diff --git "a/data/dm_maths/full_data_2/10075_11255.jsonl" "b/data/dm_maths/full_data_2/10075_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10075_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b = 19 + -12. List the prime factors of (-2)\/b + (-268)\/(-7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = -7*n + 2*p, 10 = -5*p. Suppose n = 4*q + 2 - 10. Suppose q*l - 59 = 29. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698756?\nAnswer: 2, 443, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25858.22 millennia in centuries?\nAnswer: 258582.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 104785*y**2 + 209555*y - 104775.\nAnswer: 5*(y - 20955)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-3))\/(3 - 1). Find the common denominator of -79\/20 and ((-1188)\/30)\/(k + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23123 (base 4) in base 6?\nAnswer: -3215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3564 - -13305. Suppose 3*d - 3*r - m = 0, 3*r + 1 = 13. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1979 - -1979. Let m be ((-4)\/(-42))\/((-1)\/6). Are v and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r + 4. Let x(q) = 35*q + 516. Let y be x(-15). Let b(t) = 11*t + 9. Determine y*d(k) + 4*b(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = -8. Let d be 1\/(-2) - (-9)\/2. Suppose l*h + o = -7 - 10, -d*o - 8 = 0. Let f(i) = -2*i - 4. Determine f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 267 - 181. Let j = n - -86. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbwzwwzmtwmzmfb. Give prob of picking 1 b, 2 w, and 1 m.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14 = -5*g, -b - 4*g = g - 16. Suppose a = -2*h - b, -5*h + a = 4*a + 3. Let q = h - -5. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 18*f = -120 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.1 + 3.9. Let m = s - 21.8. Which is the third biggest value? (a) m (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 16 = 2*g. Suppose -g*w = -2*w - 12. Calculate the highest common factor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 417, 981, 1545?\n\"Answer: 564*x - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -25 + 29 + -1 + 1 + 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -4*v - 2*t, -469 = -5*v - 2*t + 3*t. Let y = v + -54. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 37 = -4*a. Suppose b - j = 15, 15 + 0 = -5*j. Let v = a - b. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -36. Which is bigger: x or -13\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2975 and 8245.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7*z**3 - 70487*z**4 - z**2 - 2 + 70580*z**4 as v*z**4 + w*z + o*z**2 + f + p*z**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(18)\/sqrt(96) - sqrt(3))*-6)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 + 13*r + 8. Determine u(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -30. Let x = h + 4.5. Which is the nearest to 1? (a) -4 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31166*m**2 - 15584*m**2 - 15583*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 2*r - 5*r, 0 = -5*r + 2*n + 12. Solve 3*j + j + r = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73.502 and 4.\nAnswer: 294.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 114 = -52. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 17860027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7523487 is divided by 835929.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -22*q. Suppose 4*h - 6*a = -2*a + 476, -a + 607 = 5*h. Suppose -3*y + 2*x + 371 = 0, -5*x = 2*y - 120 - 102. Let s(z) = -z**2 - h + y. Give l(s(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30623 is divided by 10162.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcrrcd. What is prob of picking 2 r and 1 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, -3\/4, -55, 209, 1\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3288 is divided by 1638.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 != 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1932 + 1933. Which is the biggest value? (a) h (b) 0.4 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 49. Find the common denominator of 47\/12 and 2\/2 + m\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 119, 1, -4, -17, 3, 13 in ascending order.\nAnswer: -17, -4, 1, 3, 5, 13, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0*b - s = 3, -5*s - 27 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c - 2. Let u be x(3). Let n be (u\/(-8))\/((-1)\/14). Calculate the greatest common divisor of n and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.412 (b) 441\/4 (c) -4 (d) 576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13220 (base 4) in base 16?\nAnswer: -1e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a0 + -5?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 5296*d + 95982. Calculate j(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = a + 408 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s + 10 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11654*u**2 - 1837*u**3 + 11599*u**2 + u - 23251*u**2 to d*u + q*u**3 + p*u**2 + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 = 2*q, 0 = 3*g + 2*g + q + 5. Let o = g + 0. Let a be 0 + 9 - (-1 + o). What is the greatest common divisor of a and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 11124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5433840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -280 + 303.4. What is f rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 4. Let m(u) = u + 13. Let h be m(-13). Let c be y(h). Suppose c*g - 3*k = -k + 272, -3*k - 63 = -g. Round g to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4672 or 0.4?