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/28)\/(2\/14). Solve i + 0*o - 6 = 5*o, f*i - 4*o = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*y + 26 = -8*t + 5*t, 0 = 57*t + 3*y + 34 - 313 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 5, -1, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266309 is divided by 17733?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135676 = -123*k + 19734 + 68573. Calculate the greatest common divisor of 6 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94134.\nAnswer: 2, 3, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.3282 + 15.3281890403. Round x to 7 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 4:54 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 130*c**4 + 4*c - 13. Let a(q) = 261*q**4 + 7*q - 26. Let p = 932 - 937. Let d(s) = p*w(s) + 3*a(s). What is the second derivative of d(n) wrt n?\nAnswer: 1596*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 1460*h**3 + 2935*h**2 - 1470*h.\nAnswer: -5*h*(h - 1)**2*(h + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*n**4 - a*n - 2*a - 54*n**3 + 76*n**2 wrt n?\nAnswer: -24*a*n - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 144473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -306 (base 8) to base 11\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. What is the third biggest value in -0.3, 0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 + 5. Let f be q(5). Suppose -2*d = 2*w - 36, -4*w + 26 = -f*d + 71. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4427 by -1.\nAnswer: 4427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40636227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -275981.4 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2048*d - 565*d - 20892 = -239*d + 75540 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 8. Calculate v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*z**3 + 116*z**3 - 75*z**3 + (-3*z**2 + 3*z**2 - z**3)*(4 + 0 - 2) - 7*z**3 + 2*z**3 - 26*z**3 to the form l + g*z**2 + h*z**3 + b*z and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let o(g) be the first derivative of -g**2 + 7. Calculate r(o(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 295*p + 2450.\nAnswer: 5*(p + 10)*(p + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.898 - 0.098. Let h = v + -3.7872. Round h to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3*(-6)\/(-9)). What is the units digit of (f + -19)\/(0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 251 - 148)*((x**3 - 12 + 12)*(0 - 1 + 0) + 5*x**3 - 4*x**3 + 4*x**3) to q + r*x**2 + t*x**3 + v*x and give t.\nAnswer: -1724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -314514, -314490, -314426, -314304, -314106, -313814?\n\"Answer: 3*n**3 + 2*n**2 - 3*n - 314516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 3815.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5358 - -1261?\nAnswer: 6630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(315\/25542)*(28\/12 - -1). Calculate the greatest common factor of q and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 9*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 18*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 32*p - 13 - 3 + 10 - 2 to the form i*p + z and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/39?\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 15, -5 in ascending order.\nAnswer: -5, 2\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 54. Let z = 2 + d. Let a = z + 2. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -6. Find the common denominator of -115\/6 and b\/(-6) + (-26)\/32.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10*a - 1066 = -6*a, -2*y + 2112 = -4*a. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:16 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by 70.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2023022113 + 11132?\nAnswer: -2023010321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 1552 = -103258. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -3\/5 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 + -4093?\nAnswer: -3940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 at least 16466\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let t(n) = 23*n + 0 + 4 - 4. Give t(a(x)).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -66, -167, -310, -495, -722, -991?\n\"Answer: -21*o**2 + 4*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 57*o - 175556 = 71570. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 9*c + 4 - 154 = 0. Which is greater: c or 650\/67?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7392 divided by -4?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 - 2292*d - 166185 wrt d.\nAnswer: -4*d - 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 3. Let w be o(3). What is the second derivative of -20*g**4 + w*g + 21*g**4 - 2*g wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 84 - 87) + (-1 - 5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -13.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 14928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 526, 2535, 6024, 10993?\n\"Answer: 740*c**2 - 211*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-205)\/123)\/((-15)\/(-40)*(-520)\/18)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3.9 (b) 0.2 (c) 0.037 (d) 1\/2 (e) -277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3607 (base 12) to base 15\nAnswer: -1bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 977551 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011000010010101 (base 2) to base 13.\nAnswer: 6230a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4\/8 + 69*x**3\/8 + 9*x**2 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19281 + -134975\/7. Which is the fourth smallest value? (a) -0.3 (b) 2 (c) i (d) 0.091 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 5*q + 18. Let o be l(-4). Suppose -111 = -o*c + 9*c. Factor 1\/3*a**c + 64\/9*a + 26\/9*a**2 + 32\/9.\nAnswer: (a + 4)**2*(3*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*w + 14 = 0, -3*g + 52*w - 1 = 50*w. Calculate the smallest common multiple of 237 and g.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090075238 rounded to 5 decimal places?\nAnswer: -0.00901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -23*r. Suppose r = 10*x - 13*x + 9. Calculate the highest common factor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 194. Let a be (b - 23) + -4 + 2. Solve 0*y - 2\/7 + 2\/7*y**a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2703 = -13*g + 2978. Let c = g + 706. List the prime factors of c.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 3*t = -64*t + 584. Solve 0 = 2*j + 6 - t, 3*j = -5*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-2 + -1)*1. Suppose 23*j - 6 = q*j. Which is smaller: 15 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 9)*(-u + 0*u + 0*u) - 3*u + 0*u + 16*u to the form h + r*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 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 is the units digit of 163567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4671 - -6895. What are the prime factors of y?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6836 and 12.\nAnswer: 20508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 31 - 23 = -3*x, x - 32 = -2*u. Let y be ((-21)\/u)\/((-10)\/20). Solve 2*m - 5 = b - 0*m, 0 = -2*b + y*m - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75143079.7591 - 75138891. Let d = 4189 - s. What is d rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 1\/170*i**6 - 99 - 1\/2856*i**8 - 2\/255*i**5 - 5\/204*i**4 + 0*i + 2*i**2 + 4\/1785*i**7 + 0*i**3. Let n(t) = 0. What is t?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10196, 40389, 90750, 161279, 251976?\n\"Answer: 10084*a**2 - 59*a + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9185.\nAnswer: 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 1\/3*p**3 + 1 - 1\/2*p**2 + 2*p**4 + 0*p. Determine i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/(6\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 (base 14) in base 8?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-7635.\nAnswer: 129795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-6))*d*d\/(d*d**6\/d)*d*d**(-4)\/d*d*d**7 assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, v: 8, z: 9, w: 1}. What is prob of sequence wivz?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 24 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32278999*-0.6.\nAnswer: 19367399.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + (156\/27 - 0). Let d be -14*(-1)\/(-8)*-2*j. Suppose 123 = r + d. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v**3 - 10 - 47*v**3 - v + 3*v**2 + 24*v**3 + 3*v + 23 to b*v**2 + c*v + s + r*v**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -837 + 842. Let l = -0.2 - 1.8. Which is the nearest to l? (a) 4 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3942*j - 3942*j + 17 - 3*j**2 + 44.\nAnswer: -3*j**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.04 - 1.54. Which is the biggest value? (a) m (b) 2\/17 (c) 0 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41336919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669347871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 4*i**2 + 2*i + 3. Let q be f(-5). Let a = -6 + q. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79044 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 120204869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**2 - 15*l**2 - 270*l**3.\nAnswer: -270*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1025\/2870)\/((8\/(-28))\/(-1))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 43*t**2 + 2*t. Let k(x) = -2*x + 1290. What is k(b(d))?\nAnswer: -86*d**2 - 4*d + 1290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**30*a*a*a\/(a**(2\/9)\/a))**(-12) assuming a is positive.\nAnswer: a**(-1324\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75686, -302650, -680920, -1210496, -1891378, -2723566, -3707060?\n\"Answer: -75653*a**2 - 5*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:47 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 122*c**3 + 12*c**2 - 8*c - 5. Calculate p(1).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1722830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 3*r**2 + 2*r**2)*(14*r + 0*r + 7*r)*(21 - 21 + 2*r).\nAnswer: -84*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 - 66*s + 171 = 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 3403.8?\nAnswer: 61268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/9, -1\/6, 1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*i = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4*-22*(-1)\/8 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53090505271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 11*f + 8. Find the common denominator of -127\/6 and f\/(-4)*(-944)\/128.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*30\/4*(-96)\/(-144).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7994*a**3 - 5266*a**2 - 49467236*a wrt a?\nAnswer: 47964*a - 10532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (125 - (-125748)\/(-1113))\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqq when three letters picked without replacement from {e: 1, q: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12 - 8.12. Let m = a - -8. What is the third biggest value in -6, 1\/3, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349 divided by 18.\nAnswer: -349\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -2 (c) 2.4211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 8*i - 10*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 169298*c - 169312*c - q + 56, -3*c - 5*q + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)*r*r*r*r**10 assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8889947.\nAnswer: 11, 808177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 389 and 3939792.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*f - 8*f**3 - 48*f)*((-1 + 2 + 1)*(-2 + 1 - 1) + 3 - 3 - 4).\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose 138 = 6*q + 180. Let w(k) = k**2 + 6*k + 4. Let i be w(q). Solve 0 = p + y, -p - 2*p = 4*z - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267 - -45. Suppose -2*q - v = -6*q. What is the lowest common multiple of q and (-2)\/(-2) + 11 + -7 + 3?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 5.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/17 or 296792?\nAnswer: -41\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let t(b) be the second derivative of b**4\/12 - 5*b. What is f(t(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 10*h - 216, -39 = -3*d + 2*h - 6 + 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883514?\nAnswer: 2, 3, 53, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - n**2 - 2 + 5*n - 3 + 3*n**3 + 7*n - 44*n to the form t*n + a*n**3 + s*n**2 + v and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 3. Let c be y(5). Let f(m) = -6*m + 4. Let u be f(c). Calculate the greatest common divisor of u and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -3a636?\nAnswer: -3a642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, h: 4, d: 3}. What is prob of picking 1 a and 2 h?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 4. Let n be 3 + 3 + -4 + -145. Let k = 158 + n. Solve -4*v = h*z + 1 + 1, -3*z - k = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1\/5, -1.1, 0, -5\/17, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = 2*z - 9, -4*q - z + 4 = 0. Is q greater than -528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003105058459 to 7 decimal places.\nAnswer: 0.0003105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 822472 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 1 - 5*u**3 - 2*u**2 - u - 2 + 1 - 20*u**4 + 24*u**4 in the form x + b*u**3 + v*u + i*u**4 + w*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 213.51 + -215. Let q = 1.4 + h. Let d = q + 0.09. Are d and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/9 - 666*b**2 + 38156*b\/3 - 422240\/9 = 0. What is b?\nAnswer: -3016, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65377 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: Round 11657689 to the nearest ten thousand.\nAnswer: 11660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + 4*z + 16 = 0, 0 = -2*j - z - 4. Suppose 4*t + j*t - 32 = 0. Suppose t*a - a = 1008. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*((-72)\/(-30))\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttfttttttt. Give prob of picking 3 t.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 2, d: 2, z: 4}. Give prob of sequence odo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30198117811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + 21 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25130, 50243, 75354, 100463, 125570, 150675, 175778?\n\"Answer: -v**2 + 25116*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -3a?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 13. Let s be l(18). Sort 0, s, 4, -3 in increasing order.\nAnswer: s, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12349*j + 12347*j + j**2 + 2*j**4 - 3*j**4 - 60*j**3 to the form p + h*j**4 + z*j**3 + g*j**2 + q*j and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1. Let o be (-81)\/63 + 2\/7. Let k(w) = w - 3. What is o*k(v) - f(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2410 = -5*v - 845. Suppose -c + v + 106 = 5*g, -3*c + 3*g = -1239. What is c rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8708 by -28.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(275) - (sqrt(275) - 1*sqrt(275))))**2 - (sqrt(275) + sqrt(275)*2 + 0)**2.\nAnswer: -2184 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*c - 85 - 131, 4*c = 0. Suppose u = 3*a - 3129. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 2 = -83*c + 82*c, 4 = -4*d for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let o(w) = 3*w - 2. Let b(i) = 4*j(i) - o(i). Let r(t) = t**2. Give r(b(f)).\nAnswer: 49*f**2 - 28*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - (-8 + -24 - -11).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-6) - (-9)\/6. Let t be 34\/6 - w\/(-3). Suppose 422 = 2*o + h, t*o - 5*h - 1079 = -24. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 21*o, 5*t = -5*o + 25. Solve 2*v = 5*n - 29, 3*v = -t*n + 27 - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 14*y + 5*y**2 + 0*y + 11*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.216911 - 1.\nAnswer: -0.783089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 11*o**2 + 12*o + 109. What is the remainder when y(9) is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*t - 274 = 0, 2*t = -3*v + 4*v - 66. Suppose -2*u + 2*x = v, 23 = -4*u - 3*x - 107. Round u to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13989013267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 3*v**2 + v - 11. Let t(a) = a**3 + a**2. Let i(j) = -k(j) - 3*t(j). Let g(u) = 3 - 4 - 14*u**2 + 15*u**2. Let f be g(1). Give i(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-10)\/(-8))*55\/(-22). Let x(k) = 6*k - 3. What is x(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105707+-0.165\nAnswer: -105707.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.42 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + -33 + 33 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhxh when four letters picked without replacement from sshssxxshxxhss?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588929 and 753887.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2696.5977 months to years.\nAnswer: 224.716475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 13*g + 11*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -4*b**3\/3 - b**2\/2 + 2*b - 167. Let c(s) = -6*s**2 - s + 3. Determine -5*c(p) + 8*n(p).\nAnswer: -2*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - -81 - (15 - (-2)\/(-1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -3, -26, -69, -138, -239, -378, -561?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 242*x**3 - 2*x**2 - 2*x - 1. Is v(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*b + 172 = -645*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/95 - -6\/19. Suppose 5*i - 20 = i. Suppose 2*j + 6 = 3*k + 6*j, -3*j = i*k - 10. Put k, 1, o in decreasing order.\nAnswer: k, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x*x*x)**(2\/37)\/(x*x**(-3\/2)*x*(x*x**(5\/3)*x)\/x)*(x\/((x\/x**(-1))\/x))\/(x*x\/x**(-5))*(x**(2\/7))**(-7\/6) assuming x is positive.\nAnswer: x**(-757\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-955)\/(-573) - (2919\/9)\/(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16*u = 12. Is (130 - 0) + (-3)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 170617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -183. Suppose -4*v + h = 20, -d = v + 4. Solve j - 2*q - 3 = d, -3 = -0*j + j + 4*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/3))**(-4\/5)\/(z**(-2))**(1\/21) assuming z is positive.\nAnswer: z**(-26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 56 + 114 = -l, -3*y - 3*l + 150 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = 10. Let m = -983\/105 - -48\/5. Let n = 38\/105 + m. Is n > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxx. Give prob of sequence qq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 - 46*s**5 + 71*s**5 + 4*s**2 + 2 - 2 + 2*s**5 - 2*s**5 + 0*s**5 + 3*s**5 + (-2*s + 2*s - 2*s)*(-2*s + 2*s + s**4).\nAnswer: 26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -9181, -11 in descending order.\nAnswer: -2, -4, -11, -9181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128984 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: Calculate the remainder when 1233 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (3 + -1)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 15243*i - 14379259. Let y(u) = 4*u**2 - 76200*u - 71896296. Let k(d) = -24*f(d) + 5*y(d). Factor k(l).\nAnswer: -4*(l + 1896)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -225\/14. Let d = -48 + 38. Let r be 4\/d + 3 + 4\/10. Which is bigger: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 2*m - 2. Let l be k(2). Suppose -w + l = 4*w. Let x = -22 + 22. Put x, -5, w in decreasing order.\nAnswer: w, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123132 (base 6) in base 15?\nAnswer: -20dde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1208.36 and -4.\nAnswer: -1212.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4224323.29 - 53431.71. Let v = 4277779.999972 + o. Let q = v + -25. What is q rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7550)\/(-1562850)*3*-15.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from dkodk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*a + a - 15, -428237*p + 428236*p - 10 - 10 = 2*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by 20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 + 215. Suppose -w = -4*c + 5*m, 14 = 2*c - 2*m - 22. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let i = -9815 + 49076\/5. Which is the closest to s? (a) i (b) 19 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**6 + 5*k**2 - 3*k + 2*k**6 + 3*k wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565433441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3 - 0)*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42310 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/87202294 and 42\/11.\nAnswer: 959225234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -739, -5, -3, 0, 16321, -4 in ascending order.\nAnswer: -739, -5, -4, -3, 0, 16321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 times 129?\nAnswer: 1225.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*w = 92, 2*w = d - 2*w - 5. Let x = 24 - d. What is the units digit of 712\/12 - 1\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(153) - (sqrt(102)\/sqrt(24))**2).\nAnswer: -6*sqrt(17) - 17\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w - g - 9, 9 = 3*g. Let n(z) = 3*z + 3. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 803695 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -320895289\nAnswer: 320895289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 2. Let f(b) be the second derivative of -12*b - 1\/2*b**2 + 0. Calculate a(m) - f(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4400)\/(-600)*1680\/(-308)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -1. Suppose 4*a = 2*x - j, 0 = -x + 6*x - 4*a - 14. Solve 0 = x*q + q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(-49))\/((-2)\/(-4)))\/(135\/105).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(240\/25)\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 5\/2, -0.029, -2, 0.4, -3, 87?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8649.916mg in tonnes?\nAnswer: 0.000008649916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/231 and (-165)\/(-735)*(3 + 51\/18)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(3 + -2) + 4. Suppose 2*s = -0*p + 4*p + d, -2*p - 14 = 5*s. Let m = 1887 - 1888. Is m at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-22)\/(-10) + (-19)\/(-5). Put -2\/9, v, -5 in descending order.\nAnswer: v, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.7? (a) -3\/4 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*11\/99*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 10002, -94 in descending order.\nAnswer: 10002, -0.2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108196438 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 8:38 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/14)*z**(-14) assuming z is positive.\nAnswer: z**(-199\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Calculate the remainder when 29 is divided by 42\/3 + (-8)\/w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8851*g**3 - 15*g**2. Let n(b) = 13276*b**3 + 21*b**2. Calculate -5*n(i) - 7*s(i).\nAnswer: -4423*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200056.\nAnswer: 2, 17, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/9 in -9, 3\/20, 463\/8?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 18 = 17*c - 7*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -27*b + 1622. Determine f(60).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 2*h)*(h - h - h**3)*(-4*h - 4*h + 2*h).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 5, o: 1, m: 3, n: 5, p: 4}. What is prob of sequence nc?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) -0.1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 + 2*d - 3. Let o be w(-3). Suppose -v + 11 = 3*h, 10*v + 5 = 11*v. Suppose o*q - h = -q. Solve q*z = -3 - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228704 - 0.05\nAnswer: -228704.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siiisiiiss. Give prob of picking 3 i and 1 s.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 1. Let y = 21 + -41\/2. Let i = -1 - y. Which is the third smallest value? (a) 0.4 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3.885. Let n = -0.12 + m. Round n to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + r = -10126, -16523 = -4*y - 5*r + 3687. Does 156 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + 1*sqrt(297) + sqrt(297) + sqrt(297) - 1*sqrt(198)\/sqrt(6))\/((sqrt(3564)*2 + sqrt(44))\/(sqrt(100)*2)).\nAnswer: 110*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17017*p**2 - 12*p - 4. Let x(v) = 3*v**2 + 3*v + 1. What is -4*x(w) - y(w)?\nAnswer: -17029*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d*o**3 - 149*d*o + o**3 + 2*o**2 wrt o.\nAnswer: 54*d*o + 6*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 1. Let f(i) = -i**3 + 3*i**2 + 10*i - 28. Let v be f(3). Let p be g(v). Solve -w + 0*w = 3*y + p, 4*w + 4*y = -20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 4*l - 14*p - 539, 4*l + 5*p = 563. Calculate the remainder when l is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 858\/144 - -5. Let g(l) be the third derivative of 0*l**3 + 0 + 1\/30*l**5 + 0*l**4 - 7*l**2 + a*l**6 + 0*l. Find the third derivative of g(b) wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 558.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y**(-5))**20 assuming y is positive.\nAnswer: y**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-35) - 2\/10. Let u be (1 - 0 - 0)*d. Put -5, -3, u in increasing order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 25 = -5*v, 5*u + v + 28 = -0*v. Let i(h) = h + 4. Give i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*x - 5*p, -x + 2*p = -4 - 4. Let v be (((-12)\/(-2))\/(-2))\/1. Sort v, 5, x in increasing order.\nAnswer: v, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 883 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 51*h = -50*h - 22, -h - 2 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*82*(2046\/396)\/31?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -28. Suppose -n*g + u + 26 = 6*u, -2*u + 8 = 0. Suppose -g*h + 7 = -h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047854426 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1311 + 11?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 4152956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -17*q - 27. Let n(m) = -15*m - 24. Let u(x) = -5*b(x) + 6*n(x). Give u(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {b: 6, s: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 - 48 = -4*o, 5*i - 5 = 4*o. Let q(w) = 20 - 41*w + 74*w - 37*w. Let m be q(i). Solve 0 = v, m = 4*a + 3*v - 0*v + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-30)\/(-8))\/((-2)\/(-88))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14656.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 less than or equal to 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396538082 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2858 + -1?\nAnswer: -2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, -1\/12 in descending order.\nAnswer: 3, -1\/12, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-17204)\/(-69))\/17 - -21?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 11*h**2 - 43*h + 14. Let k be y(14). What is the remainder when 24 is divided by 25\/(-10)*(-4 + k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 27 = -3*m, -3*i = -4*i + 5*m + 5. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 5*z + 4, -3*z - 16 = -4*h. Suppose 69 - 525 = -h*f. Suppose 0 = 4*t - 50 - f. What is the remainder when t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8870 by 1774.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {b: 4, v: 3, w: 1, k: 6}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 17\/4. Let k(m) = -2 + 0 + 3 + w - 6*m. Let g(y) = 3*y - 2. Calculate -7*g(r) - 3*k(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1522085*j**5 - 3*j**2 - 673107303*j.\nAnswer: -30441700*j**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8828814, 8828756, 8828698, 8828640?\n\"Answer: -58*m + 8828872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2 - 8*f - 3 + f**2 + 0 + 1. List the prime factors of x(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 2*f**2 + 4 - 3*f - 2*f**2. Suppose 0 = 3*v + 3, 0 = -t + v - 2. List the prime factors of b(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8583, 16624, 24665, 32706?\n\"Answer: 8041*j + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r**(-16\/3)*r))*r*r**(1\/6)*r*r*r*((r**(-2\/53)*r)\/r)\/r*r*r*r*r*(r\/((r\/(r\/(r\/r**(-6))))\/r))\/r assuming r is positive.\nAnswer: r**(-1019\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o - 5*o + 32*o - 12*o - 11*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11 = 71. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24b + -2a3559?\nAnswer: -2a330a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844023 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k - 8. Let s be f(4). Let v be 72\/168*((-32)\/(-6))\/s. Factor 4*u**3 - 32\/7*u**2 - v + 18\/7*u - 12\/7*u**4 + 2\/7*u**5.\nAnswer: 2*(u - 2)*(u - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 28\/8)*-146. Suppose 0*p + 130 = p. Let z = p - k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -2*m**2 + 4*m - 8. Let x = -42 - -59. Let l = -14 + x. Determine h(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/120 + k**5\/15 - k**4\/8 + k**3\/6 + 6*k**2. Let g = -3 - -5. Let c be s(g). Solve 0 = f + 2, c*f + 2*f = -i - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose 4*q - 5 = h. Suppose q*v - 51 - 11 = 0. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -35\/2. Which is the nearest to -3? (a) p (b) 1\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r**3 + 24*r**3 - 20*r**3 - 55*r**3.\nAnswer: -110*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n + 5. Let w(q) = -9*q - 3 - 9*q - 4*q + 18*q. Let u(y) = 3*v(y) + 5*w(y). Let d(i) = 9*i. Calculate d(u(s)).\nAnswer: 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151999*v**6 + 1696509*v**2 wrt v.\nAnswer: 18239880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*v - 68, -4*v - 31 = 2*l - v. Let x be 2\/7 - (-4)\/l. Suppose -2*t = -4*k - 0*k + 14, 5*t + 5 = 5*k. Solve 2*u + k = -x*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 214. Let d be (-2 - (-57)\/9)\/(1\/g). Suppose -15*k = -10*k - d. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from yvnynseos.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -20256?\nAnswer: -20251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321176 and 3344.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580.0475 weeks to milliseconds.\nAnswer: 350812728000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2\/2 + 2. Let r be s(5). Suppose 7*m + r = 8*m. Solve -m*f = 5*y + 30, -7*f + 3*f - 21 = 3*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11 = -3*q - 5*b, -3*b = 9. Let x be ((-24)\/(-16))\/(2\/q). Let -9*v**x - 4\/5*v + 24\/5*v**2 + 0 + 5*v**4 = 0. What is v?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38475 and 5014062.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 45*n + 5. Let i(w) = 9 + 66*w - 7 - 144*w + 93*w. Determine 11*i(r) - 4*u(r).\nAnswer: -15*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -3134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/4 and (738\/82 - 15022\/1669)*14?\nAnswer: 6676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, 5, 1 in increasing order.\nAnswer: -18, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t**2 + 2*t. What is h(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -4 (c) 10 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/17 (b) 3\/8 (c) -555\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 - -3112120300?\nAnswer: 3112120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 24183 + 3*m**2 - 3*m**2 + 24183.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(175) - (sqrt(175) - (sqrt(175) + -4)**2)) + sqrt(7)) - (sqrt(175) + 5*sqrt(175) + sqrt(175))) + 4*(sqrt(28)*1 + 3).\nAnswer: -179 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 3 (c) -2\/7 (d) 2\/23315 (e) -2 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*n + 12*n + 121*n)*(3 - 3 + 3).\nAnswer: 498*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + k**2 + 4*k**2 - 8*k + 221*k.\nAnswer: 8*k**2 + 213*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.7 - -3.7. What is the biggest value in -1\/3, 0.5, u, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-74)\/(-14) + (-2)\/7. Let u(x) be the first derivative of x**4\/4 - 4*x**3\/3 - 2*x**2 - 2*x + 2. Give u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13849 - (7*(-18)\/(-252))\/((-1)\/(-6)).\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110442613 to five dps.\nAnswer: 0.11044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -3*o - b - 18, -2*b - 16 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d - 70 = 10*q, -q + d + 2*d - 7 = 3*d - 2*d for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*g - 6*g. Let z be ((-1)\/2)\/((-4)\/(52 + g)). Suppose 2*a = z*a - 30. Solve o + 3 = a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:59 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*q - 0*q. Calculate the remainder when 20 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**25\/(b**(1\/8)\/((b*b**(-5\/4))\/b)))**(3\/23))**(5\/12) assuming b is positive.\nAnswer: b**(-55\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 8*p - 544. Suppose -j + 4*l + p = 0, 0*j = 2*j - 3*l - 48. Find the first derivative of 34*u**4 + 27 - 32*u**4 + j*u**4 wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u - 2. Suppose -3*i + 2 = -v - 3*v, -6 = v + 2*i. Calculate o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 23434*y + 7649*y + 48642*y.\nAnswer: 32857*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j - 7*j**2 - 3*j + 14*j + 10*j**2 + 1 in the form a + q*j**2 + d*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 2, c: 1}. Give prob of sequence mcj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4431728 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21311 + -1012301?\nAnswer: -330330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j**2 - 3*j + 1. What is p(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40277 is divided by 19272?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:04 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303884?\nAnswer: 2, 7, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6574b + -25f?\nAnswer: -659aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70981.\nAnswer: 70981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 41.87394 hours?\nAnswer: 1.7447475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7411155 (base 8) to base 13.\nAnswer: 54006a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26194839 and 39?\nAnswer: 340532907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38729 is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48, 57, 70, 87?\n\"Answer: 2*m**2 + 3*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30441 and 10001.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092181 to the power of 1\/2, to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -649*a**5\/30 + 777*a**2. Let t(f) = -f**2. What is h(t(d))?\nAnswer: -1298*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.634 - 73.3?\nAnswer: -73.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155204633 - -414396375907\/2670. Let a be 0 - (447\/(-445) - -1). Let c = a - g. Find the common denominator of 53\/6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1960 + -1945. Suppose u - 12 = -0*u. Let o be u\/(-4) - (-3)\/1. Solve o = 2*j + j - n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n - 45. What is f(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**2 + 2*b. Give z(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 33. Give r(-17).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79225444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 21. Let o(m) be the third derivative of -m**5\/60 + m**4\/2 - 13*m**3\/6 - 3*m**2. Calculate the least common multiple of x and o(9).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/5)*f**4*f*f\/(((f*f**2)\/f)\/f*f)*f\/f**(-4) assuming f is positive.\nAnswer: f**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*i + 69, -i - 41*g + 33*g - 149 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 11. Let i be j(13). Let x be (676\/(-39))\/(2\/(-3)). Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 6. Suppose 0*t - 3*t + g - 10 = 0, 2*g = 2*t. Let b be r(t). Suppose 534 - 534 = -o. Solve -2*x + b + 2 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*d + 1, -6*d = -2*d - s - 7. Suppose 0 = -3*b - d*t + 12, 0*b = 4*b + 3*t - 20. Let f = 26 - b. Calculate the highest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15*1)\/((-4)\/(-4)). List the prime factors of (13\/3)\/(5\/a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227198084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3085 = 67*v + 3018 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 11, -0.3, -0.4, -5\/4, -4, -0.1303, -0.13?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2953 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a - 4. Let s be z(-4). Suppose -4*y = -8*y + s. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1959 (b) -1 (c) 14 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1059.\nAnswer: 211.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1716 + 57869?\nAnswer: 59383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 3*u + 33, -3*u = -5*o + 17 + 34 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/173 - -1623\/1903. What is the nearest to b in -2\/7, 3\/7, 4, 0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17459530.\nAnswer: 2, 5, 11, 23, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1136 and 369626.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1010 = 4*g + 3715, -1075 = -2*l + 3*g. Suppose -l = 9*i - 4829. Is i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 38 = 13*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 7. Let y(a) = -3*a. Let f(i) = 9*i - 2. Let u(p) = 4*f(p) + 11*y(p). Calculate -5*t(n) + 4*u(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -12 - (-75 + (-12 - -40))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10568, -10490, -10366, -10196, -9980, -9718, -9410?\n\"Answer: 23*n**2 + 9*n - 10600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 16*h - 5. What is a(11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24050, 58207, 115136, 194837, 297310, 422555, 570572?\n\"Answer: 11386*p**2 - p + 12665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1 + 3 + 3*a**2 - 4*a**2. Let n be i(-3). Suppose -49 + 43 = s. Is n at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5 - 20*w**4 - 6*w**3 + 56*w**2 + 40*w = 0.\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000139656 rounded to 7 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from rssrrrr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1132 - -1166?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11520 and 1453800.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 4, r: 1, q: 6, d: 2}. What is prob of sequence dde?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -536 - -544. Suppose 4*x + 458 = -6*u + i*u, -4*u - 101 = x. Is -112 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11033031031 (base 4) in base 2?\nAnswer: 101001111001101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - -9)\/((-1)\/(-16)). Suppose -3978 = -f*x - x. What is the highest common factor of 52 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4 + 3)*(-1295*f + 2747*f - 735*f) + 5*f - 5*f - f.\nAnswer: 13622*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 3*z**2 - 7*z**2 + (8 - 6 + 1)*(-z**2 - z**2 + z**2).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195 + 3?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:58 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3118718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**2 + 3*g**2)*(2 + 0 - 1) + 8*g**2 + 16*g - 16*g - 8*g**2 + 3*g**2 + 3*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88334582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293858*t**4 - 293857*t**4 + t**3 - 9877 + 102*t + t**3 with respect to t.\nAnswer: 4*t**3 + 6*t**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + a - 35 = -2*f, -2*f + 10 = -2*a. Let z be ((-10)\/((-60)\/(-9)))\/(1\/(-2)). Solve f + 5 = -z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2651.98 times 0.03\nAnswer: -79.5594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 0. Suppose -m + v*j = 2*j + 12, 0 = -2*m - j - 12. Let s be (1 - 1) + 8\/2. Sort s, m, 0 in ascending order.\nAnswer: m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2305055 is divided by 717.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3844056700 to the nearest one million.\nAnswer: 3844000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*p + 5392 = 0, 4*a + 2*p - 7*p = 4317. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/3 - 62\/3. Put 2\/11, -1\/12, i, 1\/5 in decreasing order.\nAnswer: 1\/5, 2\/11, -1\/12, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/30)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - f = 46284, 29656 = i + f + 6511. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t = 0. Suppose t*r = 5*r - 55. Calculate the remainder when 41 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 2*o + 3*o. Let x(m) be the first derivative of 2*m**3\/3 + 1. What is x(f(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398611080 by -5536265.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -1)**2 - sqrt(11)) + 4.\nAnswer: -5*sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 17 = 1. Let q = 14 - d. Let s = -16 + q. Solve y - 5 = -s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 270 + 26 + r + 3*r.\nAnswer: r + 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 22, 73, 176, 349?\n\"Answer: 3*a**3 - a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 2, h: 4}. Give prob of picking 2 h and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0, -3\/8, -9\/4, -9 in decreasing order.\nAnswer: 3\/4, 0, -3\/8, -9\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 490*z**3 + 8125*z**2 - 17740*z + 9120.\nAnswer: 5*(z - 1)**2*(z + 24)*(z + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9 + 4. What is the third smallest value in 2, -0.5, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163668*2.\nAnswer: -327336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 364866\/1003 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -19*z**3 - z**2. Determine h(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.98 - 15.98. Which is the nearest to 0? (a) 0.2 (b) 5 (c) 0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000742 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) - (-1)\/7. Let t = 1624.0789 + -1624. Let v = t + -1.0789. Sort -2\/5, p, v in decreasing order.\nAnswer: p, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z. Let c(k) be the third derivative of -k**5\/10 - k**4\/6 - 5*k**3\/6 - 7*k**2 - 28*k. Calculate -c(b) - 4*d(b).\nAnswer: 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.44 and 15.\nAnswer: 21.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:53 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -2, -5, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -775 + 877. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 97*a**2 + 33*a + 37. Let m be w(-32). Let c(z) be the third derivative of 1\/21*z**4 + 1\/210*z**m - z**2 + 4\/21*z**3 + 0 + 0*z. Factor c(t).\nAnswer: 2*(t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1320013100 - -11?\nAnswer: 1320013111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + sqrt(70)*1 + sqrt(70) + sqrt(70) - sqrt(70)))*-1)\/(sqrt(1210)*1).\nAnswer: 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36905?\nAnswer: 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/21)\/(12\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 + 2*v - 1. Is z(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17 in 0.12, 265, -1\/12, -1\/3, -5, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6430 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326*u**2 + 181*u**2 + 49*u**2)*(u + 11*u + 17*u + 9*u + 2*u)*(1 - 1 - u**2).\nAnswer: -22240*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27.684 times -0.089\nAnswer: 2.463876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 39, 3, -5, -4 in decreasing order.\nAnswer: 39, 6, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31377511 to the power of 1\/2, to the nearest integer?\nAnswer: 5602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 13458762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 15?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -195148560 divided by -4?\nAnswer: 48787140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*r = -6, 2*r = -196*c + 197*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8471520 and 129896640.\nAnswer: 389689920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 544245503 to the nearest 1000000.\nAnswer: 544000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 times -162?\nAnswer: -33858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 1604*g**4 - 195368*g**3 + 6421768*g**2 + 14243436*g - 20471436 = 0.\nAnswer: -3, 1, 57, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.055 + 0.355. Which is the second smallest value? (a) -0.5 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 23*j = 20. Suppose -5*q = j*d - 135, -d + 39 = 2*q - 4*q. Suppose d - 446 = -5*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210110 + -212332?\nAnswer: -1023102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayad when four letters picked without replacement from yqdxddxaydayxxxx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 4*h + 0.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2165*x - 2169*x = -11204. Round x to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47431 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*i - 0*i + 819, -3*q + 2*i + 492 = 0. Let s be (-9)\/(q\/84)*12\/(-7). Solve 2*y - 7 = 5*f + s, -y - 3*f = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/46253088 and -131\/1238922.\nAnswer: 138759264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000450698 rounded to 6 decimal places?\nAnswer: 0.000451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -560*l - 67*l + 15675 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11715 and 2130.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 735, 765, 799, 837, 879?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - b = 14, -4*s - 3*b + 8 = -7*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -216510.\nAnswer: -216509.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/7 - 8182*m\/7 - 4092\/7.\nAnswer: 2*(m - 2046)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 6)*(2*c**2 - c**2 + 0*c**2) + c**2 - 2 + 2)*(9 - 2 + 6) + (-1 + c + 1)*(-49 + 11*c + 49).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/5 in 4, 0.02, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(297\/24)*6\/(-8). Solve -h*g = 2*k + 2*k - 2, 2*g = -k + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137446861 divided by 1?\nAnswer: 137446861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -74\/35*y**5 + 0*y + 6\/7*y**4 - 2\/7*y**2 - 17 + 20\/21*y**6 + 2\/3*y**3. Determine f so that p(f) = 0.\nAnswer: -2\/5, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 1. Let k be s(-3). Let h be (-25)\/(-15)*(-6)\/k. Suppose -h*j - 20 = 0, 2*g + 0*g - 106 = 3*j. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179\/684 - -2\/171. Find the common denominator of -63\/5 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyylyljlljyyjyllyjyl. What is prob of sequence yl?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644174 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306875 and 10311.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 42\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0 - 1\/72*u**4 - 2*u**2 + 2\/315*u**7 + 0*u**3 + 0*u + 1\/90*u**5 + 7\/360*u**6. Factor l(i).\nAnswer: i*(i + 1)**2*(4*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*((-36)\/(-10) + (-1 - -1)). Let p = m - 54. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021220111 (base 3) in base 11?\nAnswer: -18134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5916 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - 6*d - 2. Let k be q(-5). Suppose -b - 1 + 10 = 0. What is the remainder when b is divided by 62\/22 + (-4)\/k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7 - 11*t**2 + t + 7*t - 1. Let a(u) = -2 - 1 + 5*u - 7*u**2 - 3 + 1. Let q(b) = -8*a(b) + 5*x(b). Let d(c) = c. What is d(q(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 219151 and -0.3359.\nAnswer: 219150.6641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.65 - 1.731. Let g = 33.981 + i. Let o = g - 33.641. What is o rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1434\/65, 4, 2\/13, 0.07?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1405 and -35?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 70*i**4 + 1635*i**3 + 1267*i**2 + 262*i. Let h(d) = -d**4 - d**2 + 2*d. Let z(v) = -5*h(v) + l(v). Suppose z(x) = 0. Calculate x.\nAnswer: -21, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 791 + 799 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2458432 and -65\/112?\nAnswer: 17209024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 9, 12, 15, 18, 21?\n\"Answer: 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278208 is divided by 46367.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -22*p. Let t be n(1). Let m = -14 - t. Suppose 9 = 2*o + o. Calculate the remainder when m is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**35*y**4*(y*y**(-1\/4))\/y assuming y is positive.\nAnswer: y**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000769369183 rounded to seven dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4373 times 193\nAnswer: -843989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23013 (base 5) in base 13?\nAnswer: -988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 57 = -4*w. What is the second derivative of 32*c**4 - w*c**4 + 12*c**5 - 2*c wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-4)\/16*-4*0. Solve g = -o - 5*t + 12, -3*t + 1 = 4*o + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + 12*f + 1. Does 11 divide p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -728 (base 10) to base 15.\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643483.\nAnswer: 431, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (-2 + 1 - 1)*(-3 + 0 + 4) - 1 + 6 - 3)*((0 + 3 - 1)*(0*o - 3*o + o) + 0*o - 2*o + o - 2*o + 5*o + 0*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -17?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -19299 (c) 0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3643 + 3643 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -1\/5 (c) 29 (d) 4 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + 73 + (-6 - -1 - (-39 - -6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 4*q**2 + 28*q + 32.\nAnswer: -(q - 8)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -33*g. Let w(n) be the second derivative of -n**3\/3 + 9*n. What is w(q(x))?\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*f + 104 = 0, 3*n = 2*f + 73 - 2. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2, u - 3*d = -0 + 36. Let b = -35 + u. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -243, -338, -433, -528, -623?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6882547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2924 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -25. Let x be (-14)\/24*(-8 - 324\/(-42)). What is the second smallest value in s, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2*z + 1. Let f(v) = 4*v**2 + 3*v - 139. Let w(t) = -f(t) - 5*x(t). Find the first derivative of w(h) wrt h.\nAnswer: 2*h - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:22 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, d: 7}. Give prob of sequence ed.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -57498, -2, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/4*(-10)\/36*3. Which is greater: -2\/9 or r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 35 = 12*z. Find the third derivative of -316 - 53*d**3 + 313 - 5*d**2 - 4*d**z wrt d.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 - (2\/4 - 1). What is the highest common divisor of f and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*q - 200*q**2 + 199*q**2 - 28*q + 0 + 0.\nAnswer: -q**2 + 75*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37635 divided by 1.\nAnswer: 37635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = x. Let b be (-1052)\/36 - x\/(-18). Let d = b - -55. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(6 + 50536\/2))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 4*b)*(0*b**3 - 2*b**3 - 4*b**3) + 4*b**4 - 2*b**4 + b**3 + b**3.\nAnswer: 8*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.5275t to grams.\nAnswer: 405527500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/13 + 5668*g**2 - 736640*g\/13.\nAnswer: -2*g*(g - 36832)*(g - 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(3 - (-48)\/(-4)). Suppose 153 = 5*w + 12*w. Let a be (-5 + 68\/12)*w. Solve 5*z - b = a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3371340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1198.1328 to the nearest ten.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*t + 7070, 2*t - 6*t = 3*g - 10606. What are the prime factors of g?\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:02 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(7\/5)\/o)\/(o\/(o\/((o*o**(-1\/11))\/o))))**(4\/5))**(-22) assuming o is positive.\nAnswer: o**(-656\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/3, -1, -1\/4 in decreasing order.\nAnswer: -1\/4, -0.3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35863.4 + -35937.3877. Let z = -74 - i. Round z to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*b - 4 = -0*i, b = 2*i - 8. Let u(g) = -g**3 + 3*g**2 + 4*g - 1. Let d be u(i). Let h be -1*1\/2 - 0. Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 1, m: 1}. What is prob of sequence cm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 + -160. Solve 0 = -6*q + i*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/(-40)*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.22 + 22. Let r = 0.02 + h. Let c = -118\/7 + 1548\/91. What is the nearest to 1\/2 in r, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - -72) + (5 - -9) + 27\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + (sqrt(65)*2 - sqrt(65))*6)\/(sqrt(5) + (sqrt(120)\/sqrt(6) - sqrt(5)) + sqrt(5)).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 10, 31, 82, 175?\n\"Answer: 2*r**3 - 3*r**2 - 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.033, 17, 4, 13, 463 in ascending order.\nAnswer: -0.033, 4, 13, 17, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 953764 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 -2*b**2 + 5726*b + 22936 = 0. What is b?\nAnswer: -4, 2867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 1695?\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -165666?\nAnswer: -82833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:55 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**4))\/m*m**(-3\/11)*m**(-1\/8)\/m**(1\/3) assuming m is positive.\nAnswer: m**(-1513\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 201546565832 and -4?\nAnswer: 201546565836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -358?\nAnswer: -71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p**2 + 900*p + 76. Determine i(53).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1035 in -4\/25, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-42) + (-96)\/(-21). What is the nearest to 4 in 2\/11, 1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 10. Let g be l(13). Suppose 5*q = -4*n + 145, 0*n + g*n - 5*q = 65. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.02. Let v = 0.86 + p. Round v to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from vshhggghggvvgvggssh?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 152*k**3 + 2*k**2 + 6*k. Let h(t) = -4*t - 4. Let u be h(-3). Let d be c(u). Round d to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2991\/22 + 589887\/4334. Let h = c - -15717\/1576. What is the common denominator of (-17)\/6 + (-2)\/(-6) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-35) - (-96)\/15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s**2 - 15*s**2 + 18*s**2 + 755 + 10*s**2 in the form d*s + r*s**2 + l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*w = -13, 0 = t + 4*w + 3 + 5. Suppose 2*h = 2*k + k - 9, 11 = -4*h - k. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 16. Let s(d) = 9*d**3 + d**2 + d + 1. Determine s(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954809 is divided by 4380?\nAnswer: 4349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 16. Suppose 9*w - 15 = d*w. Solve 0 = -5*b + w*k + 17, -b + k = -4 + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/48*44\/3201. Let u = -20563\/3492 + a. Calculate the common denominator of (-83)\/((-5)\/(5\/(-2))) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1134.30043039 - 1134.3. Round g to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -100 (c) -0.4 (d) 0.1 (e) -3 (f) -3\/7 (g) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/3 - 5*q. Let j(i) = 2*i. Determine j(x(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 5*z**4 - 20*z**3 + 20*z**2.\nAnswer: 5*z**2*(z - 2)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 817 + -774.1. Let x = -42.5 + k. What is the third biggest value in 1.1, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3 and 35\/8858964.\nAnswer: 8858964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*f - 38*f + 4*m + 20088, -f = 2*m - 5025. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - t. Let i(q) = 12*q**3 + 5*q**2 + 4*q - 2. Let w be (-525)\/(-70) + (-175)\/14. Determine w*v(a) - i(a).\nAnswer: -12*a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:22 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-27)\/6 - -6). What is the closest to a in -5, -2, -0.3, -31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttlaatmata. Give prob of sequence ll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:42 PM?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 + 2*c - 2. Let b be y(2). Suppose -18 = -5*x - 4*x. Find the third derivative of -129*j - 138*j + 8*j**x + 267*j - b*j**6 wrt j.\nAnswer: -1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-42))\/(90\/(-7)*(-14)\/(-42)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + ((5 - 9) + -2 - -9) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -33. Let w = -31 + b. Suppose 7*f - 3*f - 3 = p, -5*f + 5 = -p. What is the highest common divisor of w and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 0.0677, -1, 3, -0.2 in decreasing order.\nAnswer: 77, 3, 0.0677, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 - f**3*r - 92*f**2*r + 29*f*r - 5*r - 4 wrt f?\nAnswer: 40*f**3 - 6*f*r - 184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2400416040 to the nearest one million.\nAnswer: 2400000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - -16) + (3088 - 3175)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**3 - 5*f**2 + f. Let s(a) = 4*a**3 + a - 14*a**2 - 27*a**2 + 39*a**2 + a**3. Calculate 2*h(z) - 5*s(z).\nAnswer: -3*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5c7 (base 14) to base 8\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3370*z**3 + 6404*z**3 - 3200*z**3.\nAnswer: -166*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/3 - 2*d**4\/3 + 7*d**3 - 6*d**2 = 0 for d.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107502.73 rounded to the nearest 10?\nAnswer: 107500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 26 = q - 21, 88*q = 93*q - 3*x + 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:12 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q**3 + 0*q**6 + 0*q**5 - 1\/12*q**4 - 5*q**2 + 1\/35*q**7 + 0*q + 0. What is the second derivative of x(o) wrt o?\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 7}. Give prob of picking 2 b and 1 y.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889433709.\nAnswer: 3, 5717, 51859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + (-315)\/(-10))*2 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:57 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15624098911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(1 - 16 - 7)*(-2*j**2 + 2*j**2 - 5*j**3) to the form l + g*j + p*j**2 + z*j**3 and give z.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2057) + -1)**2.\nAnswer: -4116 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6273 = -36*i. Suppose -4*u - 12 = -v, -2*v + u - 65 = -6*v. Suppose -11 = -3*o + v. Calculate the highest common factor of i and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558498?\nAnswer: 2, 3, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -102, -388, -962, -1920, -3358, -5372?\n\"Answer: -16*s**3 + 18*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -12503?\nAnswer: -16\/12503","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 56498121707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 10*y**3 + y**3 + 4*y**3 + 14*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 - 1 + 1 - 861*a**2 + 477*a**2 + 3 + 390*a**2.\nAnswer: 6*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -2132468?\nAnswer: 2132467.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3*h**2 - 5459*d**3 + 1417*h**3 wrt h?\nAnswer: -4*d**3*h + 4251*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/34)\/(1185840\/(-149328))\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1325, 2574, 3823, 5072, 6321?\nAnswer: 7570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 421889 and -52.\nAnswer: 421837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t**2 + 14*t**3 - 17*t**2 + 43*t**3 + 7*t**4 + 6 - 25*t**4 - 3*t = 0. What is t?\nAnswer: -1\/3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27360 + 3578265 = 261*i. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -2*r - 2*k, -5*k + 14 = 2*r. Suppose 413 - 59 = r*p. Suppose -4*z = 3*x - 146, 0 = 3*x + 5*z + 35 - p. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175860*z**3 - 99868*z**3 - 175859*z**3 + 451583*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114302242 to the nearest integer?\nAnswer: 10691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2130613603 + -6?\nAnswer: -2130613612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 - 243.9.\nAnswer: -203.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 1 + 1 + (-4 + 3 - 1)*(-5*q**2 - q**2 + 2*q**2))*(2*q - 3*q - q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/40 + 1 - (-6)\/8. Suppose 4*j + 7 + 1 = 0. Which is the second smallest value? (a) 1 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -92*(51\/(-78) + (-4)\/(-26)). Suppose d*g - 5559 = -85. Solve -4*h + 111 = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*g = -406*g + 4. Is g > 4\/401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/1)\/(-1)*75\/(-16200)*-1224?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-16))\/(1\/2). Sort 3, -3, i in increasing order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a - 13. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 21727651?\nAnswer: -21727652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-15) - 46\/(-10). Let p(s) be the first derivative of -1\/3*s**3 + 0*s**2 - 3 - s**x + 0*s. What is the third derivative of p(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5494*q - 5495*q + 1, 4 = 21*b + 4*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -292, 10.\nAnswer: -292, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1426\/6)\/((-5)\/3). Let y(p) = -25*p + 8. Let r be y(6). Let l = g - r. Is -1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2 - 4\/3*c**6 - 7*c**3 - 9\/4*c**2 - 28\/5*c**5 - 73\/8*c**4 + 0*c. Let k(n) = 0. What is n?\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72342784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 729*p**2 - 18*p + 18. Let v(g) = 364*g**2 - 10*g + 10. Give 5*q(b) - 9*v(b).\nAnswer: 369*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*d**2 + 485*d**2 + 492*d**2 + 490*d**2 - 1953*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s = -162 + 542 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483067887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 - 4*m**4 + 2*m**4)*(2*m + 3 - 3) + 11*m**5 - 18*m**5 + 8*m**5 - 88*m - 105*m + 11*m**5 + 105*m.\nAnswer: 16*m**5 - 88*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35628 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: Does 149 divide 19592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + l - 2, 0 = -2*v - 8*l + 6*l - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 7*n + 5*u + 2, -3*u - 4 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30842?\nAnswer: 2, 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyqqcqcqnqyenyg. Give prob of picking 1 q, 1 g, 1 y, and 1 n.