\nAnswer: -4672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3075*n + 876*n = 2989*n - 820*n + 292656 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.104 * 0.294\nAnswer: 0.030576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -1*sqrt(475))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 - -210. Suppose -7 + 37 = 4*o - i, 3*o + 4*i - 32 = 0. Let l = b + o. Calculate the remainder when 33 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/12*7\/154*33?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6626.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -10 (c) 2\/7 (d) -7 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17852 = 74*c - 18370. Let k(v) = -2 - 3 - v**2 + 2*v + 4*v. Calculate k(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 26*d + 54. Let f be i(24). Let v(s) = s**2 - s. Let a(c) be the first derivative of -5*c**3\/3 + 3*c**2\/2 + 2*c + 338. Give f*v(y) + a(y).\nAnswer: y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 2. Let l be k(0). Find the third derivative of -34*j**5 + 18*j**l + 5*j**2 + 5*j**5 wrt j.\nAnswer: -1740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100440 divided by -24\nAnswer: 4185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Which is the closest to d? (a) 0 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/88)\/(((-6417)\/2208)\/(-31))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*q - 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 10\/2 - (-17 - -20). Let s(g) be the third derivative of -g**6\/120 - g**5\/10 - g**4\/6 - g**3 - 7*g**2. What is s(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3012.879 decades?\nAnswer: 301.2879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.5 + -49. Let w = 4.1 - 0.1. Which is the nearest to 2? (a) w (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - -3) + (-71 - -55) + (-2 - 9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z + 4. Let c = 1 - 1. Let f(n) = n**3 + 3*n**2 - 4*n + 3. Let g be f(-4). Suppose c = -0*h + g*h. Calculate o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d495 + 5?\nAnswer: 9d49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 4*f + 5. Let w(r) = -r**2 + 3*r + 48. Let z be w(-6). Calculate m(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 8, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30274036.3 rounded to the nearest one thousand?\nAnswer: 30274000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4))\/(q**(-5\/4)*q*q)*q**(-1\/4)\/(q*q**0\/q))\/(q**(-1\/4)*q**(-1\/9)*(q\/q**0)**21) assuming q is positive.\nAnswer: q**(-887\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.279 - 2.\nAnswer: -2.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 253*b**6\/60 - 7*b**5\/60 - b**4\/4 - 4*b**3\/3 + 11*b**2. Let i be a(6). What is i rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261866 and 71.\nAnswer: 261937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.63583 millennia in months?\nAnswer: 67629.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*m + 607, 0 = 4*m - 9*m - 25. Let k = z + 1885\/9. Which is the fourth smallest value? (a) k (b) 2\/7 (c) -14 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23199730*k*s*t + 15*k*t + 47*k + 409*t wrt s?\nAnswer: -23199730*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109963, 109964, 109965, 109966?\nAnswer: 109967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -127, -240, -353?\n\"Answer: -113*j + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8402 + -8393. Solve 54*u = l + 57*u + 1, 3*l + 3*u = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0207806 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -46*u + 1. Is g(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - -5) + (-3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4597436 and 1432?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from couhw. Give prob of picking 1 o, 1 u, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*n - 17, -3*l = -0*l - 2*n + 3. Let c be (l + 9\/(-3))*-1. Solve c*m - 3*f = 0, 0*f - 4*f = -2*m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167478475 a multiple of 4585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-30) + (-746)\/10. Let g be m\/1 - 2\/1. What is the tens digit of -28*(-11)\/(g\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/13 + 66*x**4\/13 + 146*x**3\/13 - 194*x**2\/13 - 552*x\/13 - 280\/13 = 0. Calculate x.\nAnswer: -2, -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose -14 = 6*v + 16. Let i be -4*v\/(-15)*12. Which is smaller: -18 or i?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -11 (c) 7 (d) 1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6628899165 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(2299))**2 + 1.\nAnswer: -22*sqrt(19) + 2305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 - 5*i + 5*i + 3*i**4 - 6*i**2 - i to m + z*i**2 + y*i + j*i**4 + x*i**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.5, -1\/5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-3) - 5)\/(2\/450). Let t be (350*1)\/((-15)\/((-90)\/12)). What is the highest common factor of t and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 12*b**3 - 5*b**2 - 24 + 8*b**2 - 30*b + 0*b**4 - 3*b**4 + 6*b**2 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2223*-26.\nAnswer: 57798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/8*7\/((-84)\/254361) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 4. Let d = y + 3. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 32*j + 67. What is h(11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9529, 9624, 9743, 9886, 10053, 10244?\n\"Answer: 12*u**2 + 59*u + 9458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79479*u**2 + 158819*u**2 - 79351*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -54. Suppose -5*a - p*w = -136 - 186, 3*w + 68 = a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5054 - 18601?\nAnswer: -13569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose -5*u - 5*h - 3 = -2*h, h = -2*u - 1. Suppose u = -5*l - a + 20, -3*l + 4*l - 3*a = -12. Is w < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = 190*t - 1654 - 522 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2949491149.\nAnswer: 11, 37, 79, 91733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3 - 3)*1. Let h(v) = -6*v - 7. Let m(q) = -13*q - 16. Let r(i) = -9*h(i) + 4*m(i). What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9 = -g + 3, 3*w = 2*g + 4. Suppose g*q - 50 = 14. Calculate the remainder when 61 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-12) + 126\/(-8). Let a = 6 - q. Let c(m) = m + 62. Let w be c(-7). What is the greatest common divisor of a and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23902 and 51578?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:41 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -58*u**4 - 4429*u**3 - 32589*u**2 + 2200681*u - 1389461 = 0.\nAnswer: -47, 37\/58, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/75*1375\/(-16995).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**2 + 68*o - 90. Determine m(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 4, 5, -4.91, 4\/3, 1 in increasing order.\nAnswer: -30, -4.91, 1, 4\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 6. Let d = 1 - 6. Let n(t) be the first derivative of -t**3 - 5*t - 241. Give d*n(v) + 4*c(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 + 27*g**2\/2 - 96*g + 126.\nAnswer: 3*(g - 3)*(g - 2)*(g + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 14 = -3*k. Let s = k - 1. Let f be 4\/s + 69\/21. Solve 2*i + 1 = f*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4679469.58 * 0.4\nAnswer: 1871787.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 5, -1072?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2 - (-1 - (0 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4368561821*q**2 - 4368561837*q**2 + 0 - 6 + 6.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44217.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.054, -33333, 0.2, 2?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/112)\/((-6)\/(-8)) + 3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -5 (c) -0.06 (d) -0.046 (e) -4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -20, -39, -76, -137?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c + 29 = -53*c. Calculate the highest common factor of c and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 0*g**2 + 0*g**2. Let v(n) = -n**2 + 2*n**2 - 5*n**2. Determine r(v(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {l: 2, v: 3, p: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*u - 1065, 15*u = 4*s + 11*u - 844. What are the prime factors of 130696\/s + 4\/(-54)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:05 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*n**4 + 8897*n**3 - 8897*n**3 - 275*n**4 - 3*n**4 - n**4 + 3*n**4 + (2*n - 3*n + 3*n)*(0*n**2 + 2*n**3 + 0*n**2).\nAnswer: -339*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 31*k**4\/2 - k**3\/3 - 3*k**2\/2 + 6*k - 29. What is the units digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -255139 and 0.04645.\nAnswer: -255138.95355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53792, 53796, 53802, 53810, 53820, 53832?\n\"Answer: a**2 + a + 53790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*5\/(-225)*5. Which is the biggest value? (a) m (b) -0.1 (c) 0.017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) 15 (c) 0.1 (d) 13 (e) 1\/3 (f) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 12, -103 in ascending order.\nAnswer: -103, -5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -1\/5, -5, 977, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5542*j. Let h(q) = 52*q**2 + 42*q**2 + 49*q**2 - 195*q**2 + 50*q**2. What is f(h(n))?\nAnswer: -11084*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let u(d) be the first derivative of -d**4\/4 + d**3\/3 - d**2\/2 - 1026. Give -u(v) + 2*z(v).\nAnswer: v**3 - v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 2*j + 892*j**2 - 822*j**2 as u*j**2 + k + d*j and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*o + 5 = 5*o, 0 = r + 5*o - 15. Let f(a) be the first derivative of 3 + 1\/5*a**r - 1\/3*a**3 + 1\/4*a**2 - 1\/12*a**6 + 0*a**4 + 0*a. Factor f(l).\nAnswer: -l*(l - 1)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2666, 3476, 4284, 5090?\n\"Answer: -a**2 + 813*a + 1854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36391\/56 - -4534\/7. Let w = -116866 + 805323608\/6891. Let v = w - 627097\/55128. What is the common denominator of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 426\/138 - 10\/115. Solve 4*w = -m - 1, 0 = 4*w + l*m + 19 - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let r = 2 + q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9401457 and 207552.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56157 is divided by 154?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*v - 4*b - 50, -v - b = -15. Suppose v = -10*s + 12*s. Let n(m) = m - 5*m + s - 6*m + 8*m. Give n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379625453 to the nearest integer?\nAnswer: 19484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(144) - 3*sqrt(144) - sqrt(144) - sqrt(144))*6 - sqrt(144)) + sqrt(144) + sqrt(144) - sqrt(144))\/(sqrt(3) + (sqrt(3)*-4 + sqrt(3))*1) + -1)**2.\nAnswer: -96*sqrt(3) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50010 = -7*s + 69690. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332 (base 9) to base 2.