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -7512\/7 and -1072 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3370 divided by -16\nAnswer: 1685\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*m - 12628 = -0*m, -m - 6309 = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/5 - 474*l\/5 = 0. What is l?\nAnswer: 0, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2, 9*i - 3*z = 10*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 - 4*v - 4. What is l(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 944*q**2. Let i(n) = -9*n**2 - 2*n + 24. Let c(w) = 65*w**2 + 15*w - 180. Let u(o) = -2*c(o) - 15*i(o). What is u(g(f))?\nAnswer: 4455680*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74056307 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -16*j + 110 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000255650276 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + 2*a**3 - 2*a**3 + (-4*a + 3*a + 6*a)*(0*a + 3 + 2401*a**2 + 7*a - 2403*a**2) to p*a**2 + q*a + c + v*a**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 281 - 279. Find y such that -3\/5*y + 3\/5*y**o - 6\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 35154122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3747 - 2?\nAnswer: -3750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -42*n**2 - 6*n - 5. Let r be s(-1). Put r, 5, 0 in decreasing order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*l - 2 = 0, f + 4*l - 5 = -1. Sort f, 0, 10 in descending order.\nAnswer: 10, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/252 and -65\/2226.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3112140202 (base 5) to base 11.\nAnswer: 3658181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79.72999 + 80.405. Let x = -0.678 + q. What is x rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575 = -4001*y - 2426 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29194?\nAnswer: 2, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 66 - 73 - 62)*(3*d - 5*d + d).\nAnswer: 165*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 44227 (base 11) to base 4\nAnswer: 33222133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4202, 34632, 117234, 278096, 543306, 938952, 1491122?\nAnswer: 2225904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 348.39 + -345. Let r = x + -4.39. Which is the third smallest value? (a) 3 (b) 119 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/39374608 - -22719153007\/165018982128. Let k be (-2)\/(-1) - 3050\/1524. Let t = k + q. Calculate the common denominator of t and 93\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*n + 61, 3*q - 3*n - 10 = 14. Let k = 16 - 10. Let t be k - -18 - (1 - -1). Calculate the greatest common factor of t and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1203 divide 676238612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 2*p**4 - 2*p**4 + (4 - 4 - 4*p)*(1 - p**3 - 1).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 - 5 = 0. Suppose q = -4*p - 10. Sort 4, -4, p in descending order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4243 is divided by 235.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6198670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 1, s: 8, k: 4}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3))\/(t\/(t*t*t*t\/(t\/(t*t*t**(-19))))*t)*t**(-2\/7)*t\/(t\/(t*t*t*t*t**(2\/45)))*t assuming t is positive.\nAnswer: t**(-3016\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i + 17. Calculate the remainder when 108 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-17)\/(-357) - 862\/28. Which is the second smallest value? (a) 0.5 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 1 - 2)*(2 - 6 + 2) - 3 + 5 - 5 + 2 - 4 + 1)*(2*d**3 + 3 - 3) + (2*d - 2*d + 2*d)*(-2*d + 2*d**2 + 2*d) as s*d**3 + o*d**2 + k*d + h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/260 - (-184)\/230.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.083 or 25565?\nAnswer: 25565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 15, -74, 5, 13 in decreasing order.\nAnswer: 15, 13, 5, 1, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 6*o - 19529 + 383591. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1599*a + 3733 - 19723 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27 and -25\/128628?\nAnswer: 128628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400 and 60760.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 1 - 13. Suppose 3 = -s - 3*c, 0 = i*s - 4*c + c - 27. Suppose -4*q = -s*q. Solve q*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ututudvutuupdutvudp. What is prob of picking 1 v and 1 t?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12698, 12223, 11434, 10331, 8914?\nAnswer: 7183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:46 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - 110 = 0. Let w(t) = 19*t + 2. Let y be w(10). Calculate the least common multiple of v and (y\/20)\/(-4)*-5.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 8, 10, 2, 4 in descending order.\nAnswer: 10, 8, 4, 2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 59\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Let l be ((-5)\/115)\/((-22)\/(-44)). Put l, 0, t, -0.2 in descending order.\nAnswer: t, 0, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.402 + -0.102. Which is the fourth smallest value? (a) -20 (b) o (c) -1\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 7*q - 1. Let t = 31 - 36. Let i(r) = -r**2 - 7*r. Let g(d) = t*n(d) + 6*i(d). Let y(a) = -a**2 - 6*a + 4. Give -6*g(u) + 7*y(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 5*o**3\/3 + 6*o**2 + 86*o + 30. What are the prime factors of y(-10)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*q = -17, 4*o + 53*q = 57*q - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 494 - 539. Let n = -58.06 - q. Round n to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -k, 0 = 4*o - 3*o + 3*k - 12. Suppose 0 = -4*z - o*z + 105. Let g be 88\/10 - (z - 10). Which is greater: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7545462 - -7545460.0000092. Let z = -2 - f. What is z rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from pjjppjpppppppppppppp?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 - (-1 - -5) - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 10*a + 15. Let k be p(2). Sort 0.4, k, -2 in descending order.\nAnswer: k, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(95\/(-10) + 7 + 0). Solve b*s = -0*f - 4*f, 0 = -2*s - 5*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3408 divided by -6?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -101. Let h(c) = -2*c - 2 + 2 - 3 - j*c. What is the smallest common multiple of h(-1) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 2\/5 (c) 1\/14777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 0 - 41 - (-3 + -8 + -2)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 8. Let u(c) = 7 - 4 - 1 - 1. What is 6*u(i) - x(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (-28)\/6. Suppose 2*q - 138 = -134, -3*d - 2*q + 10 = 0. Solve n*v = 6 - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:36 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfxfxnhhhhhhxfhn. What is prob of sequence nff?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 321 + -291. Calculate the lowest common multiple of y and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, g: 1, b: 1, q: 1, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 12*a + 88 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -10. Which is the closest to s? (a) 10 (b) 2\/17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481889794 divided by 3.\nAnswer: -481889794\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/231 - (-108)\/21. Solve 12*a + 32 = 3*u + 8*a, -4*u = -n*a - 41 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + 2*g)*(791*g**4 - 1524*g**4 + 861*g**4 + 2).\nAnswer: 256*g**5 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210232 - 2133?\nAnswer: 202033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/125 - 383\/500. Suppose 4 = d + 5*z - 3, -3*d + 10 = 4*z. Let j be 5\/d - (-6 - -8). What is the third smallest value in -0.1, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/3*w**2 - 1\/3*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 t, and 1 l when four letters picked without replacement from qtrtql?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27044710 and 1395856?\nAnswer: 216357680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15233 + 947 = 971*w - 7124 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23822 and 9.\nAnswer: 214398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 + 2*i - 2 + 7*i**2 + 0 + 13*i**2 - i**3 as s*i**3 + a*i**2 + v + t*i and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 928, 7416, 25028, 59326, 115872, 200228, 317956, 474618?\n\"Answer: 927*c**3 - c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*h - 7, -7*u + 4 = -3*u + 4*h. Suppose -8 = -7*r + u*r. Solve n - 3 + r = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*f**4*s - 3*f**4 + 4*f**2*q + 2*q*s + 1255*q wrt f.\nAnswer: 112*f**3*s - 12*f**3 + 8*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Let v = 213.4 - 240. Let h = 27 + v. What is the second biggest value in h, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 678*b**2*n**4 + b**2 - 4*b*n**3 - 2276*b*n**2 - 3*b + 3*n**3 + 4*n wrt n?\nAnswer: 16272*b**2*n - 24*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 25\/1828?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10. Suppose -3*c - 5*j - 10 = 0, -4*j = -v*c + 5*c + 8. Suppose c = 3*n - 10 - 5. Solve -3*x + n*x - 6 = 0, 22 = -5*g + 4*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*z + 139*z = 120 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 = 4*j - 24, -s + 28 = 5*j. Let y(i) = -i**2 - i + 6. Let h be y(0). Let u(z) = z. Let a be u(h). Solve -s*t + t = a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20*g - 166554 = 16*g, -a + 33312 = g. List the prime factors of a.\nAnswer: 2, 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 3798. Suppose -4*p - 4*h = -2*h - 1026, 0 = 5*p - 3*h - u. What are the prime factors of p?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 16*h**2 - 18*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/5 + 693239*t**2\/5 + 24030194019*t + 2042366150457\/5 = 0. What is t?\nAnswer: -346611, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 - 74 = 3*f, 30 = 5*o + 5*f. What is the highest common divisor of 3375 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 68318.\nAnswer: -6831.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*491.\nAnswer: -49.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/7 - 36426664*v**3\/7 + 165862621991084*v**2\/7 + 995176715466648*v\/7 + 1492765564960098\/7 = 0.\nAnswer: -3, 9106669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(300))*-6 + 3 + -1*sqrt(300)) + 3.\nAnswer: -420*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 117, 5745?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539) + 3 + (sqrt(1539) - ((sqrt(1539)*2)**2 + 0)))*-2.\nAnswer: -36*sqrt(19) + 12306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 74\/3 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*b - 9 = -197*b. Suppose -2*c + 0*s = 3*s - 10, 4*c - s = 6. Suppose 3*i = 6*p - p, 5*p - c*i = 5. Solve 6 = -p*q + b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-50)\/(-15) - 1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25347*i**3*k**3 + 5*i**3 + 2*i**2*k**3 - 88*i**2 - 42 wrt k.\nAnswer: -76041*i**3*k**2 + 6*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653434918 to the power of 1\/2, to the nearest integer?\nAnswer: 51512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 9, k: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32473*b**3*c**3 + b**3*c**2*g + b**2*c**3*g + b*c**3*g + b*g - 12*c**3 wrt b?\nAnswer: -194838*c**3 + 6*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103429*-0.1.\nAnswer: -10342.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8996 and 3063775?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:01 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 2, e: 1, y: 3, u: 4}. Give prob of picking 1 p and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -335*c**2 + 189*c**2 + 176*c**2 - c + (2 - 4 + 1)*(2*c**2 + c**2 - 4*c**2).\nAnswer: 31*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 3313.\nAnswer: 9\/3313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -12*m + 38. Find k, given that -21*k**3 - 5*k + k**5 + m*k**4 + 54*k**3 - k - 28*k**3 - 5*k**2 = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqwwwwwgwqwww. Give prob of picking 1 g and 3 w.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -15. Suppose -y + 3*m + 39 = 2*y, -5*m = 2*y - 33. What is the remainder when w is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 92\/(-9)) + (-2)\/9. Solve 0 = -y*z + j + 17, 5*z - 4*j = j + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3990 not equal to -3977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6 + 4))\/1. Is 10\/9 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4273 smaller than 30\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33184, 132742, 298706, 531070, 829828, 1194974?\n\"Answer: -z**3 + 33209*z**2 - 62*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.68319 months?\nAnswer: 0.08069325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from duycyxd.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -7, -29, -1\/6, -3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 - 2604*l**3 + 7836*l**2 - 7844*l + 2616 = 0 for l.\nAnswer: -654, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + ((-24662)\/(-95))\/(-22))\/(6\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -29. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -15 - -8) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.156621 to 3 decimal places.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1361746\nAnswer: -6808730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5426 + 2930 = -96*u for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4512609 and 10?\nAnswer: 45126090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmvw when four letters picked without replacement from {w: 5, m: 2, v: 8}?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(0*k + k - 2*k) + 3*k + 3*k - 4*k - k - 46 + 46)*(-1 + 6 - 1)*(8177 + 305*k**2 - 8177).\nAnswer: 2440*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*(f*f*(f*f**(-6))\/f)\/f)\/f)*f*f**(-20)*f*f)\/(f**(2\/5)\/(f*f**(-2\/5))) assuming f is positive.\nAnswer: f**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/5 + 10\/(-25). Suppose m*k = 4*k - 2. Let n = -2 + k. Solve -2*u + 0 - 2 = n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/2748979 - 50111138213\/30238769. Let a be 108*(-46)\/9*-3. Let j = a + z. What is the common denominator of 44\/9 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*v - 76 = -2*s, -4*s + 83 = 3*v. Suppose 0 = -2*b + b. Solve -m - 5*d - s = b, -m = 3*m + d + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100942*k + 1413 - 100944*k + 1035 + 617 to c + v*k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 10. Give l(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154001, -308000, -461999, -616004, -770021, -924056?\nAnswer: -1078115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52\/(8\/4)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -8 - 42 - 27 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/5951 and -34\/3787.\nAnswer: 41657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3973*n**4 + 2*n**3 + 109266*n**2.\nAnswer: -95352*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 71*l - 5. Let s(h) = -969*h + 68. Let u(z) = -5*s(z) - 68*w(z). Let t(a) = 27*a. Determine u(t(g)).\nAnswer: 459*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -16*t + 2. Let v be a(-5). Suppose 2*y + v = 4*f - 0*f, 5*f = y + 110. Suppose -2*w + 0*w = -24. Calculate the remainder when f is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -115.235. Let d = m - -1.235. Which is the nearest to 15? (a) 3 (b) 3\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 11 + -6 + (-1 - -1). Let k(o) be the first derivative of 9\/2*o**2 - z*o - 1\/3*o**3 - 18. Determine k(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/(-2) - (25 + 357\/(-14)). Put -11, -2, -4, s in ascending order.\nAnswer: s, -11, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 7, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100 (base 2) to base 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 12 - 4*p - 2*p.\nAnswer: -4*p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62317179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.2 - -250.8. Let d = 276.173 - m. Round d to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018379 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -280*3\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:39 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - 2. Let c(f) = 10*f - 2. What is 2*c(u) - 3*j(u)?\nAnswer: -7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:06 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -203*b**2 + 42*b + 1. Let x(f) = 203*f**2 - 38*f. Let y(w) = 2*p(w) + 3*x(w). What is the second derivative of y(n) wrt n?\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -22.8?\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 21761*p + 4156348. What is w(-191)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -993?\nAnswer: 397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 70*h + 476*h + 1 - 3 in the form v*h + j and give v.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-28))\/(90\/(-48))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-1 + 1 - 1)*(32*o**3 - 32*o**3 - 11*o**5).\nAnswer: -22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 7. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n - 46 + 111 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 46. Find the third derivative of 7*j**g - 19 - 6*j**2 - 3*j + j**5 + 19 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j. Let v(d) = -11667937*d. Calculate v(g(b)).\nAnswer: 58339685*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1351*v**2 + 3 - 1164*v**2 in the form w + n*v + q*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/2 + 51*o**2. Let r(u) be the third derivative of -u**4\/24 + u**2. Give r(b(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-657)\/(-33) + 6*1\/66. Solve -h*a = -43 - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1731375 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13616 and 3312?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**2 - 5*j - 6. Let c(u) = -u**2 - u - 1. Let v(o) = -6*c(o) + l(o). Let x(d) = 18*d. What is x(v(t))?\nAnswer: -18*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + 36\/(-10). Let g(o) = -o**3 + 6*o**2 + 6*o + 5. Let c be g(7). Put v, c, 5 in descending order.\nAnswer: 5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2, -2*t + 402 = -4*q + 9040. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**2)**(-16)*k**44\/(k**(2\/67)*k) assuming k is positive.\nAnswer: k**(-1409\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 35*u**2 + 35*u - 75.\nAnswer: 5*(u - 1)*(u + 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*c, 2*c = 3*c + 2*w + 2. Let a(s) = 3 + 0*s**2 - 3 + 8*s**c. Let l(y) be the third derivative of y**5\/30 - 9*y**2. Determine a(l(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (70317\/(-12870) + 84\/15)\/((-9)\/(-2))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 2 + 2)*(-4 + 2 + 1)*(2 - 1 + 0 - 2 + 1 + 3 - 2 + 0 + 4 + (-1 + 5 - 2)*(-4 + 5 + 0))*(-10*m - 12*m - 10*m).\nAnswer: 1568*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -28*r**2. Let w(k) = 21*k. Calculate w(v(b)).\nAnswer: -588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 165907937805\nAnswer: -165907937804.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4843 - 1.5443. Put u, 5, 5\/3, -29.5 in ascending order.\nAnswer: -29.5, u, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.277 or 15.3?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*g = 15, -210*g + 206*g = -16. Sort 0, u, -4, 3.\nAnswer: -4, 0, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 - 161.06. Let r = t - -0.06. Let d be (2 - 3\/2) + (-9)\/12. Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 + -150. Let u(g) = g**3 + 6*g**2 - 8*g - 5. Suppose 0*k = -k + 1. Calculate the remainder when u(f) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 28286 (c) 4 (d) 0.17 (e) -2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.245442 kilograms to grams.\nAnswer: 6245.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7945 and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 20.000025. What is x rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 80.908. Let d = 0.073 - m. Let l = d + 0.419. Is 3 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 18 - 2*p - 3*p + 14*p. Let g be s(7). Solve -g*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-2\/13))*x*x*x**(2\/7)*x*x**(6\/5)*x**0 assuming x is positive.\nAnswer: x**(1971\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6. Let u = 15 + -11. Let y be p(u). Let d(g) = -7*g + 4*g + 3*g + 3*g - 8*g. Determine d(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -796853 less than or equal to -796853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {r: 1, d: 1, u: 1, x: 1, f: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.052482ml?\nAnswer: 0.000052482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjf when three letters picked without replacement from {f: 1, l: 1, j: 2, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28 and 87\/184648?\nAnswer: 184648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(84)*3)\/sqrt(4))\/(sqrt(3) - sqrt(24)\/sqrt(288)))**2.\nAnswer: 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 876070649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75\/2 + -38. Which is the closest to w? (a) 3 (b) 0.5 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 18.\nAnswer: -5, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -16. Let g = -4 - r. Suppose -g*x = -3*x + 257. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/20*(-425)\/(-1020)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(-3*sqrt(8)))**2 + -2*sqrt(32)*4.\nAnswer: -32*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90407 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q + 2*l, -q + l = 4*l + 7. Suppose -3*y = -q*d + 1 + 3, 0 = 2*y + 5*d + 9. What is the remainder when 22 is divided by (y*3)\/(6\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 - 2 = 2*m, 4*m = 4*x + 4. Suppose 0 = -5*y - x*w + 413, 4*y - 318 = 2*w + w. Is -1*(-2)\/(6\/y) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 20*t = -15. Solve -5*i - t*d - 20 = 0, 0 = i + 4*i - 5*d - 30 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-11)\/o*o)**(-14)*o\/((o\/(o*o\/((o*(o*o\/(o**26\/o))\/o)\/o)*o))\/o)*o\/o**(-4) assuming o is positive.\nAnswer: o**173","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2421*g - 21815. Let r be o(-9). What is the second biggest value in -5.2, r, 2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(sqrt(12) + 1) - 3*(sqrt(6)\/sqrt(2)*-5 + sqrt(12)\/sqrt(36)))**2 + 1.\nAnswer: -8*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 4428*u**2 - 67845*u + 1118250 = 0 for u.\nAnswer: -25, 10, 1491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j + 7. Let m be f(-6). Suppose i = m, -5*v = 2*i - 7*i - 340. Let b = 33 + -15. Calculate the remainder when v is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhdd when four letters picked without replacement from dhddh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9124 is divided by 8060?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7446 and 13209.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 79 + 0 + (1 - -3). Suppose -18 = 5*n - y. Is n >= 62\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/(-504)*(-6)\/36*7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 636193*u**3 + 3*u**2 - 53810*u.\nAnswer: 3817158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/(-4))\/(-3)*-12 and (9 - -1) + 9\/(63\/(-35))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*p + p**2 - 672 + 672 + 73*p.\nAnswer: p**2 + 356*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531 + -2647\/5. Let z = 12338\/5145 + 2\/1029. Factor 2\/5*a**4 - y*a + 2\/5 + z*a**2 - 8\/5*a**3.\nAnswer: 2*(a - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - l + 2*l**2 - 2*l**2 + 1 - 3*l**2. Let o(i) = -2*i**3 + 6*i**2 + 6*i - 6. What is -o(c) - 6*y(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(15)\/sqrt(5)*1)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 236715 = 4*m - 236594, -5*i = -5*m - 155 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from ggegggggegeeeg?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, m: 4, r: 4}. Give prob of sequence rmrr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmommmffmffemom. What is prob of sequence oo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 21*c**2 + 107*c + 28. Give y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001142563 to five decimal places.\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5\/3 + 1813*l**4\/3 + 17564*l**3\/3 - 28336*l**2\/3 - 175680*l - 333312 = 0. What is l?\nAnswer: -8, -4, -3, 28\/5, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Let v(a) = -2*a + 36. Let q be (-44)\/(-4) - (-4 - -6). Calculate the remainder when v(q) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)\/(2 + 1 + -2). Let w be b\/4 + (-2 - 180\/(-16)). Solve w - 3 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/12 + j**3\/3 + 7*j**2. Let m(y) = 4 + 4*y - 2*y - 2. Calculate -5*m(p) + 4*o(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*c**4 - 858450*c**3 - 1030380*c**2 - 412184*c - 54960.\nAnswer: 2*(c - 3435)*(5*c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -112751 at least as big as 608\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:41 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 0*r + 3*s = 5, -r + 3 = s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6601 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -59*18.753\nAnswer: -1106.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 22 = -85*p + 87*p, 5*p + 4*d - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 859.\nAnswer: 5\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 43.\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.014009517 - -6.014. Round q to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 424.2448nm?\nAnswer: 0.0000000004242448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6193754 is divided by 5927.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1013832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 74. Let r = -6 + u. Calculate the remainder when r is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -10*h + 14. Solve -2 = -3*d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -24 + 5. Suppose 207 = -5*a + 567. Let x = a - c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*o - 5 + 21, 4*o + 14 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 + p. Let v(g) = -8*g**3 + 5*g**2 + 5*g. Calculate -15*l(y) + 3*v(y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 46867.02 to the nearest 10.\nAnswer: 46870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*a + 361*a - 14709 - 3051 = -98*a for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 3*k**3 - 1461*k**2 + 8205*k - 6750 = 0 for k.\nAnswer: -25, 1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + y)*(-5 + 2 + 2 + (3 - 2 - 2)*(2 + 1 - 2) - 3 - 1 + 2 + 4 - 2 - 1)*(-y + 2734 - 5235 + 3416) to u*y + r*y**2 + g and give u.\nAnswer: -2745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrrrrrr. Give prob of sequence fr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1184, 2388, 3592, 4796, 6000, 7204?\n\"Answer: 1204*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 510, 779, 1056, 1341?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2289246413\nAnswer: -2289246412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 227 and -0.016.\nAnswer: -3.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 852 - 2491\/3. Let i = -22 + h. Let v = -2 + 1. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 = -4*y + 663. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224 - n**2 - 1185*n**3 + 10846*n - 3612*n - 25*n**3 - 3619*n - 3617*n wrt n?\nAnswer: -7260*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2. Let a(k) = -k + 10. Let x(u) = -2*a(u) + 10*f(u). Let n(m) = 1 + 62*m - 26*m - 10*m. Give x(n(g)).\nAnswer: 52*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1126 + -4?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - r + 320 = 0, -360*i + 360*i - 3*r + 14 = 2 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (43282\/268 + (-16 - 0))\/(3\/17606) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(28)\/sqrt(4)))\/(sqrt(3) + (sqrt(108) - (sqrt(108) - 2*sqrt(108)))) + 3.\nAnswer: sqrt(7)\/13 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -80*j + 164*j - 86*j. Suppose t = -4*t + 20. Let n(w) = -28*w + t*w - 6*w. Calculate r(n(k)).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5822\/3 - -1941. Let a(c) be the first derivative of -17 + 0*c - 13\/5*c**5 + v*c**3 + 0*c**2 + 0*c**4. What is the third derivative of a(y) wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.223459.\nAnswer: -0.4893836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-7)*c))\/c*c)\/c**(-2\/25)*c**3*c**3*c*((c*c**(-2\/31)*c*c)\/c**(-3))**33 assuming c is positive.\nAnswer: c**(162712\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3 + 12 - (15 + -9). Let a = -0.2 - -0.2. Let p(c) = c**2 + 9*c + 9. Let k be p(-8). What is the closest to 1 in a, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8213927?\nAnswer: 139, 59093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236 - 230. Suppose -143*n - n**3 - 31*n**2 + 0*n**3 + 169 + x*n**2 = 0. Calculate n.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = 5*n, -5*n + 248*g - 246*g - 2 + 38 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Suppose 2*q - 25 = -0*q - r*t, 0 = q + 2*t - 12. Solve -p - 3*n + q = 0, 7 = -3*p + 4*n - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -129, -126, -133, -156, -201, -274, -381, -528?\n\"Answer: -r**3 + r**2 + 7*r - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 4*h - b, -2*b = -3*b. What are the prime factors of h?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -4591700?\nAnswer: -45916a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*f**2 + 60*c**2 - 1574*f**2 wrt c?\nAnswer: 4*c*f**2 + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965 is divided by 590.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215.2 - 194. Let f = 145 + -124. Let k = c - f. Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 3, 29, 75, 147, 251, 393, 579?\n\"Answer: p**3 + p**2 + 2*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164 and -3.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 15, 5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2711 - 2712. Let p(f) = -f**2 - f - 1. Let n(j) = j**3 - 3*j**2 + 5*j - 2. Determine d*n(y) + 3*p(y).\nAnswer: -y**3 - 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n**3 + 163*n**2 - 231*n - 54.\nAnswer: -66*n + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2835176 or 2835182?\nAnswer: 2835176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iik when three letters picked without replacement from ikiikk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n + 573. Let w be x(-15). Calculate the greatest common divisor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*h + 67*h + 215*h)*(h + 2*h - 2*h) - 3 - h**2 + 3 in the form b*h + p*h**2 + q and give p.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z - 3. Suppose -4*g - 3*q = -18, g = -3*q - 2 + 11. Suppose -4*f - g*k + 4*k = -10, -2*k = 4. Calculate r(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168.3 + 205\nAnswer: 36.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24\/236861?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17167.43 microseconds in nanoseconds?\nAnswer: 17167430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392\/9 + -521\/9. Calculate the common denominator of (1 - 0) + (-1)\/(-8) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + j - 38. Let g be n(0). Let l be (-12139996)\/(-10) + g\/(-95). What is l rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9848 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -21.4\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 4, -0.05, 27, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Suppose h + n = -2*n + 2, -3*n = -4*h + 8. Suppose h*w = 19 + 5. Let f(b) = 12 - w + 4*b. Calculate p(f(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -14. Suppose 2*t = -2*t + 28. Suppose -2*u - t + z = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 22, 20, 16, 10, 2, -8?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-18))\/((-2)\/4). Let h be (0 + (-2)\/(-4))\/(-2). Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 7. Let x be i(-4). Suppose -r - 2*q = -6*q - 15, 4*r = 2*q + 18. What is the third derivative of 3*n**r - 3*n**2 + n**x + 8*n - 8*n wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 - 2*u + 4. Let m be x(2). Let j be (-2)\/(-8) + 91\/4. Let p = j + m. Calculate the greatest common divisor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let i(u) = -685*u**2 + 5*u + 2. Determine k(i(x)).\nAnswer: 685*x**2 - 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11542*u. Let v(l) = 10*l**2. What is v(n(r))?\nAnswer: 1332177640*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + b - 10 = 15, v = -2*b + 14. Let l = 90 - 21. Let w = l + -39. What is the remainder when w is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*l - 62, -l - 66 - 23 = 4*s. Let h = s - -13. Let x(f) = -5*f + 5. Let c be x(h). What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1527*(-2 + (-15)\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*f**3 - 26*f + 94*f**3 - 92*f.\nAnswer: 18*f**3 - 118*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 394\/19?\nAnswer: 394\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 - 2162*o - 1016. Give p(197).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -7, -5 in ascending order.\nAnswer: -16, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -977, -1981, -2987, -3995?\n\"Answer: -l**2 - 1001*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1715, 3181, 4371, 5273, 5875?\nAnswer: 6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 21 = -3*m + 4*i, 3*m = i + 13. Solve 2*z = -4*l + 10, -2*z + m = -3*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4819938.\nAnswer: 2, 3, 803323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437987539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 32. Let f(s) = -2*s**2. Give f(x(g)).\nAnswer: -2*g**2 - 128*g - 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9\/8, -0.05, -102 in decreasing order.\nAnswer: 9\/8, -0.05, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 39?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259787 = 6084*c - 22511 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.43 - -5.03. Let b = -26 - -29.4. Let j = d + b. What is the closest to 0 in -2, j, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 8*y - 9. Let h = -23 - -17. Calculate q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 0. Let g(c) = -c**2 + c. Let f(i) = -i**2 + 9*i + 6. Let w(l) = f(l) - 2*g(l). Let u be w(d). Which is bigger: u or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**1*v*v)\/(v\/((v**(-2\/3)*v)\/v)))\/(v**(-9)*v*v\/(v\/(v*v*v\/(((v**8*v)\/v)\/v)*v))*v) assuming v is positive.\nAnswer: v**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2\/9 - 1148*k\/9 - 382\/3 = 0.\nAnswer: -573, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 258, 378, 500, 624?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2 - 50535*j + 48148650 = 0.\nAnswer: 1065, 9042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 199 - 399 + 201 - y**2 - y. What is j(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/11 in 0.2, -12, 2\/9, -2\/53, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/(-10)*(-99)\/297)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxx. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21033221123 (base 4) to base 16\nAnswer: -24fa5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 52 + 36 + 2*g + 7.\nAnswer: 2*g - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10303 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/133 equal to 0.1222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -0.032 (c) 2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -4\/5, 0.6409, -3, -1?\nAnswer: 0.6409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in months?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 152262*f - 29651736.\nAnswer: 3*(f - 50948)*(f + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -0.2, 2\/27 in descending order.\nAnswer: 2\/27, -0.2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let c = 3035 + -3033. Sort d, -2, c, 5 in decreasing order.\nAnswer: 5, c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4473258 is divided by 235433.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 160081351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4425 divide 1997723775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -n + 66 + 2, 0 = 4*n - k - 340. Let y be 48\/n + 51\/21. Solve y + 5 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20001374*h + 5670406 wrt h.\nAnswer: 20001374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/6 - 5042*h**3\/3 + 15155*h**2\/3 + 247058*h\/3 - 494263\/2 = 0.\nAnswer: -10087, -7, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 314 + -312. Suppose x*z - w - 38 = 4, 5*z + 2*w = 96. What is the least common multiple of 30 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 10*d - 20. Solve 3*f + 5 = -d*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 15}. What is prob of sequence mn?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**21\/g)\/g)**(2\/93) assuming g is positive.\nAnswer: g**(38\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 8}. Give prob of sequence vss.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -16, -471.\nAnswer: -471, -16, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.6 times -3.1?\nAnswer: 411.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/5 + 179874*k**2\/5 + 17646476*k\/5 + 6914688 = 0. Calculate k.\nAnswer: -96, -2, 90035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 133578 equal to 534307\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367104 divided by -122368.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*5*(-4)\/(-40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkkkkk. What is prob of sequence kk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 4*o**2 - 2*o)*(2859 + 120*o - 2859) in the form t*o**2 + a*o + z*o**3 + s and give z.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3949 - -7776. Suppose -a - 3*f = 4*a - i, -5*a - 2*f = -3823. Is a a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -57*z**4\/4 + 2*z**3\/3 + 99*z - 394. What is the third derivative of b(r) wrt r?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let x be i(5). Suppose 2*o = 2, -4 = 2*p - x*o - 15. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*z + 1500, -5*z - 2*d = -9*z + 1200. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 5. Let l(i) be the third derivative of -i**3\/6 + 4*i**2. Let a = -47 + 46. Calculate a*k(p) + 6*l(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -29, -22, -13, -2, 11, 26?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = 19. Let w(b) = 4*b**2 - 2. What is the remainder when w(-2) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34655 divided by 1195\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 25*u - 4*u + 3*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15515 + -31031\/2. What is the nearest to -12\/7 in 3, w, 0.06, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2428 (base 9) to base 3\nAnswer: -2110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Determine m, given that -2*m**2 - 2*m**k + 2*m**2 - 2*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133352399 divided by -97\nAnswer: -1374767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6283943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(1 + -3). Suppose 4*b - 4*h = -1112, 3*h = -5*b + 9*b + 1114. Let n be (-12)\/(-7)*b\/(-80). What is the nearest to g in n, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -201*k**5\/20 - 17*k**3 - 2*k - 32. Find the second derivative of w(d) wrt d.\nAnswer: -1206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 8:38 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5\/20 + s**4\/12 - s + 2. Let w(x) be the first derivative of h(x). Factor w(o).\nAnswer: o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-12))\/(-7) - (-26)\/(-8). Let x(t) = 3*t + 14. Let w be x(l). Suppose 2*g + w = -3. Is g smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002085 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = q - 26, -417*g + 418*g = -43*q + 818 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1212\/(-1010))\/(16\/(-10) - -1). What is the least common multiple of 87 and 20054\/370 + o + (-22)\/10?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1043 + -1046. Let a(h) = 3*h**3 - 3*h**2 - 3*h + 3. Let v(d) = d**2 + d - 1. Calculate r*v(q) - a(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -15*v**4 - 8*v + 20 - 14\/5*v**5 - 24*v**2 - 86\/3*v**3. What is x in y(x) = 0?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0 - 15. Differentiate 46 + q*k - k - 50 with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 8*q = -15. Let m = 2136 + -2136. Solve m = -q*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00847447 to 5 dps.\nAnswer: -0.00847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 17\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 125.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1614, -3183, -4748, -6309?\n\"Answer: 2*l**2 - 1575*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*m**2 + 75*m**2 - m - 152*m**2)*(2*m - 4*m + 3*m) to the form f*m + r + i*m**3 + l*m**2 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*h - 3*h. Let m(g) = 47*g**3 + 2*g**2 - 1. Let s be m(h). Suppose 3*q = 0, -q = -3*f - 2*q + s. Solve 4*i = -0*i + f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/2 + 55*i**3\/6 + i**2 + 57*i. Is x(-14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(6\/(-3))\/6. Let q be u - (-4 - (-4 + 1)). Solve 7 - 22 = -q*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a*a**0)**(-26) assuming a is positive.\nAnswer: a**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 531*p*u**4 + 4*p*u**2 - 41341*p with respect to u.\nAnswer: 2124*p*u**3 + 8*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 15, 64, 165, 336?\n\"Answer: 3*x**3 - x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/(-6))\/((-10)\/30) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15758817 and 30.\nAnswer: 157588170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 5*l - 148, 706 = -p + l + 734 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 12 + 21*p - 9*p + 4 + 8.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 3. Suppose -15 - 15 = -5*y - 5*s, 5*y + 4*s = 26. Let u(h) = -g*h - 4*h - 3 - h**y + 2*h. Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -46*i - 2. Let j(c) = 6*c. Let d(t) = 5*t. Let n(z) = 5*d(z) - 4*j(z). Calculate n(l(u)).\nAnswer: -46*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 288023 (base 9) in base 16?\nAnswer: 2b137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -30. Let b(h) = h - 10. Let q be b(k). Let i(y) = q*y**2 - 6 - 6*y**2 + y**3 + 11*y - 11*y. Give i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/12*6\/(-60)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -20*k - 158. Calculate i(-17).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (2*sqrt(192) + sqrt(192)))\/((sqrt(32)\/sqrt(4))\/sqrt(2)) + (-1*sqrt(288))\/(sqrt(486) - sqrt(486)*2))**2.\nAnswer: 4624\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = 4*j. Let f = j + 2. Solve 0 = -s - f*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 21*t - 28. Let k = 8 + 11. Let a be s(k). Find z, given that -7*z**2 - 4*z**3 + 5*z**3 - 4*z**3 + 3*z - 3*z**4 + a*z**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsiihbbf. Give prob of sequence fhi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 a when four letters picked without replacement from {d: 2, a: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 5. Let f be o(0). Suppose 5*l + 7 = -g, -2*g - 5*l = g + 1. Suppose -5*k + 6*a + 17 = g*a, f*a = 5*k - 15. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -19*a - 8. Let d(b) = -495*b - 210. Let f(r) = 4*d(r) - 105*x(r). Let w(v) = -5*v. Determine w(f(p)).\nAnswer: -75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 9 - 3 + 4)*(7 - 3039*d**2 - 2*d + 6082*d**2 - 3042*d**2).\nAnswer: -3*d**3 + 16*d**2 - 41*d + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -133*b**5\/20 + b**4\/3 + 123*b**3\/2 + 3*b**2\/2 - 2*b - 114. Find the second derivative of r(t) wrt t.\nAnswer: -798*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*j - 116, 2*g - 5*g + 4*j + 76 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 - 567\/(-84))\/((-1)\/(167031 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1811 + 1?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 475949810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38918884 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2\/3 + 400*k\/3 - 10000\/3 = 0. Calculate k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 31. Let d(t) = 1. Give 4*d(b) - s(b).\nAnswer: 2*b - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620*f + 20394 = -398*f + 59*f + 985*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d)\/d**8 assuming d is positive.\nAnswer: d**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/61))**(-48) assuming h is positive.\nAnswer: h**(-2976\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 274 = 179*b - 198 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/60*2210\/(-3094)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2955 + 1480.7045. Let g = q + -1487.43. What is g rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10351 + -6151. Does 105 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631231971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12\/7 of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2792*z**2 + 2*z - 11079.\nAnswer: -5584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*t + 453 - 381, -4*t + 3*t = g + 8 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328\/795 - -2\/159. Let n be 22\/(-24) - (-2)\/8. Let r be 4\/14 - (-22)\/(-77). Which is the nearest to r? (a) n (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 0*u - u + 0 + 4. Let j be t(2). Let x be (-1)\/(18\/15 - 1). Put -4, x, j in ascending order.\nAnswer: x, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 303200111 (base 4) to base 10\nAnswer: 210965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 4*v - 3. Let a(m) = m**2 + m. Let r(g) = g - 33. Let w be r(34). Give w*u(y) + 4*a(y).\nAnswer: y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 62114?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 219 = -0*d. Suppose 3*v - 5*k = 2*v + d, 5*v + k = 495. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*h**3\/3 + 10*h**2\/3 + 4*h\/3.\nAnswer: -2*h*(h - 1)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 7*n**2 - 13*n - 4*n**2 - 26 - 8*n. What is the hundreds digit of u(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6945642 a multiple of 1063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7859034 and 1606?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**2. Let z(c) = 3*c - 3530. Give j(z(a)).\nAnswer: -72*a**2 + 169440*a - 99687200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 65\/(-15))*6\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + h + 2*h - 4*h + 0*h + 5*h + (5 - 4 + 1)*(-3*h + 1 - 1))*(-7 - h + 14 + 37)*(3 - 4 + 0) as o + g*h + p*h**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-17)*1\/((-4)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 32*f**2 + 15*f**2 + 10*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 8*d + 5*d)*(3*d - 7*d + 2*d + (1 - 2 - 1)*(4*d - 2*d - 3*d) - 2*d + 2*d + d + 2*d + 0*d + 4*d).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 + z - 2. Suppose 2*w - 34 = -3*b - 56, -4*b = 8. Let a(g) = -11*g**2 + 2*g - 6. Determine w*q(s) + 3*a(s).\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (30*77\/(-770))\/((-1)\/(-6)*(-3)\/(-6))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:44 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*j = 309*j - 8872. Is 73 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1877404, -1877402, -1877400, -1877398?\n\"Answer: 2*j - 1877406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m + 140 = 5*g, 0 = -g + 4*m + 12. What is the remainder when 314 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434744683?\nAnswer: 434744683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 66598\/3350 + (-12)\/(-100)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.03 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(121) + sqrt(121) + (-2*sqrt(121) - sqrt(121) - sqrt(121))*-4)\/(sqrt(132)\/(sqrt(48) - sqrt(12)) + sqrt(11) - 3*sqrt(539)).\nAnswer: -23*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40669 * -0.4.\nAnswer: -16267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6999, 6022, 5037, 4044?\nAnswer: 3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538493 to the power of 1\/2, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 7 + 13*q - 3 - 6*q wrt q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 - 9\/3*(-22)\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 1830469 = 7*v - 1038539. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3493943 * -0.4\nAnswer: 1397577.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 3*y + 72 = 0. Calculate the lowest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.513 - -0.087. Let z = -5.6000392 + a. Round z to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 35 = 2*a, -2*a - 3*b - 10 = -7*a. Suppose -a*d - 18 = w - 0, 4*d = 4*w. Let i(t) = t**2 + t + 1. Let f(x) = -1. What is w*f(h) - 2*i(h)?\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -48 (b) 14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 2, 1\/2, 489, -16, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -5, 2 in ascending order.\nAnswer: -5, -3, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 4*j**2 - 7*j + 10. Let v be z(5). Let s be (v\/(-3) - 0) + 1. Let l(r) = 27*r**2 - 2*r. What are the prime factors of l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3268 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150 - 140 + 290 - 1290*m to g*m + u and give g.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 3. Let i be 8\/26*1\/2. Which is the third smallest value? (a) l (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58.1 and 0.555.\nAnswer: 32.2455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and 4161.\nAnswer: 1298232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*s - 263 with respect to s.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (301\/86)\/((-1)\/(-2) + 0). Solve m = -s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -7)*6\/24*-2. Let u(s) = -s**2 - 4*s + 7. Let x be u(-6). Suppose -2*f = f + 9. Sort l, x, f in decreasing order.\nAnswer: l, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-156)\/38 + (-28)\/(-266). Let o(i) = i**2 + i - 1. Let s(t) = 2*t**2 + 2*t - 8. Calculate k*o(a) + s(a).\nAnswer: -2*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16691145 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -70*n - 325. What is d(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -626 + 626. Let z = -0.1165 + -4.8835. Let p = 0.09 + 3.91. Which is the closest to k? (a) p (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 0. What are the prime factors of (4 + (3 - f))\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/18 and -38\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgzgzzzgg. What is prob of sequence zzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = 6*i - 2*i, 4*p - 2 = 5*i. Let w be (p + 0)*(-4 - -3). Suppose -w*l = -12*l + 2930. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 7 + 7)*(-3*h**2 + 0*h**2 - h**2 - 2*h**2 - 2*h + 2*h + (4*h + 4*h - 5*h)*(-3*h + 4*h + h) + 0*h**2 + 4*h**2 - 3*h**2 - h**2 + 2*h**2 + 0*h**2).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-10 + (-6 - (-5 - 5)) + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j. What is the second derivative of j*x + 0*x + x**4 - 3*x + x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 12:41 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.28 >= 55292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/706679, 0.3, 1\/3, 1\/11 in decreasing order.\nAnswer: 1\/3, 0.3, 1\/11, -2\/706679, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 160\/(-3) + (-2)\/3. Let o = -30 - l. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9920021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1534*c - 166938 = 1528*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.818435 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*k - 6. Let u = k - -12. Is (7 - u) + (0 - -50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -168 + 53?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58, 1\/8, 0.4, 5?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -23002330333?\nAnswer: -23002330320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(171))**2 + (-1*sqrt(304) + -5 - sqrt(304)) - (sqrt(950) - (sqrt(950) + (sqrt(950)*-2 - sqrt(950))))\/(sqrt(72)*2).\nAnswer: -37*sqrt(19)\/4 + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 21*n + 7*n = 67*n + 3570 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + 9 - (-2)\/((-4)\/(-930)).\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + (-1 + sqrt(1377))**2 + -1 - sqrt(1377)) + (sqrt(1377)*1 + sqrt(1377) + -1 - sqrt(1377)) + (sqrt(1377) + 1)*-5*1.\nAnswer: -54*sqrt(17) + 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -26. Calculate the smallest common multiple of 8 and n*(18\/15)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 33*i**2 + 15*i + 3799. What is d(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2842750875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**4 - 2*j**3 - 6*j**2 + 6*j - 6. Let s(a) = a**3 + a**2 - a + 1. Let l(t) = f(t) + 6*s(t). Factor l(h).\nAnswer: -2*h**3*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 - 4575*g**4 - 23045*g**3 + 40995*g**2 + 372060*g + 496800.\nAnswer: 5*(g - 920)*(g - 4)*(g + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-84)\/16)\/7)\/(1\/(-16)). Suppose -53 - 31 = -b*h. Solve h*z = 3*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 7 + 4, 4*y - 21 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 20 = 5*u, 1 = 5*t + u + 104 - 99 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -41. Calculate the highest common divisor of 363 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -137*r**5\/5 + 70*r**2 + 93. What is the second derivative of y(s) wrt s?\nAnswer: -1644*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 10*w**3 - 258*w**2 + 638*w + 138 = 0.\nAnswer: -1\/5, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -32*d**2 + 8*d. Let q = 11 - 31. Let p = -23 - q. Let s(n) = -11*n**2 + 3*n. Let b(t) = p*k(t) + 8*s(t). Let j(u) = 2*u**2. Determine b(j(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(50\/(-8025)). Let 0*a**2 + 189*a - w*a + 11858 + 0*a**2 + 226*a + 2*a**2 = 0. What is a?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/((-2)\/(-12)). Let s(t) = t**2 - 28*t + 111. Let f be s(23). Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 178 = 2*d, 0 = -o + 3*d + 33. Let u = o + -14. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1180\/17 + -55273\/799. Is o less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjsj when four letters picked without replacement from juujjjujujjsj.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfdddddfddddfdddf. Give prob of picking 1 d and 2 f.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5\/9 + 22*q**3\/9 + 4*q**2\/3 - 56*q\/9 - 16\/3 = 0.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*(m**18*m)\/m)\/m*m*m**(-12)*(m**6)**(4\/17) assuming m is positive.\nAnswer: m**(160\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 12) in base 8?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10491? (a) -0.06 (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 0*m + 2*m)*(5 - 3 + 1)*(14*m + 17*m - 6*m) to h*m + x*m**2 + b and give x.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 62. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 8. Let o(y) = -1. Let m(p) = -5*o(p) + x(p). Let j be m(0). Is 11 a factor of (2\/(-6))\/(j\/99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-10) + (-98292)\/(-163740))\/((-6)\/15). Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 229*m - 244*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 63284*q**2 - 45*q + 16. Let b be w(16). Round b to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10101684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5787 is divided by 340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 15*t + 73 + 4, -3*m - 16*t - 95 + 12 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from ddddsdmdedezdz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -160, -167, -176, -187, -200, -215?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o. Let h(b) = 21*b**2 - 69*b**2 - 69 + 70 - 49*b**2. Calculate h(l(v)).\nAnswer: -388*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6049.8 + -6050. Let m = 2 - 7. Put j, 2.1, m in increasing order.\nAnswer: m, j, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 153. Let n = -249833078 + 249833281.999594. Let d = n - q. Round d to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 2*g - 3. Let h(u) = -2*u**2 - 2*u + 2. What is -5*h(b) - 4*p(b)?\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -441 + 264. Let c = 261 + x. Calculate the least common multiple of 22 and c.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - -9) + (-1 - -3). Let t(z) = -z**2 - 2*z + 8. Let o be t(-4). Suppose o = -n*q - 0*q. Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 15) to base 16.\nAnswer: -e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 12254 = -41734. Suppose -14*r + 1284 = -d. What is the remainder when r is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqe when three letters picked without replacement from uueuqequeuqquu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-5\/4))**(-36\/7)\/((c\/(c**(1\/43)*c*c))\/c**(-27)) assuming c is positive.\nAnswer: c**(-8980\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r + 52 = 26*r. Let k = 64 - r. Solve 4*i - k = 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3947.014mg?\nAnswer: 3947014000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345039.\nAnswer: 3, 115013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/15 + 7*g**2 - 11*g. What is the derivative of j(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3311 - 3309. Let t(v) be the first derivative of -14 + 9\/2*v**d - v. Give t(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/44901279 and 55\/54.\nAnswer: 269407674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 414.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 187*a**2 + 3*a - 3. Let i(k) = -2*k**2 + k - 1. Let b(c) = -6*i(c) + 2*x(c). Let v(y) = -3*y. What is v(b(n))?\nAnswer: -1158*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -13. Let k be 64 + u*3\/(-6). Suppose o - 95 = -5*w, -3*o - o = -2*w + k. Calculate the highest common factor of w and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108.53 - 106. Round m to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5 + 156*d**4 + 554*d**3\/3 - 372*d**2 + 2559*d. Solve o(v) = 0 for v.\nAnswer: -93, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-159)\/165)*(-1 - 4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n**2 + 3*n - 3. Let k(r) = -88*r + 60 - 407*r**2 - 78*r + 28 + 78*r. Calculate 3*k(t) + 88*u(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(684)*2)**2 - (sqrt(684) + -2)*-1 - ((4 + (-1 + sqrt(684) - sqrt(684)))*6)**2.\nAnswer: -42*sqrt(19) + 2414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37872 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*j - 3*j + 588 = -5036 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -24*s. Let f(p) = -5*p. Suppose -4*i + 4 = -8, 2*j - 17 = -i. Suppose 3 = 5*o - j. Let w be o + -1 - (-1 + 16). Give w*f(d) + 3*v(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82562 and -1362854.\nAnswer: -1445416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -p. Suppose -g + 0 = -p. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + p + 0*p)*(3 - 2*p - 3)*(-226 + 226 + 19*p) to the form k*p**3 + b + l*p + v*p**2 and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 135595.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 18*l + 9. Is c(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-8) + 38\/152. Let x(u) = -11763 + 11763 - 30*u**p. Let z(c) = -c**2. Give z(x(r)).\nAnswer: -900*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95 in 0, 332, -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by 24.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15498196*h**3 + 18228230*h**2?\nAnswer: 92989176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-20)*v)\/v*(v**30*v*v*v)\/v)**(-16\/11))**(-36) assuming v is positive.\nAnswer: v**(6912\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -362d (base 15) in base 2?\nAnswer: -10110011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429223 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021255 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -37*l**2 - 28*l - 46. What is a(-2)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -171*h + 3597. Give m(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*j - 27, -5*j = 2*b - 3*j. Let k = 11 + -1. Suppose 10 = -3*n - 5*g, 5*n + 3*g + 0 = k. What is the remainder when n is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67.179021 and 17840.\nAnswer: 17772.820979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.6. Let s = -69 + 71. Let b be (-9)\/6*(-4 + 2). What is the second smallest value in s, b, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 0.26, 5, 2, 0.3, -1, 123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 19*l**8 - l**4\/12 - 38*l**3\/3 - 2444*l. What is the third derivative of n(d) wrt d?\nAnswer: 127680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24992\/2275 - -506\/325. Let n(v) be the first derivative of v**3\/3 + 3*v**2 + v - 2. Let p be n(-3). Are p and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16422*d**3 + 107*d - 8 wrt d.\nAnswer: 98532*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1043300 * -5\nAnswer: -5216500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 42 - 327 = 0. Let j be (-26)\/(-6)*(w - (-3 + 3)). Let l = 524 - j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -13. Let s be (8\/(-66)*-3)\/(-2). Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2770 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134988 is divided by 227.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4528908?\nAnswer: 2, 3, 125803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52892124 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12524948.49 rounded to the nearest one hundred thousand?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.21106 centuries to millennia.\nAnswer: 7.221106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*j - 5*j = 10, 11 = -5*h - 2*j. Which is smaller: -4\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -95.7. Sort 4, -1\/15, t.\nAnswer: t, -1\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 852\/1*8115\/(-97380)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 11*j - 7 + 4 + 13. Let r be s(7). Let n = 13 - r. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2690349\/314 + 8568. Let n = 5886\/157 + l. Calculate the common denominator of n and -43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 4*c**2 - 3*c**2)*(16 + 0 + 41 - 6 + 4 + 4 + (4 - 1 - 1)*(-1 + 58 - 9)) to a*c + b*c**2 + n and give b.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1.7 (c) -0.12 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166)\/2656*8*(-8)\/(-2)*16*2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 15*k + 535 - 535. Let m(y) = 3*y + 11*y - 32*y + 4*y + 15*y. What is m(u(v))?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 11 = -2*i - 3. Calculate the least common multiple of 88 and i.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 1 + 3 = 125*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10587 is divided by 5292.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10134 + -2506. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 5. Let l(d) = -d + d + 20 + 4*d. Let k be l(-6). Determine t(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 + -319*13\/858?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*i + 2*r = -100*i + 4, 11*r - 32 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 10:47 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17207946 divided by 273142\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -4*m + p, -5*m + 3*p - p = -199. Solve 7*c = -6*c + m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-15))\/(34\/10 + -3). Suppose p*j = -5 - 163. Let f = 47 + j. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42205426, -42205425, -42205424, -42205423, -42205422, -42205421?\nAnswer: -42205420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 13*m**8\/336 - m**4\/12 - 2*m**2 - 12. Let v(f) be the second derivative of b(f). Find the second derivative of v(d) wrt d.\nAnswer: 260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28860 and 3315.