\nAnswer: 100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711121 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-159)\/(-12) + (-9)\/1 + -4. Let n = 94 - 836\/9. What is the closest to 0 in -2\/3, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 4. Let x(r) = r. Let t(s) = g(s) - 3*x(s). List the prime factors of t(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5022*-27.54\nAnswer: 138305.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Let y(v) = -3*v**2 + 79*v - 15. Let l be y(26). Let j be 24\/110 + ((-44)\/10)\/l. Put h, j, 1\/5 in descending order.\nAnswer: h, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n. Let p(f) = -2*f**2 - 2. Calculate p(u(j)).\nAnswer: -128*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161.06 - 161. Sort 2\/3, -2\/7, -4, b.\nAnswer: -4, -2\/7, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*k - 279. Suppose 0 = -72*m + k*m - 3585. What are the prime factors of m?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(24)*4).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4920\/11 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -17) + 1861 + -1909.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/2))\/(o\/(o**(-4)\/o)))\/(o**(-3\/5)*o\/(o*o**(1\/3))) assuming o is positive.\nAnswer: o**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240 or 21?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*j**4 - 25418*j**3 - 7*j**2 - 1161*j + 1140.\nAnswer: -1416*j - 152508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224 - 104?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 790997227 divided by 41631433?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-56)\/24)*78087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -68, 24416, -4 in decreasing order.\nAnswer: 24416, 2, -1, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 to the power of 1\/2, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-8)*(-1 - 11). Let a(b) = 205*b - 7. Let z(p) = 117*p - 4. Let u(f) = -12*a(f) + 21*z(f). Let n(y) = -5*y. What is j*u(w) - 4*n(w)?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -123, -2, 3, 4.\nAnswer: -123, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -50\/127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137526225 times 2?\nAnswer: -0.27505245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 336 - 239. Let y = t - 97. Suppose -5*j + 4*j + 41 = 5*o, y = -2*o + 2*j + 26. Solve -3*q = -2*a - 10, -5*q + o = -5*a - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801632 divided by -8043?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 1120116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/(-96))\/(5*(-9)\/513).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 75027.\nAnswer: 75026.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:09 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 - 5*s**4\/8 + 4*s**3\/3 + s**2. Is z(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812 is divided by 531?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (154 - (229 - 77)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {u: 1, w: 4, t: 2, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 4*l = 12*y - 2151, 5*l = 2*y - 1427. Let v = y + -724. Let t(x) = -3*x**2 - x**2 - x**2 - 3*x + 1 - x**3. Calculate t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 87*p**2 - 23*p + 86. Let o be y(6). Is (8 + o + -2)*1\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 82*z + 10 - 3 to w*z + u and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7023.\nAnswer: 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/(x\/((x*x**0*x*x)\/x))*(x**3)**(-4\/23) assuming x is positive.\nAnswer: x**(-104\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 3739 - 3*c - 3726 + 7465.\nAnswer: 2*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 - 218. What is the remainder when z\/36*-32*(-3)\/(-2) is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(1\/(-5))\/(24\/(-72)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9 - 4d?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*p - 655, 3*p = a + p - 217. Let o = a + -130. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103 in 1, 2, -5, 207?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708 and 2832?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 22*k**2 - 39*k - 7. Let c be t(-20). Let s = c + 32. Let a = -16 - -19. Solve s = 2*p - a*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(44)\/sqrt(4) + sqrt(11))**2.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/6 + 17*g**3\/6 - 25*g**2\/2 - 2840*g. Give w(10).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25.2. Let k = f - 2. Let g = -0.3 + 0.2. What is the closest to g in -1, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 8. Let y = 36 - 12. Suppose -l + 14 = j*b, l = -5*b + 4*l + y. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-9 + -13)) + 1 - (-8 - (-12 - -6)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 + 9 - 7*p + 8*p - 4 - p**3. Let t(q) = -q**2 - q + 1. Determine -c(u) + 5*t(u).\nAnswer: u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 497546.5ml in litres?\nAnswer: 497.5465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {i: 2, g: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 32*s + 3946. Calculate f(-80).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13446837 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -500. Let b = -1833 + 1749. Let i = b + g. Calculate the remainder when 204 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818 + 803 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157288951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*i, -5*m + 45 = 4*i + i. What is the tens digit of (-3 - -457)\/(2\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2*14)\/(4\/7*3024\/(-576))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - -1*sqrt(70))*1)\/(sqrt(55)\/(sqrt(22)\/sqrt(2))))\/((sqrt(7) - -4*sqrt(14)\/sqrt(2)) + sqrt(1008)*1).\nAnswer: 2*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26099378*d - 808729 wrt d.\nAnswer: 26099378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = i + 5, 78*p = 5*i + 73*p - 5. Solve -k - 5*m = -3*m + 3, -3*k - i = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.4 (c) 2 (d) -1\/62879 (e) 5 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 4*k + 56 - 55, 2*k + 4*s = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10875 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -37, -18, 19, 80, 171, 298, 467?\n\"Answer: l**3 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 7. Give h(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 5997292?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/5)*s*s**(-9))\/(s**(3\/5)\/s**(-1\/2)) assuming s is positive.\nAnswer: s**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77*54\/(-6732)*-34.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 - 134*b - 3\/2*b**3 + 3\/2*b**2. Calculate g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -496, -1068, -1880, -2938, -4248, -5816?\nAnswer: -7648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 171, 205, 277, 399, 583, 841, 1185?\nAnswer: 1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4676244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -978.413 - -978. What is o rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - m**2 + 6*m**2 + (5*m + 0*m - m)*(2*m + m + 2*m).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {k: 2, c: 2, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2340589085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.32, -5 in descending order.\nAnswer: -0.32, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.1, -2\/11, -2909?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 + 1240*a + 96100 = 0.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 812*b*o**3 - 234*b + 1 wrt o.\nAnswer: 2436*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -357*i**5\/5 + 5443*i**4\/24 + 4789*i**2. Find the second derivative of b(h) wrt h.\nAnswer: -8568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Solve 9 = 3*b - t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171299380 by 7.\nAnswer: 24471340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222311223 - -2120313?\nAnswer: 231032202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02516 minus -2685?\nAnswer: 2684.97484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 3 - 2 + 0 + 5.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (4 - (6 - -3))) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {c: 4, j: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {r: 2, i: 4, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3 + -45*(-455)\/1575\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-2\/9)\/l*l)*l)\/(l*l*l*l**(-1\/22)*l*l))\/(((l*l*l\/l**(-1\/17))\/l)\/l*l**(-13)\/l) assuming l is positive.\nAnswer: l**(34363\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 6 = -q. Find the second derivative of -3*g - 7*g**3 + q - 2*g**2 + 2*g**3 + 9*g + 21*g wrt g.\nAnswer: -30*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y + 3*w - 16, 12 = 4*y - 2*w. Suppose 4*o = n - 0*o + 15, -3*o + 8 = -4*n. Suppose -n + y = r. Solve 3*t = -r*i, 5*t = 4*i - 0 + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5 + 3776*f**4 + 7396*f**3 - 132168*f**2 - 271440*f - 135648 = 0.\nAnswer: -942, -6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**3\/3 + 3*c**2 - 7*c - 1. Let x be 55\/(-231)*3*(-1 + -6). What is n(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 - 2 = 0. Let l be -3 - (-5 - (x + 1)). Suppose -j + 6 = w, 0 = 3*j - 3*w - l - 2. Is 2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ooxxxzlooxzxxzxozo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 6*d - 9. Let k be h(-8). Suppose -1 = -i + 5. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/11 + 14*l**2\/11 + 9*l\/11 - 20\/11 = 0?\nAnswer: -4\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7856*o**4 + 1626*o**3 - 286591278*o wrt o?\nAnswer: 94272*o**2 + 9756*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 478 - 173 + 138 = 0 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 24. What is the remainder when x is divided by 663\/(-34)*(-3)\/((-9)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 21*t. Let m(w) be the first derivative of w**2 + 19. Determine m(u(j)).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 - -176. Let i(q) = -q**2 + 3*q - 3. Let a be i(5). Let f = 19 + a. Sort f, 1, t.\nAnswer: t, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (15 - -3) + -17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/169518 and 571.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:29 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2313441 (base 5) to base 12\nAnswer: 201aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -166865 + 2.77608?\nAnswer: -166862.22392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 7 + -3 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/265 + 15631\/530. Find the common denominator of 53\/16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2. Let c(j) = 5*j**2 + 9*j + 8. Let x(t) = c(t) + 2*u(t). What is the common denominator of x(-5) and 119\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -4 - 2) + -153 + 159 + -61?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = -m, -14 - 5 = -3*m - 2*a. Let x(t) = m - 5 - 3*t**2 - 23*t + 11. Let d(f) = -f**2 - 8*f + 4. Let c(i) = 8*d(i) - 3*x(i). Determine c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.4. Let c = 0 + o. Let g = -120935\/145098 - -10\/72549. What is the second biggest value in 1\/3, -2\/11, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 824.85.\nAnswer: 5773.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2304*i**2*y**2 - 666*y**2 + y wrt i?\nAnswer: -4608*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35249287, 35249285, 35249283, 35249281, 35249279?