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 8*o + 180. Suppose 4*c - 4*l - 28 = 128, c - o = 2*l. Does 16 divide (8\/6)\/(2\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:06 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 651*j**3 - 776*j**3 + 551*j**3 + (-4*j - 2*j + 7*j)*(4*j - 2*j**2 - 4*j) + (j**2 + j**2 - 4*j**2)*(0*j + 2*j - j).\nAnswer: 422*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44298 and 366689.\nAnswer: 6600402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/11*8646\/1572?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -256232 and 0.01?\nAnswer: 256232.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/3 - 3760*d**4\/3 + 5655040*d**3\/3 - 4252590080*d**2\/3 + 1598973870080*d\/3 - 240485670060032\/3.\nAnswer: (d - 752)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1 - -2 - 0). Let t = o + -1. Suppose 2*i - 5*s - 1 + 16 = t, 4*i = -3*s + 9. What is the second smallest value in 2\/9, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -10. Let i = -2\/13 - 5\/52. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(((-9)\/(-66))\/(126\/231))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47087726.\nAnswer: 2, 7, 83, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c - 56. Calculate j(-16).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*x - r - r, 0 = 4*x + 5*r + 25. Suppose x = -0*n + 4*n - 4. Put n, 4, 3 in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) + -2 + sqrt(1568) + 2 - sqrt(1568)) + sqrt(1568))**2 + -1.\nAnswer: 6271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = 5*h - 4*q - 1699, q + 2219 = 5*h. What is the remainder when h is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -84 - 38. Let r = 1832\/15 - n. What is the closest to 0.1 in 0.2, 2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1012152 and 40\/18682639?\nAnswer: 448383336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, w: 15}. What is prob of picking 2 w?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(192) - (2 + sqrt(192))**2) + -2 + -2 + sqrt(192) + 1 - ((2*sqrt(192) - sqrt(192)) + -5 - (3 + -1 + sqrt(192)))).\nAnswer: -196 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -120. Let h = 96 + o. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -76.6\nAnswer: 153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -665, -656, -645, -632, -617?\n\"Answer: a**2 + 6*a - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823434, 823433, 823432, 823431, 823430, 823429?\nAnswer: 823428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -17*g. Let m(u) = 11*u**2. Determine d(m(h)).\nAnswer: -187*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetsecttttttte. Give prob of sequence st.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*b - 1 - 44, b = 3. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 8. Let r be (-4)\/7 - 327\/(-21). Suppose 3*h + 3 = 0, -5*x - 12 = -3*h + r. Calculate l(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*a - 30 - 104, -3*r = 2*a - 40. Suppose 83 = -5*n + i - 3*i, 2*n = i - a. Let o be n\/(-10) - 6\/4. Let w(c) = -c - 12. Determine w(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232220312 (base 4) to base 2\nAnswer: 101110101000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 19*r + 16. Give u(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, -415, -1448, -3031, -5164?\nAnswer: -7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10071? (a) 5 (b) -0.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -2*g**7\/105 + g**6\/10 + g**5\/15 - g**4\/2 + 17*g**2. Let h(j) = 0. What is j?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1*sqrt(119) - sqrt(119))\/sqrt(7) - sqrt(119)\/(sqrt(28)\/sqrt(4)))*-3*-1)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 3\/7, -143?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 24*v = 18, 235 = -p - 3*v + 229 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - x. Let l(t) be the third derivative of -t**5\/30 - t**4\/8 + t**3\/3 - 5*t**2 + 20. Calculate -l(b) + 4*r(b).\nAnswer: -2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 + 9 - -18 - 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 = -w - 10, 0 = 5*w + 5*z + 120. Do w and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y**2 + 2*y + 9. Let n be h(-6). Let g be n\/9 - (1 + -4). Which is the third smallest value? (a) -2 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -19 - (-18 - -41)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 10*o - 5*r + 18, o + r = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 1644*r - 823*r + 69 - 821*r to j*r**2 + q + h*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3052 - 1988. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 7 = -2*l, -21 = 537*l - 515*l + 3*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -203 * 5.\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -350*w**4 - 50*w + 6 wrt w?\nAnswer: -4200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = u - 0*u - 16, 0 = -u - 4*j + 9. Let t = 17 - u. Suppose -3*k + 0*k = -2*v + 6, -4*v = t*k - 12. Solve 4*y + 29 - 9 = -4*a, -3*a - v = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5216014157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 4. Let v(a) = -a**3 - 2*a**2 + 71*a - 42. What is the least common multiple of v(7) and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -22. Suppose g + 2*t = -22 + 26, -4*t = l*g - 12. Let i(x) = x**2 - x - 1. Let f(m) = m**3 - 5*m**2 + 2*m + 2. What is g*i(n) + f(n)?\nAnswer: n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/q*q)**(12\/17)*(q**1)**18)\/((q*q\/(q*q**(-1))*q)**(-5)*(q**(-1))**(-31)) assuming q is positive.\nAnswer: q**(28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-12 - -11) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -33, -59?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 105. Let f be (30\/d)\/(-22 + 3). What is the third smallest value in -0.4, 1, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1854\/360 + (-3)\/(-12) + -5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5393 - 13870795\/2572. Let j = 21857\/12860 + c. Let s = 45\/446 - 13471\/2007. What is the common denominator of s and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24 and -28\/674955?\nAnswer: 5399640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - 12) + 4664\/(-480) + 8 + (-8)\/40. Let p be (-2*1)\/(1 + 0). Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, w: 2, q: 1, p: 2, j: 1}. What is prob of picking 1 w and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.5, -7936?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60069?\nAnswer: 3, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 374, 2 in increasing order.\nAnswer: 2, 3, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + 22*g + 41. Let d(r) = -r**2 - r. Let b(v) = 3*d(v) + m(v). Is b(-20) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(4 - 7 + 2)*(-58*b**3 + 42*b**3 + 42*b**3).\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124*q - 158123 = 2347*q - 5399 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*i + 130536 = 174*i. What is the greatest common divisor of 111 and i?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 221961105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5\/14 (c) 1\/4 (d) 0.4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 140*v**2 + 135*v.\nAnswer: 5*v*(v + 1)*(v + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(114)\/sqrt(150))**2 - (sqrt(76)\/(sqrt(24)\/sqrt(6)))**2)*1 - (-3 + 1 + -5 + (5 + sqrt(19) + -1 - sqrt(19))**2).\nAnswer: -719\/25 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z, -p + 4*p + 2*z - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 182 = -13*x. What is the lowest common multiple of 1*3 - (-12)\/4 and x?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4800*c**2*l**3 - 9921*c**2*l**2 wrt l?\nAnswer: -28800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1292\/14 + (-18)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5233*j*w**2 + 2*j - 561*w**2 - 10*w - 1 wrt j?\nAnswer: 5233*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/5 (c) -0.965\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 >= -324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g - 8. Let l(d) = -d**3 + 3*d**2 + 53*d + 4. Let q be l(9). Suppose 2*m + 13 = 3*t, 3*t + t + 5*m + 21 = 0. Sort g, t, q in descending order.\nAnswer: t, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:25 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 147. Let j = q + 130. Let i = -57.00265 + j. Round i to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 255*f - 7588. What is the lowest common multiple of g(-155) and 44?\nAnswer: 41228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 0*u - 2*o = -16, 0 = 7*u + 7*o + o - 3*o - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13625759 to the nearest ten thousand.\nAnswer: -13630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 55 - 70. Suppose 2*u - 284 = t*j + j, -3*u = -5*j - 429. Let p = u + -33. What are the prime factors of p?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(-2\/71)*b**5\/b**6 assuming b is positive.\nAnswer: b**(-209\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w - 1. Let x = -80 - -77. Let q(z) = -5*z. Determine x*q(g) + 2*d(g).\nAnswer: -2*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74275.209989 + 74261.21. Let t = 14 + k. Round t to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837572.4ng to micrograms.\nAnswer: 837.5724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {w: 5, g: 7, x: 8}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 2197.\nAnswer: -5, -0.3, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**4 - 133*r**3 + 257 wrt r.\nAnswer: 12*r**3 - 399*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -401 + 516.9. Let h = -11.8 - i. Let f = -128 - h. Which is the second biggest value? (a) -0.12 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 + 298*q**4 + 235*q**3 + 7*q**2 + 37408*q - 3 wrt q.\nAnswer: 60*q**2 + 7152*q + 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1064 - 5?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 25 + 152 - 602 = 0 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose 2*a = 2*z - t*a - 50, 5*z + a - 113 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 16*p - 15 - 13*p + 28*p to the form c*p + k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3622689 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4429504 and 2278?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -26666126?\nAnswer: -26666145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -2, 14 in ascending order.\nAnswer: -2, 1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 31373 = 1521. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 0*r + (r + 0*r + 0*r)*(-2 + 3 - 3) + 0*r + 9*r - r)*(-4*r - 4 - 1 + 7) - r**2 - 5*r**2 + 4*r**2.\nAnswer: -14*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*s + 3287 = -175 - 614 - 854 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7\/12*q**4 + 13\/6*q**3 - 11*q**2 + 0*q + 0 + 1\/60*q**5. What is the remainder when 75 is divided by m(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1747\/6 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -845 + 564. Let f = y - -458. Suppose -4*k = -f - 331. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 50. Let z = -37 + 54. Suppose -2*f + 10 = 4*q, -4*q + 2 = 5*f - z. Solve -2*i + u = f*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/210 - 193*s**4\/14 + 111747*s**3\/7 + 4254*s**2. Factor r(u).\nAnswer: 2*(u - 579)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*h = 166*h - 2112. What is the greatest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 + -41\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*a = -0*z - 14, 2*a - 10 = -2*z. Suppose -z*t + 24 = 2*t. What is the lowest common multiple of t and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 58040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*v - 3 + (-2*v - 2*v + 2*v)*(-16 + 6 - 6) + (-1 - 3 + 2)*(0*v + 4*v - 5*v).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 26. Suppose -9 = -g*r + 16. Is 48\/13 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -934*w + 1788 = -80. Factor -2\/9*y**w - 2\/9 + 4\/9*y.\nAnswer: -2*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61225 (base 8) to base 13.\nAnswer: -b644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11184 and 2294118?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 4*r + 4*r - 22743. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from swwwswxsqsfsffwsfsws?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 1\/2, 5, -23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/8*(-780)\/(-117). Let z(n) = 3*n**2 + 3*n. Let f be z(5). Let q = f + x. List the prime factors of q.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:26 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*c = 4*c + 190, 0 = f + 5*c + 67. Let r be (118\/3)\/(13 - 560\/42). Let u = f - r. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 8*f**3 - 682*f**2 + 1346*f**2 - 664*f**2 + 0*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(7\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 15 (b) 5 (c) 2\/7 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100200222112010 (base 3) to base 5.\nAnswer: -2310002343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1421403, 5 in increasing order.\nAnswer: 4, 5, 1421403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87267*b**3 + b**2 + 1343*b + 20?\nAnswer: 523602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaajraiw. Give prob of sequence ar.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.34 - -108.6.\nAnswer: 119.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*r + 32 = 0, -5*g - 27 = 5*r - 87. Let a(b) = -9*b + 4. Calculate the lowest common multiple of g and a(-4).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*z - z - 5 + 1 wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000001 - 110?\nAnswer: -111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - -5) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:10 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17465*f**3*u - 442*f**2*u + 2*f**2 + f*u - 7*f - 3*u wrt f.\nAnswer: -104790*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28895 is divided by 210?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-2*sqrt(78)*1)\/sqrt(6) + 0)*4)**2 + -2.\nAnswer: -192*sqrt(13) + 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23728 and -13.1.\nAnswer: -310836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/(-2)*-4. Suppose 17 = -h - f*m + 7, 0 = 5*m + 20. Suppose 0*j = -2*j + h. Let r(o) = 4*o + 2. Give r(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -142, -177, -212, -247?\n\"Answer: -35*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 + 129. Suppose 0 = -3*g + u*g - 2. Solve 5*k = -f, g*k = 5*f - 0*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0 + 17\/5*k**4 - k**5 + 39\/5*k**3 - 2*k + 7\/5*k**2 = 0.\nAnswer: -1, 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1581988.72672594 and 0.\nAnswer: 1581988.72672594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j**2 - 5*j - 5. Let g be c(-2). Suppose 4*f - f - 3*h = 5748, -g*f + 3*h = -9588. What is f rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112323020 (base 4) to base 16\nAnswer: -16ec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, 2\/13, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h + 5. Let v be i(0). Suppose 0*d - v*d + 50 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 130 - 170 = 0. What is the highest common factor of 70 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/6 - 7*a**3\/6 - a**2\/2 + 163*a - 4. Determine c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.705 - 19.705. Which is the nearest to 1\/5348? (a) i (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 11. Suppose 0*y + 2*y = 0. Suppose 0 = 3*i + 25*i - 84. Calculate the remainder when g(y) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -25. Let s = -9 + o. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991597199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -687a4 (base 12) to base 15.\nAnswer: -2b467","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 29. Let x(y) = y**2 + 4*y + 6. Let r be x(-4). Let c = r - 11\/2. What is the closest to c in -1\/2, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1364\/3 + -3302\/9. Let t = 88 - u. What is the biggest value in -0.3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25729926 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -68 (b) -128 (c) -1\/138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -85*l + 44*l - 21*l**2 + 41*l. Let t(g) = 28*g**2. What is t(h(y))?\nAnswer: 12348*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*p**5 - 396*p**4 - 2076*p**3 + 24080*p**2 - 38928*p + 17280 = 0. What is p?\nAnswer: -8, 9\/10, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -37106*w + 1. Let g be r(1). Let v be (4*-1 - -3) + g. Let d = 69106 + v. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1794 + 1722 = -2*m, 24*n = 5*m - 286 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 22*c**2 + 3*c**2 - 558*c + 19*c**2 to the form w*c**2 + n + x*c + v*c**3 and give x.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 163544*p + 163540.\nAnswer: 4*(p - 40885)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74575 and 25175.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -204*c - 29. Is u(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 405637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5003 divided by 49?\nAnswer: -5003\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/230480 and -43\/143380.\nAnswer: 24661360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b + 0 = -270 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 - 0 - ((-4 - 13) + 7))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*h - 8 = 0, -7*f + 4*h = -2*f - 26. Suppose 4*b - 62 = f*q, -b + q + 82 = 4*b. Calculate the highest common divisor of b and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - v - 13, -2*v + 0 - 4 = 2*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 886\/29681 + 1210\/(-134).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 565.3 in 0, -19\/8, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 12:21 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/4)\/((-1014)\/183) and (-642)\/220 + 53 + (-10413)\/195.\nAnswer: 7436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = 2*v + 3*v, 3*f = 3*v - 15. Suppose -v*i + 648 = 238. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0, 3\/10, -2, 36?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 3*z - 5*z + 5*z. Let c(h) = -7*h. Calculate c(l(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -529?\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:00 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(3*s + 2*s - 4*s) + s + 1 - 1)*(-56290 + 56290 + 337*s).\nAnswer: 1011*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/(-370))\/(1\/((-30)\/(-4))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*l - 7551 + 2589 + 2154 = 8416 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 3*b**2 + 4*b**2 + 9*b**2 as t + q*b**2 + p*b and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6036*n**2 - 4 + 7839046*n**3 + 4 - 7830727*n**3 wrt n?\nAnswer: 49914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1023 and 2904?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zonuouyoonooaaoooooo. Give prob of picking 1 o and 2 n.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455592611?\nAnswer: 43, 53, 199909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1315*d**3 - 2287*d**3 - 2*d - 1317*d**3.\nAnswer: -2289*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -11\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 15*o**2 + 17*o + 5. Suppose -155 = 5*k + 5*b, 0*b - 4*b = 3*k + 89. Let h = k - -49. Is z(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-5)\/((-5)\/(-16)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-4)\/v)*(v\/v**(3\/2))\/v)**(8\/5) assuming v is positive.\nAnswer: v**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -271, -545, -819?\n\"Answer: -274*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-8))\/(46\/(-184)))\/((-54)\/(-28))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/254 and 12\/6 - -7*33\/36?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390207 by 6.\nAnswer: -130069\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*0.3\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 23. Let p be 2\/((0 + 4)\/w). What is the third derivative of -6*d**2 - 5*d**5 - d**5 + p*d**5 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 19*k**2 + 8*k + 17. What is y(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7853 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1829 (b) -4 (c) -0.9 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 - (13 + -1))*101. Let f = -6 + 9. Suppose -f*x + d = 3*w, -4*w + 274 + 145 = -x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 726*w. Let o(p) = -2*p**2 + p + 2. Let h(q) = q + 2. Let g(y) = h(y) - o(y). What is u(g(c))?\nAnswer: 1452*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -40 - (-17 + 1 - -11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 + 12?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1399534096 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6*o = 8*o - 11, t - 19 = -3*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 14*f + 136. Let d be n(-6). Differentiate 22*j**2 + 8*j**2 - 11 - d*j**2 wrt j.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 39*i**2 + i - 2*i + 6352 - 6353. Give p(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(-4 + sqrt(114)\/(-2*sqrt(6)*3) + 0 + sqrt(684) + 0))**2 + -5.\nAnswer: -560*sqrt(19) + 94351\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**3 - 55*q**2 + 52*q + 318. Let o be d(-7). Factor -8\/23*a**2 + 6\/23*a + 2\/23*a**o + 0.\nAnswer: 2*a*(a - 3)*(a - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*sqrt(114)*-2*-5)\/(-2*sqrt(726)*-6*1).\nAnswer: -125*sqrt(19)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*((-49)\/(-2))\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -524430*c**4 - 524582*c**4 + 1 + 1048833*c**4 - 3*c - 2*c**3 + 2*c**2 to i*c**4 + n*c**3 + t + j*c + f*c**2 and give i.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - -2*sqrt(117)) + 3)*3 - 6*(sqrt(117) + -1)*-1)**2*4*6 + 1.\nAnswer: 6480*sqrt(13) + 632017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 7 + (9 - 1 - (-7 - -14)) + -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2. Let u(q) = -3*q**2 - 7*q. Let z(n) = -5*m(n) - u(n). Find the second derivative of z(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 415 - 752?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -1438, -3359, -6184, -9991, -14858, -20863?\nAnswer: -28084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191283667?\nAnswer: 149, 467, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3 + 7)\/(-5) - (-67 - -2) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*b, -3*x + 3*b = -19867 + 7360. Suppose 2*w = -25*o + 24*o + 1037, -x = -4*o - 4*w. What are the prime factors of o?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 214 and 26.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + 7. Suppose 0*s = -4*s + 4*v + u, 5*v = s - 24. Suppose s*n - 460 = -0*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*g - 8*g = -62*g - 4536 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170453 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-28)*(-21)\/(-6). Let j(c) = 3*c - 2. Let p be j(2). Solve -2 - w = -p*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 141. Let o(b) = 70. Give 2*l(f) + 5*o(f).\nAnswer: 2*f + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44329556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 40*d**2 + 5*d - d.\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5831938 is divided by 34508?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000885819 to six dps.\nAnswer: -0.000886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 12647915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*f - 0*n + 5*n, -3*n - 5 = -f. Let c(r) = -2*r**2 + 3*r - 3. Determine c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*-6*3\/12. Let b be (f + 4 - -4) + 2. Suppose 0 = t - r, -2*r + 9 = 4*t - 3. Is t equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + i. Let r(s) = -642*s**3 + 3210*s**2 + 1605*s. What is -1605*n(k) + r(k)?\nAnswer: -642*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(175) + 4)*1*-4.\nAnswer: -20*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 2)*57\/285?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 5 + 16)*(0 + 0 + 1)*(7 + 6 - 2)*(4*k - 2*k - k) to b + q*k and give q.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154403*i*q**3*v - 62*i*q*v + 2*i*q + 9*i + 4*q**3 - 4*q**2*v + 5*q*v + 8*q wrt q?\nAnswer: 926418*i*q*v + 24*q - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 (base 14) in base 15?\nAnswer: d98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z\/z**2)\/((z\/z**(-7))\/((z*z**(-5)\/z)\/z))*((z\/(z**(-2)*z*z))\/z*z*z*z**(-1\/10))**19 assuming z is positive.\nAnswer: z**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 872587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 2:01 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98038083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -91, -99, -101, -97?\n\"Answer: 3*x**2 - 23*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 17464?\nAnswer: -13\/17464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 601*l**2 + 2*l - 2112.\nAnswer: 1202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 2425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 12:32 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 5 (b) -0.1685 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*c + 1. Differentiate c + 69*w - 51*w**2 - 26 + 52*w**2 wrt w.\nAnswer: 2*w + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/26)\/((-15)\/(-10)). Let y = 27.8 - 23.8. What is the fourth biggest value in f, -0.2, 0.1, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641792196 to the power of 1\/2, to the nearest integer?\nAnswer: 25334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7175*t + 7190*t + 300 = 0 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4283451892 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from {y: 4, v: 3, q: 1, l: 7, m: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -285*b - 1706. What is r(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 8*y + y)*(2*y - 6*y + 5*y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -0.14, -11, 8, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 498, -0.2, -2, 4, 5, -61?\nAnswer: 498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6.9. Let b = -131 - -133. What is the fourth smallest value in -3\/4, 0.5, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -11*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12627325 divided by -2\nAnswer: 12627325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3577 = 4875*n - 4826*n. Calculate the greatest common divisor of 4307 and n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -31 + 21 + 8 + 20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + -2 + 3*sqrt(2) + -5 + -6*(-5*sqrt(32) + (sqrt(2) - sqrt(2)*-2*-6)).\nAnswer: -2 + 189*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.600976622 to 3 dps.\nAnswer: -0.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:25 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/10*5\/(-2). Suppose 19 - 5 = 5*v + 4*d, 0 = 3*d + 12. Suppose -3*s + v = -c - 3, 3 = 3*c + s. Solve 0 = o + 2*o - 3*z, -k*o - z = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10900472 and 16350708.\nAnswer: 32701416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 14. Suppose 3*m + 2 = -4. What is the smallest value in m, r, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13749409*o**5 - 12546982*o?\nAnswer: -274988180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3)*(6 + 42\/(-6)). Let m be f\/10 - 19\/(-5). Let n(h) = -h**3 + 6*h**2 + h - 12. Let z be n(m). Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 12*l**5 + 2320*l**4 - 1564*l**3 - 2320*l**2 + 1552*l = 0.\nAnswer: -194, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in 0, -6, 3, -0.5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16883, -33771, -50659?\nAnswer: -67547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-726))\/(84\/(-385))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/8*4\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 2 (b) 15\/7 (c) 3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a8 - -88?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7221794533 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, 10, 4, -20, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (372\/(-36))\/(((-20)\/6)\/2). Is s at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 4*b**2 + 3*b**2 + (3*b - 5*b + 9*b)*(2 - 2 + 10*b).\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3036 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 3337*t**4\/24 + 553*t**3\/6 + 874*t**2. Differentiate k(u) wrt u.\nAnswer: 3337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10615 and 18\/1265.\nAnswer: 244145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23830.5 + -23828.49994. Let r = k + -2. Let i = 0 + r. Round i to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6490 and -57\/12980?\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (50 - 83) + 70.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -14, 0.0712, 0.06?\nAnswer: 0.0712","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201 (base 3) to base 6.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w + 2*w - 144*w**2 + 139*w**2 + w**3 - 12*w - 7 as c*w + b*w**2 + l + g*w**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-72)\/32*-4. Let p(t) = t**2 + 1. Let k(c) = 1. Determine h*p(z) + 5*k(z).\nAnswer: -2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxxccccccxccccccxc. What is prob of sequence cxx?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000475786133 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10250*o - 51339. Determine c(-5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644326515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45.37047 millennia?\nAnswer: 45370.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 1, w: 1, r: 1, l: 2}. What is prob of picking 1 l and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y. Let p(d) = -2*d. Calculate p(j(r)).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 96*a = 103*a + 37*a + 6432 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -18) + -53 - (-3550)\/175.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4341, -1, -744?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 385 = z, 2*z + 3*u = 5*u - 778. Let v = -275 - z. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 703\nAnswer: -7\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 13*t + 612. Give v(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 96?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 - (-1)\/(-1). Is 2 - (d + (-335 - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 14*z**2 - 12*z + 126. What is j(15)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - t**2 - 3*t + 2*t**2 - 1. Let m(j) = 17*j**2 - 18. Let w(d) = 5*k(d) - m(d). Differentiate w(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0 - 16*i + 1\/20*i**5 + 5\/6*i**3 + 1\/2*i**2 - 7\/12*i**4. What is d(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32052 divided by -6?\nAnswer: 5342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 0.4, 0, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (17238\/(-16065))\/((-4)\/(-5)) and -95\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)\/(q**(-1\/7)\/q)*q**7\/(q*(q\/(q*(q**1*q)\/q))\/q*q))\/((q**(-2)\/q)**(-6))**(-31) assuming q is positive.\nAnswer: q**(3966\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Let u(n) be the first derivative of 2*n + 13 + 6 - 3*n + 8*n**2. Calculate -2*u(f) + 18*x(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Calculate the remainder when -1*(8 + q)*-1 is divided by (-484)\/(-68) + -3 - (-10)\/(-85).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n - 1. Let f(u) = 12*u - 1. Let i(o) = 3*f(o) - 2*g(o). Give i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-253 + 1681 + 99)*(-4*p**2 - 2*p**2 + 5*p**2).\nAnswer: -1527*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0) + 4*7\/28. Suppose 7 = 5*a + 2*r - 5, 3*a + 5*r - 11 = h. Suppose -8*f + a*f + 264 = 0. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7945*y - 21304*y + 263139 = 1374601 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)*(-1 - 74). Let u = 641 + -551. Suppose -5*a - g - g + 150 = 0, 0 = -3*a - 3*g + u. What is the highest common factor of a and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1995 and 34143?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 - 572*i - 8*i**3 + 2*i**3 + 124*i.\nAnswer: 4*i**3 - 448*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -37. Suppose -n + 2 = -5*a + 12, 6 = 4*n + 3*a. Suppose 2*y = -4*t + 22, 5*y = -n*y + 5*t - 5. Solve c = -y*i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*a + 2*h, -3*a + 228969*h - 228971*h + 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 270 = -114. Suppose 3*d = -b + v, 3*d = -b - 2*d + 104. Let r be b\/15*(-1 + 6). What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -4)*2\/2. Let z be n\/(-2)*-2*(-3)\/(-18). Suppose 4*w - w - 9 = z. Solve -2 = s + 4*b, w*s + s - 2*b = 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5. Let d(t) = -1100*t**3 + t**2 + 13. Let o(j) = 275*j**3 - 3. Let v(p) = -2*d(p) - 9*o(p). Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = -43*t + 200. Suppose y = -0*y - 1. Let k(v) = -70*v + 1. What is the remainder when k(y) is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 18807.\nAnswer: 206877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 21*q**2 - 11*q - 4. Let p be n(-10). What is the tens digit of 813\/2 - ((-39)\/p)\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -3, 4 in increasing order.\nAnswer: -9, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c - 18*c + 209728 = 0. What is the greatest common divisor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g - 36. Let p be a(7). Let t be (3300\/21)\/10 - p\/(-21). Solve 0 = 4*b - 2*h - t, -4*b - h - 3*h + 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -21 - 24. Let p(k) = k - 3. Let f be p(q). Solve -2*y - 5*o + f = -18, 6 = 5*y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292623153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33142966 divided by -3242?\nAnswer: 10223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -3, 12, 1, -567 in decreasing order.\nAnswer: 12, 6, 1, -1, -3, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-6))\/(2\/12). Suppose x - 1 = 0, -2*a - 5*x + q = -0*a. Suppose 4*n = 3*n - z + 17603, 0 = 2*n + a*z - 35215. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9383 is divided by 3699?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -578227 - 55.3785?\nAnswer: -578282.3785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 4*a**2 + 3*a - 7. Let n be g(-5). Let t(j) = 5*j**2 - 2 + 2*j - 2 - 2 - j**n. Calculate the remainder when t(4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(1\/(-1) - 0). Suppose -v*a - 1 + 7 = 0. Let u be ((-1)\/4)\/(a\/(-24)). Solve u*n = n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d + 371. Give h(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1138\/19 - 60. Let u be 69\/18*1\/2 + -2. Sort -1, m, u.\nAnswer: -1, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 11. Let i be f(9). Suppose 5*t + 3*n - 77 = 0, -2 = -0*n + i*n. Suppose 2*m = -2*m - t, -3*z - m + 485 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - -4 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5621689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251221\/18 - -13952. What is the common denominator of x and -103\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -3 (c) -0.3 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270514*a**4 - 3*a**3 - 933309 wrt a.\nAnswer: -1082056*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*114\/(-19)*(-2)\/(-222).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaazaazazayaz. Give prob of sequence yz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*h + 2539*h = 121*h - 4188*h - 584714 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046260904 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-1\/42))**(-2\/51)*((l**(-2\/3)*l)\/(l*l\/l**(-1\/2)*l*l))\/(l**(-1))**(-20) assuming l is positive.\nAnswer: l**(-155299\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -9 - 3 - 12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Solve -4*b + 23 = -5*g, 2*g + z = b - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 1 - 1)*(-5128*v + 1812*v**2 + 5128*v) as q*v**3 + s*v**4 + y + l*v + x*v**2 and give s.\nAnswer: 1812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.12792448.\nAnswer: 4.87207552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140242002 (base 5) to base 10.\nAnswer: 712127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3576 = -143*c - 31*c - 124*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6546 (base 7) to base 11.\nAnswer: -1835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 13*a**2 + 6*a + 10. Suppose 26*v + 69 + 308 = 39. Give y(v).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1149.4961 - 1149. Round w to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(125) + 3 + (3*-2*sqrt(125) - sqrt(125)) + sqrt(125) - (6*(1 + sqrt(125) + -4))**2)*-4.\nAnswer: -4220*sqrt(5) + 19284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -2. Suppose 0 = 4*r - d - 9, -6 - 7 = 2*r + 3*d. What is the closest to r in -0.2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 30*s - 296. Let h be m(10). Solve 4*i + 20 = 9*i - h*a, -i + 5*a = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnnnnnnnnnnnpnnnn?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddddddmdmdmd. What is prob of sequence dd?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 4*y - 3 - 4 + 6*y + (4 - 1 - 5)*(2*y**2 + 0 + 0).\nAnswer: -6*y**2 + 2*y - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106437*g - 106192*g = 9555 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 27*j**2 - 210*j - 20. Let i be b(-19). Put -6, -2, i in descending order.\nAnswer: i, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - 5*w**2 - 3*w + 21. Let a be k(13). Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/10 + 5*s**4\/6 + 2*s**3\/3 - 9*s**2\/2 + 10*s - 1. Give n(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 10. Suppose -4*y = r - 9*y + 13, -y = -3*r - 25. Let p be 18\/r*(-2)\/(-3). Is p at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from ooccowhxhxoos.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 + 111100?\nAnswer: 112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52305 and 15?\nAnswer: 52305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/7, -0.4, -0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 588403903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/576 and 71\/48476640.\nAnswer: 290859840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2177430 and -28?\nAnswer: 2177458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 0) + (8 - ((0 - -11) + -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -16 - 30324\/(-1805)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 191 + 188 = -o, 8*o + 5*y = 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyskyykyykkkyssknkn. What is prob of picking 1 n, 1 k, and 2 y?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 (base 6) in base 5?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 9 + 406*y - 1 - 3*y**3 - 408*y - y**2 + y**3. Determine u(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = k + 21060, 5*q - k + 8816 = 61469. List the prime factors of q.\nAnswer: 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -101*y**2 + 5*y + 1. Let r be n(-2). Let z be (-708)\/r - (-1)\/((-14)\/(-4)). Suppose 10 + 2 = 4*s. Solve o = -z + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -104. Let s(n) = n. Let p(h) = 5*h - 7. Let u(i) = p(i) - 3*s(i). Let m(w) = -w + 6. Let a(k) = 3*m(k) + 2*u(k). Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1207*c + 23156. Determine z(19).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-16 - 1 - 9) + 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**2)\/h*h))**(4\/5)\/((h\/h**(18\/7))\/h**(-17)))**28 assuming h is positive.\nAnswer: h**(-2384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, 2*d = 4*f - 3*f + 64. Suppose 3*g - 9 = -5*b, 2*b - d + 29 = -g. Solve 4 = -2*w + 12, -m + 3*w - 8 = b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*t = -86, -t - 112 + 162 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 3*m**2 - 2*m - 1. Let g be j(-3). Let h(n) = -n - 3. Let a be h(-3). Put g, a, -1 in increasing order.\nAnswer: -1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161840*g**2 - 80179*g**2 - 80976*g**2.\nAnswer: 685*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 22 (b) 5 (c) -2\/9 (d) 99 (e) -0.083 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 8088 less than 13?\nAnswer: -8075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.318 + 0.0263.\nAnswer: -0.2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u - 6. Let b(v) = 34*v + 17. Let t(k) = 6*b(k) + 17*x(k). Let c(g) = -33*g**2. Calculate c(t(a)).\nAnswer: -9537*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9)\/((2\/10)\/(9\/30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -17) + -2 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 13. Let z be l(-10). Suppose -2*a + z*a = 36. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 9*z**8\/56 - 5*z**4\/12 - 5*z + 5. Let g(u) be the first derivative of q(u). Find the third derivative of g(a) wrt a.\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102121112220 (base 3) to base 4.\nAnswer: 313303203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -39, 5, 4, -1 in descending order.\nAnswer: 8, 5, 4, 2, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 13, z: 6}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3365\/5*(-2 + 1). Let v = -386 - a. Suppose -v = -4*x + 173. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -0.5 (b) 4 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/5 - 98*l**4\/5 + 96*l**3\/5.\nAnswer: 2*l**3*(l - 48)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {b: 12, q: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3056 + -25565?\nAnswer: -31654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = v. Suppose 3*x + 18 + 1 = 2*y, 0 = -v*y - x + 39. Suppose -y = -10*b + 6*b. Solve -b*c = -2*j + 4, -4*c - 8 = -j - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24607\/4474*1\/22)\/((-10)\/8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 20*w**2 + 20*w + 33. Suppose 25 - 101 = 4*i. What is the units digit of n(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 0.2, 4, -3, 2\/101, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 86, 292, 696, 1364, 2362?\n\"Answer: 11*d**3 - 3*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 - 71. Suppose 7*i - 2*i - w = 0. Suppose 4*a - 54 = -2*u, -3*u - 35 - 16 = -5*a. Calculate the remainder when a is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 5*k**2 + 3*k - 1. Let d be h(4). What is the remainder when 65 is divided by d\/(5\/(-14)) + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 833 - 18351?\nAnswer: -1791c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 15.9731.\nAnswer: 15.6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576288 and 11040.\nAnswer: 2881440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000304 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-120)*(-8*2)\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-63 - -20) + (18 - (-5 + 14))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 0.17602?\nAnswer: 0.123214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - 0.16. Which is the nearest to r? (a) 2\/11 (b) 2\/17 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*t - 14*t**2 + 29*t + 37 wrt t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 - 521. Let d = 307 + r. Calculate the smallest common multiple of 14 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1. Let m(b) = -1. Let h(x) = -x - 3. Let z(t) = h(t) - 3*m(t). Let a(i) = r(i) + z(i). Suppose -37*k = -41*k - 24. What is a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2609823 divided by 11917\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 5) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1009*k + 4 - 1021*k - 4. Let l(t) = 4*t**2. Give l(u(n)).\nAnswer: 576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002011202012 - 20?\nAnswer: 1002011201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2bc5 + -1?\nAnswer: 2bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -82321.4716 from -5.\nAnswer: 82316.4716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/(-7))\/(5\/(-6)). Let s be c\/(-5 + 1) - -3. Solve s*u = -u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o + o**2 - 5*o + (95*o**2 - 196*o**2 + 87*o**2)*(-1 - 1 + 0) - 2*o**2 - 3*o + 3*o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -9. Let i = -8 - x. What is the second biggest value in -1, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35430.6 and 0.4.\nAnswer: -14172.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7f8 (base 16) to base 2\nAnswer: 11111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -1\/6 (c) -84 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/3)*a)\/(a\/(a*a\/(a**(6\/11)\/a)*a)))**(-8)*(a**(1\/4))**17*a**(1\/2)*a**(2\/5) assuming a is positive.\nAnswer: a**(-28921\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/(-4) - 42\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 57?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-5))\/((-12)\/(-30)). Solve -3*z = h*v - 3*v - 2, 3*v + 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2. Suppose 2*s + 2*s + 23 = h, -4*s = h + 17. Let q(k) = -k - 2. Suppose -5*o + 5*t - 30 = 0, -4*t + 6 + 10 = 0. Give h*q(f) + o*u(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243718001?\nAnswer: 17, 29, 31, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4270824 divided by 92.\nAnswer: -46422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 - 29?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25640, 25841, 26210, 26777, 27572, 28625, 29966, 31625?\nAnswer: 33632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, 1 k, and 1 c when four letters picked without replacement from xxckzzkkxzkwkdxkkd?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -27, -49, -77?\n\"Answer: -3*y**2 - 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477 and 54?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*d + 4*d + 16*d + 40 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1959468 rounded to three dps?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5546295.\nAnswer: 3, 5, 59, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15902664 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:55 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, w: 6}. What is prob of picking 2 w and 2 c?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-14)\/(-35) + 1\/10). Does a = 411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1311 - 1870. Let z = q - -559. Let v be (-3)\/(((-3)\/(-2))\/(-1)). Which is the nearest to 0? (a) -6 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - (-5 + 3)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538 a factor of 1266050811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - -112?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s - s)*(-s + 0*s + 2*s) + (-1 - 1 + 3)*(8*s**2 + 13*s**2 - 31*s**2).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*a**3*o + 5674765*a**3 + 79*a**2*o - a**2 - 8*o - 17929 wrt a?\nAnswer: -120*o + 34048590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0063 + 7.1163. Let f = 6.16 - 0.16. Let n = f - v. Round n to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0 (c) -3 (d) -2\/11 (e) -99\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -2116, -4468, -7760, -11992, -17164?\nAnswer: -23276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 divided by 3?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i - 113 = -l, 0 = 4*i + l - 231. Suppose 4*h = j - i + 9, -5*j + 280 = -5*h. Is 37 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-818)\/(-4))\/(464\/(-40)). Let u = f + 156\/29. What is the common denominator of 27\/130 and u?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.101790445 to 3 dps.\nAnswer: 1.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -36*k + 3. Let s be b(0). What are the prime factors of ((-132)\/28 - s)*-35?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49869 or 49824?\nAnswer: 49869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2 - 30 = 0. Let j be 0*(r\/18 + 39\/54). Find the third derivative of 39*o**5 - o**2 + j*o + 0*o - 59*o**5 wrt o.\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/597459 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-54) - 0\/(-4 + -4 + -12 + 12)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11032011031 (base 4) to base 2\nAnswer: 101001110000101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f*h**2 - 2654572*f*n - 11*h**2*n + 15896*h**2 - 2*h*n - 11*h with respect to f.\nAnswer: 8*h**2 - 2654572*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 103 + 59 = -t - 52, -5*t = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*v + 7 + 37, 2 = -a + v. Let g = 11 + a. Let o(d) = -2*d + 55 + 3*d - 52. What is o(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) -3\/2 (c) -12 (d) -8 (e) -0.5 (f) -0.106 (g) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2211030 divided by 81890\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 16) in base 6?\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uaadauuuiudu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 9734*w**2 - 9633*w**2 - 13*w as s*w**2 + m*w + n and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9916.921 + -9912. Let j = z - 0.021. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -3 - (0 + 2 + -6) - -2 and (12\/8)\/(6\/32).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -z. Let o(m) = m**3 + 6*m**2 + 5*m. Let k be o(-5). Is k at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24531 - 21727. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2 (c) -0.5 (d) -4 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 10:44 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1\/4 (c) -2\/147 (d) -3\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/6))\/(r\/((((r\/r**3)\/r)\/r)\/r))*r**(2\/13)\/r**(-7) assuming r is positive.\nAnswer: r**(155\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181\/4 - 4879\/108. Which is the third smallest value? (a) -4 (b) 6 (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(1\/6)*t*t)\/t*t*t)**(2\/15)*t*(t**(-1\/5)\/t)\/t*t**(-3))**(-30))**(-19) assuming t is positive.\nAnswer: t**(-6232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -50 - (0 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -223834\nAnswer: -3\/223834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*b - 1545 + 1153 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/(((z\/((z**4*z*z)\/z))\/z)\/z))\/(((z*z**(1\/2))\/z)\/z)**(-2\/7))**27 assuming z is positive.\nAnswer: z**(729\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/3 + 9*i**3 - 44*i**2\/3 + 5*i = 0?\nAnswer: -15, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47757139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 35*p**2 - 27*p. Let i(j) = j**3 - 18*j**2 + 13*j. Let q(l) = 6*h(l) + 11*i(l). What is the smallest common multiple of q(10) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrh. Give prob of sequence hr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + x + 23 = -7*f, 5*f - 4*x + 10 = 0. Let y(t) = 4*t - 7. Let r(b) = -b - 16 + 13*b - 3*b + 0. Let q(u) = f*r(u) + 13*y(u). Calculate q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/217 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*x - 9*x = -4060. Which is the nearest to x? (a) 1\/4 (b) -2\/11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2235026 - 236?\nAnswer: -2235265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 6*v + 8*v - 1 + 1 + v + (4 + 0 - 5)*(v - 2*v + 3*v) + 5*v - 3*v - 3*v - v + 3 - 3 + (0*v + 2*v - 3*v)*(2 - 3 - 28) + (-1 + 6 - 4)*(-v - 2*v + 5*v).\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17596*t = -17651*t + 2145 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -97 and -101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3 + 5 = -2*t, 2*t - j = 4. Solve -5*b - 35 = -t*n, 2*b + n + 7 - 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 86?\nAnswer: 29\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*y + 13 = 0, 2*x + 2*x + 5 = -y. What is the units digit of 4\/x*(-43)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -313989\nAnswer: -2\/24153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*v**2 - 472*v + 237*v + 232*v + 9*v**2 + 2 as d*v**2 + x + f*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/((-64)\/200) + -4. What is the second derivative of 142*s + 10*s**3 - m*s**3 - 2*s**3 - 22*s**3 - 4*s**2 wrt s?\nAnswer: -210*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 20*q + 7. Calculate the greatest common divisor of 63 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-3)\/9)\/(1\/(-12)). Let s(k) = 2*k**2 + 7*k + 8. Calculate s(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14 - 6)*(-4*u**2 + 4*u**2 - u**3).\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-4)\/(-20)*(-4 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*h - 16, 6*w = 5*h + 2*w - 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t - 9 + 9)*(4*t + 0*t - 2*t)*(-2*t - 2*t + 1 + 2*t).\nAnswer: 56*t**3 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 27*o + 43. Let w = 247 - 231. List the prime factors of u(w).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (2 + -3 + -12 + 6)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.08, 14, 2\/87?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 741208 (base 10) to base 4\nAnswer: 2310331120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, -26\/5, -1\/2 in ascending order.\nAnswer: -26\/5, -1\/2, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2025.1 + 2178. Let y = t - 133. Let h = -20 + y. Which is the nearest to 1? (a) -4\/5 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d - 2*d)*(-113 + 113 - 15*d)*(d**2 - 2*d**2 + 2*d**2).\nAnswer: 90*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s - 4. What is the units digit of f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3946778 is divided by 1369?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -347 + 232.5. Round z to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 16\/29)\/(-50). Let n = 4568\/6525 + r. What is the common denominator of n and -27\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/25, -11.6, 640, 0.2, -1, 3\/7?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 3*d - 3. Let b(l) = 4*l**2 - 8*l + 8. Let f(m) = 3*b(m) + 8*w(m). Let v = -6 - -9. Let j = v - 2. Determine f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308 - 165. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123555 and 35?\nAnswer: 864885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 + 288. List the prime factors of h.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 - 5. Let k(i) = 6*i**2 - 2. Let g(z) = 5*k(z) - 2*r(z). Let o(d) = 3*d. Let u(m) = -16*m. Let t(c) = 24*o(c) + 5*u(c). Calculate g(t(j)).\nAnswer: 256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 + 4*x + 2. Let a be h(-5). Suppose 0 = 2*r, -2*r - 432 = 4*q + 3*r. Let n = q - -120. Calculate the highest common factor of a and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.1, -203, -0.17, 2.9, -0.2?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (121\/(-33) + 2\/3)\/(27\/(-45)). Solve 2*a = w*n + 14, -5*n + 4*a + 3 = 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -929.9075 to the nearest integer.\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323421273.\nAnswer: 3, 7, 5133671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/((-96)\/20))\/((-36)\/48).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21683899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiibbbooobjbbiibiij. Give prob of sequence bo.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc6 (base 16) to base 11.\nAnswer: 22a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 - 15*i**2\/2 - 10*i - 13. Let h be f(-14). What is the closest to 3 in h, 5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4*(-66)\/(-99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g - 67. What is q(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6396\/42 + (-10)\/35 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-7)\/5) + 78\/30. Let w be (72\/3)\/3 - 1. Solve 1 - w = q*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 4, l: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 4:34 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.001 + -0.04. What is m rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 1 - (12 - 7) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 10*q**2 + 3*q + 19. Let i(y) = -y**3 - 5*y**2 - 2*y - 9. Let k(t) = -9*i(t) - 4*m(t). Calculate k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56350 and 735?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2380*l - 75 = -2375*l. Which is the nearest to -0.2? (a) 6 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*d + 3*c, -5*c = 2*d + 27 - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + 1) - (-4 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122840230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 80.894.\nAnswer: 8.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(n*n*n**10*n)))\/n*n)**(-21))**49)**(-29\/4) assuming n is positive.\nAnswer: n**(387933\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 32*g - 157. Determine d(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1744, 3489, 5234?\n\"Answer: 1745*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/30 and -17\/2262.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3263991645 + -26.86.\nAnswer: -3263991671.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1\/22)\/(494\/5928)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3347394 or -3347395?\nAnswer: -3347395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 4. Let h be l(-2). Let v = -104 - -174. Calculate the highest common factor of v and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110 + 1011?\nAnswer: -1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Suppose 0 = 3*f + 2*a + 10, a + 5 = 5*f - 2*f. Suppose 5*u + 0*u - 20 = f. What is the closest to i in -0.2, u, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, -0.3, -418, -1.55?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*i - 110, 3*i = -34*o + 29*o - 75. Let m be (-98)\/(-6) - (-2)\/3. Let u = o + m. Let s(l) = 14*l**3 + l**2 + 2*l + 1. What is s(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/102856 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637, 1324, 2013, 2704, 3397, 4092?\nAnswer: 4789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, -1, -3, 0, 1, 5 in descending order.\nAnswer: 472, 5, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 505*y**6\/6 + y**4\/6 + 3*y**3\/2 - 129*y**2\/2 - 3490*y. Find the third derivative of i(v) wrt v.\nAnswer: 60600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1695068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12782775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4641, 4592, 4541, 4488, 4433, 4376?\n\"Answer: -u**2 - 46*u + 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 4879 = -37*k - 63*k - 1837 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:01 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 6) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -9. Suppose -o + 2 = 3*t, 3*o - 2*t - x = -t. Let y(n) = 2*n**3 - 5*n**2 + 5*n - 1. Let a be y(2). Put o, 4, a in descending order.\nAnswer: a, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*n - 32 = 0, -9*p - 7836*n + 34 = -7834*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvc when three letters picked without replacement from xxzzcvz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -723 - -117. Let h be (-3852)\/10 - 2\/(-10). Let f = h - o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32015 by 5.\nAnswer: -6403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343, -345, -349, -355, -363?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-4)*(-9 + (-1 - (15 - 21))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-2))\/(-1))\/((-870)\/(-232)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 6. Suppose 345 = 24*j - 21*j. Let n = j - w. Calculate the greatest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + q**4 - q**4)*(-5 + 2*q + 0*q - q).\nAnswer: -q**5 + 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose -4*r + 28 = -a*r. Let t(u) = -u**3 - 127*u**2 + 658*u - 251. What is the remainder when t(-132) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 21 = -121. Let c(s) = s**2 - 3*s - 7. Let a be c(5). Suppose -a*y - n = -76 + m, -2*y - n + 37 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -33*a + 302. Let g be v(9). Suppose 0 = -3*o - i + 17, -4*o + 2*o + 20 = g*i. Solve 4*x + 8 = 3*f, -41 = 3*f + f + o*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69.7073019 + 0.26.\nAnswer: 69.9673019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmvfvmfgfgvggfgvvm. What is prob of sequence fm?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2 + 2)*(112*h - 31191 + 31191) to a*h + q + s*h**2 and give s.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, t: 4, d: 5, l: 4, y: 1}. What is prob of picking 1 l, 1 y, and 1 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269412332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203470 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 37*x**2 - 4. Suppose -6*y + 2*y = l - 10, 2*l = 2*y - 10. Is o(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25955\/3 - -8658. Calculate the common denominator of b and -32\/159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -3, 2, 1037, 4 in descending order.\nAnswer: 1037, 7, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3330.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0306 - 396175\nAnswer: -396175.0306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-2)*2\/6*-400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:33 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 40 = 4*x. Let w = -3083\/7 + 439. Calculate the common denominator of w and (-234)\/x*6\/(-36).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 327191929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862 (base 9) to base 13.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185, -191, -209, -245, -305, -395?\n\"Answer: -z**3 + z - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37519, 37518, 37517?\n\"Answer: -i + 37520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let v(r) = -257523*r. Calculate v(d(x)).\nAnswer: 515046*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -392*n + 392*n - 38*n**3 - 2*n**2 - n**2 - 480*n**3 + 496*n**3 + (-2*n - 2 + 2)*(n**2 - n**2 - n**2).\nAnswer: -20*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9223612, 18447222, 27670832, 36894442, 46118052?\nAnswer: 55341662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 6)*(-22)\/8. Suppose -21*x = -g*x + 3. Suppose -3*p = -15 + x. Solve -z = p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/(-598)*(-1)\/(10\/(-65)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696 + 626 = -14*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-3))\/(-6 + 4 + 1). Let f be (p\/2)\/(4\/(-8)). Let o(h) = -5 - 2*h + 1 - 3*h - h**2. Give o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4 + (-3)\/12. Let x = 0 - g. Let h = -16 - -21. Sort -1\/10, x, h in ascending order.\nAnswer: -1\/10, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-5))\/((-55)\/275).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 14. Give w(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.4 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**2\/2 - 3*z - 1. Let k be x(5). Suppose -k*y + 23 + 7 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -176, -203, -268, -383, -560?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -25?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 14. Let d be s(19). Sort 2, d, 4 in descending order.\nAnswer: d, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 + v + 9. Suppose -20*y + 19*y = 38*y - 156. Calculate c(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 49*q + 17. Let r be x(16). Let h(n) = -r - 1 + 4*n + 6 - n**2. What is h(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.75718 + 0.7\nAnswer: 1.45718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186902752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, -3, -8 in decreasing order.\nAnswer: 1, -3, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 17*s - 43. Calculate w(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3807 - -3808. Let p be 1\/(4\/10)*-2. What is the smallest value in p, w, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -1624.49.\nAnswer: -2761.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let h(w) be the first derivative of -w**2\/2 + 49*w + 17. Let y be h(25). Suppose -3*k - 23 = 2*v, -5*k - v - y = -k. Calculate b(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/5 - 188*d**4\/5 + 1668*d**3 + 26158*d**2\/5 + 26539*d\/5 + 1782 = 0. What is d?\nAnswer: -1, 81, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4)*-3)\/(sqrt(12)\/(sqrt(6)*2)) + (0 + (3*sqrt(16)*2)\/sqrt(8) + -2)**2.\nAnswer: -30*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -269*h - 3440. Calculate a(-13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*f**3 - 3948*f**3 - 5309*f**3 - 7344*f**3.\nAnswer: -16987*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37974, 38007, 38088, 38241, 38490?