\n\"Answer: -2*l + 35249289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 37*z + 20. Give b(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/13)*d**(6\/5))\/(d\/(d*d**(-3))*d)**13 assuming d is positive.\nAnswer: d**(-3307\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -15. Let h = 19 + o. Solve d - h = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-9062*x**2 + 516*x**5 + 9062*x**2).\nAnswer: 1032*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002091013 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61807*b**2 + 123388*b**2 - 61575*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = s, 3*z - 9 = -0*s + 2*s. Suppose 2*w - 14*k = -15*k + 44, 2*w = 3*k + 12. Sort 4, s, w.\nAnswer: s, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 2, e: 1}. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -22 + (-42921)\/(-2527) + -2?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1530*s**3 + 1961.\nAnswer: -4590*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*-1 + 6516\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjjj when four letters picked without replacement from jvjjjvjjvvjvv.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 + 5?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 + 6*m**2 - 6*m - 8. Let r(t) = 8*t**3 + 7*t**2 - 7*t - 9. Let c(v) = 7*l(v) - 6*r(v). Give c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(4800) + sqrt(1728)*-1.\nAnswer: 3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*o + 28, 3*o - 5*t - 41 = -9. Suppose 3*q = -5*b + 152, q = o*b + 2*q - 116. Sort -1, 2, b, 0.\nAnswer: -1, 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1960 + 60. Is z a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768118.\nAnswer: 2, 11, 80369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*v**2 - 34*g*v**2 - 2*v**2 + 2262*v wrt g?\nAnswer: -2*g*v**2 - 34*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.97629ug in grams?\nAnswer: 0.00001497629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180005\/13 - 13839. Factor 0 + 12*c**3 + 224\/13*c**2 + y*c + 32\/13*c**4 + 2\/13*c**5.\nAnswer: 2*c*(c + 1)**2*(c + 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*p + 176 - 44, 3*d + 5*p = 115. Suppose -5*v - d - 35 = 0. Is 2 a factor of 26\/14 + (-2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3690\/2583)\/((-90)\/84).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - r + 0 + 17 - r. What is the remainder when 22 is divided by n(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*j**5 - 101*j**3 + 87203*j**2 wrt j?\nAnswer: 1500*j**2 - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {x: 7, v: 1, r: 9, z: 2}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32713 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*q + 2 = 0, 8*j = 7*j + 4*q - 10. Let p(f) be the second derivative of -1\/6*f**3 + 0 - 7*f + f**j - 1\/6*f**4 + 1\/20*f**5. Determine p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960487.7nm in millimeters?\nAnswer: 0.9604877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, p: 1}. Give prob of sequence pbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -1953.082052.\nAnswer: -1948.082052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 q, and 1 c when three letters picked without replacement from gqzzzfzsggfgcfgqgg.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(56 - 10 + 23)*(3*i + 0*i - 2*i)*(9*i + 78*i**2 + 1 - 4 - 79*i**2).\nAnswer: -138*i**3 + 1242*i**2 - 414*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 1\/6 (c) 199157 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 1. Let u be q(-2). Suppose -14*x = -10*x - 12. Suppose 0 = -p - x*p + 312. What is the highest common divisor of p and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 s when three letters picked without replacement from {b: 2, n: 1, r: 2, y: 4, a: 4, s: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14. Which is greater: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/24 - 4*t**3\/3 - 2*t**2. Suppose -3*r - r = -2*b + 26, -3*b + 32 = -5*r. Let n(s) = -s + 7. Calculate r*n(f) - 6*k(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 174. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c9 (base 14) to base 12\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 132 = -8. List the prime factors of (270\/(-126))\/((-1)\/t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -969749 divided by -1\nAnswer: 969749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 22. Let c be z(7). Let t be (-12)\/c*(-45)\/18. Let s be t\/1 - -32 - 3. What is the highest common divisor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2418, 4, -1\/3, -4?\nAnswer: -0.2418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2. Let g be l(1). Suppose f = 4*f - g. Let x be (-3)\/(-4)*(-18)\/27. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 9:33 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 + i - 1. Let w(u) = -u**2. Let j(q) = -g(q) + 4*w(q). Calculate the lowest common multiple of 1005\/134 - 6\/(-4) and j(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29042 + -29050.1. What is the biggest value in -2\/33, v, -5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 1 - 8\/(-44). Let s = -1.1 + 5.1. What is the third smallest value in -0.5, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 18)*(-12)\/10. Suppose t*u = -u + 14. Let 6 + 5*w - 3 - u + 3 + w**2 = 0. What is w?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -60*s + 17. Let h(m) = -40*m + 11. What is 8*h(y) - 5*p(y)?