\nAnswer: 38859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -4, -1\/10, -10.8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 7)*(0 + 5 - 3)*(0*t + 0*t + 2*t).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 - 22*j**2 + 12*j + 7. What is the hundreds digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {d: 1, f: 8, n: 3, y: 5, i: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxelrd. Give prob of picking 1 p and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-24)*20 - 6\/(-2). Suppose m = -18*m + t. Solve 2 = -m*j + j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4376 divided by -190\nAnswer: 2188\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*k + 113*k + 20370 = 465*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -6605.\nAnswer: 24\/6605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.521 + -4.051. Let c = -5.53 - z. What is the nearest to 2\/7 in c, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x + 3. Let c be z(-3). Suppose i = 3*s + 5*i - 51, 3*i = -2*s + c. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 times -19498\nAnswer: 7409.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 160\/9*p**2 + 0 - 62\/9*p**4 - 128\/9*p + 4\/9*p**5 + 74\/3*p**3 = 0. Calculate p.\nAnswer: -1, 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llaoallaoa. What is prob of picking 2 a and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-15) - 42\/(-135). Let s = -46 - -80. Suppose -8*u = 9*u - s. What is the second biggest value in u, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 - (-17)\/85). What is the third smallest value in 5178, a, 2\/5?\nAnswer: 5178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-21)\/(1071\/(-816)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z + 88. Let r be n(-4). Solve 4*l - r + 24 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95.87 + 2.13. Let t = -159.775 - -61.818. Let a = z + t. What is a rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1884, -2972, -3256, -2736, -1412, 716?\n\"Answer: 402*g**2 - 2294*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476, -1477, -1478?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54820376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -2243.8212 + -0.1788. Let r = t + 3393. Let v = r + -1148.9457. What is v rounded to 3 dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 5*r - 7. Let q be k(3). Suppose -5*c = -3*l - 2*l - 45, -l = -5*c + q. List the prime factors of 34 + l + 0 + 3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 + -1.5. Let g = -0.007 + 21.007. Let k = g - 19. Which is the smallest value? (a) i (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2643 + 2350.\nAnswer: 4993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104.5 + 105. Let j = 2.2 + -2. Which is the closest to -0.1? (a) 0.1 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 12 - 3*r**2 - 72 + 7.\nAnswer: r**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 285*h - 3 + 52*h - 2*h**2 + 3*h**2 + 72*h to g + b*h + a*h**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37707009 * -0.5.\nAnswer: 0.188535045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -28. Suppose 14*j - 7*j = n. Solve 4*f = -4*d + 36, d - j*d + 2*f = 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9 = -3*a, -4*a + 32 = 4*q - 9*a. Suppose -138 = -q*p - 2*f, -p = f - 22 - 25. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, b: 3, t: 3, z: 1}. What is prob of picking 2 f and 2 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 114*g - 16075. Give w(-82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 14*h - 297 = 0. Let u = -86 - h. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -672 + -3402487.\nAnswer: -3403159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*k + 29. Let n = 2661 + -2650. Suppose 5*l + n = -c, c = -4*c - 4*l + k. Calculate the highest common divisor of 117 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 minus 2492531.46?\nAnswer: -2492912.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -11. Let n = 0.199 + 0.101. What is the second smallest value in n, o, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y + 765 = 10*y - 19*y. Solve y*p - 2*p = 91 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(8\/5))\/(o\/(o\/o**(-17)))*(o\/(o*o*o**6))**(-1\/12) assuming o is positive.\nAnswer: o**(1211\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 3*n**2 - 3*n + 1. Let d be o(-3). Let i be (-2)\/((-4)\/42) - 1. Suppose -5*t + i = -0*t. Calculate the greatest common factor of t and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77774366 + 1?\nAnswer: 77774367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j - 1512251 = -1513790 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 256*d**2 - 4*d**4 + 8*d + 4 + 259*d**2 + 3*d**4 = 0. What is d?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024908961 to 6 decimal places.\nAnswer: -0.002491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -19) + 384\/18?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1398.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1358 - 1363) + 0 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 76. Solve 3*g + 11 = 2, k = 4*j - 4*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10112012 (base 3) to base 15.\nAnswer: b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17373 + -17366. Solve -13 = 2*k - 3*v, 3*k = 5*v - 14 - s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 = -3. Let k = -20 + 18. Put k, l, -5 in decreasing order.\nAnswer: l, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*g - 4*d, 3*g = 7*g + 2*d - 18. Which is the second smallest value? (a) 0.3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j**3 - 47*j**2 - 7*j - 21. Let t(u) = 7*u**3 + 16*u**2 + 2*u + 7. Let w(b) = -6*a(b) - 17*t(b). Give w(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 725 - 724.1. What is the second biggest value in -4, 0.3, u, -1\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 7*n**2 + 10*n - 9. Let o be j(6). Let i = 28 - o. Let t = i - 1. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(0*a**3 + 4*a**3 - a**3) + (-2*a**2 + 3*a - 3*a)*(-4 + 4 + 17*a + (-4 + 0 + 2)*(-16*a - 11*a + 7*a)).\nAnswer: -117*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.8 + 89. Let t = 1.2 - x. Let n = t - -81.9999832. What is n rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3389 or -83.05?\nAnswer: -83.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:31 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 5*t**4\/24 - 15*t**2. Let h(r) = -2*r. Determine h(u(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/5 + 57\/95\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*v = -53, 282 = 2*s + 3*s + 2*v. Let w(b) = 37*b - 7. Calculate the remainder when w(6) is divided by s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2632\/(-8554)*299\/2346?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a - 8. Let o be w(4). Suppose -o = -3*s + 5*c, 3*s - s - c = 20. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, 2\/3, 2, 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i + 8. Let x be b(-6). Let z be (-5)\/x*8 - 0. Solve z*f + 10 = -6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2 - 28. Let o = 14 - v. Let x be 3 + -2 + 2 - o. Solve 10 = -3*b + 4*c, 0*b = -2*b + x*c - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2336 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 11 - v**2 + 0*v + 3*v - v. Let k be ((-50)\/200)\/((-3)\/48). What is h(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 8, i: 2, o: 2}. Give prob of sequence wwwi.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 0)*-5 - (sqrt(3) + (sqrt(27)\/(sqrt(45)\/sqrt(5)) - sqrt(3) - sqrt(3)) + -2 + sqrt(3)*-2))**2.\nAnswer: -232*sqrt(3) + 10096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 9, o: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 + 5*o - 26. Is d(-8) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.47 rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 + (-6 - -12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 1.38\nAnswer: -46.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/15))\/(r*r**(1\/11)))\/(r*r**1*(r\/r**(-2))\/r))\/(((((r\/(r*r**(1\/16)))\/r)\/r)\/r)\/r**3)**(-2\/21) assuming r is positive.\nAnswer: r**(-41903\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 112, 237, 410, 631, 900, 1217?\n\"Answer: 24*q**2 + 5*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11352 and 9460.\nAnswer: 56760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4261787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158899, 158909, 158927, 158953, 158987, 159029, 159079?\nAnswer: 159137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 388420259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 0, 5*a = 13*u - 15*u + 58087. What is the remainder when a is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 196? (a) -9 (b) 2\/11 (c) -0.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 11 = -s. Let m be (-2)\/(-4) + s\/(-10). Is (-44)\/((-8)\/m)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4468171 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(84)\/(sqrt(12) + sqrt(48)\/sqrt(4)) - sqrt(7))**2 + -3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*f - 5*f + 8*f to the form q*f + r and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -89 + 4. Suppose -r = 166*a - 171*a. Suppose -4*x + 3*n = -125, 3*x - 2*n - 49 = 45. Calculate the remainder when x is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 112, -3, -4.\nAnswer: -4, -3, 6, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 280 = -3*p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*c - 3063 + 4646 = 18308 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**2. Let h(n) = 464*n + 757*n - 1236*n + 655*n. Determine k(h(q)).\nAnswer: -4915200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -110054*l + 2 - 2*l**2 + 110047*l - 4. Let x(q) = -q**2 - 3*q - 1. What is -6*p(s) + 13*x(s)?\nAnswer: -s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 19. Is 2 a factor of ((-81)\/36)\/((-3)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let b(r) = -3*r - 21*r**2 + 4*r**2 + 3 - 6*r**2. Let l(h) = -208*h**2 - 28*h + 7364 - 14691 + 7355. Let m(w) = -28*b(w) + 3*l(w). Give y(m(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12284.855124928 - 0.06?\nAnswer: -12284.915124928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-782)\/(-6))\/(31654\/5586).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58.9 + -7.9. Let a = 51.00368 - i. Round a to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21359 = 1437*l + 65906 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 + 11929*r**2\/2.\nAnswer: -r**2*(r - 35787)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, 2\/15, 19\/13, 1 in increasing order.\nAnswer: -216, 2\/15, 1, 19\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 29 - 54 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/((-42)\/(-16)))\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -8, 3*m + 0*b = b + 23. Suppose -m*x = -5*x - 22. Suppose -x*h = -3*h - 840. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.5, 1, -5, 1\/18 in decreasing order.\nAnswer: 1, 0.5, 1\/18, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 8*j - 4. Let d be g(-6). Suppose -5*x + 11*x - 5*k + 440 = 0, -2*k + 8 = 0. Let m = d - x. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = l - 3*m, 2*l + 11 = -m - 5. Let o(a) = -a**3 - 3*a**2 - 2. Let x be o(-3). What is the units digit of 51\/12 - x\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33946398.\nAnswer: 2, 3, 223, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15157 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060184461 rounded to five dps?\nAnswer: -0.00602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9408)\/((-3008)\/(-47)))\/(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.224 - -3.21. Let x = n + 0.014. Which is the nearest to x? (a) -3 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38682232\/273 - -141693. Find the common denominator of 54\/91 and t.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 10. Let g be s(-6). Let v = g + -2. Solve 4*o + 0*o**v - 3*o**2 - 4 + 2*o**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5 + 0 - n + 0. Let t be k(5). Solve t*i + i = 2*m + 1, -m = -5*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3515 or 3672\/7?\nAnswer: 3672\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 8, -4*u - 2*z + 42 = 3*z. Is u >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1034448, -2068863, -3103294, -4137747, -5172228?\nAnswer: -6206743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let d(u) = -56*u**2 + 14. Let n(c) = -c**2 + 4*c**2 - 12*c**2 + 3 - 2*c**2. Let m(z) = 3*d(z) - 14*n(z). Calculate f(m(g)).\nAnswer: -392*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23942 + -23941. What is the smallest common multiple of 4698 and i?\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100 or 700?\nAnswer: 700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 13*n**2 - 10*n + 11. What is w(-14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 145203.8 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zalzzzl. Give prob of picking 3 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607826?\nAnswer: 2, 3, 11, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -69.8. Which is the nearest to 9? (a) m (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8246 - x + 8246)*(2*x + 2 - 2).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -794, -792, -782, -758, -714?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 2*h**5 - 7*h**5 - h**5 + 5*h**5 - 3*h**5 + (2*h**4 + 4*h**4 - 4*h**4)*(h - 3*h + h) + 220906 - 137*h**5 - 220906.\nAnswer: -139*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + 2 + sqrt(500) + sqrt(15)\/(sqrt(243)*1 + sqrt(243)))**2.\nAnswer: -181*sqrt(5)\/3 + 167045\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9b4 (base 12) to base 8\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -27*z - 95. Determine a(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4 - 39. Let i(v) = v**3 - 6*v**2 - 6*v - 4. Let x be i(l). Suppose x = -f + 12. Calculate the remainder when 34 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 95 + 2*v**2 - 48 - v**3 - 42. Let n(r) = -4*r**3 + 7*r**2 - 13*r + 16. Determine -7*b(m) + 2*n(m).\nAnswer: -m**3 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12404 + 0?\nAnswer: -12404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = 4. Let x be ((-6)\/(-21))\/(n\/28). Suppose -38 = -4*i - x*y, 2*i - 6 = 2*y + 16. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {q: 1, a: 1, l: 9, n: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -28*w + 29 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 181345*q**2 + 0.\nAnswer: -181345*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9673.46 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.22 + -24. Let s = u + -0.22. Which is smaller: s or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51133, -5, 3.\nAnswer: -5, 3, 51133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9499, 9446, 9393, 9340?\n\"Answer: -53*o + 9552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 + 12*u**4 + 22*u**3 + 4*u**2 - 24*u - 16 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:58 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqpl when four letters picked without replacement from pltitqiipppp.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11766, 23752, 35750, 47766, 59806, 71876, 83982?\n\"Answer: u**3 + 11979*u - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1333*d - 9 - 1329*d + 9.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-35))\/(-31*34\/(-527)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 32 + 30 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3 - 3 + (r - 3*r + 0*r)*(2 + 1 - 5))*(-9 + 23 + 7 - r)*(-4 + 0 + 3).\nAnswer: 6*r**2 - 126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 - 30113366*p + 75*p**3 + 30113366*p.\nAnswer: 87*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**3*x**3 - 1172*a**3*x - a**3 + a*x**3 - 2378648*x**3 wrt a?\nAnswer: -90*a*x**3 - 7032*a*x - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 2) + 23 + -39 + 10 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8946326 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353 - -354. Let t = -12 + 10. Which is the third smallest value? (a) 3\/7 (b) o (c) t (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 divided by 1?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 115*j**6\/6 - 11*j**2\/2 + 9*j - 185. Find the second derivative of s(u) wrt u.\nAnswer: 2300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1260\/(-189) + (-2)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(750) - sqrt(750)*-1)*2*-6)\/(((sqrt(144)*2)\/sqrt(3))\/(-1*sqrt(1152))))**2 + 1.\nAnswer: 2592001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 207*w - 3. Is 34 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*x + 19*x - 90*x)*(-3*x - 1 + 1)*(x**2 - 4*x**2 + 4*x**2).\nAnswer: 384*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6505\/6 or -1083?\nAnswer: -1083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Let z = -0.005 + -1.995. Sort 0.2, z, i.\nAnswer: z, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*k = -0*k + 315, -r + 3*k + 63 = 0. What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3943*s**2 - 5*s + 5. Let c(l) = -l**2 + l - 1. Give 5*c(f) + y(f).\nAnswer: -3948*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 + 742*i**3\/3 - i**2 - 2228*i\/3 - 1484\/3.\nAnswer: (i - 2)*(i + 1)**2*(i + 742)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 23*n**2 - 14*n + 24. What is p(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -21*j + 16. Calculate f(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 2*k + 2. Give f(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.23. Which is the nearest to 0.1? (a) 4 (b) t (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79519 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 4*h + h)*(5*h**2 + 0*h**2 - 3*h**2) - 1 + 2*h**3 + 1 - 10*h**3 + 8*h**3 + 3*h**3)*(2*h**2 - 5*h**2 + 2*h**2).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/4, 13\/4, 7 in decreasing order.\nAnswer: 7, 13\/4, 3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 8*f + 12. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 450\/(480\/48)*(-2)\/5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - u**4 + 0*u**4 + 25*u**3 - 11*u**3 as q + v*u + o*u**4 + w*u**3 + l*u**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2563 + 1342. Let f(z) = 1704*z**2 + z. Let k be f(1). Let v = k - t. What is v rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**3 - 2*r**4 - 82*r**2 - 2350 + 4661 + 174*r**6 - 2308 wrt r?\nAnswer: 20880*r**3 - 48*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -646, -657, -676, -703, -738, -781?\n\"Answer: -4*f**2 + f - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(8)\/sqrt(2)))\/((sqrt(50)\/sqrt(5))\/sqrt(2)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889679077.\nAnswer: 7, 23, 240259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -9664459?\nAnswer: 9664463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 1. Let q(i) = -7*i**3 + 2*i**2 + i - 3. Let b be q(-1). Determine y(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6453.07096 rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85940*y**2 - 24259*y.\nAnswer: 171880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0264824249 and -0.6.\nAnswer: -0.6264824249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**2 - 7*r**2 - 7*r**5 + 5*r**2 wrt r?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524 - 13756*r**2 - 13766*r**2 + 27523*r**2.\nAnswer: r**2 + 524","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 20*t - 4. Let i be h(-20). Let d be 0\/(9 + -6) + i\/2. What are the prime factors of 4085\/45 - (-5)\/((-45)\/d)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 6. Let a be k(-5). Suppose -6*h + 11 = a. Let q be (-4)\/h - 43\/(-9). Solve -3*f + 4 = -q*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 67 - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -57. Let d = a - 3. Let h(v) = v - 4. Let y be h(4). What is the smallest value in d, y, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6131 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 - -12 - (1 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80355 (base 9) to base 11.\nAnswer: 36723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 86*b. Let r(w) = -21*w - 3. Let d(j) = 44*j + 7. Let y(g) = 5*d(g) + 11*r(g). Give y(t(i)).\nAnswer: -946*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*w + 15 = 0, 4*t - 2*t + 5*w = -10. Suppose -s = -4*x + 14, -2*x + 6 = -3*s + x. Sort t, -4, s in decreasing order.\nAnswer: s, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -40\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {f: 2, q: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 2*o + 2*o. Let p(b) be the third derivative of b**5\/60 - b**3\/3 + 2*b**2. Let l(y) be the first derivative of p(y). Calculate l(x(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o - 1626 = 1060 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (0 + -2 - (-74 - -75)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -960*k - 176742. Give l(-184).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.036 + -0.03634. Round j to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqe when three letters picked without replacement from eiesqisiiiemeeiei?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 13*q - 4. Let f(l) = -l**3 - 7*l + 2. Let n(m) = 6*a(m) + 11*f(m). Determine n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4, -3*g + 4*q - 3 = -2*g. Let r(w) = -g - w - 2*w + 5*w. Let h be r(4). Let n(s) = -s + 3. What is n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22118872.\nAnswer: 2, 31, 89189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70*(-24)\/1980 + (-2)\/(-3). Which is the closest to 0? (a) v (b) 0 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 1274880?\nAnswer: 8924160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45372 to 3 dps.\nAnswer: -0.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22507266 + 3?\nAnswer: 22507269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -5. Let d = -5.4 - -6. Let o = -0.4 - d. Which is the nearest to o? (a) 0.3 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -0.9, -6.2, -1\/2, 5, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 50 = 2*q, -2*q + 0*q - 110 = 5*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from nnnhhhnhhnnhnhhnnh.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20060599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*i**2 + 595*i + 92598 wrt i?\nAnswer: 94*i + 595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 3*y + 1. Let i be h(-3). Which is the nearest to -0.2? (a) i (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251846 = 103*q - 121735. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 2*o + 3*f, 3*o + 3*f - 8*f = 543. Calculate the smallest common multiple of o and 3.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 6*x + 10. Let f be u(7). Suppose -k + 2*y - 17 = -2*k, -3*k + f*y = -15. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 3*f - f)*(-966 - 960 + 1926 - 102*f) in the form i*f**2 + h*f + m and give i.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(2\/3)\/(l*l**(-5\/2)\/l*l*l**(-2\/13)) assuming l is positive.\nAnswer: l**(25\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (198\/816)\/((-3)\/(-20)) and 52\/47.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:51 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*f - 3*f - 17 = -3*f - 67, 28 = 4*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -2 - 0 - (-22 + 41 + -25).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 91 + 12 + 0 + 3 - 2 - 1 - 5 + 4 + 0 + 2 + 0 + (-1 + 3 + 0)*(0 - 1 - 1) + 2 + 2 - 2)*(-5*q**5 + q**5 - 3*q**5).\nAnswer: 588*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033300 (base 4) in base 15?\nAnswer: -17a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130, 667, 1266, 1957, 2770, 3735, 4882?\n\"Answer: 5*p**3 + p**2 + 499*p - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k**2 - 183*k + 4. Give a(11).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6.5. Let p = 0.2 + -0.1. Let m = -0.09 + -0.11. Which is the second biggest value? (a) n (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (104\/(-10))\/((35\/50)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30755*a**5 + 94*a**4 - 4*a**3 + 3*a - 3038719?\nAnswer: 615100*a**3 + 1128*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 67 = -18. Calculate the greatest common divisor of o and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 4*h**2 - 4*h + 2. Let l(q) = -8*q**3 + 3*q**2 + 3*q - 1. What is 4*l(a) + 3*u(a)?\nAnswer: -8*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/350 + o**5\/50 - o**3\/10 - 6*o**2. Determine n so that t(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 2 + 2)*(-3*c - 392*c**2 + 197*c**2 + 206*c**2) to r + g*c**2 + h*c**3 + x*c and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28617, 27729, 26257, 24207, 21585?\n\"Answer: d**3 - 298*d**2 - d + 28915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1134612227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d = -61*d - 36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407016.9 centimeters to meters.\nAnswer: 4070.169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2\/5*y**5 + 48 + y**2 - 1\/2*y**4 - 2*y**3 + 4*y. Suppose d(x) = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/20 + 11*r**3\/2 + 35*r**2 + 6*r. What is the first derivative of o(g) wrt g?\nAnswer: 3*g**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 2, m: 4}. Give prob of sequence mtpm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*q - 773 + 203 - 190 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*o**3 - 338*k**3*o - 54*o**5 - o**3 wrt o?\nAnswer: -12*k**3*o - 1080*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -623\/2 - -312. Let v = 15\/14 + -4\/7. Solve 0 - v*h + q*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-8)\/2)\/(4\/1514). Let r = a + -454. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 11295?\nAnswer: 45180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 590477 to the power of 1\/2, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:47 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -16, 69, 379 in decreasing order.\nAnswer: 379, 69, -16, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01701 rounded to two decimal places?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1735*s - 8 = 1739*s, -5*m = -3*s + 24 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.662148 litres to millilitres.\nAnswer: 3662.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 0.2506?\nAnswer: 2.7494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -11*r**5\/2 + 13*r**4\/6 + 12*r - 3. What is the third derivative of p(b) wrt b?\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/37310 and 51\/29848?\nAnswer: 149240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/100*7)\/((3\/27)\/(72\/(-756)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18 + t + 4*t**2 - 3*t + 19. Determine o(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13520 is divided by 4483.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6 + 4*c**2 + 0 - 10.\nAnswer: 4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0 + 1\/336*h**8 - 12*h + h**2 + 1\/30*h**5 - 1\/210*h**7 + 1\/24*h**4 - 1\/60*h**6 - 1\/6*h**3. Solve a(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15444175 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16503102 and 3402.\nAnswer: 16503102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, -0.39, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69838421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -945\/11 + 86. What is the closest to 1 in b, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 3*v**2 + 58 + 12 + 2*v**3 + 9 + 5*v - 58 to the form j + q*v**2 + s*v**3 + p*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.4 or 5.69?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2\/5*(-105)\/(-84). Let q(v) = -18*v**2 - v. Determine q(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13718 and 80503?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*f**3 - 3*a**2*f - 9*a*f + 2*f**3 - 104*f**2 - f wrt f?\nAnswer: 6*a**2*f + 12*f - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0*z**3 - z**2 + 15*z**2 - 4 - z**3 + 0*z**2 + z. Give c(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + (4 - 3) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n + 3. Let v be y(3). Suppose 2*p + 28 = -2*f + 5*f, -v*p = f - 24. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 85*o - 867. Let i be r(-9). Calculate the highest common divisor of i and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 4 (c) -1 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 3, -20, -79, -192?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3*((-32)\/(-24))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let f = -38 + 25. Calculate the least common multiple of 67 and t(f).\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*j = 5*i, 2*i - 17 = 3*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1004276124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*p + 1 = 98*p. Let g(x) = -x + 1. Let b be g(p). Suppose z - i + 1 = 0, 4*i - 3 - 1 = -3*z. Solve 2*k - 2 + z = b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/15 + 8*o**3\/3 + 20992*o**2\/5 + 1302528*o\/5.\nAnswer: -2*o*(o - 212)*(o + 96)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 9*w**2 - 13*w - 19. Let g be q(-8). Calculate the highest common divisor of 231 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 3. Let a(d) = 4*d**2 + d - 3. Let m(o) = 467*o - 7470. Let z be m(16). Give z*t(p) + 3*a(p).\nAnswer: 2*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -273 + 40*t**2 + 15*t**3 - 45*t + 264 - 13*t**3. Is 18 a factor of j(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6984*n + 4779?\nAnswer: -6984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 5 - 172*w + 5 + 5 - 44 to the form c + h*w and give h.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txwxxkkxwxkxxxxwwt. Give prob of picking 1 w and 2 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11152113*h + 71230698 wrt h?\nAnswer: -11152113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2414 = -2*d - 2352, -3*k = -4*d + 176 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-3 + (3 - 25)). Let r be (16\/(-6))\/(22\/d + -1). What is the highest common factor of 80 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 678 and -1164.\nAnswer: -789192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:58 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*161877.\nAnswer: -64750.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhocu. Give prob of sequence huc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 132\/22*(-2)\/(-3). Solve o*x - 23 + 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfykakfkyfuakfykka. What is prob of picking 2 y and 2 a?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*r**3*t - l*r**3 - 3*l*r**2 + l*r*t + l - r**3 + 54*r*t wrt r?\nAnswer: -12*l*r*t - 6*l*r - 6*l - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 0, -3*n - 23 = z + 20. Let v be (-2)\/7 + 10\/n. Let d(y) = -62*y + 1. Does 14 divide d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1704579118.6?\nAnswer: 1704579120.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*u + 7, 4*u = 4*r + 2 + 6. Solve 5*f + 8 = u*d - 7, -5*f = 5*d - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110233086 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.049381 and 1?\nAnswer: -0.049381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*58*333\/1332\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 - 518*u**3\/3 - 392572*u**2\/3 + 84947672*u\/3 - 56457152\/3 = 0. Calculate u.\nAnswer: -376, 2\/3, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {t: 1, j: 3, f: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-330)\/15)*(-16)\/18\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2285629988 and 2012.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 80. Determine g(-67).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -215\/2, 0.2, -2\/11 in descending order.\nAnswer: 0.2, -2\/11, -215\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/(-12)))\/((-200)\/125)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h*i**5 - 4*h*i**2 + 86*h*i + 2*i**3 - 2 wrt i.\nAnswer: 1560*h*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 5, -21, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24920 + -42568. List the prime factors of -4 - z\/24 - 1\/3.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 574 = 1003 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-32)*12)\/(-825). Let v = x - 4468\/275. What is the common denominator of -81\/14 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 12877 + 4913. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + ((-1360)\/(-84) - (-2072)\/(-259)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l**(-7\/4))\/((l*(l\/(l**1*l)*l*l*l*l)\/l)\/l)**(-2\/47) assuming l is positive.\nAnswer: l**(-43\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/4 - 942857*l + 888979322449 = 0. What is l?\nAnswer: 1885714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057515 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in 4, -154, 0.17, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 980 and 89308576?\nAnswer: 446542880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 265 - -24261255?\nAnswer: 24261542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + k + 1. Let o(q) = -2*q**2 + 15. Let s(l) = -3*a(l) + o(l). Let r be s(7). Let w = -32 + r. Solve m = -v + 3*v + w, -m - 4 = 2*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 20.\nAnswer: -29\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.248? (a) 1\/7 (b) 2\/5 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8097430*v**4 + 27653839 with respect to v.\nAnswer: -32389720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1809 - -1961. Calculate the greatest common divisor of k and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2142541 (base 8) in base 2?\nAnswer: -10001100010101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -0.731?\nAnswer: 2.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-2)\/(-9))\/1)\/((-2852)\/7383) and -64\/3.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n**2 - n - 1. Let f be s(2). Let g be (73 - (2 + f)) + 2. Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147.4 - -147. What is the closest to -0.2 in -1\/3, d, 3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, q: 4, w: 2}. What is prob of sequence oq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 15\/(-5) + (-399)\/(-70). Sort 0, -0.1, -6\/11, r in descending order.\nAnswer: 0, -0.1, r, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10328)\/1291 - (-6)\/(4 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547a929 (base 11) in base 6?\nAnswer: 542100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489231 + 489231 + 2*u - 2*u + 9*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.74 + 37.24. Which is the fifth biggest value? (a) 2 (b) 3 (c) 27 (d) u (e) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 169 - 25 = 0. Suppose 25 - 619 = -11*y. Calculate the greatest common divisor of y and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, l: 3, d: 1}. What is prob of picking 3 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 3*t - 13, -5*k - 10 = -3*t. Which is greater: 9 or k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55\/2 + 29. What is f in 3\/2*f - u*f**2 - 1\/2 + 1\/2*f**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594765*m**2 + 3155*m - 3155*m + 594783*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -3*sqrt(119)*-2 + (sqrt(119) - (sqrt(119)*-2*3 - sqrt(119) - sqrt(119))))\/(sqrt(252)*4)*-6.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7400.953kg?\nAnswer: 7400953000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = 24. Let z = j + 57\/5. Which is the third smallest value? (a) -10 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 6) + (-10 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*(18 + r - 18)*(0*r - 2*r - 3*r)*(2 + 1 - 2).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261523 is divided by 261523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16578 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286.7 + 265. Let l = -1515491216.69999871 - -1515491195. Let y = h - l. Round y to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:02 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -1\/17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k. Let d(u) = -19946*u. Calculate v(d(m)).\nAnswer: 179514*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*b**3 + 2*b**2 + 1617317*b - 609509277 wrt b.\nAnswer: 165*b**2 + 4*b + 1617317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -15*t - 18. Let i be (12\/(-8))\/((-3)\/t). Solve 3*o = 4*o - i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:19 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 34 = -2*u, 2*j - 3*u = -11 + 46. Let o be 84\/5 + j\/(-20). Suppose -3*p + 64 = p. Calculate the highest common factor of o and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -5*u**7\/42 + 4*u**6\/3 - 15*u**5\/4 - 10*u**4\/3 + 40*u**3\/3 + 3*u. Find b such that d(b) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((((-2)\/2)\/(-1))\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3681 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1613\/6 + -2669\/10. Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 5, w: 11, n: 2}. What is prob of picking 1 w, 1 q, and 2 n?\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*c**4*q + 285*q with respect to c.\nAnswer: 328*c**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -526 times -0.07\nAnswer: 36.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1594 - -1594. Solve w = -2*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/135 - 53*h**5\/30 - 79*h**4\/27 + 129*h + 14. Factor k(w).\nAnswer: -2*w**2*(w + 1)*(w + 158)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43\/195 (b) 0.054 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 4*i + 4*i)*(22 - 11 + 73) + i - 4 + 4 + (-5 + 4 + 4)*(-4*i + i + i) to the form z*i + w and give z.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**12*s**(2\/21)*(s\/(s**0*s))**(-40))**18 assuming s is positive.\nAnswer: s**(-1248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/((-4)\/(-12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -307*w**3 - 1194*w - 30*w**2 - 8995*w + 301*w**3 wrt w?\nAnswer: -36*w - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1179 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**3 + 83*x**2 + 75*x - 8. Calculate l(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92\/3*u + 2\/3*u**2 + 30.\nAnswer: 2*(u + 1)*(u + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 17, -17, -87, -205, -383?\n\"Answer: -2*a**3 + 4*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9. What is the closest to 3 in c, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -498, -648, -860, -1158, -1566, -2108, -2808, -3690?\n\"Answer: -4*a**3 - 7*a**2 - 101*a - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsqslstttnsqtst. What is prob of sequence tt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Suppose 5*f - 55 = -4*j, 2*j + 3*f = -2*f + 35. Let g = -10 + j. Solve i*z - 8 = -g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16544, -4, 3, -2, 0, 4 in decreasing order.\nAnswer: 4, 3, 0, -2, -4, -16544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 286, 292, 298, 304, 310?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**2. Let n(p) = 86*p**2. Calculate n(k(v)).\nAnswer: 19350*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52087*y**2 - y - 47486.\nAnswer: 104174*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(sqrt(117) + sqrt(117)*-3)*-6)\/((-3*sqrt(900)*1 - sqrt(900))*3).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 60435\nAnswer: 543915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1341 divided by -447.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzeooqvq. Give prob of picking 2 f and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-34)*166\/249?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26671 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-66)\/(-15)) + (-2544)\/(-5035). Which is the second biggest value? (a) 1 (b) 66 (c) f (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-15))\/((-3)\/15). Calculate the remainder when b*21\/(-6)*1 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose -3*c = -2*v + 4, 0*c + s*c + 16 = 0. Calculate the smallest common multiple of (-264)\/(-42) + v\/14 and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(-6\/23)*g**(-36) assuming g is positive.\nAnswer: g**(-776\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 2*w + w - 77626107 - 11101*w + 77626107 + (5*w - w - 2*w)*(5 - 1 - 3).\nAnswer: -11100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -61*l - 2341. Let f be a(-36). Which is greater: f or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-6 - -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3068653, -3068667, -3068687, -3068707, -3068721, -3068723, -3068707, -3068667?\n\"Answer: t**3 - 9*t**2 + 6*t - 3068651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*i + 55*i**3 - 72*i + 288*i to the form g + t*i**3 + u*i + x*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - u = -2, 4*u = 3*g - 2*g - 18. Suppose 19 = -g*q + 3. What is the units digit of (q + 7)\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.191 + 106. Let r = -1.701 - f. What is r rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 115 - 141 - 4*v + 246. Let q(x) = x + 1. Let w(c) = -6*c**2 - 4*c - 5. Let r(n) = 4*q(n) + w(n). Let a be r(-1). Calculate f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -429 and -7?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/36, -5, 6\/5, 4, 1\/2 in decreasing order.\nAnswer: 4, 6\/5, 37\/36, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -10*w + 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -82 - (1375 - 1400).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794595 at most as big as 4794641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3398\/18 + (-112)\/(-18) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j - 6629 = -20773. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/121179 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13.520151 months?\nAnswer: 0.00112667925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3 + 7*o. Let y(i) be the third derivative of i**5\/30 - 2*i**2. Give y(h(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510131 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:46 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3811972*k + 2552400 wrt k?\nAnswer: 3811972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 519 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 60 = -2*j. Let v be 1\/(-2*j\/(-8)). Let w be ((-3)\/16)\/(147\/98). Which is the biggest value? (a) v (b) w (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1650.9 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 17515*o - 52600*o + 17585*o + 3 + 17557*o.\nAnswer: 57*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvulr. Give prob of sequence lu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -18*s**2 + s - 5. Let d(w) = 17*w**2 - w + 4. Give 5*d(m) + 4*x(m).\nAnswer: 13*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 218797112 divided by 4?\nAnswer: 54699278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6d8543 (base 14) to base 13\nAnswer: a13760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h**2 - 30*h**2 - 34*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-7))\/((22230\/325)\/(-57))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v + 8*v - 23*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-688)\/48 - (-8 + 7)*8.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2406363, 2406365, 2406367, 2406369, 2406371?\nAnswer: 2406373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*6*(-5)\/10. Suppose -2*u + 4*z + 26 = 0, -5*u - l*z + 5 = -z. Suppose u*f + 3613 = 6*f - 5*o, -3*o + 12 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2\/15, -6\/5, -5 in descending order.\nAnswer: 6, 2\/15, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + 8. Suppose -u - l = -3*r - 3*u, 4*r - 4*u = 56. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -246.3, 2, -2, 0.3, -63?\nAnswer: -246.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -755831*q**2 + 23*q + 755834*q**2 - 23*q. Let p(d) = 176*d**2. Determine i(p(j)).\nAnswer: 92928*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 + 12*x**2)*(-93 + 93 + 22*x) - x**3 - 4*x**3 + 2*x**3.\nAnswer: 261*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13950 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a + 63*a - 678 = -149*a + 70*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h - 24. Suppose 19 = -3*f - 2*t, 2*f - 3*t - 21 = 4*f. Let b be (190\/h)\/((-1)\/f). Round b to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.309978 * 0.5\nAnswer: 0.154989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 1 = -q, -3*q - 11 = 2*x - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2) - 240\/112.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(153)\/(sqrt(9) + sqrt(27)\/sqrt(3))) + (sqrt(612) - (sqrt(612) - -2*sqrt(612))).\nAnswer: -23*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p - 1. Let u = 11 - p. Suppose 0 = -25*l + 61 + 14. Calculate the highest common factor of u and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 925 by 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -32, -7, 2 in decreasing order.\nAnswer: 5, 2, -4, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from jstftj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f - 63219 + 61651 + 9*f to the form t + c*f and give t.\nAnswer: -1568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 + -0.33. Let f = 1898 - 1898. Which is the closest to 1? (a) f (b) -2.7 (c) w (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98965 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 4*s + 7. Let j(o) be the second derivative of o**3\/3 - 3*o**2\/2 + 2*o - 79. Give -2*f(z) - 5*j(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w. Let d(f) be the second derivative of 5*f**3 + 21*f. Calculate d(r(u)).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1957*u**6\/30 - 491*u**4\/6 + 2607*u. What is the third derivative of j(p) wrt p?\nAnswer: -46968*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 8*g - 31 = 3*g, 5*g - 15 = 0. Solve 5*z = w*p - 3, 0 = -3*z + 2 + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/175)\/((-38)\/1235)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 + 11?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -8 + -5 + 16. Which is the closest to -1? (a) g (b) -2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 767253 by 87.\nAnswer: 8819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhv when three letters picked without replacement from ivhud?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121) - (sqrt(121) - 2*sqrt(121))) + sqrt(121) - sqrt(121) - sqrt(121)))*5)\/(sqrt(33)\/sqrt(3)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2232256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Suppose 15 = -2*f + v. Let q = f - -13. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 325 + 701741?\nAnswer: 702266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66691115 is divided by 57.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpph when four letters picked without replacement from {z: 5, p: 4, h: 4, m: 6}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -78 + (-61040)\/(-784) + (-34)\/14\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 49. Suppose -2*v + 198 = -5*u + 829, -4*u - s*v = -516. What are the prime factors of u?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 4*o - 14*l - 36, o = -5*l - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 2, i: 2, k: 5, e: 2}. Give prob of picking 2 x and 1 e.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + i - 6)*(5*i + 0*i - 2*i).\nAnswer: 3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 23 = 3*i - 5*l, 0 = -3*i - 5*l - 44. List the prime factors of (i\/(-8))\/(21\/1624).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -38. Let y = 24 + f. Solve -3*g + y*b = -25, -2*g + 3*g = -b + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21302*s + 1 - 1 - 380*s**3 + 15161*s wrt s.\nAnswer: -2280*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.58*-1.42\nAnswer: 2.2436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 21*g + 221. What are the prime factors of x(37)?\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211.3 or -2?\nAnswer: -211.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -3, -11, -2, 2\/7, 12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401082.9 kilometers in millimeters?\nAnswer: 401082900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9395 and 3?\nAnswer: -28185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1663, -1659, -1651, -1639, -1623, -1603, -1579?\n\"Answer: 2*r**2 - 2*r - 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37830*c + 37448*c + 12606 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*s**2 + 112*s**2 + 4*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100806619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*g**2*u**2 + 2*g**2*u - 282*g**2 + 548*g*u**2 - 2*g*u + u**2 + 63 wrt g?\nAnswer: -228*u**2 + 4*u - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13885 = -3*n - 1738. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 112381225*a**2. Let o(s) = 2*s**2. Calculate w(o(h)).\nAnswer: 449524900*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:39 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -1 (b) -2 (c) -42 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmtlccm. What is prob of sequence ml?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 119 + 41. Let x(t) = 8*t**2 - 59*t - 8. Let b be -5*(3 - 35\/25)*-1. Let f be x(b). What is the highest common factor of q and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(171).\nAnswer: 3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - z**4 - 1 + (3*z**2 + z**3 - 3*z**2)*(-3 + 3 - z) - 5*z**3 + 5*z**3 - 2*z**4 + (3*z**2 + 5*z**3 - 5*z**2 - 2*z**3)*(8 + 10*z + 13*z - 25*z).\nAnswer: -10*z**4 + 28*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 632 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/48 + (-7)\/(-56))*-24. Solve -v - f = 2*y, -3*v + 1 = -y + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/6953 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {w: 3, q: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19d01 + -1ad?\nAnswer: -19eae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -4. Let q = 6.1 + p. Let g = q + 0.2. What is the nearest to 0.1 in -5\/2, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 148700405372 and -0.3?\nAnswer: 148700405372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = -4*j, -16 = -0*r - 4*r + 2*j. Let b be (-10)\/((2\/(-51))\/(r\/3)). Which is smaller: b or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -3, 1, 0 in descending order.\nAnswer: 1, 0, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 2, -4\/3, -5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/(-24))\/(1\/3). Let j be ((-14)\/(-6))\/b - (-88)\/6. Suppose 21*l - 1104 = j*l. Is l a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5918358 is divided by 2763.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3+0.990210922509\nAnswer: -2.009789077491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1285172 and 752395?\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 10*q**2 + 8*q - 7. Let x be w(-9). Let k(r) = 2*r + 2*r**3 + 2*r**x + 0*r + 2 - r**3 + 0*r. What is k(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204a2 (base 13) in base 16?\nAnswer: 1d361b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 865489991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.46 - -0.04. Let p = 0.12 + c. What is the biggest value in -3, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {w: 10, u: 5, q: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429.943920393 + 429.91492. Let o = x + 0.029. What is o rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*h**2 - 8*h**5 + 37*h**2 + 36*h**5 - 21*h**2 + 3*h**4 wrt h.\nAnswer: 1680*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2156) + -1*sqrt(2156))\/(sqrt(576)*1 + sqrt(4)) + (sqrt(297)\/(sqrt(9) - 2*sqrt(9)))\/(sqrt(27)\/(-2*sqrt(9)) + sqrt(3)))**2*6.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 19. Let g(d) = 21. Let s(v) = -4*g(v) - 3*i(v). Let j be s(8). Let z(l) = l + 0*l + 2*l + 1. Give z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 3 - (-10 - (0 + -7)) - 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -413*i + 14*i - 135*i - 835 - 247*i wrt i?\nAnswer: -781","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14*h + 7 + 34*h - 5.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 3*j - 0*w + 4*w, -747 - 130 = -235*w + 298 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 83024868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: c2 (base 13) to base 9\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 144 = -0*r. Let n be (-1)\/4*-1 - (-6)\/r. Factor 0 - n*u**4 - 1\/2*u - 3\/2*u**3 - 3\/2*u**2.\nAnswer: -u*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/6 - 19*g**2\/2 + 12*g. Let x be s(25). What is the third derivative of -f**2 + f**x + 5*f**6 - 8*f**6 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)\/sqrt(3))\/(sqrt(10)\/sqrt(80)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15571 divided by -2\nAnswer: 15571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)*((-105)\/(-2))\/(-5). Let h = x - 0. Let q be 2*(-4)\/(-16)*24\/h. Put -2, -0.5, q in decreasing order.\nAnswer: -0.5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19762 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28\/141 - 3\/94. Suppose 0 - 5\/6*c**2 + s*c + 7\/6*c**3 - 1\/2*c**4 = 0. Calculate c.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 148.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1446 and 879.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -11012142\nAnswer: 2\/5506071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25469333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395583, -1582352, -3560299, -6329424?\nAnswer: -9889727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, d: 3, x: 3}. What is prob of picking 1 x and 1 p?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2379078 divided by 6.\nAnswer: 396513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 45.92. Let t = 76 + x. Let d = -28.11 + t. Round d to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796.8662 hours in microseconds?\nAnswer: 2868718320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m - 442. Give t(-46).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/50 - 78\/(-10). Suppose -3*q - 10 = -n*q. Sort q, 5, -3 in ascending order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**4*x**2 + 688*q**3*x**3 - 11*x**3 + x wrt q.\nAnswer: 4*q**3*x**2 + 2064*q**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:49 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2\/3)\/(9\/(-189)*-77)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 - 22*p**2 + 4 as d + l*p + j*p**2 and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1066, -2124, -3182, -4240?\nAnswer: -5298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = c, 55 = 3*c + 3*y - 5. Calculate the highest common factor of c and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (0 - 1\/(-1)). Suppose 1 = -y*k + 2*c - 3, k + 3*c = 6. Solve -4*q + 0*u - 3*u = k, 2*q - 3*u = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 + 20)*(93\/105 - (-6)\/(-21)). Let j = 1.4 - 0.4. What is the nearest to -0.2 in 6\/11, j, -6, b?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532869700 rounded to the nearest one million?\nAnswer: -533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 6*f + 3*f + (-2*f - f + 2*f)*(5 - 1 - 3) - 15*f - 69*f - 50*f to o + m*f and give m.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 - 3\/7*f**2 - 492\/7*f = 0 for f.\nAnswer: -171, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -45655, -7 in descending order.\nAnswer: 13, -5, -7, -45655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/7 (b) -4 (c) 3 (d) 0.003 (e) -1\/4 (f) 2\/569 (g) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548\/36 - (-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:32 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 153. Let c(q) = -8819*q**2. Give m(c(k)).\nAnswer: -155549522*k**4 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/6859884 and 17\/6859884.\nAnswer: 6859884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -21 - (0 + 0 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5765403?\nAnswer: 3, 7, 29, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4\/7, -5, -4, -1\/2, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*f**2*x*y + f**2*y**2 - f**2 + 3*f*x*y**2 - 18*f*x + 2*f*y - 4*y wrt f?\nAnswer: -180*x*y + 2*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1897, -1928, -1959, -1990, -2021, -2052?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -5*j - 64 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/50600*-1595)\/((-2)\/(-23)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 68 - 70 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - ((-2)\/23 - (-35824310)\/(-874)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*l**2 + 2*l - 160 - 130*l**2 - 37*l**2 in the form b*l**2 + r + u*l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {q: 1, l: 3, e: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**13\/u**(-4\/13)*(u**(-15)\/u)\/(u**(-1\/4)*u) assuming u is positive.\nAnswer: u**(-179\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 59, 2, 5, -3.\nAnswer: -3, 0, 2, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, u: 5, g: 8}. What is prob of sequence kgku?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 46340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/10 - 464*q**3\/5 + 103872*q**2\/5 + 1752064*q\/5 + 7129088\/5.\nAnswer: (q - 472)**2*(q + 8)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 4)*(2 - 2 - 2) - 4 - 19 - 24 + (2 + 1 - 1)*(-1 + 7 - 4))*(2*z**2 + 0*z**2 + 7*z**2) to h + r*z**2 + i*z and give r.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + w, 2*s + s + 3 = -3*w. Let r(v) = -v + 2. Let y be r(s). Solve 0 = 4*x + 4, 2*b - y*x + 1 = 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 3, s: 8}. What is prob of sequence uysy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + (-147 - -130)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q - 169. Let m be j(-29). Put -2\/7, 2, m, -12\/11 in descending order.\nAnswer: m, 2, -2\/7, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 18 - 1 + 2*t - 2037*t**3 - 6.\nAnswer: -2037*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - 44\/(-12). Suppose -q*p + 5*p = -2*d - 152, -d - 481 = 3*p. Let h be p\/(-10) - 3\/15. What is the greatest common divisor of h and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100032960 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 78 + 30)*(1 + 3 - 2)*(6 + 5 - 4)*(3*t**2 - 3*t**2 - 4*t**4) in the form i*t**3 + f*t + h*t**4 + x*t**2 + d and give h.\nAnswer: -4592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/(((c*c**(-4))\/c)\/c)*c*c)\/c))\/c**10*(c\/c**9)\/c*c**(-10)\/c assuming c is positive.\nAnswer: c**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 52*q + 51*q + 4854, -2*w = q - 9714. What is the least common multiple of 5670 and w?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*z = -10540, -7*z + 2*z = -y + 5246. List the prime factors of y.\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let i(t) = 0*t**z + 57 - 58 + t**2. Let c be i(-2). Solve 2*q - c*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*l - 206*l + 551*l as t + a*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, 5, 14, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -300028390 rounded to the nearest 100000?\nAnswer: -300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 465 = 4*i - 5*o, 4*i - 3*o = -1809. Let t = i + 402. Let f be (-4)\/14 - (-341)\/(-7). Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - (-22 + -15)) + 31\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -842, -1653, -2438, -3203, -3954?\n\"Answer: -s**3 + 19*s**2 - 861*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6068 divided by 82?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9 + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 7, 0.4, 4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r = -2 - 88 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6372 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 7*h**2 + 6*h - 4. Determine a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 4*r - 4*r + 5 + 4 + r + 2 + 3*r - 9*r + 5*r + (0 + 1 + 1)*(r + r - 4*r) + 4 - 4 + 2*r.\nAnswer: -3*r + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 13*x**3 + 2*x**2 - 2*x**2 + 10*x**3 + x**2. Let b(t) = -4*t**3 + t**2 + 5*t. Give -4*b(z) + 5*w(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = n. What is the lowest common multiple of 3 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3*17 + (198\/(-30) - (-4)\/(-10)) and 752.\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**5 - 96076*b**3 + 352958*b wrt b?\nAnswer: -80*b**3 - 576456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 8 + 0)\/((-13)\/(-598)). What is the closest to 1\/4 in 0.3, 4, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*u - 5*k - 0*k, 0 = -4*u + 3*k + 63. Let m = -11 + u. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2261 (base 7) to base 14\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 14. Let b be ((-4 + 2)\/((-1)\/10))\/2. Give d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*r*w + 3382*f**2*r + f**2*w + 102*f*r - 6*f*w - 5*r*w wrt f?\nAnswer: -4*r*w + 6764*r + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 5. Let c = z - -22. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -12 + -8 + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/4)))**13\/(((u**(-2)*u)\/u)\/(u\/(u**(-1\/9)*u))) assuming u is positive.\nAnswer: u**(193\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 197291 and 20169?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 4*w**2 + w + 4. Let g be 1 - 0 - (-7 + 0). Let z = 3 - g. Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*8\/(-3))\/((-16)\/(-48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -8*z - 12416. Let u = -681 - z. Calculate the highest common factor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 425, 3503, 11857, 28127, 54953, 94975, 150833, 225167?\n\"Answer: 440*c**3 - 2*c**2 + 4*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, 41, -3 in descending order.\nAnswer: 41, -3, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.3, -269\/3, 0.1, -0.4, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11646223 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.0641\nAnswer: 0.02564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 204, 202, 200, 198, 196?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, -1\/2, 11\/6, -0.09, -0.1, -1\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b - 34*b + 15*b = -3465 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65757.470064 + 65760. Let q = l - -122.464764. Let t = 125 - q. Round t to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45995*a**3*v**2 - 5*a**3 - a**2*v**2 + 2*a**2 - 8*a*v**2 + 1285*a*v wrt a?\nAnswer: 275970*v**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -8 + 4. Let q(x) = -3*x**3 - 2*x + 1. Let g be q(1). Suppose -o + 21 = 16. Sort g, t, o.\nAnswer: g, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1323? (a) -3\/7 (b) 32 (c) -1\/364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*u - 3, -49 + 40 = 4*z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1652?\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(-48)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -3109, 0, -3, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3961467 (base 11) to base 10.\nAnswer: -6853876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -491*g - 27. Let w = -828 + 825. Is d(w) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = 3*d - 25, -4*d - 5*j = -71. Let x(y) = -y**3 + 3*y**2 + 6*y - 5. Let c be x(4). Let u = d + c. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - (-19 - 25)) + (-129 - -14)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1042\/5 - -209. Factor -d*g + 2\/5 - g**2.\nAnswer: -(g + 1)*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 4*d + 6. Let n be i(4). Let g = -6 + n. Suppose 29 = -17*s - 5. Sort 1, s, g in increasing order.\nAnswer: s, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:08 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from neaakk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-2*o - o - 2*o)*(11 + 115 + 46 + o**2).\nAnswer: -10*o**3 - 1720*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -305604754.\nAnswer: -1\/152802377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 152*b - 4474. Give j(30).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319*c**3 + 0 + 34*c - 301*c**3 + 0 wrt c?\nAnswer: 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*l + x - 13, -2*x + 2 = 2*l. Suppose -h = h + 10, l*r - 28 = 2*h. Suppose -13*i = -r*i. Solve i*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47371179563773 - -0.2\nAnswer: -47371179563772.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 - x - 252. Let y(r) = -2*r + 3. Give 5*f(s) + 2*y(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/876)\/((-1)\/(-2)*1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + x. Let a(m) = -9*m**3 + 2*m**2 - 1. Give a(r) - 6*k(r).