\nAnswer: -20*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 18*g - 34. Let n be u(6). Let w be ((-4)\/3)\/((-2)\/3). Calculate the highest common factor of n and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25*z**2 + 168*z - 169. Calculate the remainder when (44 - 3) + 1\/1 is divided by o(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 11 - 5*t + 7 - t**2 - t**3 as x*t + v*t**3 + a*t**2 + b and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74\/5 of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-4))\/((-4)\/(-14)). Let p = 9 - l. Solve 9 = -5*g - p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y**2 + y + 2. Let p be t(0). Let g be (-3)\/(-6)*p - -2. Suppose g*q + 5*d + 6 + 4 = 0, 5*d + 10 = q. Solve 2*n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1277 or -5128?\nAnswer: -5128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -14256\/37 (b) 0.3 (c) -227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:55 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1575, 1573, 1571?\n\"Answer: -2*d + 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*z = 22, 4*z - 6*z = 3*b - 14. What is the third derivative of -170*g**2 + 146*g**b + 14*g**3 + g**3 wrt g?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 + 927*f**2 - 62102*f + 2663. Calculate n(-205).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + 69\/21. Suppose -o*f + 40 = f. Suppose -2*m + f = -m. What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) 3 (b) 1\/4 (c) -0.5 (d) -0.1 (e) 0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12171382 is divided by 6085680.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100320112323 (base 4) to base 2.\nAnswer: -10000111000010110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -12 + 11 - -18 - 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/(-12) - -6 - 2\/4. Which is bigger: a or -90\/61?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6059*r**3 - 4 - 6065*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.071 + -0.071. Which is the smallest value? (a) 2 (b) n (c) -1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -22. Suppose -6 = -3*d, 0 = i + 5*d - 4 - 43. Let y = i - s. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20690525183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286*i*z**4 + 5*i*z - 4464*i + 509*z**4 - 28 with respect to z.\nAnswer: 1144*i*z**3 + 5*i + 2036*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000528673 rounded to seven dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 - 2*x + 17. Let c be a(7). Let r(n) = 0*n**c + 18*n**2 + 3*n**3 + 2*n - n**3 - 28*n**2 - 7. Let s be r(5). Sort 0.3, s, 4.\nAnswer: 0.3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -2, 0 in ascending order.\nAnswer: -8, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2 - 5)\/6)\/((-6)\/60). Put -249, 3, h, -5 in descending order.\nAnswer: h, 3, -5, -249","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50634 is divided by 253?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 4*k + 4. Let h be f(4). What is the units digit of h\/(-2 - (-39)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 0, 5*d = 4*d + 5*x + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/291, 2, 9\/4, 4 in descending order.\nAnswer: 4, 9\/4, 2, 31\/291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(15)\/(sqrt(12)\/sqrt(4)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:58 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11296, 11293, 11288, 11281?\n\"Answer: -b**2 + 11297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 494 + 251 - 84*b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 8*a - 5. Let p be 0 + (-2*1 - 0). Let l be (-6)\/((p + 3)\/(-1)). Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-992)\/(-868)*((-210)\/380)\/3?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272*b + 1273*b - 15245 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 5. Let b be j(5). Suppose -13 = -b*h + f - 2*f, 0 = -3*h + 2*f. Solve 0 = -h*t - t + 9, 4*l + 2*t - 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 6 + -12 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 226019 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 917\/4484 + -11\/236. What is the closest to x in -0.029, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 smaller than -287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, -4, 6.\nAnswer: -4, 6, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.9923 + 9.44464. Let x = w + -605.52234. Let t = x + 607. What is t rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89860 is divided by 262.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 31*m**3 - 108*m**2 - 50*m + 193. Calculate r(4).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*d**2 - 60*d + 2*d**3 - 591 - 223*d**2 + 1178 - 587.\nAnswer: 2*d**3 - 407*d**2 - 60*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 + 9*z**2 + 1. Let s(p) = p**3 + p**2 - p. Give 3*s(v) - w(v).\nAnswer: -v**3 - 6*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201 + -4143530?\nAnswer: -4144131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2748.3 + 2717. What is the closest to -0.2 in 4, -5, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 34 = p. Let n be (-97)\/((p\/1)\/3). Suppose 0 = 5*d - 5*w - 285, -4*w - 77 = -3*d + n. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 41*w + 3254. What is the remainder when 399 is divided by s(-79)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -56*n**2 + 3420*n + 74328. Determine v(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = -11*r - 192 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 4:24 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-30) - 632\/(-20). Suppose i*y = 26*y + 55. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67719.475743 and -337?\nAnswer: 68056.475743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.7217758 - 1.64?\nAnswer: -45.3617758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -28, 2, 5 in descending order.\nAnswer: 5, 3, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/3)*z\/(z*z**(4\/5)))\/(z\/((z\/(z*(z*z\/z**(1\/4))\/z))\/z)*z)**(13\/5) assuming z is positive.