\nAnswer: -3*r**3 - 4*r**2 - 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 3) to base 10.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102.16 - -102. Let r = -5 - -4.76. Let o = h + r. Sort 0.9, 0.4, o in increasing order.\nAnswer: o, 0.4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4408413 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -329*w - 19. Let j be t(12). Let q = j + 1090973\/275. Let a = -1779\/550 - q. What is the common denominator of 35\/4 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 25. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172098525 rounded to the nearest 100000?\nAnswer: 172100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 + 6479*h + 2*h**2 - 6479*h - 5. Let b(g) = 28*g**3 - 9*g**2 + 21. Calculate -2*b(v) - 9*t(v).\nAnswer: 7*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o - 15*o - o. Suppose 4*k - 3*n - 19 = -35, -5*k - 2*n - 20 = 0. Is 12 a factor of v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efyeeeeeettfyyebeet. What is prob of picking 2 f?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwjmwwwwmwmjfwmwwmw. What is prob of sequence mmj?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -60.3. Let i = 13 + x. Which is the closest to -6\/5? (a) i (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 0*l**2 - 5*l**2 + 178211244 - 178211244.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 16061?\nAnswer: -36\/16061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -402 + 402 + 310*s**3 - 112*s**3 - 3*s**4.\nAnswer: -3*s**3*(s - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*a - 60 = -249*a. Let u(g) = -12*g**2 + 5 + 25*g**2 - a*g**2 + 1. Calculate u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 142*l**2 - 276*l - 71. Give r(69).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8484 = -11*k. Suppose 2*b + 5*c - k = b, 2970 = 5*b - 5*c. What are the prime factors of b?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*m + 3 = -69*m. Solve 2*u = 5*w, -2*w = -4*u - 15 - m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 75\/377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3015 (base 7) to base 10.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let b be s(-1). Let g be 1 - ((-2)\/(-11) - 36\/(-33)). Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a - 164*a - 98*a + 8789 - 2533 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 34 - 194 = 0. Let m be 424\/a - (-2)\/5. What is the second derivative of 0*l + m*l**5 - 10*l**5 - 9*l wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 142*m - 931. Calculate y(77).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -142, -249, -356, -463?\n\"Answer: -107*p + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.48 - -7.52. What is the second biggest value in 4, -2, -5, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let l be ((u + 1)\/(-2))\/(-1). Let t(o) = 7*o - 60. Let i be t(9). Solve -5*y + 5*n = 15, -2*n + l + i = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y. Let p = 17 + -8. Suppose -3*u - p = 3*t, -t = 4*u + 9 + 3. Let b be (-6)\/(2 + 1) - t. Determine v(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 7*o - 1. Suppose -62*h - 138*h + 9520 = -4480. Calculate the remainder when n(6) is divided by h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 102. Let w be x(34). Let l(t) = -11*t**3 + 16*t**2 - 7*t - 13. Let u(p) = 6*p**3 - 9*p**2 + 4*p + 7. Let g(a) = -4*l(a) - 7*u(a). Give g(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 6*w - 4*a, -14*w - 469980*a + 100 = -469977*a - 127 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 339135*l**4\/2 + 1017432*l**3 + 3052539*l**2\/2 + 243*l = 0.\nAnswer: -3, -18\/113045, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101a (base 14) to base 2.\nAnswer: -101011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 121, 258, 441, 664, 921, 1206, 1513?\n\"Answer: -u**3 + 32*u**2 - 4*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 2\/7, 732?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 7. Suppose -3*g - 10 = -k*g. What is the third derivative of -2*o**g - o**4 + 5 - 3 - 2 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 83996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 429 = -20*x. Let k = x + 41. Suppose -k*f - 56 = -3*f. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-14)\/(-1))*(-43)\/86?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 52\/3*f**3 - 2 + 0*f + 0*f**4 - 7\/10*f**6 - 35*f**2 + 0*f**5. What is the first derivative of h(b) wrt b?\nAnswer: -252*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43911381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 517, 495, 483, 487, 513, 567, 655?\n\"Answer: s**3 - s**2 - 26*s + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by 70.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027906 - 55.\nAnswer: -55.027906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let g(p) be the first derivative of 15*p**2\/2 + 7. Give y(g(r)).\nAnswer: -450*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 840151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -129, -210, -319, -462?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1772.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*f. Let h = 0.6971 - 0.6171. Let v be 0 + (16\/6)\/(-4). Which is the third smallest value? (a) f (b) 5 (c) h (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 45170514.\nAnswer: 1400285934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2166 times -3580\nAnswer: -7754280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 - 4*a**2 - 384*a + 1584 = 0 for a.\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/5 - 4314*a**2\/5 - 4166604*a\/5 + 214899048 = 0. What is a?\nAnswer: -2262, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*x + 18, -182692*y - 5*x = -182700*y + 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 40.8\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -11 - 9. Let x be (-3 - -2) + i + -2. Solve 2 - 6 = -x*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**3 + 5*v**2 - 5*v + 5. Let m(b) be the third derivative of b**6\/20 + b**5\/20 - b**4\/8 + b**3\/2 - 4*b**2. Determine -5*m(r) + 3*x(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -133427 divided by 49?\nAnswer: -2723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 7 = 43. Suppose 9*j - 5*y - 16 = 8*j, -b*y + 133 = 4*j. Calculate the highest common factor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322292, -644601, -966914, -1289237, -1611576, -1933937?\nAnswer: -2256326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1488.8 + 1489.3. Which is smaller: -0.9 or h?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((4 - -2) + -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*w - 80, 0 = -5*z - 174*w + 179*w + 200. What is the remainder when ((-86)\/(-3))\/((-2)\/(-12)) is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8492627*-0.3\nAnswer: 2547788.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -367 (b) 3963\/10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*-3*(-1*(sqrt(175) + -4) - (-2 + sqrt(175)*2))**2.\nAnswer: -24167 + 2700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (156*f - 156*f - 47*f**3)*(2*f - f + 1 + f) to g + a*f + v*f**2 + l*f**4 + j*f**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 47764 + u - 47740 - 3*u. Calculate i(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 9*p + 14*p - 3*p - p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) 4 (c) 2\/5 (d) 371 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 24. Let q be s(0). Suppose -18 = -3*h + q. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvccvc. What is prob of sequence vv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4254)\/(-708) + -4 + -7 - -5. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 9756*t**3 + 147*t**2 - 9756*t**3 - 2*t**4 wrt t.\nAnswer: -8*t**3 + 294*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 97, 265, 519, 865, 1309, 1857, 2515?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -58*o**3 - 2*o**2 + 6*o + 6. Let i be d(-1). Calculate the greatest common factor of 128 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s + 26. Let d be l(11). Let b = d + 31. Factor 3*p - 7*p - 1 + 6*p - p**b.\nAnswer: -(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i**3 - 8*i + 534. Let j(d) = -10*d**3 - 6*d + 533. Calculate 3*a(r) - 4*j(r).\nAnswer: r**3 - 530","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + 0 + (-17 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.02. Let c = j + -3.98. Let r = 27.2 + -27.1. Put c, r, -0.4 in descending order.\nAnswer: r, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-88)\/12 - (-44)\/33)*188\/(-6). Calculate the greatest common divisor of 1551 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168624.717 minus 1.4?\nAnswer: 1168623.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/2 of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46 + 1)\/((-33)\/22). Suppose 5*v = -5*s + n, -4*s - v - 2*v = -23. Solve -2*o = o - 5*b + 30, s*b - 40 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -66*n - 4. Let k(w) = -14*w - 40. Let v(z) = -20*z - 56. Let h(a) = 7*k(a) - 5*v(a). What is p(h(j))?\nAnswer: -132*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 757442594 to the power of 1\/2, to the nearest integer?\nAnswer: 27522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 84*q - 78)*(0 - 3 + 1)*(-3*q + 3*q - q**3).\nAnswer: 168*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/((z*z*z\/(z*z**(-1))*z)\/z)))\/(z*z**(-6))*z**(1\/5)*z**0 assuming z is positive.\nAnswer: z**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*w = 48, w = 6*w - 20. Let q(m) = -45*m + 196 + 2*m**2 + 164 - 303. Let j be q(23). What is the highest common divisor of j and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, -0.2, 4, 55, 2\/9, -2, 53.\nAnswer: -207, -2, -0.2, 2\/9, 4, 53, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 + 4.15. Let t = -183\/4 + 46. Sort d, -0.08, t in decreasing order.\nAnswer: d, t, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 315 = 16*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2029.5062 rounded to zero decimal places?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -974747*t**3 - 315*t**2 + 2*t - 19.\nAnswer: -5848482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 + 13202?\nAnswer: 13403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 1, v: 1, h: 1, u: 2, d: 1}. What is prob of picking 1 l, 2 u, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -22. Let s = m - 15. Let z = s - -3.5. Which is the nearest to 0? (a) 0.3 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440385 and 21195?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (316\/790)\/((-14)\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 52. Let p = 203 + -200. What is the smallest value in p, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1897044083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001136 rounded to 6 dps?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11897032 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 62. Let f(q) = -5*q - 1. Let y(z) = -3*z - 1. Let v(j) = 2*f(j) - 2*y(j). Determine v(g(p)).\nAnswer: 4*p + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(69 - 5400\/80)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 6 = 0. Suppose 0*b + 4*b = 4. Calculate the least common multiple of b and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 576861013 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k**(-3)\/k)\/k*k**(-1\/9)*(k*k*k*k*k**(-2\/7))\/(k*k\/k**(-3)) assuming k is positive.\nAnswer: k**(-340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-120)\/(-17)) + 2\/3 + -1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4419704042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(52 + 24)\/(-19) - -91\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1390*-0.075\nAnswer: 104.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22823562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8208286?\nAnswer: 2, 23, 178441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*n**2*u**3 + 6*f*n**2*u**2 + f*n**2*u - 3238*f*n*u**3 + f*u**3 + 2*f*u**2 + 1758*n**2 wrt u?\nAnswer: 18*f*n**2 - 19428*f*n + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 17*r - 8. Let d be 21*(2 - (-20)\/(-7)). Let k be x(d). Let i(a) = 7 + 3 - k - 2*a**2. Let p(f) = -8*f. Determine i(p(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129426460*l**3 - l**2 + 196*l + 3037 wrt l?\nAnswer: 776558760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*m**2 - 237*m**2 + 117*m**2 - 2*m**3.\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1158*k + 49791. Calculate x(-43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108311, -108002, -107697, -107396, -107099, -106806?\nAnswer: -106517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21048)\/828 + (-1175)\/(-47) - (-5)\/15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {w: 1, z: 2, d: 4, a: 1, i: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1 (c) -0.4 (d) -0.3 (e) -0.219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p**2 - 8072*p - 2698. Calculate o(673).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.2439\nAnswer: 0.7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1652 = -771*v + 24011 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/4 + 33*y**4\/2 - 303*y**3\/4 - 14375*y**2 - 14283*y = 0.\nAnswer: -46, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 0*a**2 + 3*a**2)*(-2 + 3 + 0)*(-10*a - a - a + (2*a - 3*a + 2*a)*(0 - 1 + 2)).\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 5, 2\/219, -0.063, -5\/2, 7\/2, -0.2?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 1. Let w = 4063 - 4061. Let o(r) = 55*r**2 - 33. Give w*o(u) + 66*h(u).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -5 + -1*sqrt(180) + -1 - (((sqrt(180) - (0 + sqrt(180)))*2 - (sqrt(180) + -5 + sqrt(180) + 1)) + -2))**2.\nAnswer: -349 + 156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77615 or 77502?\nAnswer: 77502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olf when three letters picked without replacement from iinlnononnofnf?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 84920405 - 8920385 = 0. Suppose -j = 3*s + 19000003, 6*s + u = -j + s. Round j to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57.6 less than 0.036341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166890 by -33378.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2815579 = 19*a + 4*a + 33891. What is a rounded to the nearest 1000?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*b - 4*b + 6 = 0, 9 = -4*i - 3*b. Let a = 9 + -5. Suppose a = -5*l - 16. Sort -2, l, i in decreasing order.\nAnswer: i, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35 - (-1)\/(-2)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*d - 6 = q + 63*d, 0 = 5*d - 0*d for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -16. Solve 9 = 3*y - t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-27) + 382\/18?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*u + 8*u + 14*u)*(-18*u**2 + 11*u**2 + 3*u + 3*u**2 + 2*u**2 - 4*u + 4*u + (-1 + 4 - 5)*(-3*u**2 - u**2 + 2*u**2) + 4*u - 4*u - u**2 - 1 + u**2 + 1).\nAnswer: 180*u**3 + 270*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - s - 20. Let f(t) = t - 1. Let v(i) = 5*f(i) - w(i). Let p be v(-6). What is the greatest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296.427mm in meters?\nAnswer: 6.296427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 1728 = -31*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from drwdweiwwdwrwwwdw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-4))\/(48\/32) - (-134)\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 0 + (-2)\/659 + 5. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81378941 is divided by 2260526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6696, 13393, 20090, 26787?\nAnswer: 33484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 1\/2 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, t: 4, h: 1}. What is prob of sequence tllt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 7, o: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 5*j. Let o(v) = v**2 - 2*v. Let z be 5*1\/(-2)*-2. Determine z*o(k) - 2*x(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 4, h: 3, u: 2}. Give prob of picking 2 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21 - 52*h - 27 + 66 - 18. Let m(o) = -8*o**2. Determine m(q(x)).\nAnswer: -21632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Let m(j) = -j**2 + 10*j - 22. Let t be m(5). Suppose g + 11 = 3*f, 2*f - 5 - t = g. Solve 3*c = 7*c + 4*q - 32, f*q - 4 = r*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26309689 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-12) - 3\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/(-5)*10. Let v be (t\/(-16))\/(1\/8). Does 17 divide 34\/(3 - (v - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 11. Solve 7*g - 2*g + 4*n + 12 = 0, -m*g = -3*n - 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:20 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 6*o**2 + 2*o + 14. Let z be h(-6). Let b(j) = -4 + 6*j**2 + 0 + 1 + 5 - 7*j**z. Let w(y) = 5*y**2 - y - 8. Give -9*b(d) - 2*w(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 3}. Give prob of sequence ee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.4154762 rounded to two decimal places?\nAnswer: 183.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/((-22860)\/15)). Solve r = -7*a + 240 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -65. Find the first derivative of -1905*t**2 + 7*t**3 + a + 1905*t**2 wrt t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 441. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/2 or -6\/6301?\nAnswer: -6\/6301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 551808521 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7*11\/(-165)*35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(570)\/(sqrt(10)*-2) + sqrt(57) + sqrt(57))\/sqrt(3) + (1*(4 + sqrt(76)))**2.\nAnswer: 37*sqrt(19)\/2 + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 28 + 37 = -5*n, -5 = 2*k + 5*n. Suppose -a - a = -8. What is the lowest common multiple of a and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22034 by -1.\nAnswer: 22034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -778 < -813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44804 and 616?\nAnswer: 6899816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165097?\nAnswer: 29, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 9*y**2 - 2*y - 12. Let j be x(-9). Let f = -3 + j. Let g = f - 7. What is the smallest value in 2\/5, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3621*(444\/36 - 13). Calculate the highest common factor of 34 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4479710409106 + 6\nAnswer: 4479710409112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67680002 - 14*a**2 + 33839997 + 33840005.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2057) + 1)**2 + sqrt(2057) + ((sqrt(153) + sqrt(153)*1)**2 - ((-2*sqrt(17))**2*1 + sqrt(17))).\nAnswer: 76*sqrt(17) + 2610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -148872942612 take away -17?\nAnswer: -148872942595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839 - 279 = -13*b. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0175*-1.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -3 (b) 3\/41 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 - 3*a - 5. Suppose 680 = -234*d - 82*d + 48. Give g(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33539014 and -33539013 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46012126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -72. Let z = k + 107. Let a = 187 - z. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 < 255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*-2*0\/(-116)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*j - 21 = 0, 29 = -5*h + 6*h - 4*j. Suppose 0 = q - h + 7. Let b(x) = 108*x**2 - 2*x + q*x - 111*x**2. Let c(v) = -19*v**2. What is c(b(z))?\nAnswer: -171*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - (-3 + -2)) + 1870001. What is y rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 0.09, 1 in descending order.\nAnswer: 1, 0.09, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 38079?\nAnswer: -7\/38079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/12 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 537298, 1074281, 1611264, 2148247, 2685230, 3222213?\n\"Answer: 536983*n + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619783?\nAnswer: 31, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(112))\/sqrt(4) + 4*(sqrt(112))**2*-3.\nAnswer: -1341 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 2*x - 3*x)*(-159 + 159 - 14*x)*(80 - 91 - 207) as i*x + n*x**2 + z and give n.\nAnswer: -3052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 5*u - 6*u - 5*u + 1072*u**3.\nAnswer: 1072*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 33?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*s + 25. Suppose 39 = 3*b - 3*k, 5*b - k - 30 = 43. Let h = b - s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 466362 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t - 3. Let c be n(-2). Let q be c\/(-4)*4\/(-1). Let r = q + -1. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6880)\/60)\/(-43)*9\/(-348).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -2*j. Let z = -8 + j. What is the tens digit of 14\/z*(12 + -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17*3300\/(-1496))\/(-15)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 11*k + 480. Let l be p(28). Solve l*m + 3*j = 5, -15*j + 16*j + 20 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576*-170051.\nAnswer: 97949376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 13055174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b + 15*b - 21*b - 309 + 15*b as v + w*b and give v.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 1424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.83 + -0.17. Let k = -0.11 + 7.11. Let n = k + r. Which is the nearest to 3\/4? (a) -4\/3 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245 + 437. Suppose 3*m + 3*h + 172 = 7*m, -5*m = 2*h - x. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 203\/435 + (-4)\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. Let h be ((-2)\/z)\/(14\/(-6)). Let j be 81\/90*(-5)\/6. What is the third smallest value in j, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4533*c + 2 - 1516*c - 1515*c - 1508*c - 5. Let j(p) = -3*p - 2. Give -6*f(m) + 11*j(m).\nAnswer: 3*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14392)\/(-84)*(-12)\/(-8) is divided by 67?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*d - 1208*d - 134 + 608*d.\nAnswer: 11*d - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4046*d**3 + 4047*d**3 + 4046*d**3 - 12134*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35, -4, 0.0711, -1.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v. Let n(l) = 24*l - 7. Let k(x) = -126*x + 38. Let y(s) = -2*k(s) - 11*n(s). Suppose c + 4 - 6 = 0. What is c*y(h) + 7*u(h)?\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 166097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 2}. Give prob of picking 3 p and 1 q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-3 - (sqrt(13) - ((sqrt(13) - (sqrt(13) + -3 - sqrt(13))) + -4)))**2.\nAnswer: 48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57\/2, -1.2, 25, -2\/15, -0.1, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2891843 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -5369267\nAnswer: 1073853.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -119633?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -3 (c) 0.4 (d) 8\/151 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 12*u - 12. Suppose 2*a + 6 = 3*a - 3*s, 2*a - 4*s - 4 = 0. Let l be h(a). Factor 15 - l + 4*x**2 + 9.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3485234 (base 9) to base 5\nAnswer: 440334340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -23. Let c = 9 + t. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4 + 7 - n**3 - 2*n**3 + 5*n**3. Let l(p) = p - 2. Let b be l(5). Let g(r) = -r**3 - 4. Suppose 0 = -u + 2*u - 8. Calculate b*k(j) + u*g(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 35 + 34)*(-1 + 2 + 1)*(7*p**5 - 18*p**5 - 14*p**5).\nAnswer: -4900*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 24 = 4*v, 3*v - 122*u - 14 = -124*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 9*a + 58. What is i(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -124.014. Let l = -0.0154 + j. What is l rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -6, -5, 10 in increasing order.\nAnswer: -8, -6, -5, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 4 - (-4 + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1723\/2 + -837. Let z = -25 + p. Let o = 3 - 2.8. Which is the nearest to z? (a) o (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22375 is divided by 936?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-2*x**4 - 4 + 4) + x**4 + x**2 - 5*x**4 - 2*x**2 + (-x**3 - 2*x + 2*x)*(4*x - 5*x + 2*x) as g*x**2 + l*x**4 + r + y*x**3 + u*x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477454408.\nAnswer: 2, 149, 263, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i. Let n(l) = 14*l. Determine -5*n(z) - 8*p(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 7. Let v(g) = 7*g + 12. Let w(c) = -5*h(c) + 3*v(c). Calculate w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = 2*i - 0*i, 3*i = -f - 15. Let z(m) = -13*m**3 - 4*m**2 + m + 7. Is z(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(343) + sqrt(343))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -3)*(4 - 3). Let l be q\/6 + 244\/3. Suppose 6*p = -l + 328. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02459180686 to five dps.\nAnswer: -0.02459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*w + 1 = -13, -2*w - 2*w = -76*g + 355*g + 1666 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbxx when four letters picked without replacement from xbbxbbbxbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1000)*4*3)\/((sqrt(14) - (sqrt(140)\/(sqrt(40) + sqrt(10)) - sqrt(14)))\/(sqrt(70)\/(sqrt(10) - sqrt(90)))).\nAnswer: -216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.0227 days in seconds?\nAnswer: 72145961.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 6*s**2 - 3*s - 5. Let o = 16 - 4. Suppose -5*m + o = -2*m. Calculate the remainder when j(-6) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 5*j + 9311. Let c(s) = 2*s. Calculate w(c(r)).\nAnswer: 28*r**2 + 10*r + 9311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(216))\/(sqrt(1400)\/sqrt(7)))**2 + -5.\nAnswer: -42\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o + 3. Let g(h) = 34*h - 10. Let m(z) = 3*g(z) + 10*r(z). Let n(v) = -265*v**2 + v. Calculate n(m(a)).\nAnswer: -1060*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-30))\/(645\/1980 + 14\/154).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 7*t + 5. Give h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688*m = 2237543 - 740455. What is the remainder when m is divided by 2172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3.1. Let w = l + -5. Is 0.1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74372, -74373, -74374, -74375, -74376?\nAnswer: -74377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3108 and 1110?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y + 470. What is v(-29)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**2 - 5*v + 1. Let w be y(-4). Solve 0 = -5*t + w*t - 4*s, t = -4*s - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t*u**2 - 2*t*u - 5*t + 45*u**4 + 3*u**3 + 14*u wrt u.\nAnswer: 2*t + 540*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44067885 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 5*i = -270. Suppose 0 = -5*j + i + 100. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135268787*k**4 - 126179*k**2 + 311.\nAnswer: 3246450888*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (-46 - -42))\/((-56)\/26 + 2).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 3*p. Let w(h) = -8*h**3 - 62*h**2 + 17*h + 6. Let o be w(-8). Determine l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -93.7. Let n = -7 - g. Suppose -9 = 4*r - 5*k, -584 = 4*k - 1171 + 583. Which is the nearest to -1? (a) n (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.335 + -2.535. Let n = 3.2 + -3. Sort v, n, 4.\nAnswer: v, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -4\/3*y**6 + 0*y**5 + 44*y + 0*y**3 - 8\/3*y**4 + 0*y**2 + 0. What is the third derivative of q(w) wrt w?\nAnswer: -960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1167396367*l**5 - 44*l**2 - 5399926*l.\nAnswer: 70043782020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21 + 1606\/77)*(-7)\/(-4). Let b = -4.54 + 0.54. Let t = -2 - -29. Sort 1\/8, t, m, b.\nAnswer: b, m, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 = -45. Let i(c) = -c - 29. Let o be i(b). Let x = o + 15. Let l(r) = -7*r**2 + r + 1. Calculate l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -27. Calculate the highest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3432 or 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 181, -5.\nAnswer: -5, 15, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 + 68\/18. Let l(q) = -3*q. Let z(t) = -3*t. Give k*z(n) - 5*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32837 + 46318. Is z a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*u + 16*u + 17*u - 4*u**3 + 2*u**3 - 44*u**2 to the form b*u**2 + y*u**3 + h*u + d and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-3)\/6)\/1*(21 + -18). Let w(n) = -3*n + 55. Let v(l) = -2*l + 28. Calculate s*w(z) + 5*v(z).\nAnswer: -z - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 - 13*q - 77. Calculate the remainder when a(-7) is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -757 (base 16) to base 14.\nAnswer: -983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k**5 - 1932*k**4 - 6270*k**3 + 69184*k**2 + 264840*k - 50400 = 0. Calculate k.\nAnswer: -84, -5, 2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92770*j - 92770*j - 9033*j**2.\nAnswer: -9033*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/18)\/((-4)\/6). Let a = -305.1 + 305.2. What is the smallest value in 0.32, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z - 76 + 76)*(8 - 2 + 0)*(1 - 2 + 3)*(-33 + 33 - 36*z).\nAnswer: 3456*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.27 - 40.438. Let i = -0.008 - n. What is i rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 148641*v**3 + 16418802 wrt v?\nAnswer: 445923*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44327 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2392710 * -3.\nAnswer: -7178130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46782*k**6 - k**4 + 19*k**3 - 2*k**2 - k - 325908.\nAnswer: 5613840*k**3 - 24*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/31)*y*y*y*y)**(-24\/13)*y**(17\/2)\/(y\/y**17) assuming y is positive.\nAnswer: y**(12403\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from vvvvzvvvvvzvvzvvzv.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**6\/120 + t**5\/15 - 5*t**4\/24 + t**3\/3 + 69*t**2 + 19. Let d(g) be the second derivative of r(g). Factor d(y).\nAnswer: -(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 2. Let f be m(2). Let o = -5 + f. Let s(c) = 2*c**2 + 2*c - 1. Is s(o) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 6. Let i be x(4). Solve -2*b = 2*f - 8, 0*f - 5*b + i = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237022.9321 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 707 (b) 4 (c) 2\/3 (d) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from ynyjnjjnjnhjh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 d when three letters picked without replacement from sbdbdbbddbbdsss?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {m: 3, n: 4, s: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26800.2 less than 92146.32?\nAnswer: 65346.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75522736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577167*o - 60 = 577177*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -730 + 735. Suppose -56 = h*j - 16. Let s(d) = -d + 2. Determine s(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z - 30 = -55*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**4 - 8*x**4 - 6*x - x - 4*x**4 + 3*x**4 + 2*x**4 + 3 - 3*x**4 - 3 + (-2*x + 2*x - x)*(0*x**2 + 2*x**3 + 0*x**2).\nAnswer: -x**4 - 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202111 - 5?\nAnswer: 202104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 107317?\nAnswer: -1\/15331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0156+239.99\nAnswer: 239.9744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64689 from -7927730.\nAnswer: -7992419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/99 and 31\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h + 0*h)*(-2*h - 2 + 2) - 2*h**2 - 3*h**2 + 4*h**2 - 12737*h - 101*h**2 + 12733*h + 19*h**2 - 1 to u*h + z*h**2 + t and give z.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 9*s**2 - 17*s - 1. Let w be u(4). Suppose -15*n + w*n = -87190960. Suppose -16602260 = 4*i + n. What is i rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 10*r - 13. Let v be z(9). Let w be -2*(14\/v + 2). Suppose -u - w*u = -1756. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182228266 to the nearest integer?\nAnswer: 13499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5058 and 469270?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6240 * -0.6\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8 + 2*w**2 + 11*w - 4 + 2. Suppose 273*c = 296*c + 161. List the prime factors of o(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3796)\/377 - 10\/3*42\/(-14)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3508535 (base 10) to base 13.\nAnswer: 95ac74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1370, 1537, 1806, 2177?\n\"Answer: 51*c**2 + 14*c + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40241760 a multiple of 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 367a (base 11) to base 4\nAnswer: 1023012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 55836403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 2*z**3 + 4*z**3 - z**4 - 8*z**3 + 2*z as a*z**4 + m*z**3 + s + t*z**2 + i*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 34 = d - v, 5*d + 72 = 4*v. Let u = -16 - d. Suppose -3*g + g + 108 = u. What is the lowest common multiple of 12 and g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/1867 bigger than -0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16207 is divided by 3914?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + 4*o**2 + 0*o**2)*(1 - 1 - 2)*(-15*o**3 + 1 - 9*o**3 + 23*o**3).\nAnswer: -4*o**5 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 2*c - 4*c)*(-2*c**3 + 0*c**3 - c**3) + c**4 + 0*c**4 + 0*c**4 - 13*c**4 + 51*c**4 - 110*c**4 to i*c**2 + g*c + f*c**4 + k + n*c**3 and give f.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (-132)\/36)\/((-2)\/6). What is the lowest common multiple of (1*-15)\/(4\/o)*-1 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 + 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.8 (b) 5 (c) -6.6 (d) -1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by ((-100)\/(-30))\/((-1)\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c + 1\/70*c**7 + 0*c**6 + 0*c**5 - 1\/6*c**4 + 0*c**3 + 0 - 10*c**2. What is the second derivative of d(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n + 145*n = 65*n + 3960 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 - 22.67. Let h = -22.78 - i. Put 0.5, -2\/7, h in decreasing order.\nAnswer: 0.5, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k - 1. Let f(b) = -14*b**2 + 10*b - 10. What is -3*f(x) + 30*t(x)?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 4895010.\nAnswer: 9790020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3*t + t)*(4*t - 3*t + 2*t)*(3*t - t - 4*t)*(-3*t + 5*t - 3*t).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77867 is divided by 99?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/3 - (-1)\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 + 1. Let v(q) = 4*q**3 - 4*q**2 - 4. Let a(f) = 9 - 6 + 4*f**2 + 2*f**2 + f**3. Let d be a(-6). Give d*g(o) + v(o).\nAnswer: o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.938 and -53.\nAnswer: -58.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1376655 and 2940.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(5*1))\/((-22)\/(-22))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2726175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.9, 2\/13, 3, -5, -33, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-1805)\/304 + 3 + -2).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*k + 77, -2*k - 31 = -2*s + 53. What is the remainder when s is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/53132 and -5\/79106.\nAnswer: 56798108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.2221 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 12*s**2 - 22*s - 3. What is the tens digit of u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 28*f**2 + 16*f - 112.\nAnswer: -4*(f - 7)*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4628*c**2 - 4630*c**2 - 603891006*c + 603891006*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + -1 + -1 + 3. Let g be (-1)\/10 - p\/(-20). Which is smaller: g or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9543.454l to millilitres.\nAnswer: 9543454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/595 + 24\/40 + 0 + 0.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-206 - -2)*121\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.55557 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(2) + -5 + sqrt(2))*6 + (sqrt(288)\/sqrt(9) - (sqrt(56)\/sqrt(4))\/sqrt(7)))**2.\nAnswer: -1470*sqrt(2) + 2107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 - 10*z + 9. Let t be u(6). Let v = 16 + t. Let l = v + 15. Calculate the greatest common factor of 80 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, s: 3}. Give prob of sequence zzss.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8819769 divided by 2939923?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-10) + 171\/285. Which is the second biggest value? (a) 0.3 (b) -6 (c) -0.2 (d) p (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 + 53*s**2 - 32*s + 4. Let w(i) = 6*i**3 - 54*i**2 + 31*i - 5. Let b(h) = 4*w(h) + 5*y(h). Find the second derivative of b(k) wrt k.\nAnswer: -6*k + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 98*l - 930. Calculate c(-79).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2855404*w**2 + 2*w - 1962310 with respect to w.\nAnswer: 5710808*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/12 - 7*14\/(-588)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 28254.7 millennia?\nAnswer: 2825470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 1, 5.\nAnswer: -7, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*i + 23 - 265 = 0, -4*i = 4*f - 252. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -23*w**3 - 17*w**2 + 17*w. Let l(c) = 8*c**3 + 6*c**2 - 6*c. Suppose -4*q + 12 = 0, 69*q = r + 65*q + 29. Determine r*l(h) - 6*d(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by -5\nAnswer: -368\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -216 and 226 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.9 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1330*l*q**3*z**2 + 254*l*q**2*z**2 + 495*l*q**2*z - 12*q**3*z**2 wrt q?\nAnswer: -7980*l*z**2 - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6634 is divided by 1014.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6165.\nAnswer: 1\/6165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, 40\/17, -34 in decreasing order.\nAnswer: 40\/17, -6\/13, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25039634, 25039635, 25039636, 25039637?\nAnswer: 25039638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 + 3*c - 4. Suppose 11 + 13 = 4*z. Is y(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -1\/22 (c) -0.37 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125296181 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21494, -85951, -193380, -343787, -537178, -773559, -1052936, -1375315?\nAnswer: -1740702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -36*f + 37*f - 16*i + 14*i - 2, f + 2*i - 3 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Suppose -3*p + 60 = -w*p. Let u = p - -1007. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (41 - 23) + 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13*(12\/3 - (-7 - -10)). Solve -3*t = -2*y - w, 0 = 2*t + 3*t + y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/454 and 101\/788.\nAnswer: 178876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238 - -234) + (1 - 2 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (423*x**2 - 461 - 454 + 917)*(-10696 + 122*x**2 + 10696) to the form a*x**3 + m*x**2 + c + f*x + i*x**4 and give i.\nAnswer: 51606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -31*x**2 + 368*x + 43. Determine v(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -182, -278, -410?\n\"Answer: -18*v**2 - 6*v - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26604*r**2*t**3 - 3*r**2*t**2 + 15*r**2*t + 2022*r**2 + 1129*r*t**3 - 2*r*t**2 - 7*t**2 wrt t.\nAnswer: -159624*r**2 + 6774*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from ffffeeffffef.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-1))\/(5\/5))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 1 + (5 - 1 - 2)*(4 - 1 - 2) + 4 - 6 + 1)*(-2 + 1 - 1)*(-7*m - m + 2*m) to h*m + b and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-4)\/sqrt(11).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1359 and 1661?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = c + 4, 5*c = -k - 15. Let z = 0 + -1. Is z at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 115877607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/(8 + 2499\/(-315)). Suppose 5*l + 2 = -8. Let o be (-6)\/(x\/l - 1). Is -2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnsnnbkbbksmbb. Give prob of picking 1 b, 1 m, and 1 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.137\nAnswer: -0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 2*p = 38*f - 65, 3*f - 261 = 8*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69, 223, 491, 879, 1393?\n\"Answer: b**3 + 51*b**2 - 6*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -5713?\nAnswer: 22852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091173 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/400 and 7\/440.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 408, 412, 418?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1 - 2*l + l - 6 + 4. Calculate n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -197792\nAnswer: 17\/98896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 254?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 34.352 (b) 6 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -322, -308, -280, -232, -158, -52, 92, 280?\n\"Answer: j**3 + j**2 + 4*j - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 - 1 = 0. Suppose 2*l = -3*t + 173, -3*l + 67 = 4*t - 3*t. Let g(k) = 0*k - 5*k + t - 56. Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605997 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5096\/207480)\/((-70)\/(-21) + -1).\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.4 and 9196.7?\nAnswer: 86448.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -23174?\nAnswer: -23171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*j - 18, 3*u = -9*j + 11*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t = 47*t + 30. Suppose i - 200 = 4*g, t*i + 4*g = 5*i + 168. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 3, 108 in ascending order.\nAnswer: -3, 1, 3, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/30*(-85)\/(-8)*2\/(6\/(-9))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/36)\/((22\/(-8))\/(729\/(-162)))\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34083364 to the power of 1\/2, to the nearest integer?\nAnswer: 5838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.347 + -0.653. Which is the closest to d? (a) -4 (b) -16 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474877 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - v - 3*v - 8010*v**3 + 4*v.\nAnswer: -8010*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 - d - 4. Let t be 1\/(15\/(-5))*6. Is 10 a factor of i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*4 - (-25 - -205 - 155)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7442)\/14 + (-204)\/476 - 9. Sort -0.1, -2\/5, 2\/11, h.\nAnswer: h, -2\/5, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3*z - 30, 4*y - 2*z + 0*z - 30 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5600 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 2.5149.\nAnswer: 0.326937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -397, -640, -927, -1270?\nAnswer: -1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 25 - 50. Suppose -g = -f - 28. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 = -2*a, -a - 14 = -3*a - 2*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3166, 3209, 3250, 3289, 3326, 3361, 3394?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.7. Let h = 0.0446676 - -0.05533215. Let u = k + h. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/6 + -3)*(43 - 55). Suppose 4*s + 2*g + 32 = -g, 5*s - 4*g + 9 = 0. Is x > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:05 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -368, -741, -1132, -1535, -1944, -2353, -2756?\n\"Answer: f**3 - 15*f**2 - 335*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71903*-0.3.\nAnswer: -21570.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -405973, -811941, -1217909, -1623877, -2029845?\n\"Answer: -405968*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 2*x**3 + 339*x - 339*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 11. Calculate k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**3 + 176*i**2 - 170*i + 52. What is d(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181244*i**4*o**2 + 3*i**2 + 24*i*o**2 - 5*i*o - 28*o**2 wrt i?\nAnswer: -4349856*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - c + 11 = -16, 0 = -r - 5*c + 36. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 1. Let w be (z\/12)\/((-3)\/8). What is u in -w*u**3 - 16\/9 - 4\/3*u**2 - 8\/3*u = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 2*w**3 - 25*w**3 - 4*w**3 + 7*w**2 + w**2 - 141*w**5 + 14*w**4 + 138*w**5. Let l(a) = -2*a**3 + a. Let v(h) = -4*l(h) + m(h). Factor v(b).\nAnswer: -b**2*(b - 1)**2*(3*b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49\/2 - -25. Let d = 7.9 + 1.1. Let g = 8 - d. Which is greater: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*p**4*x**2 + 604*p**3*x**2 + 4*x**2 + 2*x + 33 wrt p.\nAnswer: -12*p**3*x**2 + 1812*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.2304206 rounded to 0 decimal places?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m + 2. Let j = -30 + 50. Suppose -3*f = 2*n + j, -3*n - 3*f - 9 = 18. Let w be d(n). Solve 5*s = -y + 21, -3*y = 4*s + w*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(833) + (sqrt(833) - (sqrt(833) + 4*-2*sqrt(833)))))**2.\nAnswer: -9450*sqrt(17) + 1687050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 639099 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37144 divided by 4.\nAnswer: 9286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 - 6*w**2 + 5*w - 6. What is the tens digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2*v + 2. Let y be l(2). Let s be 7 - 4\/((-8)\/(-6)). Let p be -60*(72\/20 - s). Calculate the greatest common factor of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 59. Solve -b*y - p = 9, 0 = -4*y - 2*p - 22 + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176343213 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -84*v**2 + 9*v - 7. Let t(k) = 86*k**2 - 7*k + 6. Calculate 4*d(c) + 5*t(c).\nAnswer: 94*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 15661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294.1 + 281. Let k = w - -13. What is the third smallest value in 6, k, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*c - 514 = 212*c + 3862 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1*6 + -5*(sqrt(66) - 3*sqrt(66)))\/(5*4*sqrt(6)*-2*3))**2.\nAnswer: 44\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1685\/(-214332)*53)\/(40\/6).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 608, 4809, 16220, 38447, 75096, 129773, 206084, 307635?\n\"Answer: 601*p**3 - p**2 - 3*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100122000 (base 3) in base 4?\nAnswer: -1231230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (0 + -1)) + (-17 - (42 - (-50 + 191)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 99 - 19 = 3*z, 3 = -3*x. Suppose 8*b - z = -11. Let n be 30\/(-8)*(b - (-42)\/(-20)). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o - 1. Suppose n + 17 = 4*b, n + 0 = -3*b + 4. Let g(s) = 1 - 6*s - b*s + 20*s - 4*s. What is -6*d(q) - 5*g(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + 9678828 - 9678828.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346 + 1053*z - 1053*z - z**3 - 2736 + 1390.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1) + (-1 - -7) + -6. List the prime factors of (q + -11)\/(1*-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 14, -0.014?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = -141*t + 1530. Calculate the remainder when 1930 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -13, -33, -61?\n\"Answer: -4*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-4)\/(-12)). Let d = 126 - 106. Solve 0 = n + r*n + d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (78\/(-18) + 4)*(-10 - -4). Suppose -m*p - 5*u + 107 = 0, -5*u = -3*p + 224 - 26. Calculate the remainder when p is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 22*h + 42. Let x be v(-20). Suppose 4*q = -2*p - 90, x*q + 79 + 36 = -3*p. What are the prime factors of 22\/(-15)*-24 + 7\/p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 171 = -6*i. Let y = i + 2. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 205*s**3 - 2200*s**2 + 2000*s.\nAnswer: -5*s*(s - 20)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -495 + 496.78. What is o rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -1 - (-7 - -9 - (-3 + 6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335114503 at most 335114505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 6. Let y(g) = 11*g - 12. Let w(l) = -3*y(l) - 7*z(l). Determine w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(5*g**3 - g**3 - 2*g**3) + 3*g**3 + 3*g - 3*g + (-8*g**2 - 5*g**2 + 2*g**2)*(g - 2 + 2) to h*g**2 + q + z*g**3 + w*g and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1648 = -40*q + 43*q, -2*q - t + 1101 = 0. Let f = q + -629. Are -78 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -222, -209, -180, -129, -50, 63, 216?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -239756433 bigger than -239756432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikikifiiikkkfiikk. What is prob of sequence iff?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17159 + 17165. Solve 4*v = o + 3, 2*v - 3 = -o + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*o = -566*o - 9760. What is the remainder when 229 is divided by o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-33))\/((-6)\/54*10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*i + 4, 4*i - 4*c + 1 = -7. Let p = 1 + -17. Let t = -16 - p. Solve h - 4*g = -0*g - 7, 5*h - i*g - 19 = t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - -5 - 6\/9. Which is smaller: x or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d. Let n(r) = 454*r + 1 - 599*r + 37*r. Calculate b(n(i)).\nAnswer: -324*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 - 186. Let y = 213 + x. What are the prime factors of y?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5036 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131476?\nAnswer: 2, 32869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(4 - 1 - 2)*((-3*p + p - p)*(2 - 1 + 1) - 5 + p + 5 + (0 + 0 + 2*p)*(-1 - 3 + 6) + p + p + 0*p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29914352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + 8*u)*(4*u - 3*u + 0*u)*(-5*u + 3*u + 4*u) as o*u**3 + r + a*u**2 + n*u and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 22. Let d be 1\/((-3 + (-42)\/(-18))\/2). Let h = d - z. Solve -2*w = 4*v + 16 + 2, 3*w = 2*v + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -21. Solve d*w - 2*m = 0, -4*w = w + m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 110. What is the first derivative of 3*f**3 - 6 + l + 0 - 7 wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3\/4 - 215*z**2\/4 - 795*z\/4 - 585\/4 = 0. What is z?\nAnswer: -39, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230331 + -452?\nAnswer: 225435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 712 - 34901\/49. Find the common denominator of s and 44\/105.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 19*n + 55740. List the prime factors of n.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 14 = -5*q + 2*g, 2*q = -2*g. Let c(s) = 4*s - 3. Let l be c(q). Suppose l + 1 = 3*y. Solve -2*m - y*m = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/88)\/((-1)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232711645.\nAnswer: 5, 61, 762989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqqd. Give prob of sequence sqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m = -22*m + 5698. Let f = 521 + m. Solve 0*g - 2*g - 4*o = 16, f*g + 4 = -o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**2 - 5*i**4 + i**5 + 5*i**5 + 5*i**4 wrt i.\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x + 9*x - 4*x)*(x - 2*x - 5*x) + 15*x - 15*x - 12*x**2 + (1 - 5 + 2)*(-x**2 + 4*x**2 - x**2) as q*x**2 + n*x + t and give q.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3\/5, -187588, 0.1, -5, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t**3 - 3926117175*t**2 + 3926117175*t**2 - 39*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -7 (c) -0.22 (d) -0.014 (e) -5\/26 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 13888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 4489\/141272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q + 0*q**4 - 6\/5*q**5 - 3*q**2 + 0*q**3 + 6. Find the second derivative of r(l) wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 4*j - 10. List the prime factors of (9 - j) + 48\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2. Let d(t) = 90*t. What is d(y(f))?\nAnswer: 450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 486 = -1398 + 2694 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 + 1051?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + 2.5. Let f be ((-5)\/(-3) - 4\/4)*3. Let h be (-1*4 - -1) + (-450)\/(-162). What is the nearest to h in -2\/5, f, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 73.4, 0.1, -4, 5, 1?\nAnswer: 73.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - sqrt(600)*2) + sqrt(24)\/sqrt(4)*-3)\/(sqrt(15)\/sqrt(80) - sqrt(432)*2).\nAnswer: 52*sqrt(2)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**2*m - 2515*b**2*t**2 + 975*b*m*t**2 + 2*b*t - 5*m wrt b?\nAnswer: -12*m - 5030*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 0) + -1)*(-50)\/20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:06 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12939, -12825, -12635, -12369?\nAnswer: -12027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 44*f - 3. Let y be (-1 + 1)\/(0 + -1). Suppose y = k + 2*k - 42. What is the remainder when b(1) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 14. Suppose 11 + 10 = -k*a. Suppose 0*s + s - 3 = -t, 4*t + 2*s - 4 = 0. Put 1, t, a in increasing order.\nAnswer: a, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*k - 2*k - 3, 2*k - 4*h = 16. Let v be (-3)\/6 - (-5)\/2. Let u = k - v. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/230 and -107\/393576?\nAnswer: 1967880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -458500677 divided by -152833559\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 22 = -f, 3*f + h - 46 = 4. Let o(v) = 50*v - 25*v + 23*v. Let b be o(3). What is the greatest common divisor of f and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112.78 + 112.7745794. Round w to 4 dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -189\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 - -390. Which is the smallest value? (a) 0 (b) 0.5 (c) p (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010480957 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45083*n**4 - 13*n*o**3 + 3*o**3 - 4*o**2 - 11858*o - 2 wrt n.\nAnswer: 180332*n**3 - 13*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2726227413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -1\/127 (c) 0.3 (d) 7 (e) -21 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656 is divided by 293.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 19*z**2 - 11*z**2 - 2 - 10*z - 9*z**2. Let u be j(-8). What is the highest common factor of u and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/56*8\/(-21). Solve -m*j**2 + 0*j + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3cb012ca - 3?\nAnswer: 3cb012c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c - c)*(-4 + 1 + 4)*(-245 - 146 - 175) to the form p + n*c and give n.\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2*p = -954 + 970, -4 = -h - 2*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 38. Let h(j) be the second derivative of -1\/6*j**4 + j + 2\/3*j**3 + 0*j**x + 0. Find the second derivative of h(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -0.2933 (c) -4.46 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.00015 + -11. Round l to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*q + 51734 = -3087, q = 2*u - 109682. List the prime factors of u.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*u**2 + 73968*u - 182*u**2 - 178*u**2 - 36969*u - 36999*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 9.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-30) - 2\/(-6). Let m = 63 - 55.5. Let q = m - 7. What is the nearest to s in 0, q, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.7 (b) 1 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1174*f**3 + 902*f**3 + 1709*f**3 - 1 to the form q*f + a + w*f**2 + r*f**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1992346*w**4 + 1060383*w wrt w?\nAnswer: -23908152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**10\/75600 + d**9\/18900 - d**8\/16800 + d**4\/8 - 4*d**2. Let p(w) be the second derivative of l(w). Factor p(a).\nAnswer: -2*a**3*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + (-14)\/6. Let v = 6 + q. What is the units digit of (15\/(-6))\/((-2)\/v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9))**(-1\/40))**(-23\/2) assuming j is positive.\nAnswer: j**(-23\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4 - 2*p + 2 - 35*p. Does 6 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -2\/5, 65?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911603 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 divided by 10.\nAnswer: -163\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 686938*j**2\/3 + 39323422340*j - 78647760600.\nAnswer: (j - 2)*(j + 343470)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -0.3, 0.79?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/170*4\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -62*x**3\/3 - x**2 + x + 6. Let p(y) = -6*y. Calculate p(v(g)).\nAnswer: 744*g + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:53 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-241*k + 241*k - 26*k**4)*(-2999 + 8 - 2208 - 651 - 1932 + 280) to the form u*k**4 + g + p*k**3 + s*k**2 + a*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 9\/10*i**5 + 7\/4*i**4 + 0 - 1\/2*i**3 + i - 3*i**2. Find u, given that o(u) = 0.\nAnswer: -1, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 336.0641ml?\nAnswer: 0.3360641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:34 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 14*p = 4*o + 3*p + 3, -36*p = -36 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 5*k - 23. Let a be i(-5). Suppose 4*q = 5*j - 706, 5*j + q + a*q = 713. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119733, 119731, 119729, 119727, 119725?\nAnswer: 119723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a factor of 845178698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dso when three letters picked without replacement from ndtoslln.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u + 10. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25.4. Let z be ((-9)\/6 - -1) + 0. Which is the closest to z? (a) f (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (28 - 14) - 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + 4.88. Let x = v + -4.9. Which is the third smallest value? (a) x (b) 2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 30 = 12*i - 147. Factor -1\/4*q**3 - 6*q - i + 11\/4*q**2.\nAnswer: -(q - 6)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Let j be (-2 - z - -2)*-1. Suppose -3*s + 24 = -j*s. What is the least common multiple of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 181031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 17*d**2\/2 - 37*d\/2 - 19\/2.\nAnswer: (d - 19)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 45 - 15 = 12*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108676 and 2918900.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/(-30) + -2 + 4. Suppose 0 = 2*l + q - 1, -5*l + q - 4*q + 3 = 0. Is l smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6*f + 3*f = -34, -4*f + 12 = b. Calculate the remainder when 58 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 297?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:57 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -30, -59, -100, -159, -242, -355?\n\"Answer: -f**3 + 3*f**2 - 25*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70 and -12.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 35*q**2 + 121*q + 97. Calculate the lowest common multiple of 45 and j(31).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30534?\nAnswer: 2, 3, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 3\/100*q**6 - 1\/3*q**3 + 0 + 0*q + 1\/150*q**5 + 61*q**2 - 3\/20*q**4 + 4\/525*q**7. Let b(c) = 0. What is c?\nAnswer: -5\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 822 + -16447\/20. Let v = 140 - 1775\/12. What is the common denominator of v and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*h - 6, 0 = 3*h - 3*p - 0*p. Let v(s) = 2*s - 4. Let w(q) = q - 1. Give h*v(m) + 5*w(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (18 - 40) - (1 - -21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28\/165 - 1\/33. Which is the closest to 2\/5? (a) -2 (b) d (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 times 5?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5647 + -5626. Solve 147\/2 + 3\/2*z**2 - y*z = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12222 is divided by 5409.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 2, o: 1, j: 1, q: 2, h: 1}. What is prob of sequence jo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(80) + 0)*-6.\nAnswer: -24*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -10. Suppose -2*y + 23 = 3*y - 2*s, -10 = -y - 5*s. Suppose 6*i - y*i = 4. Solve -k + i = -1, -2*h = 5*k - c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2624\/80)\/(1\/5). Suppose -7*n + g = -18. Suppose 4*b = n + 34. What is the remainder when 41 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18174672 and 107\/1170.\nAnswer: 1181353680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3427 is divided by 196?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*c - 32*c + 224401 + 1477957. Calculate the greatest common factor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246740.\nAnswer: 2, 5, 112337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 7*c - 3. Let w be i(6). Solve -2*h + 11 - w = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -6184981.\nAnswer: -18554943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllglhulmglhulmmlll. Give prob of picking 1 u, 1 g, 1 h, and 1 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3084 - -3088.4. What is r rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 419561, 0, -44?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6972\/104 + (1127\/1274)\/(-23)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 56\/(-11) - 103\/1133. Solve -2*p + 15 = 5*f, 0*p + 5 = -d*p - 2*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (2 + 2\/(-1)). Suppose d = -4*u - 4, 3*d + q*u - 8 = -2*u. Suppose -d*l + 4 = 3*s - 0*l, -s = 4*l - 4. Solve 2*b + 4 - 12 = s, -3*j = 3*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*1*sqrt(66) + sqrt(66) - (sqrt(66) + (sqrt(66) - 2*sqrt(66))*-3 + sqrt(66))))\/(-4*-5*(sqrt(54) - 4*sqrt(54))).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*x + 16 = 0, 206*h = 204*h - 3*x - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from itutqdu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:08 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f**2 + 211*f + 4. Let n(u) = -38*u**2 - 421*u - 8. Determine 3*n(d) + 5*y(d).\nAnswer: d**2 - 208*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 + 10 = 3*o, 5*n - 15 = -5*o. Solve n = -3*j + j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/12)\/((-2)\/(-4)). What is the nearest to m in -1, -0.3, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*l**2 - 3\/2*l.\nAnswer: 3*l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/(-1*(-20)\/70)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**4 + 12*d**4 - 9*d - 10*d)*(3*d - 3*d - d)*(4 - 42 - 15).\nAnswer: 53*d**5 - 1007*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1672 and -0.1.\nAnswer: -1672.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000236 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (11 - (-25 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 4\/(-3))*-3. Let r(k) be the first derivative of -3*k**2\/2 - 9*k + 2. Calculate the remainder when r(p) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 337 and 33130.\nAnswer: 11164810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51306719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168183447\/176 - 955591. Let y = -39\/11 - o. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q**2 - 192*q**2 + 131*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*h = -390, 0 = -f - 6*h + h + 143. Calculate the greatest common factor of 52 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -335 in -0.4, -5, 2\/19, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 328*b + 975. Calculate the smallest common multiple of 45 and h(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*((-15)\/36)\/((-660)\/704).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 6 - 5*g + 2*g**2 + g**3 + 3*g**2. Let l be a(-6). Let p(o) = -2*o + 2*o - 19 + o**3 + 18. Determine p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220.38 + -1.9?\nAnswer: -10222.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**3 - 8*m**2 + 2*m - 8. Let z(u) = -6*u**3 - 7*u**2 + 2*u - 8. Let r(w) = -4*x(w) + 5*z(w). Find the second derivative of r(f) wrt f.\nAnswer: -60*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -2\/9 (b) -1\/5 (c) -1 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {t: 1, i: 2, g: 3, k: 10}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 21674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2846, -4192, -5528, -6854, -8170, -9476?\nAnswer: -10772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -2, 0.08, -2124?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -410, -1746, -4008, -7196, -11310, -16350, -22316?\n\"Answer: -463*l**2 + 53*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**5 - 4*i**3 + i**2*v**3 + 9*i*v**3 + 6*i wrt i.\nAnswer: 140*i**3 - 24*i + 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.31 (c) -0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 63, 2\/15, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 12, 11, 8, 3, -4, -13?\n\"Answer: -a**2 + 4*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4451*-3\nAnswer: 1.3353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5, m + 0*m = -d + 9. What is the remainder when 20 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-170))\/((-216)\/(-15) + -14)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -3268346b?\nAnswer: 3268346a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*172\/16 + -5. Let i be 3\/((-54)\/(-8))*72\/z. What is the third smallest value in -16, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l + 98. Let u be (0 + -1)*48\/4. What is the remainder when l is divided by ((-75)\/6)\/(6\/u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -52, 0.07, -25?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qotq when four letters picked without replacement from {t: 2, o: 1, q: 3, w: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/182 - (-4)\/26. Suppose 3*n + 0*n - 6 = g. What is the lowest common multiple of ((-2)\/(-3))\/((-2)\/(-33)) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 13*m**2 + 10*m - 9. Calculate z(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 + 79*a**3 + a**2 - 17913*a wrt a?\nAnswer: -20*a**3 + 474*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7622 rounded to 2 dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-165)*2\/6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*c - 47 + 70, -27 = -5*w - 3*c. Solve 14*h = -w + 31 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2503016 < -2503008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/60 + b**5\/30 - b**3\/6 + b**2. Let j(y) = -y**2 + 5*y - 1. Suppose -5*n + 20 = -n. Let x be j(n). Give t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 1\/8 (b) 1.3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28641296 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 295*n - 20879. Determine o(-146).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + 59137 - 58793 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.32195 and -0.1.\nAnswer: 2.22195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(sqrt(500) + (sqrt(500)*2)**2*1 + -1) + 5)*-6 + 4.\nAnswer: -71984 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6705 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + r**2. Let t be w(-1). Solve t*c - 15 = 0, 0 = 2*n - 5*c + 9 + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**(-9\/5) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 4792.\nAnswer: -335.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(1 - 2 + 3)*(3*m**2 + 5*m**2 - 2*m**2).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -31*k - 99. Calculate the remainder when 50 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:32 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 773168 plus -1?\nAnswer: 773167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88*((-9)\/(-1))\/36*1*(-1)\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 3}. Give prob of picking 1 r and 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 2:48 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7469 and 460944.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*g - 3*x - 21, 2*g + x = -31. Let s be ((-5)\/(-4))\/((-4)\/g). Solve -s*a + 29 = 4*y - 10*a, -5*a = y + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 - 7*u - 3. Let w be s(7). What is the units digit of (-2)\/(1*w\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145892.\nAnswer: 2, 36473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27226984 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 2023*y**2 + 8079*y - 6057.\nAnswer: (y - 2019)*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and 26355.\nAnswer: 26342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/231048 and -81\/88.\nAnswer: 2541528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 125. Suppose -2*b + 913 = -10*f + 5*f, -b + l*f + 455 = 0. Suppose -b - 598 = -7*a. What are the prime factors of a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 4*n + 4*n)*(4*n + 0 + 0)*(-1 + 2 + 0).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 406 - -140\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202 and 10.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 830 and 130893905?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l - 25. Let b(w) = 1. What is 25*b(y) + s(y)?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 792 = 3*a. Let g = 79 - a. Let f(u) = u**2 + 9*u - 22. Is f(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r*r*r\/((r\/r**(-3))\/r))**0*(r*r*r**(2\/11))\/r**(1\/5)*(r\/(((r\/((r\/(r**(-1)\/r))\/r))\/r)\/r))**(-37) assuming r is positive.\nAnswer: r**(-8031\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 21 - 13 = 0. Suppose 0*f + 4 = -f, -f = y*s - 12. Suppose n + s*g = 6*n - 959, 0 = 4*n - 5*g - 769. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5607370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-175) + 8\/(-13396). Let m = -2\/3349 - a. Factor -8\/5*i + m*i**2 - 2.\nAnswer: 2*(i - 5)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*6 - 1) + -1. Suppose 0 = -o*g - 4*q + 44, -2*g + 7 = -5*q - 50. Let f(t) = -9*t + 62. What is the remainder when f(0) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 625 and 2500.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opppopoppkokopopppp. Give prob of sequence okoo.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 + 5*j - 4. Determine n(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1\/3, 26, -0.8.\nAnswer: -0.8, 1\/8, 1\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a755 - -21?\nAnswer: a776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (6*3*sqrt(17))**2)*-1 + 1 + 2.\nAnswer: -5505 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.2 + -12. Which is the closest to -2? (a) s (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**3 + 38*f**2 - f - 77. Is b(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 80630070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301128 is divided by 247.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, -13685, 1, 4, -3, -5 in descending order.\nAnswer: 4, 1, -2, -3, -5, -20, -13685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 9482902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 26. What is f(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -42*(-1 + -6 + (-81)\/(-10) + -1). Which is the second biggest value? (a) l (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 - 230 + 454 - 23*y**3.\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91277.89 + 91647. Let f = 3.89 + d. Let q = 376.31 - f. Round q to 1 dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-3))\/(-2) + 40\/(-9). Which is the closest to 0.03? (a) v (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398311.\nAnswer: 398311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040 a factor of 2716634681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*11\/308*((-4)\/(-13))\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203\/44 + -48\/11. Which is the closest to 2\/7? (a) 0.2 (b) 2\/35 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 5*q + 6*q**2 - q**2. Let z be s(-5). Suppose 54 = 3*h - z*g + 5*g, 2*g = 5*h - 121. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*u*v**3 - 11*u*v**2 - 25016*u + 9*v**3 - 520*v**2 - 10 with respect to u.\nAnswer: 9*v**3 - 11*v**2 - 25016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508 = -88*u + 304 - 284 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a - 8*a + 6*a**2 + 1 + 2*a**4 - 13*a in the form m*a**4 + o*a + d + s*a**3 + y*a**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + -1) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*m + 141, -5*m + 14 = 4*r - 176. What is the highest common factor of m and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 4*u**3\/3 + 2. Let o(q) be the second derivative of -q**3\/3 - 12*q. What is o(c(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-3)*(-8466)\/(-544) and -81\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/227906890 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16013 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: Suppose 0 = -5*h - y - 12, 2*y = -h - 6 - 0. Let n(f) = 0*f + f - 5*f. List the prime factors of n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) -1\/8 (c) 2\/5 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:22 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 4*n, -3*n + 6*n = 6. Suppose q = t - 0. Let y be (-6 + q)\/(0 + -2). Put -4, -2, y in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5330?\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y + 22*y - x - 56465, -5*x = -2*y + 37665. What are the prime factors of y?\nAnswer: 2, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.8 rounded to one decimal place?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555575 is divided by 138865?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - 4*t**2)*(-2*t + 3*t + t)*(1 + 2*t - 1) - t**4 + t**3 - t**3.\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/33))**(-5\/8)\/(((j\/j**34*j)\/j)\/j**22) assuming j is positive.\nAnswer: j**(7255\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + q + 5, -3*y + 2*q = -14. Suppose -3*o + 2*o = -4*j - 828, -3312 = -y*o - 4*j. Is 65 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34723884 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638663?\nAnswer: 638663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (68\/(-16))\/(3\/(-72)). What is the closest to u in 1\/8, 3\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9431*c**2*n*r + 74*c**2*n - 3*c**2*r + 2*c**2 - 101*c*n - 2*c + 10*n*r + 2*n wrt r?\nAnswer: -9431*c**2*n - 3*c**2 + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 y when three letters picked without replacement from {j: 4, y: 3, i: 1}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7772 - 200*z - 7772 in the form f + o*z and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 12. Let q be n(-8). Let f be -4 - (1 + 2 + q). Is -5 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c**3 + c + 1. Let j be r(-1). Suppose 735 = 254*a + 100 - 381. Solve 4*l + j = -2*s, 0*l + a*s = -l - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15. Suppose h*s = -3*s + 15. Suppose c + 4*b = 6 + 14, -5*b = s*c - 70. Solve 2*j + 2*j = c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 + 8*y - 5. Let j(l) = -l + 19. Let c be j(13). Calculate the lowest common multiple of t(c) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 o, and 1 k when four letters picked without replacement from {x: 3, j: 5, o: 2, k: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 2*h + 29 + 10*h. Let w be f(-9). Let t(c) = -4 + 5 - 58*c**2 - c + 59*c**w. Let y(s) = -5*s**2 + 6*s - 5. Determine -3*t(g) - y(g).\nAnswer: 2*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -18*p + 2392. Let c(b) = -5*b - 22. Let d be c(-9). What is the greatest common divisor of p and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1810381*i**2*z**3 + 10914643*i**2 - 2*z**4 wrt z.\nAnswer: -5431143*i**2*z**2 - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**3 + 2255*o**2 + 333*o + 3453. Calculate t(-322).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**4 - 20*q**3 + 20*q**3 + 3*q wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16778817.\nAnswer: 3, 11, 169483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13323410 + 2?\nAnswer: 13323412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 16*b - 2. Suppose -b*i + 248 = 2*i. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283336741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in -2, -0.2, -6, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 + 9*z**2 + z. Let c(x) = 8*x**3 - 26*x**2 - 3*x + 1. Let p(b) = -4*c(b) - 11*i(b). Let m = -525 - -522. Calculate p(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 49\/3. Let x = -5 + 8. What is the smallest value in a, 0.3, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 378\/8 + (5\/(-14))\/(1910\/1337). Let w(l) = 2*l + 15. Let o be w(-7). Sort 3, s, -4, o in descending order.\nAnswer: s, 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c - 21*c - 4*c + (-4*c + 0*c + c)*(-5 - 1 - 1).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2770 = 4*s - 4*q - 2910, s + q = 59. Let a = -52 + 143. Calculate the remainder when a is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/27)*m))\/m*m*m\/(m\/((m*m\/(m\/(m\/((m\/m**10*m)\/m))))\/m))*m*m**10*m**4 assuming m is positive.\nAnswer: m**(673\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4502, 71, 1, 0 in ascending order.\nAnswer: 0, 1, 71, 4502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -71\/12*i**4 - 2*i**2 + 0 + i - 31\/2*i**3. What is the first derivative of b(a) wrt a?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322095 and 50?\nAnswer: 3220950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/4 + 470*d**4\/3 + 1970*d. Suppose a(y) = 0. Calculate y.\nAnswer: 0, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81 + 23*y - 23*y + 362*y**4 + 164 wrt y.\nAnswer: 1448*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1185.7, 0.5, -2\/5, -5?\nAnswer: -1185.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*u**2 - 3*r*u**3 + 3480*r + 135*u**3 - 44*u**2 + 3 with respect to r.\nAnswer: -4*r*u**2 - 3*u**3 + 3480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 2*m**5\/15 + 47*m**4\/24 + 616*m**3\/3 - 1262*m**2. What is the derivative of r(c) wrt c?\nAnswer: 16*c + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 15*j + 849000. What is j rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35809\/7410 - -1\/1235. Let t = -516981\/22606 + 2028\/89. Calculate the common denominator of t and c.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/12 + 490*w**2. Let g(i) = 5*i + 7. Let s(j) = 10*j + 13. Let f(o) = -11*g(o) + 6*s(o). Determine f(d(y)).\nAnswer: -10*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 470 - 44545?\nAnswer: -44055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**5 - 3*q**4 - 6*q**3 + 3*q**2 + 276*q + 3. Let p(t) = t**4 - t**2 + t - 1. Let j(a) = h(a) + 3*p(a). Find the second derivative of j(z) wrt z.\nAnswer: -20*z**3 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 46*c**2 - 108. Let s(m) = -m**2 + 2. Let t(h) = 10*s(h) + 2*y(h). Differentiate t(r) wrt r.\nAnswer: 164*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 96 = -3*d, -2*k - 27 + 79 = 4*d. What is the least common multiple of k and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96987 and 4740607?\nAnswer: 156440031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 45, 46.1 in ascending order.\nAnswer: 8\/7, 45, 46.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**6\/720 + 5*c**4\/12 - 2*c. Let h(v) be the third derivative of g(v). Let t(k) = -2*k**2. What is t(h(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = -3*i, 5*m + 0*i = -2*i + 6. Put -5, m, -4, -3 in descending order.\nAnswer: m, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1110000000?\nAnswer: -1110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -11. Let x = 50.005 + s. What is x rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 839 and 14.2.\nAnswer: 11913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 1\/7, 2\/11, 4 in increasing order.\nAnswer: 1\/7, 0.18, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 15 - (30 + -39).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 6.91. Let m = 1.91 - t. What is the biggest value in 1, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 19*f - 8. Let n(d) = 10*d - 4. Let m(w) = -5*n(w) + 3*v(w). Let x(s) = -6*s + 3. Give -4*m(y) - 5*x(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*m - 7895 + 7903 = 0, -5*t - 10 = 2*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -256c + 4a?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3)\/z)\/(z\/z**(2\/7)))**2*(z**0*z*z)**15*z*z**6*z**(-6) assuming z is positive.\nAnswer: z**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-1\/2)*m))\/(m*m*m*m**3*m))\/((m\/m**14)\/m*m*m\/m**(-6)) assuming m is positive.\nAnswer: sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)**19*p\/(p**(-3)\/p)*p*p**(-7)*p*(p\/p**(-6))\/p**6*p\/(p**(1\/6)*p)*((p**(-2\/21)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(703\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n + 58. Let j be m(3). Let p = 24 - j. Calculate the greatest common factor of p and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 2341*a**2\/3 + 181415*a\/6 - 784667\/3.\nAnswer: (a - 4643)*(a - 26)*(a - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2 - 4. Let d(k) = -k + 3. Let v be d(-3). Let i be 3\/9 - (-58)\/v. Solve 0 = a*w + 2*l - i, 0 = 2*w + 5*l - 8 - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.826 + 0.174. Let d = 3 - 0. Let b = d - 3.5. What is the biggest value in b, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 1057738.\nAnswer: 37\/1057738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -758, -1455, -2110, -2729, -3318, -3883?\n\"Answer: -t**3 + 27*t**2 - 771*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 - -181.0000115. Round f to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (2 - 3\/3). Let o = -147 + 145. What is the fourth smallest value in -0.1, h, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 40*f = 17*f + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - 79248?\nAnswer: -7922a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/19 + 62*f**3\/19 + 538*f**2\/19 + 1162*f\/19 - 1764\/19 = 0. What is f?\nAnswer: -18, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75758?\nAnswer: 2, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**2 - 5*c. Let m(h) = 9*h**2 + 4*h. Let v(g) = 4*j(g) + 5*m(g). Let b(i) = i**2 - 3*i. Calculate v(b(r)).\nAnswer: 5*r**4 - 30*r**3 + 45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 36. Let z = 167 + -185. Let v = z + a. Is v not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by -7.\nAnswer: -127\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/54*((-1090)\/(-20928)*-300 - (1 + -17)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13e - -41ad9?\nAnswer: 41c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2715576 take away 85593?\nAnswer: -2801169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 464. Suppose 0 = -4*n - 24, 0 = -2*a + 592*n - 589*n + 598. Calculate the highest common factor of a and f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325943750.\nAnswer: 2, 5, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 305730?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmytmntmmmttmmymcm. What is prob of picking 2 y?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.213789 meters in centimeters?\nAnswer: 721.3789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4327089 less than -4327087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-30)\/(-7) + 4\/(-14). What is the nearest to -2 in b, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -433*d**7\/70 + d**6\/60 - 5143*d**5\/30 + 2*d**2 + 486. Find the third derivative of k(b) wrt b.\nAnswer: -31176*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*c + 4*c = -19, -4*c - 4 = d. Let v = 60 + -49. Let z = -7 + v. What is the highest common divisor of d and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 2*l - 2*l)*((-23 + 89 - 36)*(3 - 1 + 3) + 5 - 2 - 2).\nAnswer: -151*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24263 is divided by 12116?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:16 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102167?\nAnswer: 13, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/16 and ((-1551)\/(-44))\/((-15)\/(-6) + 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017774 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 151, -4 in descending order.\nAnswer: 151, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1386)\/(-945))\/((-1)\/5*(-9)\/9).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -18. Suppose -j*h + 2*h = -215. Let z(o) = -3*o. Calculate the remainder when h is divided by z(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let w(v) = -v - 1. Let u(i) = -i - 2. Let x be 25\/15 - (-4)\/(-6). Let q(g) = x*u(g) - 2*w(g). Determine q(r(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -417121*f**2*v + 7448919*f**2 - 10*v wrt v?\nAnswer: -417121*f**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 58114.81 nanometers?\nAnswer: 0.00005811481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Suppose -5*n + 8 + 12 = l. Suppose -x + 35 = h + 1, -133 = -n*x - 5*h. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b - 5. Let a(l) = -5*l + 4. Let u be (-3*(1 + 0))\/(-1). Suppose -p - 16 = u*t, -t - 3*p - 16 = -0*p. What is t*h(w) - 5*a(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.34 (c) 20 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let i(r) = 4*r - 3. Let a(x) = 5*f(x) + i(x). Determine a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b - 33 = -j, 5*b + 25 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(1872) + -1.\nAnswer: -7 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20184, 20053, 19836, 19533, 19144?\n\"Answer: -43*v**2 - 2*v + 20229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddyydy. What is prob of sequence yy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77.846 and -0.170271037.\nAnswer: 77.675728963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -44, -60, -74, -86, -96, -104?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -53, -52, -33, 10, 83, 192, 343?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -149\/79 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12757*w + 6383*w = -6388*w - 602 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*l - 70375, 2*d + 8854 = 3*l + 44037. What are the prime factors of d?\nAnswer: 2, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a3a - 3?\nAnswer: 5a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 + 3 = 0. Suppose -4*s = p*v - 10, -3*v - 3 = s - 9. Suppose -v*m - 2*k + 9 = -5*m, 5*m + 8 = k. Sort -2, m, -4 in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 120*p. Let v(o) = 3*o + 1. What is -q(j) + 3*v(j)?\nAnswer: -111*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 9576?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15081228 is divided by 260021.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -257, -274, -289, -296?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 6, c: 6, e: 5, t: 1, s: 1}. Give prob of picking 2 q and 1 s.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 - 24*t**4 - 56*t**3 - 64*t**2 - 36*t - 8.\nAnswer: -4*(t + 1)**4*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*z**3 - 18*z**2 + 17*z**2 + 16*z**3 as w*z + d*z**3 + s + x*z**2 and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1579292.3916 + -314.6084. Let s = k + 1579644.99958. Let i = -38 + s. What is i rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 55.27. Let u = j + 0.77. Sort u, 0, 2 in decreasing order.\nAnswer: 2, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 14*j. Let c be z(14). Determine h so that 3\/7*h**4 + 0 - 6\/7*h**3 + c*h + 3\/7*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 72 + 0 = 0. Let s(o) = -o**2 + 17*o - 56. Let q be s(z). Which is the closest to 0? (a) 2 (b) q (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 97 + 331 = -t, 864 = -2*t - 2*f. Let n = t + 431. Solve -z + 17 - 20 = n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1417\/7085*(-2225)\/(-5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 5*i**4 - 3*i**4 - i**4 + i**4 + (3*i**2 + 0*i**2 - 2*i**2)*(2*i - 2*i + 4*i**2) to the form d*i + p*i**4 + y + l*i**3 + t*i**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65318 is divided by 16329.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -16*y**2 - 2*y - 18. Determine n(-3).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:48 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 55877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28653?\nAnswer: 3, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 101*i**2 - 13*i - 46*i**2 + 9 - 56*i**2. Is 8 a factor of d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0 - 1\/3*w**3 - 3\/280*w**7 - 24*w**2 - 5\/96*w**6 + 0*w + 1\/40*w**5 + 3\/8*w**4. Find d, given that z(d) = 0.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 - -4.5. Let q = -298.8 - -299. Let t = -7 - -6. What is the biggest value in 0.3, q, t, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4783*b + 945. Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 5*b. Suppose -2*s = -1 - b. What is the units digit of 4 - s\/(-2)*0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6232.14 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 14, j: 1, d: 3, o: 1}. Give prob of sequence wwd.\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0a8 (base 13) to base 2.\nAnswer: -101011001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*h - 11618 = -2114 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 16. Let d be m(0). Suppose 2*v = d - 4. Let j be 12\/(-7)*(0 - 35\/5). Calculate the highest common divisor of v and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2675 and 615.\nAnswer: 329025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**2 + 220225*o**4 - 220225*o**4 - 769*o**5 - 85 wrt o.\nAnswer: -46140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.88 + 0.12. Let o = 1011 + -1010.9. Put d, o, -1\/8 in descending order.\nAnswer: d, o, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 177*h + 177*h)*(1 - 4 + 2).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39.7 (b) -2\/19 (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/30 + f**5\/4 - f**4\/24 + 3*f**3 + 69*f**2 + 15*f. What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 66 - 106 = 0. What is the lowest common multiple of v and 784?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 25. Suppose -8*o + 83 = 19. Let c be o\/3*12\/8. What is the biggest value in b, c, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -7. Let h = 4.6 + -0.6. Let v = -299\/2130 - -1\/142. What is the third biggest value in v, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*q - 17, 2*f = -q - 0*q + 6. Let y be (((-368)\/12)\/(-4))\/(f\/3). Solve y*u - 20*u + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/4284*(-3255)\/(-4650)?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12274 and -107\/63384.\nAnswer: 20473032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25664044 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = o, 90*o - 2*j = 85*o - 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m - 18234 = 5280 + 3856. Calculate the remainder when m is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -2101101?\nAnswer: -2101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -6*o + 10*o + 4, -5*k + 12 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 2, a: 1, z: 1}. Give prob of sequence zy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mama. Give prob of sequence am.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*v - 8 = 0, -5*v = 2*c - 51 + 50 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqvmvlqqvqiiqvq. Give prob of sequence ivim.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 333 and 407.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 929648 and 1067.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/24 - b**4\/24 - b**3\/2 - 2*b. Let x(g) be the second derivative of t(g). List the prime factors of x(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 5:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -0.7. Let x = 0.1 - -0.3. What is the second biggest value in x, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39478400 >= 355305608\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqyyhhqhqqyhyhh. What is prob of sequence yq?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 2. Let c(n) = -104*n + 10. Calculate c(t) - 4*p(t).\nAnswer: -108*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 528 divided by 2\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -1, 1, -3, 224 in increasing order.\nAnswer: -3, -1, 1, 36, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(2\/9))))\/(u*(u*u**(2\/9))\/u*u))**(1\/3)*((u\/((u*u\/(u*u\/(u**(-1)\/u)))\/u))**44)**25 assuming u is positive.\nAnswer: u**(13199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.299 and 0.06635.\nAnswer: -0.35158865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let o be (-72)\/(-33) - y\/11. Find the second derivative of -5*b - 2*b**3 + o*b + 2*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 3*m + 2. Give q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -28045570870.4?\nAnswer: -28045570873.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 10*u + 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 3*w**2 + 2*w. Let h be c(3). Let b = h - -127. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123576, -988624, -3336606, -7908990, -15447244, -26692836, -42387234?\nAnswer: -63271906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 3*t - k + 58, -1676*k + 817*k - 63 = -6*t - 858*k for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-46)\/(-8))\/((-10)\/1040). Let m = t + 601. Solve 6*p**2 - 1\/2*p**5 + 0 + 3*p**4 - 2*p - 13\/2*p**m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1699, -2936, -4173, -5410, -6647, -7884?\n\"Answer: -1237*n - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24358)\/(-760) + -42 + 10.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 12*p**2 + 4. Let i be x(-12). Suppose i*v - 89 = 23. Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-2)\/7 + 3\/(-14)). Calculate the remainder when 42 is divided by (3 + -5)\/t + 113\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 14*d + 0*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 79a8 (base 12) to base 9\nAnswer: 20482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 437782.8 seconds?\nAnswer: 7296.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(88\/(-275))\/8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6415?\nAnswer: 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2339\/4 - 11657\/20. Let q = 2 + -2. What is the common denominator of x and 234\/(-40) - q - -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 516 - -1752.50728.\nAnswer: 2268.50728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) - 5*(sqrt(17) + -1)) + ((sqrt(68)\/sqrt(2))\/sqrt(2) - sqrt(17))**2 + (sqrt(17) + (1 + sqrt(17))*4)**2.\nAnswer: 60*sqrt(17) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.389758 and -3.\nAnswer: 1.169274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 97. Which is the second smallest value? (a) -4 (b) 7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11473 (base 15) in base 12?\nAnswer: 27a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)\/i*i\/i**1*i**2\/(i*i**(-2\/9)) assuming i is positive.\nAnswer: i**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -0.9, 2, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 1449, 4784, 11267, 21948, 37877, 60104, 89679?\nAnswer: 127652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/3 - 295100*l\/3 - 21771002500\/3 = 0.\nAnswer: -147550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 56. Suppose -t + j - 2 = 0. Suppose 2*n - t = -5*f, 2*n - f = 3*n - 19. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -844, -2.\nAnswer: -844, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.148 and -1.1.\nAnswer: -0.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2. Let x(d) be the first derivative of -4*d**3 + 27*d - 9. Let z(s) = 27*w(s) + 2*x(s). Let l(m) = -2*m. Give l(z(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 5. Let c be x(-3). Let b = 3 + c. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256844*k**2*q*s + k**2*s**2 + 2*k**2 - 4*k*q*s**2 - k*q + 77*k*s**2 - 3328*s**2 wrt k?\nAnswer: 513688*q*s + 2*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7790 and 10?\nAnswer: 7790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/416 and -11\/4134?\nAnswer: 66144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -122, 105 in ascending order.\nAnswer: -122, -6, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 43*l**3 + 7*l**2 - 7*l - 11. Let d(k) = -22*k**3 - 3*k**2 + 3*k + 5. Determine -7*d(m) - 3*x(m).\nAnswer: 25*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-26)\/(416\/(-16)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.136 + -105.864. Let b = -106.0406 - p. What is b rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 8*h - 24. Let l be q(-8). Calculate the highest common factor of 1080 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*y = -12, 62*y - 60*y = 4. What is the nearest to -10 in -0.2, -3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515697 times 0.4?\nAnswer: 606278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6283 = -5*t - 1518. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 1, x: 1, r: 2, v: 1}. What is prob of sequence ro?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159968?\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10)*-2)\/(9\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3075 - -3213. Solve 14*o = r - 124 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.06, 1.4689, 0.36?\nAnswer: 1.4689","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.5920267 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -752, -8 in ascending order.\nAnswer: -752, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793006.1 years to months.\nAnswer: 9516073.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqcqqqccqcqqqqc. What is prob of picking 1 c and 1 q?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 42. Let u = b + -33. Solve -3*l + g - 5 = 0, 0 = 4*l - u*g + g + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**7\/280 - d**4\/12 - 5*d**3\/6 + 5*d. Let a(w) be the second derivative of u(w). Find the first derivative of a(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*m**3*z**2 + 2*m**3 - 9*z**4 + 52 wrt z?\nAnswer: -40*m**3*z - 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from iqeatuaq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 62*j - 7*j**2 + 6*j**3 - 67*j - 1 - 5*j**3. Determine t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117829 and 7868599.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*f + 26*f**2 - 32*f to g*f**2 + q*f + b and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0 - 13*s + 6*s**2 - 5\/6*s**4 + 0*s**3. Differentiate u(b) with respect to b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5310.\nAnswer: -1\/1770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*d + 112 - 590 = 557 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose 5*s = r + 7*s - 3, 3*r + 2*s = -g. What is the closest to r in -0.5, -2\/3, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -25 - 5 + 2 - 13 - 12 - 8*f. Calculate l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -3 (c) -1\/8 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/24*3\/5. Let k(w) = w**3 - 5*w**2 + 3*w + 9. Let j be k(4). Suppose -j*u = 14 - 14. Is u >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 78*g**4 + 93*g**3 + 7*g**2 + g - 672. Let b(o) = -o**4 + 19*o**3 + o**2 + o. Let m(v) = -6*b(v) + p(v). Find the second derivative of m(k) wrt k.\nAnswer: 1008*k**2 - 126*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Calculate the common denominator of (x + (-3)\/10)*3 and ((-1)\/6)\/(51\/7701).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12870 - 4190 = 0. What is k rounded to the nearest 100?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121271 is divided by 2021.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m + 409. Determine l(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1111264 by -25256.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvtvvvvvvv. What is prob of sequence tvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 54) + (17 - -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*q + 5. Suppose -6 = q*o, -x - 5*o = 8 + 4. Suppose 4*h = 2*n - 24, -10*h = 4*n - 5*h + 17. Solve -n = x*f - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + d**2 - 3*d**2 + d**2. Let c(i) = -5*i**2 + 2*i**2 + 0*i + 2*i**2 + 2*i. Suppose 15 = -5*v - 0. What is v*c(z) + 2*a(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.3 - 10.2. Which is smaller: -83 or u?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-652*f**2 - 304*f**2 + 8*f**2)*(0 + 0 - 1).\nAnswer: 948*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8354*p - 4181*p - p**3 - 4218*p.\nAnswer: -p**3 - 45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-165))\/1)\/(1677\/130 + -13)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*4\/(-5)*(-1660)\/(-24))\/(-4).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2299*r**2. Let m(w) = -85010 + 170021 - 85011 + 3*w. Give z(m(t)).\nAnswer: -20691*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/8 (b) 1\/2 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 1 (c) -0.4 (d) 11.0031 (e) -0.2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/686*7 + (-90)\/(-7). Let w(c) = c**3 - 9*c**2 - 15*c + 11. Is w(d) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Let q(o) = -5*o + 1. Let k(f) = -4*q(f) - 7*x(f). Let r be k(-4). Is (-4 - -138)\/(r - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 18374*p - 183851. Determine b(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23363 (base 7) to base 14\nAnswer: -22a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 91*a**3 + 14398*a**2 + 17427*a = 0.\nAnswer: -157, -111\/91, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31123 (base 5) to base 10.\nAnswer: -2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4222 (base 5) to base 4.\nAnswer: -20302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:05 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7314 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2205*u**3\/2 + 61782*u**2 + 11762*u\/5 + 112\/5 = 0. What is u?\nAnswer: -56, -2\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(42))\/(sqrt(6) + (sqrt(72)\/sqrt(4))\/sqrt(3))*-5)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let v(z) = 25*z**2 + 80*z. Determine v(a(j)).\nAnswer: 100*j**4 + 160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 175.87 and 0.\nAnswer: 175.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -104, -193, -328, -515, -760?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007705273 to seven dps.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(10\/7)*(j*(j*j\/j**(-5))\/j*j)\/j*j)**11*(j*j**(-2\/21)*j)\/(j\/(j**(-1\/11)*j))*j**4*j*(j*j**(-3))\/j assuming j is positive.\nAnswer: j**(27380\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -221012200201?\nAnswer: 221012200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -765*l**3 - l**2 - l + 9. Let a(f) = -255*f**3 + 3. Let w(q) = -7*a(q) + 2*x(q). Let n be w(-3). What is n rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.39 * -9.\nAnswer: -12.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 710\/107?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -10 - (-128 - -107).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5536, -5971, -6384, -6769, -7120?\n\"Answer: y**3 + 5*y**2 - 457*y - 5085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2195.772 weeks to seconds.\nAnswer: 1328002905.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 8. Let n(b) = 13*b - 3. Let i(p) = 4*p - 1. Let q(z) = 11*i(z) - 4*n(z). Let a(s) = -s. Give c*q(f) + 6*a(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + -616891.\nAnswer: -616972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4296 and 119751.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11051174 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 755.641066 rounded to 1 decimal place?\nAnswer: 755.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*y**5 + 12\/7*y**4 + 12\/7*y - 30\/7*y**2 + 24\/7 - 3\/7*y**3.\nAnswer: -3*(y - 2)**3*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401d1 (base 16) in base 9?\nAnswer: -440207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v + v**2 + 21 + 22 + 16 - 51. Determine f(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-3 - -4)) + (-1 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*n + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39217500 to the nearest integer?\nAnswer: 6262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7909874, -31639476, -71188820, -126557912, -197746758, -284755364, -387583736, -506231880?\n\"Answer: -c**3 - 7909865*c**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*i**2 - 79*h*i*x - h*x + 44*i**3*x - 15*i**3 - 3*i*x wrt i.\nAnswer: -2*h + 264*i*x - 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -33, 48, 5, -2 in increasing order.\nAnswer: -33, -4, -2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m + 496 + 96 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkmkkkkkmfkkmx. Give prob of picking 1 k and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -23*a**2 + 2. Let j(g) = 45*g**2 - 5. Let c(z) = -z**2 + 208*z - 1013. Let f be c(5). Calculate f*j(o) + 5*m(o).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207 + 977264163.\nAnswer: 977263956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**20)**(-1\/11) assuming t is positive.\nAnswer: t**(40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 117.9. Which is the fourth biggest value? (a) -3\/4 (b) 3 (c) -2\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -124?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + -2 + 3635346\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5149 - -1730059\/336. What is the common denominator of -11\/3 and q?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577061 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1645 + 1644.89. What is the second biggest value in 1.6, j, -2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/81? (a) -0.01 (b) -0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -94. Solve -s*p + 7*p - 26 = 3*o, -12 = -p + 4*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2 + 130*u - 171. Let r(b) = 8*b - 1. Let f(g) = -2*j(g) + 6*r(g). Find w, given that f(w) = 0.\nAnswer: -12, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/631916 and -47\/1088884?\nAnswer: 719752324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3289859*n**3 - 5667*n - 152 wrt n.\nAnswer: -19739154*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-50)\/(-16))\/(-25))\/(((-7)\/8)\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/2970 and 191\/100320?\nAnswer: 902880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4.7. What is the biggest value in r, -5, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 + 1. Let y be m(2). Suppose 3*d - y*d + 138 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2052201 - 2052204 + 6156602 - 2052197 + 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15822*n**3 - 6242710*n - 1 wrt n.\nAnswer: -94932*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f = 27*f - 108 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b**2 + 4*b. Let t(s) = -42*s**2. What is n(t(c))?\nAnswer: -35280*c**4 - 168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66299962 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4871, -19418, -43601, -77384, -120731, -173606?\n\"Answer: 6*b**3 - 4854*b**2 - 27*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 994899, 994871, 994843, 994815?\n\"Answer: -28*r + 994927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2 + 390. Let b(x) = -9*x. Determine b(h(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780772 and 4.\nAnswer: 780772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d - 6*d - 16*d)*(0 + 3 - 1) + 2*d + 2*d - 3*d)*(-1267*d**2 + 716*d**2 + 801*d**2).\nAnswer: -10750*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 35, -2, -1 in descending order.\nAnswer: 35, 5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 25*c = 216. Suppose 3*u + h + 2*h - 27 = 0, -3*h + 11 = -u. Suppose -2*x = -u*x + 24. Is x < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -6) + -8)*-1 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {x: 1, u: 2, k: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 5*l**2 - 5*l - 2. Let w be b(-4). Let j(g) = 2*g**w - 5*g + 5*g - g**2. Let i(m) = 2*m**2. Determine i(j(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 10922 and 12855 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6901 is divided by 99.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l - 2*l + 2*l + 2 + l**3. Let z be h(0). What is the second derivative of j**5 + 0*j**5 - z*j + 4*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 4*f - 20, 5*h - 3*f + 2 + 13 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/208)\/(((-98)\/(-16))\/7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 9 - 9)*(-6 + 59 + 153)*(-1 - 3 + 3).\nAnswer: -1030*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/10*(-10)\/(-1). Suppose z + z - l + 26 = 0, 55 = -5*z + h*l. Is 6 a factor of -12*(0 - (-10)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450606390 divided by 266631\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/80 - h**4\/4 - 7*h**3\/8 + 49*h**2\/4 + h - 133. Factor q(i).\nAnswer: -(i - 2)*(i + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2\/4 + 82089*l\/2 + 2136342 = 0.\nAnswer: -52, 54778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 6*f**4 + 18*f**3 + 24*f**2 - 15*f - 18 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116 - (4 + (-12)\/2). Suppose 2*a = q - 355, -3*q + u = -a - 57. Let s = 719\/4 + a. Calculate the common denominator of s and 55\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 v, and 1 e when four letters picked without replacement from vqsvsgqsqsegssssgs.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 66. Calculate the least common multiple of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-12*(-2)\/424) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1368?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1038952 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.8 - 11.7. Let l = -8.2 - -1.9. Let r = h + l. Which is the third smallest value? (a) r (b) 1 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = -27*r + 5745. What is the third derivative of 4*y - 141*y**4 - 962 + 20*y**2 + r - 953 wrt y?\nAnswer: -3384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kac when three letters picked without replacement from ncakbak?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81766 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-14))\/(1*(-3)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 + 6*a - 4. Let t = -10 + 14. Let r(o) = -7*o**2 + 3*o - 1. Let z(q) = -q**2 + 4*q - 2. Let b(s) = r(s) - 2*z(s). Calculate t*b(v) + 3*h(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 50 = 5. Solve 4*w = v*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7740899950578 + -0.4?\nAnswer: 1.3740899950578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253840275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 4, p: 3, n: 3, o: 5, h: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 1. Let l be -2 + (-1 - 0) + -1. Let t(z) = -z**2 - 11*z + 66. What is the remainder when t(-14) is divided by y(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 3*k**2 - 3*k**2)*(k**3 + 2*k**3 - k**3) - 8*k**2 + 8*k**2 + 4*k**5 + (-k**3 + k**3 - k**3)*(-k + k - k**2) - 2*k**5 + 2*k**5 + 2*k**5.\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 365357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -6.1. Let j = 10063\/110 + -459\/5. Let i = j - 1\/66. What is the nearest to 0.1 in h, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 12*n + 116. What is w(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 376*d - 5. Let l be t(6). Let v = -51 + 49. Is (v\/2)\/((-1)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*t + 241 = 0, 94 - 413 = -4*b + 3*t. Calculate the remainder when b is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -2*k + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/6)\/(1\/(-66)). Let o = w - 335\/2. Which is the third biggest value? (a) -1.8 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -16, -4 in descending order.\nAnswer: -4, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i**3 - 85*i**2 - 115*i + 72. Let n(y) = 3*y**3 + 28*y**2 + 38*y - 24. Let a(d) = 7*n(d) + 2*q(d). List the prime factors of a(-24).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3786630 is divided by 280.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2*-4)\/2. Suppose v + 5*d = 960 + 140, 3*v - 3342 = -d. Suppose -8*s = -u*s - v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180250100 or 180250101?\nAnswer: 180250100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1977956 and 258496?\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-6060)\/(-202)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5 = -17. What is the smallest value in -33\/2, 0.5, n, -3\/2?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from zuzzkkkk.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257573273 by 35989.\nAnswer: 7157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Suppose 12 = 56*q - 52*q. Let x be 3\/3 + q - (-6)\/(-3). Let d(w) = -w**2 + 41 - 21*w**x - 41. Determine d(s(n)).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 - (8 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (-186 + 164 - (-2 - 19))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b + 156 = 0. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:19 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -610997*o**4 - 1486990*o**2?\nAnswer: -14663928*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.016 (c) 2 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**9\/252 + d**8\/42 + 2*d**7\/35 + d**6\/15 + d**5\/30 + 2*d**3 + 1. Let v(u) be the third derivative of h(u). Factor v(c).\nAnswer: 4*c*(c + 1)**3*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2007 and 32282818.\nAnswer: 290545362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 - -448\/3. Which is the nearest to 1? (a) x (b) -0.1 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 11*p**2 - 16*p + 80. Let q be o(12). Let l(y) = y**2 - 30. Let u be l(0). Let a = q + u. Solve 4 = t - c, -4*t + a*c = -5 - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, 20, 6, 0, 4, -3.\nAnswer: -262, -3, 0, 4, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**5 + 7*t**4 - 6*t**3 + 2*t**2 + 11*t + 3. Let c(u) = -2*u**5 - 6*u**4 + 5*u**3 - u**2 - 9*u - 2. Let v(h) = -4*c(h) - 3*z(h). Factor v(o).\nAnswer: -(o - 1)**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -36. Suppose -3*z = -z - a. What is the lowest common multiple of z and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 + 94437 - 47230 - 47225.\nAnswer: 25*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22961 * -58.\nAnswer: 1331738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + 12. Let u be (-3)\/w + 15\/(-4). Let o = u - -13. Calculate the highest common factor of 81 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**8\/1176 + t**7\/735 + t**6\/420 - t**5\/210 - 13*t**2. Factor y(q).\nAnswer: -2*q**2*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ba (base 12) in base 10?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*3*(-3)\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 36 = -3*x, -5*x = x + l - 67. Calculate the greatest common factor of 16302 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4554\/36)\/((-1)\/(-8)). Suppose 3*u = 1397 + a. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(65)\/sqrt(5)*6)**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 15.1. Let o = -5 - -1. Let p = o - -2. Is p at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, n: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 7*d - 5. Let v be k(-6). Let h be (-1 - 6)*(v + -2). Solve 2*a - h*a = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10917556 and -107\/10077744.\nAnswer: 131010672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:28 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 2*l, -5*l - 3*w + 0*w + 1 = 0. What are the prime factors of l + (-4)\/(-6)*-3 - -49?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:32 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -315*s**4\/4 - 1250*s**3\/3 - 610*s**2 + 40*s - 340. Let j(v) = 0. What is v?\nAnswer: -2, 2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 853, 39, -11 in increasing order.\nAnswer: -11, -7, -3, 39, 853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -100, -9?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 11*d**2 - 162*d + 129. Differentiate k(r) wrt r.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -22*q - 30. Let z be v(-5). Let w be (-1 - 3)*(-6)\/z. Factor -1\/5*p**4 + 2\/5*p + 2\/5*p**2 + 0 + 1\/10*p**5 - w*p**3.\nAnswer: p*(p - 2)**2*(p + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-4 + -1)) + 19. Let v be (11\/u)\/(1\/4). Which is the second smallest value? (a) v (b) 1\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 101, 155, 211?\n\"Answer: v**2 + 49*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -106 - -9?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -0.7. Let x = t + -1. Let q = -1.994 + x. What is q rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4\/3 (c) -1059372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19257 != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14395173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2044 and -47\/4?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/13*2912\/(-4032).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8208 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 2. Let q(y) = -10*y + 5. Let k(i) = -9*i + 4. Let h(b) = -2*k(b) + 3*q(b). What is the remainder when h(t) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -2. Let x be ((-2)\/(-5))\/(a\/10). Put 3, -4, x in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-126 - -117) + (15 - 3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 22*l**2 - 8*l + 6*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 17 = q - 5, 0 = 5*q - n - 24. Solve -q*x - 2 = 2, x - 9 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-43)\/14 + (-5)\/(-10)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 - 4. Let a be t(-6). Let n = a - -10. Solve 2*d = 4*d - n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 74849*t - 74871*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829538.8cm to meters.\nAnswer: 8295.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1213, -17, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -4, -1\/12, -3, 2\/1207?\nAnswer: 2\/1207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3664, -7322, -11000, -14710, -18464?\nAnswer: -22274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 127*f - 13706. Let i be u(108). Solve l = 11*a - i*a - 3, 0 = -3*a - l - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -289, -280, -269, -256, -241?\n\"Answer: p**2 + 6*p - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1*(-15129)\/12)\/(0 + (-6)\/24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*h - 3 = -0*h, -13 = -i - 3*h. Suppose 0 = -2*b - 2*p + 8, b - i*p = 22 + 2. Let s = b + 3. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0251 + 0.0849. Is k != 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/2 + (-9 - -10))*-880 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let y(v) = v**2 + 9*v + 11. Let d be y(-8). Suppose -12 = -4*m - h, -d*m + 0*m - 6 = -3*h. Let c(p) = -14 + 14 + 2*p**m. Calculate c(w(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 - ((-8 - -49) + -34).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*v + 1, -3*u = -65*v + 61*v - 33. Sort 1, v, 134 in descending order.\nAnswer: 134, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1673015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 4*m**2 - 135 - 55*m**2 + 18 + 54 + 17*m.\nAnswer: -51*m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 68.79?\nAnswer: -1444.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 51699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgmmmxgxmmmmggxxm. What is prob of picking 1 m and 1 g?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = -1625. Let p = 44\/137 - -8387\/2466. Find the common denominator of (-6)\/15 - (-1828)\/k and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/7 in -2, -1\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 - 31*x**2 + 16*x + 9. Let n(s) = -s**3 + 6*s**2 - 3*s - 2. Let a(t) = -2*b(t) - 11*n(t). Let j(v) = -v - 6. Let l be j(-9). What is a(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 561816 and 4681800.\nAnswer: 14045400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978419?\nAnswer: 3, 659473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by -4634.\nAnswer: 65\/2317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -3*z**3\/2 - z**2\/2 - z + 2. Let g(w) = w**2. What is y(g(c))?\nAnswer: -9*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (1 + -2*(sqrt(1300)*2*3 + sqrt(1300)))**2 + 4.\nAnswer: -280*sqrt(13) + 254806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 - 5*r + 6. Let a be g(-5). Let s be a\/(-33) - (-10)\/55. Suppose 0*i - 2*i + 68 = s. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j + 33*j + 0*j + 0*j + 5*j - 15*j.\nAnswer: 76*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7664 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 276 = 256. Suppose 2*l = o - i, -2*o + 0*l = -l - 44. Solve -4*r = 3*z, -15 = 5*r - 5*z + o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 5*z**2 - 32*z - 46. Give y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - (2 + -7) - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 438, 385, 288, 141, -62, -327, -660, -1067?\n\"Answer: -v**3 - 16*v**2 + 2*v + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228773008 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -181.7 and 0.018943.\nAnswer: -181.681057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*b = -3*d - 10, 5*b + 2*d + 13 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j\/(j*j**(2\/5))))\/j)\/(j\/j**(-10))*j\/j**6*j\/j**(4\/3) assuming j is positive.\nAnswer: j**(-224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6235 and -1.\nAnswer: 6235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*w - z = 533, 4*w = 3*w + 4*z - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**3 - 14*k**2 + 3*k + 46. Let z(q) = 4*q**3 - 10*q**2 + 3*q + 31. Give -5*h(c) + 7*z(c).\nAnswer: -2*c**3 + 6*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 326 (b) 5\/4 (c) -1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 7*y + 67. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:25 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-5\/6))\/x)\/x*x)**12 assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -13*y**4\/12 + 3*y**3\/2 + 64*y. Let k(t) = 3*t**2 - 2*t. Calculate -4*d(v) - 18*k(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28495000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i - 29*i + 7*i + 1)*(-25*i + 9*i + 7*i) as b*i**2 + g + j*i and give b.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17722*v + 2*u + 0*u - 7 - 40 = 17717*v, 22*u + 77 = -v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/12 - 301*z. Let m(a) be the first derivative of 11*a**3\/3 - 3. Calculate u(m(x)).\nAnswer: -121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7978, -7977, -7976?\nAnswer: -7975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (3 - 1 - 1)*(2 + 0 - 3)*(0 - 1 - 1))*(-27*u**4 + 6*u**4 - 13*u**4).\nAnswer: -102*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**7\/42 + g**6\/12 - g**5\/4 - 2903*g**2. Solve s(n) = 0 for n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 2\/29 (c) -5 (d) 0.2 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1810*w + 15922 + 7775 = -25194 + 9071 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18731, -19559, -20387, -21215, -22043?\n\"Answer: -828*x - 17903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + -4 + -1 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95, 108, 121, 134?\n\"Answer: 13*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 161.1 and -173067146865?\nAnswer: 173067147026.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -46. Suppose -q*p - 2 = 0, -3*l = 4*p - 0*p + 1. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uururutrtuuuurut. Give prob of sequence tr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y - 3. Let p be j(-3). Find the third derivative of 4*d**2 - 6*d + 3*d**4 + 3*d + p*d wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 407259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.3 - 2.3. Let i = l - 26. Let b = -21 - i. Put 0.2, 0, b in decreasing order.\nAnswer: b, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10550 + 10649. What is the remainder when 188 is divided by q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3 + 53*c**2 - 26*c**2 + 5*c - 24*c**2. Let b(s) = -3*s**2 - 6*s + 4. What is 4*b(l) + 5*g(l)?\nAnswer: 3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -4 - (-7 - -7 - -13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -2621 in increasing order.\nAnswer: -2621, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 653 + -648 + -3*1. Solve -3*x = 115*h - 110*h + 3, 2*x = -h - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/2 in -1, -1\/27, -0.9, 0.2, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/44)\/(-13)*-16*(-44)\/(-40).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 773, 1681, 3183, 5273, 7945, 11193?\n\"Answer: -y**3 + 303*y**2 + 6*y + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0 - 140\/(-20). Solve -x = -j*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7478 + -0.9478. Suppose 2*g - 10 = 3*g. Let z be g\/42 - 2\/(-3). What is the third smallest value in y, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (81\/(-36))\/((-3)\/(-40)). Let v = 38 + g. Suppose -7*y + v*y = 4. Solve -5*d - y + 7 = -3*l, 4*l + 4 = d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, -2, -877, 2, -4 in decreasing order.\nAnswer: 18, 2, -2, -4, -5, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -40. What is the units digit of (2\/6)\/(3\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214070\/(-3)*(13 + (-174)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 1466\/3, -4 in descending order.\nAnswer: 1466\/3, 0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 6:49 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/5249 - 3684838\/26245. Let j = o - -140. Suppose -w - w - 5*s = 1, -3*w - s = 8. Which is the closest to j? (a) 2\/19 (b) w (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564590468 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (45552\/33215 + (-12)\/10)\/(3\/100).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.92 + 2.08. Put i, -17, 2 in descending order.\nAnswer: i, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5711200 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 40438*q\/7 + 80868\/7.\nAnswer: 2*(q - 20217)*(q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 483.11 - -0.89. Let v = 507 - j. Which is the third biggest value? (a) v (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*m - 108. Calculate the remainder when 45 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -624923, 10, -0.6 in descending order.\nAnswer: 10, -0.6, -624923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3393 divided by -7\nAnswer: -3393\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 30\/11*d**2 - 31 + 62\/33*d**3 - 2\/11*d. Factor z(j).\nAnswer: 2*(j + 1)*(31*j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + j + 41 = 0, -4*j + 20 + 14 = -3*o. Let w = 486\/23 - 458\/161. Let z = o + w. What is the biggest value in 3, -0.1, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23206*n + 3*n**2 + 23206*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*g - 8887 = 0, -4*i = -2*i - 2*g - 5928. Let n = i + -1141. Suppose h - 28178 = n. What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/15*w**6 - 3*w + 0 - 3\/10*w**5 + 4\/3*w**3 + 0*w**2 + 0*w**4. Factor o(t).\nAnswer: -2*t*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18674 (base 13) to base 7\nAnswer: 254513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 + 9*s - 3. Give o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 2a54?\nAnswer: -2a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2067558 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8*b + 7*b + 242058 = 0, 0 = -2*j + 2*b + 484112. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 2*j - 68, 3*j = -3. Let o = 78 + -44. Let n = o + s. 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: Solve r = 3*n - 16, -18*n = -24*n - 5*r + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22612 is divided by 480?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121279684698.684 take away 7?\nAnswer: -121279684705.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Calculate (84\/(-200))\/((-5852)\/(-1672)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 2*x**2 + 8*x + 13. Determine a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*r = -296*r + 324862. Calculate the lowest common multiple of r and 266.\nAnswer: 27398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 + 63*o**4 - 851*o**3 + 5852279*o**2.\nAnswer: 120*o**3 + 1512*o - 5106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 16 + 4 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71232820499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(-3) - 275\/(-110).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/74 and (-9)\/6 - (-19522)\/7568.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 10419534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 35*w - 37*w + 25*w. Let j(l) = -12*l - 2. Let u(h) = 11*h + 2. Determine w*j(k) - 6*u(k).\nAnswer: -6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*x + 4596778 = -1409222. Is 105 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 + v - 2. Is j(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6411 + 110*x + 17*x - 128*x to q + h*x and give q.\nAnswer: -6411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 117\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130515393*w**6 - 556507*w**2 - 220*w wrt w.\nAnswer: 15661847160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -213*n - 24. Let o be l(11). Let w = 161015\/68 + o. What is the common denominator of w and 35\/22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 - -0.19896996?\nAnswer: -0.18103004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 104650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvoaolo. Give prob of sequence vot.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**6\/30 + t**5\/20 + 3*t**2\/2 - t. Let r(f) be the first derivative of d(f). What is the third derivative of r(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, v: 2, e: 1, q: 2}. Give prob of sequence qqe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 26*k**2 + 25*k + 8. Let u be d(25). Suppose -18 = u*v - 138. Let y = -18 + 75. Calculate the remainder when y is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 16 = 0. Solve 2*u + 3*q - 7 = 0, -2*q = -u - 3*q + c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680747 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*-36\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let z be -4 + (5 - 4) + 5. Let v(s) = 60*s**2 - 6. Let n(w) = z*r(w) - v(w). Find the first derivative of n(i) wrt i.\nAnswer: -116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:07 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/7 - 7968*w\/7 + 5290752\/7 = 0. Calculate w.\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1193*x**3 + 2391*x**2 + x wrt x.\nAnswer: -7158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + c**3 + 16131 - 16154 - 79*c - 3*c**3.\nAnswer: -c**3 - 79*c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45751 - 4117439\/90. What is the common denominator of q and -131\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2347949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34621, 34610, 34597, 34582, 34565, 34546, 34525?\n\"Answer: -x**2 - 8*x + 34630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j - 23*j + 6 + 56*j. Let p(h) = 39*h - 11. Let c(w) = 19*w - 7. Let m(d) = 11*c(d) - 6*p(d). Determine 6*m(l) + 11*s(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/(1\/93). Suppose 0 = 4*i - 6*i - 5*k - 3, i = 4*k + r. Let z = -16 + 38. What is the highest common factor of i and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 130. What is the remainder when ((40\/2)\/(9\/18))\/((-6)\/(-15)) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(1\/80)\/(j**(-7)*j*j**(-4\/7)*j)*(j\/(j\/j**1))**(-2\/29)\/((j*j\/j**3*j)\/((j*j*j**(-6)*j)\/j)) assuming j is positive.\nAnswer: j**(48597\/32480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:16 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d - 15. Let h be n(-10). Suppose 65 = -3*v - l, -67 = 2*v + l - 22. Let c = h + v. Solve c = -3*a + 2*j, -a + 5*j - 5 = -0*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 - -30?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 3*s + 2. What is the remainder when 85 is divided by n(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -35*i**3 - 6*i**2 + 22*i - 73. Let k(m) = 19*m**3 + 4*m**2 - 12*m + 37. Let z(w) = 6*g(w) + 11*k(w). Determine z(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -31.884153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s + (0 + 1 - 3)*(3*s + 0*s - 2*s) + 4*s - 7*s + s + 0*s - 3*s + s - 85*s + 122*s + 93*s)*(-3*s**4 - 3*s + 3*s).\nAnswer: -375*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -453*p**2 - 11321*p + 112. Determine v(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:12 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -24. Is 25 a factor of (d - (-500)\/5)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*(l**2 + 0*l**2 - 3*l**2) - 3*l**3 + l**2 - l**2 + (4 - l**2 - 4)*(-5*l + 0*l + 3*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*p**3 + 49*p**3 - 31*p**3.\nAnswer: -39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 146*h - 143*h + 1, 0 = -5*l + 4*h + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:53 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 509 + -232?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*n + 81*n**4 - 29*n + 1497*n**2 - 1496*n**2 to the form p*n**3 + k*n**4 + w*n**2 + o*n + u and give k.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**2 + 2*c - 2. Let q(z) = z - 6. Let o(g) = g - 5. Let w(h) = 5*o(h) - 4*q(h). Give a(m) - 2*w(m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k)**(-49) assuming k is positive.\nAnswer: k**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 606? (a) -1 (b) 2 (c) -3 (d) -0.2 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 31*l**2 - 4453*l + 4453*l - 56.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14341 by -24.\nAnswer: -14341\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 59520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.581, 5, 0?\nAnswer: -1.581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3 (b) -3\/4 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let h be 8 + -6 + 0 + f. Suppose -2*j + 2 = 5*t, 0 = -h*t - t. Do j and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 55 (b) 1 (c) 1\/6 (d) -0.03 (e) 2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/((-50)\/75)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9289452, -18578904, -27868356, -37157808, -46447260, -55736712?\nAnswer: -65026164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.958528mg?\nAnswer: 0.004958528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/4))**5 assuming g is positive.\nAnswer: g**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -79*-35535\nAnswer: 2807265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/5, 468, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**3 - t. Calculate q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l - 2. Find the third derivative of -4*m**4 + 2*m**2 + m**l - m**2 wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 18*y**2 - 18. Let q be r(-18). Let w(s) = s + 22. Let g be w(q). Suppose 0 = g*x - 9*x. Solve 28 = -2*a - 0*a - 5*d, x = d + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 39 = 29*t, 5*t - 26*c = -29*c + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 11136 + 7324. Let l = u + -620. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 22*w**2 - 43*w + 62. Let i be x(19). What is the greatest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 326*n**2 + 3*n. What is the hundreds digit of c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*h - 147*h - 281 + 107 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 23*z**3 - 24*z**2 + 101*z - 43. What is c(4)?\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)\/(-1)*1. Calculate the common denominator of 0\/f + (-74)\/28 and 21\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-621)\/276*14*(-690)\/(-315)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164198*u**3*x**2 - 74*u**3 + 164*u - 5*x**4 - 22 wrt x?\nAnswer: 328396*u**3*x - 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 167 + 23 = 80*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 281977?\nAnswer: 281978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-7))\/((-72)\/252)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.2735 - 29.2. Let w = i + -0.1115. Round w to two decimal places.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25563619166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 639, 5450, 18505, 43926, 85835, 148354, 235605?\n\"Answer: 687*o**3 + 2*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5406 + q**2 - 4*q**2 + q**2.\nAnswer: -2*q**2 + 5406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 103 = -5*p + 240, -5*t - 415 = -5*p. Solve 11*o + p = 75 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 - k + 6. Let z be q(3). Suppose -10 = -2*t - 0. Suppose 2*i - z*v = 2*v + 134, 0 = -t*v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(80))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 3*c - 4*c + (2 + 4 - 4)*(1 + c - 1) - 3*c - c + 5*c - 9 - c + 9 + 0*c - 2*c + 3*c + (0 - 1 + 3)*(3 - 2*c - 3) - 10*c - 7*c + 4*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*q - 10 = 423*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxujuxujyxujujyuuj. What is prob of sequence uyxy?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/396 and 97\/105.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (5 - (3 - -3))) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10*q = 0. Let w = 2 + q. Is w at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*j + 563*j + j**3 - 277*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 61, 62, 51, 22, -31, -114, -233?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let z be w(2). Let y(a) = a + 34*a**2 - 35*a**z - a. Let t(x) = 8*x. What is y(t(r))?\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - 73*a**2 - 281*a + 31. Calculate r(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixvvivivvvxx. Give prob of sequence viix.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from boooooooooooooo?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8346 and -0.02.\nAnswer: 0.036692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -103480000 to the nearest 1000000.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-99)\/(-12) - 8) + (-23)\/(-4). Let u be -3*5\/45*i\/(-74). Is 0 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6056601*d. Let t(y) = -4585*y. Let g(f) = -6606*t(f) + 5*v(f). Let o(m) = m**2. Determine g(o(a)).\nAnswer: 5505*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2. Let o(u) = -71*u**2. Give y(o(w)).\nAnswer: 15123*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.658929 millennia in years?\nAnswer: 3658.929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -4*o**2 + 0*o + 0 + 1\/2*o**3 - 1\/4*o**4. Let t be 2\/6 + 56\/35 + (-3)\/(-45). What is r(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(1872) + sqrt(26)\/(2*sqrt(2))) - (-4 + sqrt(104)\/sqrt(2) + 5))**2*-5*3.\nAnswer: -3767610 + 4170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus -8936236?\nAnswer: 8936214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 1:09 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 8. Let o be k(5). What is the first derivative of -1 - 10*t**3 + t**o + 5 - 11 wrt t?\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-270)*(-5)\/((-180)\/27)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (396\/(-84) - -5)\/(-16). Which is bigger: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 + 243. Calculate the greatest common divisor of 32 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -35. Let d = 21\/22 - -2491\/110. Let r = d + -24. Which is the closest to r? (a) s (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462379 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - 1) - (52 - 60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v + 26 = 0. Suppose -4 + 1 = -b. Solve -b*h = -v + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-6 - -6) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -27 + (-15 - -2) + -32.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2 - 5*h + 1. Let x be s(5). Is (x + (-4 - -1))*-1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 9 + 5 + 4 to the form f + j*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 8) to base 11\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -67 + 19 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4176 - -350. Suppose 0 = 2*y - 2, -16475 = h - y + k. What is h rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*p + 180*p - g = -914, 9*g + 19 + 68 = -p for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 498 + -567. Let d = b + 71. Let c be 0 - 1 - -10 - -1. Solve -d*x - 4*o - c = x, 2*o = 5*x - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -2) + (0 - (-2 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10*1\/(-6))\/(10\/12*(-114)\/(-285))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*c = 82, 2*v - 38 = -0*c - c. Suppose -v = -p - 2*p. What is the third derivative of -6*z**2 + z**6 + 6*z**6 - 5*z**p wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11000010000100?\nAnswer: 11000010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(320) - (sqrt(320) + -1 + sqrt(320) + sqrt(320))) + -3 - sqrt(320) - sqrt(80)*-2*-1)**2.\nAnswer: 128*sqrt(5) + 5123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/52 + 24 - 40?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*l - 10, -18*t = -19*t - 2*l - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 75, 1\/6, -35, -66, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ccxxcccxxccccx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3657 from -0.2.\nAnswer: -3657.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**6\/60 + d**5\/20 - d**4\/24 + 10*d. Find k, given that i(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 147 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 4. Let k(o) = o**3 + 12*o**2 + 9*o - 26. Let m be k(-11). Let i be l(m). Suppose -3*r - 5 = 2*q - 24, i = -2*r - 4*q + 2. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(6916\/(-304)))\/(12\/78 - 0\/(-2))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12714 + 444991\/35. Which is the third biggest value? (a) -1.1 (b) 0.1 (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrrhhrrkkllplqrhlhh. What is prob of sequence rk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = 4*l, 5*a = l + 24 + 1. Let d be 8\/(-28) + (-116)\/(-14). Let u = -12 + d. Put l, u, 0.5 in decreasing order.\nAnswer: 0.5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((330\/(-506))\/(425\/(-255))).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 - 2 = -5*i, 5*i = 2*q + 4. Let v = 17 - -6. Suppose -4*k = -q*k - v. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 31*x**2 - x - 1. Let u be 9\/3 + -1 + -6. Let b = 3 + u. Is q(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*u - 3042 = -3634 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2883 or -2885?\nAnswer: -2883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - d. Let s(z) = -4*z - 3. Let g be s(9). Let i be 1\/4 - g\/(-12). What is the remainder when r(i) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664652496?\nAnswer: 2, 3, 191, 72497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q**5 + 185168*q**4 - 714933340*q**3 + 4759414488*q**2 - 5471077888*q - 2378997760 = 0 for q.\nAnswer: -1\/3, 2, 5, 7712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(60)\/sqrt(5))\/sqrt(1176) - (4 + sqrt(162)*1*4 + (sqrt(162) + 0)*5))**2.\nAnswer: 4524*sqrt(2)\/7 + 1280729\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/14*14\/7)\/((-48)\/((-16)\/(-4))).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 5. Let z be (-4)\/(-5)*2*(-30)\/v. Let x be 10\/z*-6*(-4)\/12. Which is bigger: -9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 16. Let t be g(-15). Let a(m) = -m**3 + m + 1. Let z(b) = -2*b**3 - b**2 + 1. Give t*z(u) - a(u).\nAnswer: -u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -651435 and -1532.\nAnswer: -652967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 221637173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2581905, 2581904, 2581903, 2581902?\nAnswer: 2581901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581492504?\nAnswer: 2, 41, 61, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.05 * -0.14.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101003055*w**3 - 132270557*w?\nAnswer: -606018330*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i**2 - 27*i - 53. Let r(a) = 3*a**2 + 2*a**2 + 9*a + a**2 - 3*a**2 + 18. Let u(b) = -17*r(b) - 6*z(b). Solve u(p) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105942 divided by -52971\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 18?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) 286 (c) -1\/3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2*a**5\/35 + 11*a**4\/14 - 26*a**3\/7 + 41*a**2\/7 - 4*a + 154. Let n(q) = 0. What is q?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 34*h + 3*v - 135878 = 0, v = 2*h - 54360. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201110201112 + -212?\nAnswer: 11201110200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1? (a) 1\/3 (b) -9 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2 - 8. Suppose t = -o + 35. Suppose -89*f + 40*f + 3762 = 65*f. Calculate the highest common divisor of o and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from ggfgggfggggfgggfgg.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595191 to the power of 1\/2, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 900 and 86759028.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4889, 4889, 4899, 4925, 4973?\nAnswer: 5049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 = -2*m, t - 5*t = -3*m + 19. Put -3, t, 4, 0 in decreasing order.\nAnswer: 4, 0, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 9058*a - 4412*a - 4476*a - 30*a**3 - 149*a**3 wrt a?\nAnswer: -1074*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*z - 1 = -3*z, -6 = -4*p + 2*z. Suppose 0 = 358*o - 354*o + 16. Suppose 4*v + 4*n = -4, 5*v - 35 = n + 4*n. Put v, p, o in decreasing order.\nAnswer: v, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by (198\/132)\/(6\/664).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-2)\/(-1)))\/((-3)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 82*q**3\/9 - 3326*q**2 - 50080*q\/3 + 7400\/9 = 0?\nAnswer: -5, 2\/41, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 197659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 12. Calculate the remainder when 10 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {t: 2, w: 4, x: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82963383\/32 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5898*t**3 - 20*t**2 - 5113*t**3 + 5763*t**3 + 3 - t + 280*t**2 wrt t.\nAnswer: 39288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008 = 177*t - 753 + 168 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146775405 by -29355081.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v + 32*v + 5*x = 23*v + 530, -54 = 2*v - 3*x for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 + 12)\/(1 - 0). Suppose l = 2*x + 3*t - 9 - 4, -5*t = -x - 26. Sort x, 0, -3 in descending order.\nAnswer: 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**3 + 1553 - 1553 - 389*j**3.\nAnswer: -356*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 53918 + 1663 = -5*w, -n - 3*w = -8720. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:35 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**2 + 1 - 1 - d. Let a(m) = -2*m + 11. Let y(u) = -5*u + 34. Let r(k) = 8*a(k) - 3*y(k). Calculate -14*q(l) + 2*r(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2)*36\/(-27))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -666587 by 1921.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 292?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/224)\/(3\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 3*h + 8. Let k be a(-6). Suppose -4*t = -3*w + 111, -200 = -5*w + 3*t - k. Calculate the common denominator of 137\/18 and w\/(-12)*(-21)\/(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*w = -41*w + 304. Let a(p) = -p**2 + p. Let c be a(1). Let j be 1 + c + (0 - -3). Solve j = w*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0692118t?\nAnswer: 69.2118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 11 = -4*d. What is the lowest common multiple of 22 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than or equal to -119\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 794 and 9.65288.\nAnswer: 803.65288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y\/(y\/(((y\/(y\/(y*y**(3\/11)*y*y)))\/y)\/y))))\/y))\/y**(-8\/7)*(y\/y**(-1\/2))**(12\/13) assuming y is positive.\nAnswer: y**(4805\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-12 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 25 = -5*n, 2*w - 3*n = -n + 10. Let d be ((-2)\/4)\/(5\/130). Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -71.9. Let s = -1 + 14. Let f = z + s. What is the closest to f in -1\/2, 0.5, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3 - 3)*(4*b - b - b)*(1 + 0 + 0)*(-6 + 5 + 4).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56846664?\nAnswer: 2, 3, 7, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/374872 and 47\/648.\nAnswer: 30364632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 545 = 5*f, 2*l = 3*l + 2*f + 118. Let a = -114 - l. Let m(g) = g**3 + g**2 - g - 2. Let x be m(-2). Sort x, a, 2, -3 in ascending order.\nAnswer: x, -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16605.49 - 16604. What is the nearest to 0.8 in h, -0.3, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359079 = 3*o - 12507. Suppose 0 = 5*r + 3*t + 407626, 0 = 5*r + 4*t - 144789 + 552417. Let m = o - r. Round m to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4580906 and -99\/12076934?\nAnswer: 132846274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138\/10 + (-1)\/(-5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 3) to base 14\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 157) + 6 + -3 + 1. Let i = -1090\/7 - h. Determine v, given that -i*v - 1\/7*v**2 - 1\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182069*-0.2\nAnswer: -36413.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593587 + 3793*n - 3759*n + 593594.\nAnswer: 34*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2265*n - 1594*n + 67200 = 2911*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 319, 320, 321?\n\"Answer: b + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5, 0 = -5*m - 2*v + 3*v + 10. Let p = 6 + m. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14174608973 - -1.06.\nAnswer: -14174608971.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1860 and 5.\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 4, f: 3, n: 2}. Give prob of sequence fnd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2\/9 (c) -2\/813 (d) -27 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 3*q - 1.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1740.847 to the nearest ten.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 248*k - 248*k - 23*k**4 + (-k**3 + 4*k**3 - 4*k**3)*(5*k - 3*k - k) - 4*k**4 + 3*k**4 - k**4 + (-1 + k**3 + 1)*(-2*k + 5*k + k).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1855*k**2*u + 103*k**2 - 2*k + 2*u + 6 wrt u.\nAnswer: -1855*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a*n**2*w**3 + 137073*a*n**2 + a*n*w**2 + a*q + 20*a*w**2 - 6*a - 7*n**2*q*w - 5363*q*w**3 wrt n?\nAnswer: -14*a*w**3 + 274146*a - 14*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3708 + 3708 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*i + 4*i**2 + 13*i + 209*i - 6*i**2.\nAnswer: -2*i**2 - 61*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t - 51*t + 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 154553*i. Let j(d) = 3*d. Determine j(w(v)).\nAnswer: 463659*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*m - 2*i, i + 29 - 176 = -3*m. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13689944 by -8.\nAnswer: 1711243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -72*x + 1969. Let k be g(27). Solve 5*v - k = -0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2. Let o(d) = -127*d + 2. Give o(a(q)).\nAnswer: 381*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.188955 centuries to years.\nAnswer: 18.8955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f**2 + 2*f + 21. Let v be g(9). Suppose -5*q + v = -995. Suppose 3*o = -4*w + 263, 7*o - q = 2*o + 4*w. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1054702?\nAnswer: -2109404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 16.76.\nAnswer: 15.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d - 3*d + 12*d + 5 + 2*d. Let o be n(3). Let h(p) = -7*p - 2. Let t be h(-4). What is the greatest common factor of o and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 108 = 37*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + -5 - -5 - 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 48*i + 90. Let l be 18\/(-12) - (-28)\/8. Let r(t) = -7*t - 13. Let j(q) = l*p(q) + 15*r(q). Differentiate j(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013435991 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from bwtkbbtktbbb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.7, -6.6 in ascending order.\nAnswer: -6.6, -0.7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14137, 56615, 127409, 226513, 353921, 509627, 693625, 905909?\n\"Answer: -y**3 + 14164*y**2 - 7*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3240) - (sqrt(3240) - sqrt(3240)*2 - sqrt(3240)))*2 - sqrt(3240))\/(sqrt(512)*1 + sqrt(72)\/(sqrt(9)*-2)) + 3.\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*v = -45, 0 = -j + 4*v - 42871 + 42877 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*l + 5 - 47, 0 = -o + 3*l - 32. Let w = 31 + o. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 57*f - 647. Determine z(38).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*2\/(-6)*(-15)\/2. Let z = -36 - -41. Calculate the greatest common factor of z and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/21 + -974\/105. Let b = -403170807\/192431260 + -6\/310373. Let j = b + -3\/620. What is the common denominator of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 580984*r. Let k(z) = 7*z**2 + 3*z. Calculate b(k(q)).\nAnswer: 4066888*q**2 + 1742952*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/(3*(-1)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-11\/3)*f**(-2\/13)*f**(-3))\/((f*f**(1\/2))**(-1\/19))**(-1\/2) assuming f is positive.\nAnswer: f**(-20333\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-38)\/(-152) - 15\/4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let p = -22215 + 22214. Which is the closest to j? (a) -2\/13 (b) -2 (c) p (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066169177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 375434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 + 0.4?\nAnswer: 1606.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 11*a + 2. Let k be l(-11). Let j(h) = -h**3 + 2*h - 5*h + k*h + h**2. Let u(f) = 6*f**3 - 4*f**2 + 4*f. Give -4*j(v) - u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2 - (9 + -4)). Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.0794411 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 2. Let w(c) = -c**3 - 4*c**2 - 3*c - 9. Let d be w(-4). Let x be k(d). Let f(q) = 5*q**2 + 1. Determine f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**5*r + 2*j**3*r**3 + 16*j**2*r**3 + r**3 wrt j.\nAnswer: 420*j**2*r + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9387 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {j: 6, w: 5, f: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 22 = -232. Let k(b) = -b**2 + 14*b + 10. Let s be k(14). What is the highest common factor of z and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((8 - 3) + -12 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccqxcxqcc?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84889 - 127111. What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 - 2822274*y**3 + 885028436820*y**2 - 92512317493339950*y + 277528987300289625 = 0. What is y?\nAnswer: 3, 313585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 187861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*23\/(-736)*-4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 + (3 - 1) - 19) - -8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.02691253?\nAnswer: 0.13456265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*n**4 + 3*n**2 - 39*n + 8914 wrt n.\nAnswer: 20*n**3 + 6*n - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-945))\/((7\/(-10))\/7)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h. Let f(b) = 90875839*b. Determine g(f(r)).\nAnswer: -181751678*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7 - 16 + 35 + 5*a - 5. Let m(d) = -d - 1. Give j(r) + 6*m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64764358?\nAnswer: 2, 79, 409901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/9)\/(5\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from hhhvvvvvhvvh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 29. 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 293 minutes before 5:17 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 52065627.813.\nAnswer: 52065627.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.700564747 times -1?\nAnswer: -0.700564747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143385 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.072 + -1.04\nAnswer: -2.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 683876 = 3*n, 53*u - 49*u - 28 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*x**2 + 1808*x**2 + 802*x**2.\nAnswer: 3366*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = -3*a, 2*j + 0*j = 2*a + 16. Suppose -u - 1 = -0*u, i + 5*u = -j. Let t be -3 + i\/(5\/5). Let y(v) = v**3 + 7*v**2 + v + 5. Give y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 + 4. Let m be w(0). Suppose 0 = m*p - 2*p - 70. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**3\/4 + 2735425*l**2\/4 + 374126128815*l\/4 - 374128864245\/4 = 0.\nAnswer: -273543, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 75. Suppose -k = -5*i + 14. Let w be (-16)\/(-72) - (-16)\/i. Solve 0 = -w*b + 3*s - 23, -3*s + 6*s - 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:58 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -57*z**3 - z**2 - z. Let w be r(-1). Let i = 87 - w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 50*t**2 - 1. Let q be i(-1). Let l = -15 + q. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-2\/7))\/k)\/k)\/k**(-6\/17) assuming k is positive.\nAnswer: k**(8\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from aitcctlcccibcit.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 176 = -540. Is (-28)\/140 + y\/(-5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k**2 - 9*k - 14. Let v(z) = -4*z**2 - 3*z - 5. Give -17*v(p) + 6*y(p).\nAnswer: 2*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.7 - 99. What is the smallest value in -3\/2, 7, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4692 take away 11764.18649?\nAnswer: -7072.18649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*o + 3*p + 35, 4*o - 3*p = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 974937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -86 - (19 + -15 + -3).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5, -5 in increasing order.\nAnswer: -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.89 - 0.39. Let t = -17.1 - -17. Which is the nearest to 0.03? (a) t (b) -2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 1, e: 2, s: 4, w: 3}. Give prob of picking 1 m, 1 w, and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 26*y**2 - 99*y - 843. Let c be w(-26). Which is smaller: 1727 or c?\nAnswer: 1727","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2*(61 + -83) + -1. What is the second biggest value in -3, 1.2, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004724 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - (-28)\/24*4. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**18*m**6)\/(m**(1\/12)*m**6\/m) assuming m is positive.\nAnswer: m**(227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/156)\/(1\/(-225)*3))\/(45\/54)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7970477 is divided by 332103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c183 (base 14) to base 9.\nAnswer: -176881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101835586 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 + 7*u - 5. Let l be q(-8). Let r(f) = 0*f + 0*f - 2 + l*f + 2*f. What is the tens digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 245584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179152 + 313152. What is a rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 5*w**2 + 2*w. Let z(l) = l**3 + 13 + l - 13 + l + 0*l - 4*l**2. Give 6*v(o) - 5*z(o).\nAnswer: o**3 - 10*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 18*r**2 + 32. Let c(o) = o. Give c(l(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 4, v: 1, k: 1}. What is prob of sequence kv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.027.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13610*z + 0 + 4544*z + 4547*z + 4513*z + 0.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 5 + -1 + 220 + 12 + -8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 526915 + -115358. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 48*l**2 - 45*l + 553. Calculate the lowest common multiple of 1582 and w(25).\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-3\/4)*s*s**1*(s\/(s**(2\/5)\/s))**(-2\/55) assuming s is positive.\nAnswer: s**(4061\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 6048 = -8312. List the prime factors of b.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 48*l + 27. Let y be v(12). Let w = y + -311. Let z(i) = -2*i**2 + 6*i. Let a(m) = -m**2 + 2*m. Determine w*z(s) - 11*a(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 8*v**2 + 39. Is j(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 717, 718, 719?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 21*n - 5*m + 1080, 4*n - 900 = 5*m. Let w = -84 + n. What is the highest common divisor of 102 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223577768 minus -0.0907?\nAnswer: 223577768.0907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*b + 1245 = 0, -2*q + 489 = -10*b + 9*b. Differentiate -q + 280 + 2*i**2 - 2*i**2 - 25*i**3 with respect to i.\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8833769 + -8?\nAnswer: 8833761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*y - 32 = 4*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(847) - sqrt(847))**2 + sqrt(42)\/sqrt(6) + 0.\nAnswer: sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 847*-9\nAnswer: -7623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119422 is divided by 257.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 483.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4 - 2\/7*i**4 - 26\/7*i**2 - 18\/7*i + 18\/7*i**3 = 0.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 + 3*b**2 + 4. Let j(f) = -11*f**3 - 7*f**2 - 9. Suppose -11*c = 1324 - 1368. Calculate c*j(i) + 9*l(i).\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107, 812, 2119, 4028, 6539, 9652?\n\"Answer: 301*d**2 - 198*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -37, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 32*v - 88. Let c be p(3). Let o be (-11)\/22 - (-1 - 28\/c). Solve -2*n - 2*k - 8 = 0, -o*n + n - k = 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 6*v - 5*v**2 + 0*v**2 + 5*v**2. Give b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -12*g. Let i(v) = -2133*v**2. Determine b(i(k)).\nAnswer: 25596*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -84. Suppose -3*g - 72 = 2*n, -n - 39 = -3*g - i. Which is bigger: -15 or g?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/48 + 46*(-4)\/(-273). Is -1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118? (a) -5\/2 (b) -4 (c) 0.1 (d) 5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 101 = 5*x, 0 = -3*x - 3 - 3. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 8*j - 6. Let f be y(-9). Let p(t) = -136 + t**f + 281 - 144 + 2*t + 4*t**2. Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1 (c) -132 (d) -82\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12050417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -3.7. Let y = -22.5948 - -0.5948. What is the closest to -2\/5 in y, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217493?\nAnswer: 19, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**19*t)\/(t*t**(-9)))**(-21) assuming t is positive.\nAnswer: t**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*(-10)\/245)\/((-360)\/56*-2).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.9 + 70.6. What is l rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 - 5*l + 18. Let w(i) = -9 + i**2 + 3*i - 6*i**2 + 8*i**2. Let f(g) = 4*b(g) + 7*w(g). What is the remainder when 26 is divided by f(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723489529?\nAnswer: 7, 103355647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 421*r + 969. List the prime factors of b(10).\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 3*h + 57, 5*o = h - 99. Let n = 9 - o. 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 the greatest common factor of 320 and 5450560?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 3*n - 11*n**3 + 14*n**3 - n**4 + 2*n**4 - 2 to l*n**3 + z*n + t*n**4 + v*n**2 + k and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j - 30. What is the remainder when w(-19) is divided by (-16)\/6*(-78)\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or 556890?\nAnswer: 556890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54 + 5673856890.72.\nAnswer: 5673856891.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 2979*t**3 - 13368*t wrt t?\nAnswer: -20*t**3 - 17874*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7*25.1\nAnswer: 175.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 + 140 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h + 8 = -4*g, 0 = g + 3*h - 15. Solve 4*t - 19 = -g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 17*m - 6952 = -6034 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 54*i - 2575952. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 3196952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2253642.3 hours?\nAnswer: 93901.7625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 + 3*l + 2. Let h = -95 + 94. Let t be a(h). Solve -3*j - q = -t - 1, q = 2*j + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 5*l**2 + 6*l + 1. Let r be d(4). Let k = 254 - r. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 122 + 16 = 0. Let p = 100 + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:30 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (4*sqrt(847) + -1 - sqrt(847))) + 5.\nAnswer: -99*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/240 - 5*b**4\/16 - 29*b**3\/24 - 152*b**2. Solve u(l) = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 4. Let r be w(-6). Let g = r - -23. Solve -4*d + g = 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:41 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*k + 1345 - 11745 = 42*k + 135*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80*f - 326 + 163 + 160)*(-15*f**2 + 164*f**2 - 9*f**2) to the form i*f**2 + a*f**3 + t + k*f and give a.\nAnswer: -11200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4 = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 128 = 0. Suppose -h = 3*h + 4*v - j, -h - 5*v + 28 = 0. Suppose 3*b - 2*b = h*x - 45, 5*b - 95 = -5*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(7))**2 + -4*(sqrt(63)\/sqrt(9))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from azbbzkz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2003 divide 361533488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 168, 354, 540, 726?\n\"Answer: 186*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14400762 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 38 = -3*h, 3*y - 12 = 9. Let m(b) = -5*b + 5. Let s(t) = 1. Calculate h*m(q) + 4*s(q).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80*(-33)\/(-2376))\/((-10)\/(-12)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2690592959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1062 + -1061. Put v, 0.1, -2\/7 in decreasing order.\nAnswer: v, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 20. Let q = u - 36.8. Let v = q + 7. Sort -0.1, v, -2\/7 in increasing order.\nAnswer: -2\/7, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -733, -5, -34, -6, 3, 6, 5 in increasing order.\nAnswer: -733, -34, -6, -5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -95*x**3 + 3*x - 5. Let r(l) = 47*l**3 - l + 2. Determine -2*h(u) - 5*r(u).\nAnswer: -45*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + w + 3. Let r(z) = 220*z - 219*z + 3*z**2 - 7 + 9. Let y be (-550)\/(-77) - 2\/14. What is y*r(j) - 5*h(j)?\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1575*t**2 + 1074*t**2 - 1792*t**2 + t - 2.\nAnswer: 857*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 v when four letters picked without replacement from {v: 3, c: 2, e: 6, k: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96\/17 - -1499\/136. Let l be 1\/((-4)\/(-24)*-2). Calculate the common denominator of u and l\/(-9)*(-354)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:32 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -3 - 0 - -1. Let w be 0\/q*(-3)\/6. Suppose -2*y + y + 24 = w. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 27. What is the remainder when c(39) is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 18*o. Let a(p) = 235*p**2 + p. Give a(h(d)).\nAnswer: 76140*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, 25, -2722, 15 in descending order.\nAnswer: 25, 15, 5, 2, -2, -2722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8895*m = -8429*m + 1864 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*c\/c**(-4)*c))\/c)\/(c**(-3)*c)*c**6\/c**5 assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 32*u**2 - 2*u - 57. Let y = 63 + -36. What is the remainder when y is divided by z(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x**6 - 1\/48*x**8 - 7*x**2 + 0 + 0*x**4 + 7\/60*x**5 + 0*x + 0*x**7 + 0*x**3. What is the third derivative of j(i) wrt i?\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g, -20*s + 16*s = 4*g - 28764. List the prime factors of s.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-46)*((p*p*p\/(p**1*p)*p)\/p)**(-18\/5)*((p*p**(-2\/7)*p)\/p)**1\/(p**(-4)\/p**5) assuming p is positive.\nAnswer: p**(-591\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + q**2 - 38*q**3.\nAnswer: -38*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)\/y)**(-43)*(y\/(((y\/(y**(-13)\/y))\/y)\/y))\/y*y\/y**15 assuming y is positive.\nAnswer: y**403","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(720) + -2)**2*3 + 5 - (sqrt(440)\/(sqrt(11) - sqrt(11)*2))\/(sqrt(32)*-4).\nAnswer: -3457*sqrt(5)\/8 + 6521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*r + 53215, 3*r = -6*h + 3*h + 31950. What are the prime factors of h?\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12 = 4*s - 2*k, -3*k = 0. Suppose 4*p = 3 + 17. Sort p, -5, s.\nAnswer: -5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3063330 - 4?\nAnswer: 3063323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13447, 20956, 28441, 35890, 43291, 50632, 57901, 65086?\n\"Answer: -2*t**3 + 7523*t + 5926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39147, -77926, -116701, -155472, -194239?\nAnswer: -233002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686710.\nAnswer: 2, 3, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2422491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55 (b) -1 (c) 3291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -410*q - 315. What are the prime factors of j(-5)?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2. Let y(k) = -2817159*k**2. Give t(y(q)).\nAnswer: -31745539325124*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109145073 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2364 and 1.7?\nAnswer: 2362.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(567) + (5 + -1*sqrt(63))**2)*2.\nAnswer: -1056 + 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2328*o**2*r*x + 9*o**2*r + 2*o**2*x + 15*o**2 + 8*o*r*x + o*x - 3210*r wrt o.\nAnswer: 4656*r*x + 18*r + 4*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1104, -1159, -1242, -1353, -1492?\n\"Answer: -14*j**2 - 13*j - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 794678*d**3 - 47649984 wrt d.\nAnswer: 2384034*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -109*h**4\/24 - 5*h**3\/6 + 6*h**2. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 7 = -2*y, 0*y - 2*j = -y - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 185*b**2. Let s(p) = 117302*p**2. Calculate s(r(d)).\nAnswer: 4014660950*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7707 + 7634. Sort 2, c, -2\/5, 2\/19, 7 in descending order.\nAnswer: 7, 2, 2\/19, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1354.2 - -1488. Let i = -134 + c. Suppose -2*y + 4*y = -4. Sort 0.1, y, i.\nAnswer: y, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -452*a - 208*a - 122*a + 128*a to i + l*a and give l.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -63.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrprjhhprhrjrhphr. What is prob of sequence hhjj?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5778*a + 80878. What is j(14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x**(-9)\/x*x)\/x))\/x*x*x)\/(x**(-3\/5)*x)*(x*x\/x**1)**18 assuming x is positive.\nAnswer: x**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1329*h = 744*h + 49752 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 - 62138*h**3 - 50*h**2 - 10133*h?\nAnswer: 96*h - 372828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -5*b**8\/336 + b**7\/14 - b**5\/3 - 3*b**2 + 26*b. Factor m(d).\nAnswer: -5*d**2*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 2, u: 4, o: 4, m: 1, w: 1}. What is prob of picking 1 w and 1 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*y - 54 = 196*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03225575 to 4 decimal places.\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 16. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1 - (-125 - -125)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -88\/15 + 1138\/15*s**2 + 42\/5*s**3 - 912\/5*s = 0. What is s?\nAnswer: -11, -2\/63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/10 + 18*q**5\/5 + 36*q**4 - q + 609. Factor o(g).\nAnswer: 3*g**2*(g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286 - 5436\/19. Which is the third biggest value? (a) 0.1 (b) j (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (330\/4 - -7)*-6. Let r = -1610\/3 - a. Factor -4\/3*v - r*v**2 + 0.\nAnswer: -v*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.9 + 20. Let h = b - 0.1. Is -2 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:14 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 - n**2 + 5*n + 5. Suppose -5*c = -13 - 12. Let p(f) = -f**3 - 2*f - 2. Calculate c*p(k) + 2*a(k).\nAnswer: k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-16)\/(96\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2, j + 0*j + 128 = 4*o. Let d = 232 + j. Suppose 0 = x - 4*h, -5*x + 2*h + 63 = 3*h. What is the greatest common divisor of x and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 - 2*l**2 + 47746*l - 3494032 wrt l.\nAnswer: -4*l**3 - 4*l + 47746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 164. Give a(14).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(0 + 3*j + 0) + 4 + 5 + 1431*j - 1442*j.\nAnswer: -20*j + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-688 + 779 - 389)*(-p**2 + p**2 - p**4).\nAnswer: 298*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82b5 - 307?\nAnswer: -85bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342275727 to the power of 1\/2, to the nearest integer?\nAnswer: 18501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-6*y + 3*y - y) + 4*y + 3*y - 4*y + (0*y + 0*y - y)*(2 - 1 + 0) - 2 + 2*y + 2.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-105)\/(-10)*(3 - 1). Let l be (3 + (-8)\/3)*(465 - 24). Calculate the greatest common factor of n and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*k + 73. Let p = 35 - k. Solve 2*w + 3*n = -9, p*w - w - 2*n = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8360.52 to the nearest 10.\nAnswer: -8360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -34*c**2 - 355*c + 226. Give l(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17914 or 17921?\nAnswer: 17921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 69 = 42*l - 3*w - 15, -2*w = -7*l - 47 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 210*r**4 - 1896*r + 2*r**3 - 2*r**2 - 1893*r + 2*r**3 + 3788*r - 2 as l*r**4 + z*r**2 + d*r + c*r**3 + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 8*d - 2. Let o be v(-6). Suppose -3*x + o = -x. Suppose -176 = -x*t + 239. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h - 2531 + 1885 = -5*h + 3026 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 7. Let x be p(-3). Suppose -7 - 1 = -4*d, x*n = -5*d + 150. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1430738, -1430742, -1430746, -1430750, -1430754?\nAnswer: -1430758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67030963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 0, 2, 6, 12, 20?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41961034 divided by -20980517.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(2\/33)*r*r))*(r*r**(2\/11)\/r)\/r)\/((r\/r**(-10)*r*r)\/r*(r*r*r**(-9)\/r*r*r*r*r)\/r) assuming r is positive.\nAnswer: r**(-190\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + u - 4*u - 34, -2*x + u + 13 = 0. Sort x, 3\/4, -1 in descending order.\nAnswer: x, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -0.11 (b) -0.6 (c) 5 (d) -0.734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623970 is divided by 607.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*b*c**3 - 5*b*c**2 + 598*b*c + 59*c**3 wrt c?\nAnswer: -420*b + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -27*k**3 + 24*k**2 + 4*k + 7. Let m(l) = 4*l**3 - l**2 - l - 5. Let h(r) = g(r) + 7*m(r). Calculate h(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 26. Sort d, -5, -2 in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31213466 by -38.\nAnswer: -821407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69870*b**2 + 17472*b**2 + 17462*b**2 + 17472*b**2 + 17470*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 36. Let k be j - (-6 + 4 + -3). Let h be 0\/((-6)\/((-6)\/2)). Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37591069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -160060700?\nAnswer: -160060677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:29 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 6*l + 43. Let n(x) = -5*x**2 - 7*x + 42. Let o = -26463 - -26457. What is o*n(i) + 7*w(i)?\nAnswer: 2*i**2 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 0.0012.\nAnswer: -0.5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 297 (b) -4 (c) 0.061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:09 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:17 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.1, 11, 684.9, 5?\nAnswer: 684.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021887096 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*c - 4*d, 0 = 4*d - d - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30989029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 25*n**2 + 23*n - 48. Let a be j(-26). Let r be (4 + a\/(-4) + 3)*-10. Solve -1 = -c + r*y, 4*c + 4*y + 15 = 5*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/6 - 2\/(-4). Let l(g) = -g**2 - 21*g - 73. Let o be l(m). Let d(k) = 5*k + 5. Calculate d(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/126*(7\/42)\/((-3)\/(-693)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5832*a**2\/11 + 163080*a\/11 - 1140050\/11.\nAnswer: -2*(54*a - 755)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y - 7. Let d be z(3). Suppose 4*m = 16, -c + 5 + 18 = 5*m. Suppose -c*k = d*k - 25. Solve -k*t = -2*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*t - 340 = 0, 6*m + 3*t - 356 = 4*m. Suppose 7*s - 189 + m = 0. Which is the third smallest value? (a) -2 (b) -0.017 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 255305610 + 1.3161.\nAnswer: 255305611.3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 242*x**2 - 3*x + 3. Calculate n(-1).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 8*s + 2640. Suppose 5*a - s = -5*l, 4*l + 176 = 6*l - 2*a. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*w, r - 5*w - 76 = 5*r. Let j = -7 - r. Let h be 51\/(-2)*(-50)\/15. Calculate the greatest common factor of j and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 12\/(-8)*3. Let f = 31171\/5 - 6234. Which is the second smallest value? (a) f (b) -3\/5 (c) 32 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 + l + 5. Let j = 2 + 15. Let m = j + -13. What is the units digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34583 - -34639.6192. Let t = 49.619 - o. Let a = t + 7. What is a rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5601 and -50.2?\nAnswer: -281170.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 3\/2 (c) -0.016 (d) 1.8 (e) -1\/711 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 2)*(-22 + 4 - 23)*(h + 2 - 2) as j*h + u and give j.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1783 + 1.1783. What is the third biggest value in 2, -1, 1\/6, -3\/14, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(j*j*j**(-1\/9))))\/j)\/j**(-22))**(-2\/87) assuming j is positive.\nAnswer: j**(-430\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48526?\nAnswer: 2, 19, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1136567, 1136566, 1136565, 1136564, 1136563, 1136562?\n\"Answer: -m + 1136568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**0\/n))**(-11\/7)\/((n*n*(n**(-2\/3)*n)\/n)\/n**5))\/((n**(-1)\/n)**(6\/7))**1 assuming n is positive.\nAnswer: n**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 55*n**2 - 880*n - 5. Let b be f(16). Let q = -0.2 + 0. What is the nearest to 1\/3 in q, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.50888 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-78)\/(-91))\/((-6)\/(-238)). Solve 0 = -r*k + 41*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 15*t + 2. Calculate p(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -129.1. What is the closest to c in 2, -0.05, -0.6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, v: 7}. What is prob of picking 1 v and 1 z?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {c: 1, p: 3, x: 1, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 16764?\nAnswer: 17004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 2. Give m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*v**3 - 11*v**3 + 15*v**2 - 33*v**2 - 7*v**3 + 2*v**4 + 21*v**2 - 2*v as c*v**3 + m + j*v**4 + x*v + r*v**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 108 = -h + 6*h, 0 = -5*h - x + 96. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 23 + 13. Sort -0.1, -4, 16, r in descending order.\nAnswer: 16, r, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 267376711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u = 6*u - 396 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 8. Let p(r) = 11. Let j(x) = 3*p(x) - 4*w(x). Let o(n) = 21*n - 5. What is 11*j(v) + 2*o(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15100292 to the nearest integer?\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s + 3. Let g = s + 6. Solve -2*f = -g*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1377, 5545, 12581, 22557, 35545, 51617, 70845?\nAnswer: 93301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/7 - 302*m**3\/7 - 10322*m**2\/7 - 96058*m\/7 - 238920\/7 = 0.\nAnswer: -15, -11, -4, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129 times -0.26?\nAnswer: -0.03354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81320 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -16*w**2 - 7*w - 5618. Let q(c) = 7*c**2 + 3*c + 2810. Calculate 3*a(m) + 7*q(m).\nAnswer: m**2 + 2816","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 9 = -2*o, 52*o = 2*b - 77 - 283 + 42 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 284 - 270. Solve 0 = -4*v + 6*v + 5*s + 4, 0 = -4*v + s + h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836498277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -53 in descending order.\nAnswer: 8, 3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -81.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 - 2 = 0. Suppose -3*r - m*u + 22 = -0*u, -r = -3*u + 11. Calculate the remainder when 14 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307386857 is divided by 220.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3 - 3)*(-n**2 + 1 - 1) - 2*n**3 + 5*n**3 - 4*n**3 + (-n**2 + 6*n**2 + n**2)*(-4 + 4 - 3*n).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 + 2 = 0. Suppose 25 = s + g*s, -5*z = -s - 20. What is the common denominator of 1\/22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - 25*t + 68. Let i be n(9). Suppose -i = -4*p + 56. Which is the third smallest value? (a) 1 (b) 1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1*6\/(360\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203*g - 1203*g - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert bbd6 (base 14) to base 3.\nAnswer: 1122121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191681?\nAnswer: 3, 132409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -182546.07 from 12.659.\nAnswer: 182558.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2. Let t(k) = 8*k**2 + 2*k. Determine u(t(p)).\nAnswer: 576*p**4 + 288*p**3 + 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqllqqqlqqqqqql. What is prob of picking 3 q and 1 l?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 2. Let i(j) = -215*j - 55. Let z(x) = -x**2 - 10*x - 7. Let q be z(-9). Let g(n) = q*i(n) - 55*b(n). Let p(d) = 2*d. Give p(g(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*q = -2*m - 12, -q = 2*m - 3. Suppose 3*x + m*o - 19 = 3*o, 2*o + 17 = 3*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.3, -5, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198238063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n - 6. Let k be u(-9). Suppose -k = -4*h - 3*h. What is the lowest common multiple of 20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -31*i + 317. Determine d(0).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12142 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2\/2 - 25*i - 2160. What is d(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68.26 from -0.0585591.\nAnswer: -68.3185591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = r. Let m = 36 - -4. Let b be (-3)\/12 - m\/(-32). Solve s = 2*s + 3*k + b, r*k = 4*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651244681 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.6070243 nanoseconds?\nAnswer: 0.00000000000155750675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245300320 - -5?\nAnswer: -245300311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*k - 5477*h**3 + 2*h**2*k + 3812*k + 3 with respect to k.\nAnswer: -h**3 + 2*h**2 + 3812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + m - 2 = 0, -3*b - 2*m = 2*b - 25. Let z be (-1 - -7)\/b*-1. What is the units digit of 2*(z - (0 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 2*d**2 - 4*d - 1. Let c be x(-3). Suppose -4*n + 3*n = -c. Solve -2*k - 3*k = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1161*d*i*r*u**2 - 13*d*i*u**2 - d*r*u**2 + 5*d + 2*i*r*u - i wrt r.\nAnswer: 1161*d*i*u**2 - d*u**2 + 2*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12379 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-800.3.\nAnswer: -320.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxxxkkxxxkxkkkxxkkx. Give prob of sequence kx.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*q, -2*h + 12 = -4*q + 2*q. Let a be 69\/15 - (-4)\/h. Calculate the common denominator of -71\/8 and a\/((-45)\/34) - -1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*a + 780. What is the remainder when a is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 68*z - z**2 + z**3 - 69*z - 6. Suppose 4*o - 5*d = -19, -4*o - 5*d = 4 + 25. Determine m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 8*n**2 - 7*n - 13. Let v be o(9). Let s = 12 - 16. Let q be ((-16)\/3)\/(s\/6). Solve 4*c - v*w = q, 0 = w + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3473 and 24\/3473?\nAnswer: 3473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/19)*r**(-40))\/((r**(3\/2)*r)\/r*((r**(2\/65)*r*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-102321\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g = 17*g + 5880. Suppose -4*y - g = -25*y. What is the remainder when 115 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*(-520)\/(-832).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 - 2527\/171. What are the prime factors of (-588)\/(-10) + (r\/3)\/(-25)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*x - 4*p, -2*x - 52 = 5*p - 27. Let a(c) = c**3 - c**2 + 19. Give a(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 9. Let b(k) = 679 + k - 2029 + k - k**2 + 666 + 675. What is -3*b(x) + 2*d(x)?\nAnswer: 3*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 18*i + 770. Put i, 5, -5, -2 in descending order.\nAnswer: i, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -141. Solve -2*s - 2*m + k = 0, -m + 1 = -s - 0*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let s(h) = -2*h**2 - 12*h - 5. Let i(c) = c**2 + 10*c + 11. Let b be i(-8). Let k be s(b). Solve -3*g - 7 = -4*y, -k*y = 4*g - m*y + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s + 1. Suppose l - 3*l = s*q - 12, -2*l = 5*q - 12. Suppose -p = -v + l*v - 112, 0 = -3*v - 3*p + 60. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 3. Let x be s(0). Let i be (3 - 12)*(-4)\/6. Suppose i*h - 3*h - 63 = 0. Calculate the highest common factor of x and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/42)\/(-9*7\/(-441))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6006 + 7149. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 1. Let d(v) = -3*v - 1. Let u(h) = 3*d(h) + 2*y(h). Suppose 2*i + 25 - 13 = 0. Calculate u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aannnanaaanan. Give prob of picking 2 a and 1 n.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.276 + -0.27599866. Round j to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4699 + 4703. Solve 4*s = 2*b + o, s + 6*b = 3*b - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjdjjjjjjjmmjjmjj. Give prob of picking 2 m and 2 j.\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 507, -3, -7, 1, -2 in decreasing order.\nAnswer: 507, 1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-6331)\/91)*(-97650)\/(-4). Round t to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/((-63)\/(-9)) + 12. Solve 3*c + 5*w = -29, 5 = 5*c + o*w + 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 21. Let q = w + -4. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/17 - 3956*m\/17 + 1956242\/17 = 0.\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2790 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -327f (base 16) to base 2\nAnswer: -11001001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from pqqqprqcec?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2359*z + 32078. Calculate x(-14).\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -216*n**2\/17 - 6694*n\/17 + 62\/17 = 0.\nAnswer: -31, 1\/108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 27724.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -144, 248883, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -19 - (7 - 2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -384852 > -384979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 + 133587?\nAnswer: 133670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -65, -64, -63?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*m - 421 = -156 + 1418 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/(357\/66)*7\/(-3). What is the third smallest value in f, 5, 12\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -2\/3*c**3 + 0*c**2 - 17*c + 0 - 1\/12*c**4. What is m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q**3 - 10*q**2 + 50*q - 105. Determine j(5).\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 22. Let a be b(5). Let n be (1 - -7)\/a*42\/(-56). What is i in 4*i - i - 7*i - 2*i**2 + 9 - n = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 2269866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.545725968 to 2 dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-38)\/3)*480\/(-720)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:35 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 998.9599 * -5.\nAnswer: -4994.7995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4\/7, -65, 4, -10066, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/108*531\/118?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/5 + 236*r**2 - 16296*r\/5 - 28224 = 0.\nAnswer: -6, 21, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 598818628\/5 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 e when three letters picked without replacement from {o: 4, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 + 4*r**3 - 11*r**2\/2 + 12*r + 9. Calculate the smallest common multiple of k(11) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -5*u + 23, -5*h - 32 = -4*u. Solve 0 = -5*k + 4*n - 45, u*n = 5*k - 3*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75786*b - 76956 wrt b?\nAnswer: -75786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012121101 + 102222221?\nAnswer: -202121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 7) in base 2?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 385676613 divided by 63\nAnswer: 6121851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**5\/35 - 5*l**4\/14 + 2*l**3\/3 + 5*l**2\/7 - 12*l\/7 + 67. Determine d so that g(d) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwazzkl. Give prob of picking 1 x and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/19153290 and -42\/178555.\nAnswer: 785284890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, q: 3, y: 3, p: 7}. Give prob of sequence nq.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 23. Let d(x) = -x + 8. Give -11*d(a) - 4*g(a).\nAnswer: 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554078, 4432780, 14960692, 35462420, 69262570, 119685748, 190056560, 283699612?\nAnswer: 403939510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 13. Let f be (28\/5)\/(q\/720). Suppose -4*d = -d - 42. Calculate the greatest common factor of d and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 586*c + 1. Let i(p) = -2*p + 30. Give i(j(y)).\nAnswer: -1172*y + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4 - 16. Let k be -2 - -7 - (c - 1). Let w(l) = -3*l**k + 10*l**2 - 3*l**2 + 3*l**2. Let q(o) = 2*o. Give w(q(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.1. What is the biggest value in 2\/21, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 1, s: 2, n: 2}. Give prob of picking 1 s, 1 n, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218*b**3 + 5*b*z + 433*b + 1098515*z wrt b.\nAnswer: -654*b**2 + 5*z + 433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 57*3\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/30 and 151\/2065080.\nAnswer: 2065080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-265.54428\nAnswer: -106.217712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 290 (b) 2\/3 (c) 0.1 (d) -0.1603\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 827 - 35. Let a be ((-44)\/6)\/(2\/(-6)). What is the greatest common divisor of n and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -538 - -908. Suppose -l = -8*f - 42. Let s(o) = 30*o. What is the remainder when s(4) is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/35)\/((-8)\/(-20)). Let b = 5.4541 + 0.3689. Let v = b + -5.8. Is v less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(-11))\/(2673\/(-9801)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {h: 5, y: 11, x: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191930 by -1.\nAnswer: -191930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose 16 = -2*d - v*d. Let b(h) = h**3 + 3*h**2 - 6*h - 5. Determine b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*m + 7*m + 5, 4 = -3*m - 2*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*v = -2082 - 5694 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1) + (-32)\/12. Let u(s) be the first derivative of 8\/5*s**5 + 8\/3*s**3 + 1 - b*s**6 - 3*s**4 - s**2 + 0*s. What is q in u(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 + (0 - -1)*0. Suppose b = 2*k + k. Let s = k - 6. Let t(l) = 4*l + 2. Let r(v) = -v. Determine s*t(p) - 2*r(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 10*z**2 + 13*z + 2. What is q(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/82631 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v\/v**(1\/8))\/v)**43 assuming v is positive.\nAnswer: v**(989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 45. Suppose 3*t + 79 = -26. Let j = t + b. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72876581259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpb. What is prob of sequence pb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let x(m) = 2 + 19*m + m - 2*m - 3*m + 16*m. Determine k(x(l)).\nAnswer: 62*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 330 + -276. Find the second derivative of -k*l + 153*l**2 - 214*l**2 - 53*l - 23*l wrt l.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 49*r + 714. Let h be t(-4). What is the greatest common divisor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 54*p + 71. Let z(y) = -105*y - 142. Let l(k) = 5*m(k) + 2*z(k). Find the first derivative of l(n) wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490693249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109836366.\nAnswer: 2, 3, 1783, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j**3 - j. Let c = -6 + 7. Let w be (0 + c)*(-7 - -7). Suppose w = -2*v + 6*v + 4. Determine o(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -993.175444 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/60 + h**4\/24 - 3*h**3 + 11*h**2. What is the tens digit of k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1333 + 183 = 0. Let w = r + -73. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3644, -3648, -3652, -3656, -3660, -3664?\nAnswer: -3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 90, 0.21, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 >= -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072166 rounded to three decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 168, 130, 94?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5060 - -26?\nAnswer: -5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 119\/(-35) + 4 - (-6 - 58\/(-10))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmqm when four letters picked without replacement from mqqoqroqqmmq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 14. What is t(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*n - 9 = 0, f - n + 0 = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/39)\/3 - 6784\/832 - (51 + 1).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Let j be (-117)\/(-135) + (-6)\/(-60)*-2. Find i such that 2*i - 4\/3 - j*i**a = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 460 - 456. Put -1\/3, u, 1\/71, 3 in descending order.\nAnswer: u, 3, 1\/71, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836)*3 + sqrt(1836) + sqrt(1836))\/(sqrt(3) - (sqrt(1470)\/sqrt(10) + sqrt(3))) - ((sqrt(170)*1 + sqrt(170))*3)\/(-3*sqrt(640)).\nAnswer: -113*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {q: 2, g: 1, i: 1, d: 2, v: 4, m: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-9 + 0 - -2)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(1088) + 2 - (sqrt(1088) - (1 + sqrt(1088)*2) - (sqrt(1088)*-2 + 3)) - (-3 + -4*(-1*sqrt(1088)*2 - (sqrt(1088) - -2*sqrt(1088)*2))))**2.\nAnswer: -3888*sqrt(17) + 793233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/81 - (-1)\/((-9)\/2). Let q be k + 9 + (10 - 9). Solve 4*z - 2*l = q, z + 1 = 3*l - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**3 + 6*h**3 - h**3)*(0*h + 0*h + 4*h) + 412*h**4 + 33410 - 33410 to the form c*h**3 + d*h**4 + u + s*h**2 + v*h and give d.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Suppose j*w - 557 = 343. Round w to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189.7 + -182. Let t = w - 8. Let h = 356 + -360. Which is the third smallest value? (a) 1 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-10)\/408)\/((22300\/160)\/(-223)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*s + 88 - 88 as h + w*s and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 13*z - 51. Let a = -3 - -3. Let i be a + (-6 - 3)\/z. Solve -5*f + 6 = -2*c - 5, i*f - 11 = -c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.92 + -5.916416. What is q rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*m + 130 = 0, 5*h - 3*m = -2*m - 110. Let r = h - -76. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*b + 118 - 4663 - 8911 = -1794*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqfhqqqhqfqh. What is prob of picking 2 q?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 51?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7040 = 3*a, 0*a = -22*q - 4*a + 77614. Which is smaller: q or 3531?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1751\/5076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Find a, given that -2*a + 2*a**2 + 2*a**3 - 2*a**4 - 4 + j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 + 1)*(-25 - 26 + 12)*(-13*k - 10*k + 7*k) as w + n*k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2 + (-1)\/((-3)\/(-21)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425*p**2 + 43*p**2 - 2052*p**2.\nAnswer: -3434*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30282*d**2 + 30282*d**2 + 31*d + 16*d + 5*d**3 + (-9*d + 10 - 10)*(-3*d**2 - 4*d**2 + 6*d**2) + 2*d**3 + 4*d**3 - 4*d**3.\nAnswer: 16*d**3 + 47*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, 4, -2576 in descending order.\nAnswer: 198, 4, -2576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i, 2*i + 177 = -0*c - 5*c. Let l = c - -37. Which is bigger: l or 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/11, 9\/2, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -192 - -200. Suppose -2*c - q = 2*h, -3*c - 1 - 3 = h. Solve -2*v = -s - 4*v - 11, c = 2*s + 3*v + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*z + z + 53*z + 24*z.\nAnswer: 156*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25766*k - 4 = -25768*k. Let a(r) be the first derivative of 22\/3*r**3 - 13\/2*r**k + 22 + 0*r. What is the second derivative of a(q) wrt q?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12)*2 + 495\/1080. Factor 0 + 1\/8*s + 1\/8*s**4 - t*s**2 - 1\/8*s**3.\nAnswer: s*(s - 1)**2*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in -1\/8, -0.4, -5, 3\/4, -19\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 + -338. Let b = -55 - -60. What is the closest to b in -1, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5 - 8912*x**4 - 979860*x**3 = 0?\nAnswer: -105, 0, 2333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**8)))\/(h*h**23) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdc when three letters picked without replacement from {q: 1, d: 4, y: 3, c: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -131*n + 130*n. Let q(j) = -31*j**3 + j**2 + 5*j + 4. Let f be q(n). What is the greatest common divisor of f and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 47220.\nAnswer: 1\/15740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.95 + -0.05. Let y = 6 - 6.3. Let t = -48 + 48. Which is the nearest to t? (a) 2 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6262*i - 10846*i + 4583*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -63?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1626? (a) -4 (b) -0.5 (c) -3 (d) 3 (e) 3\/4 (f) -0.0204\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tltl when four letters picked without replacement from {l: 18, t: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13050588, -1\/4, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -42*p**3 + 4*p**2 + 42*p + 15. Let q be l(-4). What is q rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1.144\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 1 + 3 + 2*f**4 + 0*f**4 - 5*f + 4*f to the form h*f**4 + m*f + s*f**2 + p + g*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 324961.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-472)\/(-6) + (1183\/(-1014))\/(148\/40 - 3).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2 - -3)\/((-1)\/5). Let z be 6\/t + (-32)\/(-5). Let l(g) = g**2 + 4*g - 15. What is the remainder when l(z) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 145 = -141 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:55 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5941 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -136918 less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -10, -44, -94, -160, -242, -340?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.3, 0, -1\/33 in ascending order.\nAnswer: -3\/4, -1\/33, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/1341 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 1 c when three letters picked without replacement from {t: 4, l: 1, c: 2, f: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 38*o**2 + 22*o + 262. Is 11 a factor of v(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 5*q - 2. Let x be n(4). Let p = -212 - -198. Let c be x\/(-21) + 1 + 28140018\/p. What is c rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50771 (base 12) in base 4?\nAnswer: -121211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5796458.\nAnswer: 2, 2898229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 3 = l + 6. Let w be 5\/2*l\/(-45). Which is the third smallest value? (a) -1 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(38)*1)\/sqrt(2) + 5)**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/50)\/(2\/((-32)\/36)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39378007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 869*r**2 + 427*r**2 + 441*r**2 + 19*r**3 - r + 1 to the form x*r**3 + p*r + g + u*r**2 + z*r**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 3*j**2 - 16*j - 28*j + 2*j**2.\nAnswer: -j**2 - 49*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.043 (b) 3 (c) 2 (d) -0.71 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4116 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2213 and -0.3.\nAnswer: -663.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7780.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/(h**31*h*h))**50 assuming h is positive.\nAnswer: h**(-1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**6\/360 + m**5\/60 + m**3\/3 - 3*m**2. Let x(w) be the first derivative of z(w). Let l be x(-3). Solve l*s = 2*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11557960570 rounded to the nearest 100000?\nAnswer: 11558000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1551292, -3102579, -4653864, -6205147, -7756428, -9307707?\n\"Answer: b**2 - 1551290*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11609071 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*b + 501195676, 9*z + 5*b = 7*z + 501195674. Suppose -9*w = -77002158 - z. Round w to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50690 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 + 41. Let j = w + 183. What is the smallest value in j, 1\/11, -1\/3, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-7 - (-1 + -13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) - -3*sqrt(68)\/sqrt(4)).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 9*u - 13*u + 96, 0 = 3*u - 4*y - 75. What is the greatest common factor of u and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10420102 (base 5) to base 7\nAnswer: 531636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 13595*o**2\/3 - 135955*o\/3 + 50\/3 = 0. Calculate o.\nAnswer: 1\/2719, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4780152 is divided by 1593378?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2066027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -100445\nAnswer: -22\/100445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pphphpppph. Give prob of sequence hppp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9555 divided by 245\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -72.7. Let a = 63 - h. What is a rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20025*o**3 - 162*o**2 + 365*o + 47581 wrt o?\nAnswer: 120150*o - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 - 2*y**2 + 2*y**2)*((1 - 9 + 2)*(0*y**2 - 13*y**2 - 6*y**2) - y**2 + 0 + 0) as k + w*y**3 + u*y**2 + x*y + m*y**4 and give m.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(-3 - 3 + 0)*(-4*m + 14 - 14) in the form u + l*m and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -28. Let v = -93 + j. What is the smallest common multiple of v and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -137 + 143 - p**2 - 6*p + 2*p**2. What is a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 3*c - 8. Let t be s(-6). Let z = t - 7. Suppose z*a = 2*a + 4. Solve 3*d + 2*d - 2*p = 3, 0 = a*d - 5*p + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -26. Let z = -3 + v. Let p(h) = 5*h - 1. Is 14 a factor of p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -606, -589, -568, -543?\n\"Answer: 2*y**2 + 11*y - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u - 7. Let n(a) = 2*a + 4. Let q(c) = -k(c) - 3*n(c). Suppose -5*l + 3 = 2*f - 10*l, -4*f = 4*l + 8. Let r be ((-1)\/(-3))\/(f\/(-15)). What is q(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19419 + 13a1?\nAnswer: -18048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3149707\/13 + 241892. Let n = w + 393. Let g = 0.8 + 0.2. What is the nearest to g in 1\/6, n, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/740)\/((30\/1860)\/(15\/3))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 2*a**5 + a**5 + 3*a**5 + 0*a**5 - a**5 + (-1 - a + 1)*(4*a**4 - 3*a**4 + 0*a**4).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 735*z**2 - 45384*z - 44652.\nAnswer: -3*(z + 1)*(z + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2108 and -53\/1720.\nAnswer: 906440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 - -2.4. Let k = w + -0.70000047. Round k to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 139001?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/7 + 6*w**3 - 573*w**2\/7 + 530*w\/7.\nAnswer: w*(w - 10)*(w - 1)*(w + 53)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(-901)\/2120 + (-11 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23937 - 44.7.\nAnswer: -23981.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1109a + -17?\nAnswer: 11083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16258, 35622, 54986?\nAnswer: 74350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1872695 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m - 4*x, 0 = m - 5*m - 4*x - 8. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27034.52 centuries to millennia.\nAnswer: 2703.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + j + 73, -3*j - 44 - 21 = -4*p. Let r be (-2 - 42\/(-15))\/p. Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 80 = -f, -5*f + 30 = 2*d - 2*f. What is the highest common factor of 168 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 277614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3352*c + 13410. Calculate z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 8*g**2 + g + 4. Let y be v(-9). Suppose 5*n = 9*n - y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*c + 1318*c - 660*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -103711 (base 8) in base 4?\nAnswer: -20133021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 314872799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 7*z - 42. Let s = 81 - 49. Let f = z + s. Put f, -2, 1, 5 in ascending order.\nAnswer: f, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 58 = -4*d + 2*n, -n = -2. Let a be (-90)\/8*(-7 - -3). Let i = a + -24. Calculate the greatest common factor of d and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 153\/(-31) - (-12)\/(-186) - -10. Solve -v + w*a + 0 + 4 = 0, -2*a - 4 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-49))\/((-1525)\/(-8540)))\/((-2)\/28)*-5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2728 + 0.4.\nAnswer: 2728.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 15*z**2 + 7*z - 75. Let q be t(-11). Solve q*n - 337*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398.2505l to millilitres.\nAnswer: 398250.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 5*g**7\/14 - 19*g**6\/3 + 167*g**5\/4 - 115*g**4 + 200*g**3\/3 + 160*g**2 - 1475*g. Find b, given that h(b) = 0.\nAnswer: -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 - 1154\/9. Let k = -142.3 - -142. Let c = -0.15 - -6.15. What is the smallest value in k, -0.5, c, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 276572376 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 52.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -82. Let w be (2\/(-12))\/k - 65340011\/(-66). What is w rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58200 is divided by 9700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 13 = 4*d, -5*s + 42*d + 71*d - 114*d + 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 263*u**2 - 2*u. Let q(v) = 479*v - 480*v - 2 + 0 + 2. Give n(q(b)).\nAnswer: 263*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17.157 times -10.6\nAnswer: 181.8642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(21*720\/2268)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, 4495, -2, 5 in descending order.\nAnswer: 4495, 5, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 258872856 divided by -2\nAnswer: -129436428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 2:12 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131804 is divided by 32721.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {e: 6, a: 3, i: 2, h: 5, y: 1}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 12222011?\nAnswer: -12222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 315 (b) -0.02 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -19, -35, -59, -91, -131?\n\"Answer: -4*r**2 + 4*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82, -159, -236?\n\"Answer: -77*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -27. Let n be (10\/4)\/((-4)\/q). Solve 2*p + n = -4*w, 4*w + 9 - 1 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1499916880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 9*w = 184. Let j = w - 83. Let a = j + 13. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.782708 nanograms?\nAnswer: 0.007782708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(12) - -4*sqrt(12)))\/(sqrt(12) - (sqrt(12) + -3*sqrt(192))).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 1. Which is the second biggest value? (a) -0.08 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + f**4 - 2*f**4 + (-38*f**4 - 19*f**3 + 19*f**3)*(3 + 7 - 5) + (0*f - 3*f + f)*(-4*f**3 + 2*f**3 + 0*f**3).\nAnswer: -189*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-1)\/(-4) - (-37)\/(-148)). Is 2\/4525 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r - 5*r + 994. Let z = r + 221. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 539133 and 10351.\nAnswer: 549484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/(12\/108*45)*(-1)\/((-2)\/10)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2, 2, -1.7, -3\/13, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*l = 3*f + 221*l + 34, 2*l = -13*f - 242 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 241.9, 180\/23.\nAnswer: 180\/23, 76, 241.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/4377600 and -173\/5544960.\nAnswer: 83174400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.1161638 - -0.0166118. Let p = 11.1 + y. Round p to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*s + 3840 = 191*s. What is the greatest common divisor of 5790 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210202200101 (base 3) to base 11.\nAnswer: 929489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8409382?\nAnswer: 2, 71, 59221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3553*v**3 + 625*v**3 + 44*v**3 + (3 - 3 - 3*v)*(-2*v**2 - 2*v**2 + 5*v**2).\nAnswer: -2887*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d**2 - 943*d + 43. Give h(39).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25359 + 25362. Solve 5*k + 7 = 2*i, 39 = 2*k - c*i + 33 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11081532 by 6.\nAnswer: 1846922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 403, -0.2, 0.040938, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y. Suppose -3*w - 20 = -2*v, y = 3*w + 4 + 8. Is ((-102)\/9)\/(v\/(-6)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8488542653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 135, 302, 535, 834, 1199, 1630?\n\"Answer: 33*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 0*l**2 + 29*l - 2*l**2 - 31*l - 3*l**3 in the form c*l + i*l**3 + x + m*l**4 + z*l**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p - 4*m + 34376, -2 = m. Suppose 4*z = 12*z - p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 7*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2\/5 + 5424*h\/5 = 0.\nAnswer: -1808, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2+-703433867.2172\nAnswer: -703433865.2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 + 5*o + 12. What is the remainder when -2 + -2*1*-10 is divided by m(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) -1 (c) 2\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 - 6*t. Let q(i) = i. Let x be (-2)\/(-8) - 45\/(-12). Let j(r) = x*q(r) + k(r). Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298751?\nAnswer: 3, 47, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5067 - 4845. What is the lowest common multiple of 18 and y?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3. Let o(d) = -6*d**3 - 10*d**2 - 2*d - 15. Let q(b) = 5*l(b) - o(b). Let i be q(-10). Let g be (-14)\/35 - 12\/i. Solve m + g = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, -3541.\nAnswer: -3541, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/684*116 + (-12)\/54. Sort -0.14, r, -2\/5, -2\/15 in decreasing order.\nAnswer: r, -2\/15, -0.14, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 14983\nAnswer: 3\/14983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 337583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338035662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903 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: How many minutes are there between 1:39 PM and 11:11 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f - 24*f = 594. What is the highest common divisor of 363 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 = 1. Solve 3*f + 10 = -0*l - 5*l, -4*l - 40 = -o*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v + 69*v = -9. Let t(n) = 4*n + 22. What is the remainder when t(v) is divided by 40\/15*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 5, i: 1, f: 4, j: 5}. What is prob of sequence jf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*w = -w - 30, -p - 2*w = -10. Suppose -7*g + 4*g + p = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7666 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24190282 and 5734?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 954, 1843, 3098, 4725?\nAnswer: 6730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -2\/21 (c) 2\/15 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1389, -1314, -1239, -1164, -1089, -1014?\n\"Answer: 75*r - 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (216 - 68*n - 216)*(-4*n - n**2 + 4*n) + 3*n - 51*n**3 - 3*n as k + c*n**2 + i*n**3 + b*n and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1381392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520426 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1559 divide 59451911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15778, 21073, 29862, 42115, 57802?\nAnswer: 76893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 97. Suppose -m = 3*t - 33, -t = 2*m - 101 + n. Let k be 4\/(-6) + m\/9. Sort -2, -3, k.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1351867600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let z(f) = a*f + f - f. Let d(y) = 0*y**2 + 0*y**2 - 3*y**2. Determine d(z(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/16))\/(d\/d**(-16\/7))*d*d**29*d*d**(5\/3) assuming d is positive.\nAnswer: d**(10229\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 8, 2 in decreasing order.\nAnswer: 187, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from dcycycyceecydec?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21002, -21015, -21028?\nAnswer: -21041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -17, -19, -1, 0, -4 in descending order.\nAnswer: 0, -1, -4, -17, -19, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Let d(j) be the first derivative of -13*j + 9367. What is -d(t) - p(t)?\nAnswer: -t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1 = -f, -3*t + 12*f - 10*f + 18 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**6\/30 + f**5\/10 + f**4\/12 - f**2\/2 + 5. Let i(h) be the second derivative of n(h). Factor i(x).\nAnswer: 2*x*(x + 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 12*o + 8. Let c(z) = z**2 + 2*z + 2. Let q(g) = -2*b(g) + 11*c(g). Calculate q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12141, 24318, 36495, 48672, 60849, 73026?\nAnswer: 85203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527514*u = 526952*u + 37092 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7108.878 millennia to months.\nAnswer: 85306536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.88 + 0.88. Put z, 0.4, 0.23 in increasing order.\nAnswer: z, 0.23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -11. Suppose 5*b - b - 356 = l. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snisn. What is prob of picking 1 i and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 6) to base 5\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.763.\nAnswer: -0.1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 5, 9\/14, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6588814837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 672685145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 700 = -15*r. What is the lowest common multiple of r and 14?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2314 and -157.\nAnswer: 363298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/58)\/((-5)\/30) + -1*19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - z + 6*z = -25, -2 = 2*z. Suppose 5*w = -4*v - 6, 0 = -b*v + w + 6. What is the nearest to v in -14, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*c = 56, -4*c + 100 = -3*p + c. What are the prime factors of p\/(-135) - 250\/(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9*k - 3*p - 3 = 0, 2*k = -3*p + 15. Let s be (22\/3)\/(k\/(-9)). Is -22 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11482703, 11482715, 11482727, 11482739?\n\"Answer: 12*b + 11482691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 + 38*l**2 - 3*l**2 - 16*l**2 + 63*l**2.\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/90 in 13, -4, 305?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -27*w - 77. Let y be 210\/40 - w\/(-12). Solve -2 = y*f - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1872\/3)\/24)\/(15\/20*32\/36)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2815?\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -294, 5, -21, -4, 1 in increasing order.\nAnswer: -294, -21, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -ce?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 666*n**2 + 586*n.\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -1, -7, -15, -25?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 - 4104*k**3 + 565497*k**2 + 1143294*k + 573696 = 0. What is k?\nAnswer: -1494, -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five halves of a litre in millilitres?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 438794.3 tonnes in micrograms?\nAnswer: 438794300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*t + 10 = 0, t + 3*t - 8 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*w + 7, 6427 = -4*w - 3*t + 6442 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 959, 1243, 893, -85, -1685, -3901?\nAnswer: -6727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.695 + -4.295. Which is the third biggest value? (a) q (b) 107 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 254?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 divided by -183?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by ((-84)\/(-27) + -10)*-36?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5872892734?\nAnswer: 2, 2936446367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.8. Let l = 23 - 22.9. What is the nearest to l in z, 4, 5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 2, 4, 3, -3, -717, -2 in increasing order.\nAnswer: -717, -3, -2, 2, 3, 4, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 312992 - 134592. What is y rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - 9\/15. Let k(s) = s**2 - 2*s - 1. Let w be k(n). Let v be 0\/1 - -2 - w. Is v > -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-4) + 2\/8. Let r(l) = -6*l**2. Let i(n) be the second derivative of n**4\/4 - 2*n + 13616. Calculate p*r(j) + 13*i(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 8. Let m(a) = 937*a + 1 + a**3 - 1856*a + 916*a + 0*a**3. What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkkkkjkmkkkmkkkmmk. What is prob of picking 4 m?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**3 - v**2 - 2*v + 4. Suppose -2*i - 6*z = -5*z - 11, 4*i = -z + 17. What are the prime factors of l(i)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l. Let p be o(1). Let z = 0 + 0.1. Which is the closest to z? (a) -0.4 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n + 261*n = -157778 + 1483404. List the prime factors of n.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/16, 7, -2878, -2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323321 - -23012?\nAnswer: 3012333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2963.9821 - -2964. Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:01 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjsdrjrjjjjrshjdsd. What is prob of sequence jr?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 17 + -35 - -34.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - v + 4. Let y(f) = -33*f**2 - 318*f - 60. Let b(j) = 15*i(j) + y(j). Factor b(n).\nAnswer: -3*n*(n + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -43*x - x**3 + 50*x + 1 + 3*x**2 - 7 - 2. Let t be q(4). Let c be 3 + (-950006)\/(t + -2). What is c rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(22\/825). Suppose 23*f = g*f - 10. Solve 11 = -f*d - 3*p, 5*p - 23 = 3*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 12. Put 4, h, 5\/2 in increasing order.\nAnswer: h, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -602, -1206, -1810, -2414?\n\"Answer: -604*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 1455*v**5\/4 + v**4\/3 - 52*v**3\/3 + 3*v**2\/2 + 3*v - 363. What is the third derivative of o(f) wrt f?\nAnswer: 43650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93029 divided by 3438\nAnswer: 93029\/3438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i. Let d(q) = 2*q + 2. Let u(c) = -c - 1. Let l(s) = 4*d(s) + 9*u(s). Let o(g) = -6*g**2 - 15*g - 15. Let h(a) = 30*l(a) - 2*o(a). Give n(h(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8029\/(-1147))\/(14\/(-44)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -42*a + 39*a + 7*y, 0 = -5*a - y + 50 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a7 + 7a?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2454 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - s = 2*p - 11, 4*s + 8 = -5*p. Let r be (-1)\/(-4) - p\/(-16). Suppose -5*l + x + 7 = r, -3*x + 0*x = 4*l - 17. Solve k = -0*k - l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/9)*(d\/d**(-7\/5))\/d*(d\/(d*(d**1*d)\/d))**20 assuming d is positive.\nAnswer: d**(-817\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1. Let q(s) = -5*s - 4. Let m(d) = 9*g(d) + 2*q(d). Let z(k) = -4*k + 5. Let h(o) = -10*m(o) + 2*z(o). Let r(t) = -t**2. What is h(r(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(3 + 1 + sqrt(275))*4)**2 + -1.\nAnswer: 64000*sqrt(11) + 465599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602657 by 1.\nAnswer: 602657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2, 0, 4, 5 in ascending order.\nAnswer: -2, 0, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -54. Differentiate -5 - 38*p - 57 + 2 - c with respect to p.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 + 11*w**5\/60 - 11*w**4\/24 + 11*w**3\/6 + 16*w**2. Let u be h(10). Sort -5, u, -4 in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Factor 1 + 4*v**2 - y*v**2 - 3*v**2.\nAnswer: -(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 42 + 4 - 44*m**2 - 48.\nAnswer: -44*m**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.9 + -33.9. Let v = 13 - 9. Which is the third smallest value? (a) v (b) -1\/12 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.11 - -0.11. Let o = -0.62 + 2.1. Let g = 1.43 - o. Which is the second smallest value? (a) 3 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**3 - 5*j**2 - j + 10. Suppose -14 = -3*a + 4*m, -4*a + 2 = -22*m + 25*m. Let p be v(a). What is the greatest common factor of 322 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -315, -739, -1333?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f - 33. Give m(-14).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14404, -4, -3, -1, 1 in decreasing order.\nAnswer: 14404, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/15)\/(2*11\/55).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 smaller than -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28977 (b) -77 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - t)*(t**2 - 2*t**2 + 0*t**2) - 4*t**3 - 6*t**3 + 4*t**3 + 0*t + 0*t - 2*t**3 + 6*t**3 + 4*t**3 - 4*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {p: 2, k: 1, e: 5, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*f - 24 = 3*a, -4*a + 5*f + 39 = 0. Suppose -h + 5*h = 0. Find the second derivative of 0 + 3*l**5 + h - a*l**5 + l wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81206 (base 9) to base 10\nAnswer: 53385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 20*w**2 + 19*w + 4. Suppose t - z = -17, -3*t + 2*t = 2*z + 23. Calculate the lowest common multiple of h(t) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92241292 to the nearest integer?\nAnswer: 9604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, s: 4}. Give prob of picking 2 s and 1 g.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - 3\/3. Suppose 10*p - 7*p + 9 = 0. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-14)\/8)\/((524370\/(-176))\/35)?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 9797440726\nAnswer: -9797440723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0 - -2)*2. Suppose 62 = -8*o + y*o. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454470, -1817529, -4089286, -7269735, -11358870, -16356685, -22263174?\nAnswer: -29078331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 313 = -293 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 44*v - 92. Let l(o) = 39*o**2 - o + 2. Calculate the remainder when l(2) is divided by n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405 take away 2?\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -398, -753, -1216, -1823?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-3)\/45*-9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114849.555059 + 114784.555. Let f = -65 - w. What is f rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-12)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -269*k**2 - 13*k + 793. Let x(j) = 2*j. Calculate z(x(y)).\nAnswer: -1076*y**2 - 26*y + 793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15139*a**3 + 57*a**5 - 261*a**2 - 7574*a**3 - 7565*a**3 - 5*a + 6*a**6 + a**4 wrt a.\nAnswer: 720*a**3 + 3420*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905953721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (12 + (76 + -71 - (4 - (1 + -4))))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 708.7 + -756. Let h = v - -47.29789. What is h rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppia. Give prob of sequence ji.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4153 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n. Let k(b) = -16*b - 40. Let l(c) = c + 2. Let p(x) = -k(x) - 20*l(x). Determine q(p(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 77 = -2*j. Suppose -3*a = 1 + j. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from ykddddkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 8*o**2 - 14*o + 3. What is p(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 203223?\nAnswer: 203130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 16*c + 1. Let y(p) = -3*p**2. Determine y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:04 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 3.24, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10797 or -1\/3?\nAnswer: 10797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:40 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2006.2694 + 2010.3. What is c rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -24, -51, -90, -141?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 0.2773?\nAnswer: 0.1773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 1, z: 1, x: 1, r: 1, a: 1}. Give prob of picking 1 s and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 236137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 205, -0.5, -0.4 in decreasing order.\nAnswer: 205, 0.2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 60 = -2*r. Let c = -5 + r. What is the units digit of 2\/10 - (-18)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in -1, 2\/5, 23, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*b + 2*x - 56, 3*b + 4*x - 84 = 0. What is the remainder when 107 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -53.\nAnswer: -53, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -5, -45 in decreasing order.\nAnswer: 5, -2, -3, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 8 = -13*q. Let x(g) = 1 + 3*g**2 + 3*g - 2*g + 3*g**q - 12*g**3 - 5*g**2. Give x(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 + 561*i + 85. Let z be n(-80). Let d be (2 + -5)*(-7)\/3. Let l = -3 + d. Put 2, l, z in decreasing order.\nAnswer: z, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378 + 378.346. Let u = s + -0.046. Let h = -39\/220 + -1\/44. Which is the nearest to h? (a) -0.1 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u*u)**(-33)*(u*u**(-2\/3))**(-2\/171))**(2\/53) assuming u is positive.\nAnswer: u**(33854\/27189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 40. Let m be (2*(-2)\/4)\/((-23)\/115). Suppose -4*y = -m - 75. What is the greatest common factor of i and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 2349.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 565?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 11 = v, -5*v + k - 6 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25455723 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(4\/(14 - -2)). Suppose -2 = 3*b - y*n + 6, 4*b - 4*n = -8. Solve b = -4*z - 2 - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35941.\nAnswer: 127, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*k + 17942, 4*q + 11952 = -3*k + 5*k. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195411783?\nAnswer: 3, 7, 131, 251, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136\/20163 - 30\/517. Put 0.4, 2, s, -1\/9 in increasing order.\nAnswer: -1\/9, s, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(700) + 0 - (sqrt(252)*4 + 1*sqrt(7)*-1))**2.\nAnswer: -78*sqrt(7) + 1192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3623 by 4.\nAnswer: -3623\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from iadadaddddadd.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 8) to base 5.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -69. Suppose -2*a - 4*x = 18, 2*a - r = -0*x + 3*x. Let y(q) be the first derivative of -4*q**3 - 1. Calculate y(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71820 + 24254763?\nAnswer: 24182943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/40 + ((-408)\/(-15))\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(0 + sqrt(153)) - (-2*sqrt(153)*4)**2) - (-1 + (sqrt(153)\/(2*sqrt(9)) - sqrt(153)*-3)).\nAnswer: -67*sqrt(17)\/2 + 39169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11774*c**2 + 12561*c**2 + 18416*c**2 + 16210*c**2.\nAnswer: 58961*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - u**3 + 0*u**3 + u**3 - 5*u**3 + 3*u**3 + (0*u + u**2 + 0*u)*(-u + u + u) + 3*u + 2*u**3 - 3*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l = -88*l - 270 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 20, -y + 6 = 4*v + y. Suppose 0 = 3*r - v*k - 6038, -10*r = -6*r - 4*k - 8044. Is (r\/22 - (-12)\/(-66)) + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g**(-2\/7)\/g)\/g))**(-10)*g**7\/(g**5\/g) assuming g is positive.\nAnswer: g**(-279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 g when four letters picked without replacement from uuguuuuuuuuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, n: 2, j: 3, y: 5, u: 3}. Give prob of picking 2 j and 1 p.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2 + 92*y - 1205. What is q(13)?\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 379*k - 16989. Determine y(-52).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 - 37 = -3*p, -3*p = 2*u - 50. Suppose 5*q + 6 - p = 0. Let g be (-21)\/(-6) - q\/4. Sort 2, g, 0 in increasing order.\nAnswer: 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302 divided by -254?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 87. Suppose -v + m = v. Solve 5*t + 4*n = -v, 0*t = -4*t + n - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182155 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1250*d**3 - 27*d**2*y**2 - 243*y**2 + y - 7 with respect to d.\nAnswer: 3750*d**2 - 54*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014688756 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26368 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q - 13*q + 4*q + 45 - 43. Determine i(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 7. Let s be n(5). Let w be (-8)\/(-1 + 1 - s). Is w\/(-4*3)*-99 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*(-5*(sqrt(64)\/sqrt(2) - sqrt(32)) + sqrt(32)))**2 - 4*(sqrt(8)\/sqrt(4) + -2 + -1 + -1*sqrt(2))**2.\nAnswer: 7164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -326 - -5?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + 2*i**3 + (4*i + 0 + 0)*(-i**2 + 2*i**2 - 4*i**2).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (5 - -6 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/9 - 863426*t**3\/3 - 2590282*t**2\/3 - 7770850*t\/9 - 863428\/3 = 0. Calculate t.\nAnswer: -1, 1295142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*u**4 - 11*u - 18\/5 - 57\/5*u**2 - 21\/5*u**3.\nAnswer: -(u + 1)**3*(u + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a factor of 3148848728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Let c(o) = o**2 - 2*o - 5. Let b be c(g). Suppose b*h = 55 - 19. Calculate the highest common divisor of 18 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*a**3 + 38*a**2*p**2 + 36*a*g*p - 78*g*p**2 - 2*g*p - p**2 - 356*p + 1 wrt a.\nAnswer: -72*a**2 + 76*a*p**2 + 36*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -10. Suppose -114*u + 12 = -117*u. Sort v, u, 11 in descending order.\nAnswer: 11, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/12)\/((-12)\/(-3960)*-55).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(2))*-4.\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.048 + 0.019. Let g = 4.029 + j. Let q = 356\/543 - -2\/181. Which is the second smallest value? (a) g (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - -4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25718 + -3?\nAnswer: 25715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2041 - 1504251?\nAnswer: -1510332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 369, -2\/9, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045504 divided by -6?\nAnswer: -1022752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14615 - -15088. What is the highest common divisor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3848 + (144\/6)\/(-3). Suppose 5*b - x = 2965. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -5*o**3\/2 - 6*o. List the prime factors of a(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200103 divided by 5.\nAnswer: 200103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/6 - 23720*p**3\/3 + 281295479*p**2\/3 + 187554040*p + 187561947\/2 = 0.\nAnswer: -1, 23721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001397119 to 6 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = 3*u + x, 0 = 2*x + 4. Let i be 296\/(-48) - u\/(-6). Let f(r) = -5*r - 14. Is 16 a factor of f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -6. Which is greater: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 595 and 1540.\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + k + 1. Let z(f) = -f**2 - 46*f - 22. Let c(g) = -3*d(g) - z(g). Let x = 742 - 723. Does 5 divide c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 5, c: 3, h: 2, d: 1, x: 1}. What is prob of picking 2 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-20)\/(-5)) + 4. Let w be 4*(j - (-18)\/(-4)). Does 26 divide w\/(((-2)\/(-1))\/(-52))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/60 - 11*z**4\/24 + z**3\/3 - 5*z**2. What is the tens digit of l(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14358185.\nAnswer: 5, 859, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - w - 165. Suppose 5*v - 43 - 2 = 0. What is the remainder when w is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 21 - 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/p)**25\/(((p\/(p**(-9)*p*p))\/p)\/p*p**(2\/13))*(p**16\/p*p**(-2\/7))**38 assuming p is positive.\nAnswer: p**(189913\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 5*y + 5. Let n(i) = i + 15. Let f be n(-10). Let d(w) = -4*w**2 - 6*w + 6. Let r(h) = f*d(h) - 6*q(h). Let p(b) = -b**2. Calculate p(r(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258 - 240. Let a = 850 + r. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3 - f**2 + 6*f + 0*f + 2. Suppose 0 = l - 3 - 2. Is s(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024 and 7936?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 19*s**2 + 6*s + 41. Give c(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0 + 0 - t - 2*t + 5*t + (-2*t + t + 0*t)*(-2 - 3 + 3) + 6*t - 41*t - 11*t.\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1244125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(2) - sqrt(128))*-5 + sqrt(2))**2 - sqrt(8)\/(sqrt(20)\/sqrt(5))) + (1 + sqrt(14)\/sqrt(7) - (sqrt(50) - sqrt(450))**2).\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4659*t**2*w + 77*t*w + 3*t + 2*w wrt t?\nAnswer: 9318*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 5*g**2 + 12*g**2 + 21*g**2 + 21 in the form x*g + w + r*g**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2 + 166*n + 1. Let q(y) = y**2 - 9*y - 2. Give a(i) + q(i).\nAnswer: -6*i**2 + 157*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10028, 10020, 9990, 9926, 9816, 9648, 9410, 9090?\nAnswer: 8676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-2))\/(4\/1016) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -19. Let v = -6 - m. What is the smallest value in 0, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -16*b**3 + 6. Let g(h) = 2*h**3 + 8736 - 8731 - 17*h**3. What is 6*g(i) - 5*p(i)?\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9706, -78581, -265788, -630493, -1231862, -2129061, -3381256?\nAnswer: -5047613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 37 - 37.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*h - 57*h - 33*h - 48*h.\nAnswer: -92*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x - 204*x - 222*x + 20*x - 266*x to the form d + r*x and give r.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 19. Let a be o(16). Suppose -z - 1574 = a*s + 2411, -5*z - 19865 = 3*s. What is z rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/230 or 3?\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 3, 47, 1\/5 in descending order.\nAnswer: 47, 3, 1\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22871783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2448) + 1 + 4 + -3 - -6*((sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448) + sqrt(2448)))*-3 - sqrt(2448))) + 4 + -2)**2.\nAnswer: -10416*sqrt(17) + 2352720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 4*m**2 - 4*m**3 - 2*m**2 + 2*m. Let o(b) be the second derivative of -b**5\/4 - b**4\/4 + b**3\/2 - 19*b + 34. Determine -2*o(z) + 3*q(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*((0 + 1 + 1)*(-1 + 0 + 3) + 1 - 4 + 1).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -144*z - 1148. Let c be n(-8). Solve 16 = 4*f - 2*p, -f + c*p - 8*p - 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 230*q + 1245. Let h be x(-3). Is h less than 554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 2*x**2 - 2*x - 2. Let k be d(-2). Suppose k*f - 10 = 3*f. Let n(o) = -17*o + 19. Is 21 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/330 - 4*n**4\/33 - 64*n**3\/33 + 311*n**2. Factor x(o).\nAnswer: -2*(o + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -37992?\nAnswer: -37992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 2. Let c(b) = -2*b - 2. Let q be c(g). Factor -31 + 31 + 2*v**5 + q*v - 4*v**3.\nAnswer: 2*v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18)*4)\/((-4)\/(-3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106365*z**3 - 273568*z wrt z?\nAnswer: -638190*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -0.3 (b) 3\/8 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/22294 and 67\/38.\nAnswer: 423586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 195, 83, -153, -555, -1165, -2025?\nAnswer: -3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 118.584. Let d = c - 0.5. Let x = d - -0.08361. Round x to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**3 - 15*f**2 - 117*f + 767. Factor v(g).\nAnswer: 3*(g - 13)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -43, -362\/7, 4 in descending order.\nAnswer: 4, 2\/15, -43, -362\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 24647?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -5\/3, -12 in increasing order.\nAnswer: -12, -5, -5\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(100) + -6*(0 + sqrt(3))**2)*3 + -4*((sqrt(72)\/sqrt(4))\/sqrt(6))**2 + 4 + 4*(sqrt(3) - (sqrt(9)\/sqrt(3) - sqrt(3))**2).\nAnswer: -62 + 23*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -24. Put 2\/5, 1, z in ascending order.\nAnswer: 2\/5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36332965.75 rounded to the nearest 100000?\nAnswer: 36300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6725 + 6693 = -16*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 515 - 22?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k**3 + 6*k**2 + 5*k - 2*k**2 - 6*k - 5*k**2. Let u be s(-1). What is the third derivative of -15*w**2 + 10*w**2 + u*w**5 + 11*w**2 wrt w?\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4*(-40)\/720).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1347)\/15*2*10\/(-4). Suppose -5*x - 4*y = -v - 331, 5*y = 5*x - 825. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhcsshhchhh. What is prob of picking 1 c and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -46.8. Let k = x + 7. Let w = -3.4358 + -0.5642. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, -7, -3354, 4, 1 in descending order.\nAnswer: 4, 1, 0, -7, -19, -3354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 27)*(2 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-7 - (7 - 14))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -1902\/95?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726*2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 910849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9430014, 9430020, 9430026, 9430032, 9430038?\n\"Answer: 6*j + 9430008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651675?\nAnswer: 5, 13, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -197*z**4\/8 - 2*z**3 + 3*z**2. Let r be p(11). Let s = 91065\/14 + r. Calculate the common denominator of 59\/16 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 1802*d**3 - 55 + 55 + 2*d.\nAnswer: -1802*d**3 + 6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/11))\/s*(s\/(s\/s**(1\/2)*s))\/s)\/(s*s**(-1)*s\/s**4) assuming s is positive.\nAnswer: s**(31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1562\/81 or -19?\nAnswer: -1562\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -4\/3, 7, 2297?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**3\/3 + 9*f**2 - 3*f - 261. Calculate the lowest common multiple of r(8) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/2, -5, 15, 22, 0, 0.09.\nAnswer: -5, -1\/3, 0, 0.09, 1\/2, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 3 (b) -10134 (c) -14 (d) -4 (e) 0.3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 274 * -0.641.\nAnswer: -175.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147632 and 22656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2919 - -61301\/21. Put -99, q, -0.1, 2 in descending order.\nAnswer: 2, q, -0.1, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.062+-3\nAnswer: -2.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -2287 (c) 0.58 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5070 = -5*k + 588, -4*k = 4*z - 4552. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 127?\nAnswer: -4\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1285695004 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*r - 28, -r = -45*m + 96*m - 54*m - 28 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 192.5001 litres?\nAnswer: 192500.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k**2 - 67*k - 13. Let u be o(7). Solve -4*x + u = 3*p, 3*p - p + 3*x = 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 2444*r**3 - 14540*r**2 + 12100*r.\nAnswer: -4*r*(r - 605)*(r - 5)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30682 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 90454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774634491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m**3 + 565786 - 2280*m**3 - 565786.\nAnswer: -2231*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/5, -43.71, 0.4, 1\/4 in decreasing order.\nAnswer: 0.4, 1\/4, 1\/5, -1\/4, -43.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 292 = 2*f, 13*o + 3*f = 12*o - 48. Let c be -2 + o\/(-27) + (-375)\/(-135). Determine z, given that 12\/13*z**c - 4\/13 - 2*z - 10\/13*z**2 = 0.\nAnswer: -1, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -169*s**2. Let d(w) = -7*w + 3. Let r(g) = -12*g + 5. Let n(h) = -10*d(h) + 6*r(h). Give v(n(q)).\nAnswer: -676*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98550775 to the power of 1\/2, to the nearest integer?\nAnswer: 9927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -103.730833 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(224)\/((sqrt(49) + -3*sqrt(49))\/sqrt(7)) + (sqrt(224) + sqrt(224) + sqrt(224) + -3*sqrt(224)*-2)\/(sqrt(7) - sqrt(7)*1*-4))**2.\nAnswer: 14792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**6\/w))**38 assuming w is positive.\nAnswer: w**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 67411?\nAnswer: -67410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiihhhhii. What is prob of picking 3 h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -393, -1659, -3811, -6855, -10797?\n\"Answer: -d**3 - 437*d**2 + 52*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -52, -125, -238, -397, -608, -877?\n\"Answer: -q**3 - 11*q**2 + q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 73. Let j = -1 - -1.5. Which is the closest to -1? (a) n (b) -6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 1, b: 2, m: 2, y: 1}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*sqrt(140))\/(-6*sqrt(20)\/sqrt(4))*-6*6)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.8 + -1.6. Let k = -0.8 - w. Let d(r) = -r**2 - 4*r + 2. Let n be d(-4). What is the second smallest value in k, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4342403 - 0?\nAnswer: 4342403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*28191401.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zvllwlvvvlvllzlwzvvv.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-108)\/150) - (-132)\/480*10?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260 + 268. Suppose 0 = 3*m + 3*t, -3*m - 5*t - 13 + 3 = 0. Suppose -m*r = -a*r. Which is smaller: r or -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o - 5. Let l be u(-5). Let v = 3 + 1. Suppose -43*p = -23*p - 80. Solve 4*i - l*m = -m + p, 0 = v*i + 2*m - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 2 - 2 - 1)*(4*a - 5 + 5 + 3*a + a - 6*a + (-3 + 4 + 1)*(-4*a + a + 2*a) + 0 + a + 0 + 0*a - a - 2*a).\nAnswer: -2*a**5 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 21*k**2 + 100*k + 45. Calculate f(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 - 3*i**4\/4 - 3*i**3\/2 - i**2 + 3*i. What is v(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Let c(y) = -y + 7. Let i be c(x). Suppose i*r - 2*r = 5*g - 6, g = 2*r - 18. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2478 - 2478 + 50*n)*((4 - 4 + n)*(2*n**2 + 0*n**2 - 5*n**2) - n**3 + 2*n - 2*n) + (2*n**3 + 0 + 0)*(n - 2*n + 3*n) - 2*n**2 + 2*n**2 + n**4.\nAnswer: -195*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 156*d + 25. Is j(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 721 and 7155925.\nAnswer: 7155925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 452b (base 16) to base 6\nAnswer: 213551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -1.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*68\/(-12)*-1. Suppose 47 = 5*d + m. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 29*f**2 - 62*f - 19. List the prime factors of n(11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = -4*d. Let b(k) = 6*k**2 - 5 - 2*k**2 - k + 2. Let p(z) = 5*z**2 - 2*z - 4. What is d*b(f) + 2*p(f)?\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/142239 and 12\/47413?\nAnswer: 142239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1931*c**2 - 75493*c**5 + 151667*c**5 - 75036*c**5 wrt c?\nAnswer: 68280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -7, 0, 9, 20?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/63 and 19\/1470.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + b - 63*n = -64*n, -n + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-90)\/25)\/3)\/(1\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -48*o**5 - 91080*o**4 - 45411*o**3 + 221898*o**2 - 96741*o + 11382 = 0.\nAnswer: -1897, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y**4 - 35*y**4 - 49*y**4)*(2 - 1 - 2) + (1 - 1 - 2*y**2)*(3*y**2 - 5*y**2 + 3*y**2) + 20*y**4 + 0*y**2 + 0*y**2.\nAnswer: 91*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-3\/5)*u)*u\/(u*u*u\/(u*u*u**(1\/6))) assuming u is positive.\nAnswer: u**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/17 + 56*u**3\/17 + 2*u**2\/17 - 56*u\/17 = 0.\nAnswer: -1, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -39*b**3 + 2*b**2 - b. Let i(w) = -w - 33. Let l be i(-34). Give y(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**3 - 4*g**2 - 3*g + 8. Let x be r(3). Suppose 191*k - x = 186*k. Let d = 136 - k. Solve -3*w - 3*j - d = -5*j, -2*w - 13 = -5*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313692265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 2*o + 1. Let n(p) = -391*p**2 - 2*p - 142. Let i(v) = -2*m(v) - n(v). What is the second derivative of i(h) wrt h?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*k*v**5 - 531*k*v - 32*v**5 + 27*v wrt v?\nAnswer: 5660*k*v**3 - 640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(187) + sqrt(187))*-4 + sqrt(187) + -2*(sqrt(187) - (sqrt(187) - -2*sqrt(187))))\/((sqrt(99) - sqrt(99)*4)\/sqrt(9)*6) + 2)**2.\nAnswer: 14*sqrt(17)\/9 + 2129\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1757408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 152, 225, 326, 455?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-8)*p)**(2\/17))**(20\/9))**(-6))**(-46) assuming p is positive.\nAnswer: p**(-7360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -4\/375, -80.75 in decreasing order.\nAnswer: 2\/23, -4\/375, -80.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100 - 587*g + 115 - 2*g**2 + 574*g + (g + 0*g - 2*g)*(-2*g - g + 5*g).\nAnswer: -4*g**2 - 13*g + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h + 3*h - 3*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -82987.2 to the nearest one thousand.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9948.589 milliseconds in nanoseconds?\nAnswer: 9948589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (3 + 0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/2, 0.2, 126?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4377, 6781, 9191, 11607, 14029, 16457, 18891?\n\"Answer: 3*n**2 + 2395*n + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - k + 2. Let h(t) = -t**2 - 3*t - 6*t**2 - 15 + 6*t + 11. What is 4*h(m) + 9*j(m)?\nAnswer: -m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12, -3*k + 48 = 2*j + j. Solve -k = -2*s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}