\nAnswer: z**(-613\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 2:50 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143\/42 - -25\/7. Let p = 5\/6 - c. Factor 4\/3*r + 0 - p*r**2.\nAnswer: -2*r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.3 - -17. Let c = q + 0.2. Let v = 117 - 117. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -7*s + 21 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrlrrrrrrrrttrrttt. Give prob of sequence rt.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -793*g**2 - 1144*g. Let v(f) = 22*f**2 + 32*f. Let n(y) = 4*u(y) + 143*v(y). Let s(j) = 4*j + 2*j - 4*j. Determine n(s(o)).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107704 is divided by 135.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103863.8 kilograms to grams.\nAnswer: 103863800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**2. Let k(r) be the third derivative of r**8\/20160 + 7*r**5\/20 - 4*r**2. Let t(i) be the third derivative of k(i). Determine v(t(b)).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29\/5, 2, 2\/9, 0.74?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.28, 903, 3?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -214, -5, 480, 1379, 2830, 4971?\n\"Answer: 23*l**3 + 48*l - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + 26 - (-8 + 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/3 - 14738*b\/3 - 73840 = 0. Calculate b.\nAnswer: -15, 7384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358528673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Let i(o) = 41*o**3 - 3*o**2 + 13. Let h(p) = -58*p + 58*p - 40*p**3 - 12 + 2*p**2. Let g(c) = r*i(c) + 3*h(c). Differentiate g(d) wrt d.\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r**(-1\/8)))\/r)\/r**(1\/10))**26*(r**(1\/14)\/r*(r\/(r**(-11)\/r))\/r)**47 assuming r is positive.\nAnswer: r**(72941\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22603594*w**2 - 72248284*w wrt w?\nAnswer: -45207188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13889 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x - 1696 = -29*x. Solve 0*a - 4*a + x = l, l = -2*a + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/120 - 2*b**5\/15 - 5*b**4\/8 + 13*b**3\/6 - 15*b**2 + 1. Let f = -1 - -12. Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42156 + 42848. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 1677?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9640.9 - -8537.53. What is m rounded to the nearest integer?\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**3\/8 - 1885*s**2\/8 + 751*s\/8 - 75\/8.\nAnswer: (s - 75)*(5*s - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/19 (b) 4 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -560*a**2 + 3*a - 1. Let f(s) = 564*s**2 - 2*s + 1. What is -4*f(k) - 3*v(k)?\nAnswer: -576*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1110)\/(-20))\/((-1)\/(-4)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196*i*t**5 - i*t**2 + 14104*t**5 + 35662*t**2 wrt t?\nAnswer: 11760*i*t**2 + 846240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -3210?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Suppose 6*o + 89 - 95 = 0. Let m(i) = -64*i + 71*i + o - 1. Determine m(k(j)).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*f + 955*f - 474*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 8457\nAnswer: -8476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 94994*l**2 - 24*l - 34. Let f be z(-2). Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/(14\/16 - -1). Suppose 8 = 2*j + 2*j. Factor -f*u**3 - 4\/5 + 4\/5*u**j + 4\/5*u.\nAnswer: -4*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -10 - ((132 - 19) + -203) - -22.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 48341*v - 290018. Calculate i(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-20)\/200) - 17\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*(y*y*y**(2\/7)*y)\/y*y)\/(y*y\/(y\/((y\/y**(-6\/11))\/y))*y))\/(((y*y*(y**(-1)*y)\/y*y)\/y)\/y)**(-48) assuming y is positive.\nAnswer: y**(288\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 14*p**2 - 473. Let s(n) = n**2 + 2*n - 1. Let g be s(1). Let a(z) = 0*z + 2*z - 2*z + z**g. Determine a(f(i)).\nAnswer: 784*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2606.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 14. Let y be r(-15). Suppose 0*x + 39 = 3*x - 3*m, 0 = 2*x - m - y. What is the smallest common multiple of x and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 148 = 220. Solve -u + 8 = 2*v, -4*v + 3*v = -u - k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -26, -18, 12, 70?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 11 + (3 - (-2 + 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 + 2*v**2 - v - 9. Give c(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5\/4 - 285*m**4\/4 + 11169*m**3\/4 - 10299*m**2\/4 - 10875*m\/2 = 0?\nAnswer: -125, -1, 0, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/54*10 - 2\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 412*b**5 - 6*b**4 - 6*b**2 + 102*b - 2. Let c(y) = -y**4 - y**2. Let g(x) = -6*c(x) + h(x). What is the second derivative of g(l) wrt l?\nAnswer: 8240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 7135 = -5*x - 7107, 3*q - 182 = -52*x + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.642, 0.1, 1\/2, 3, -232?\nAnswer: -1.642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b8 - 17b?\nAnswer: -2a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/15640 and -30\/221?\nAnswer: 203320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:09 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - 12*g**3 - 454*g - 2*g**2 + 452*g)*(-4 - 3*g + 4).\nAnswer: 48*g**4 + 6*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1124.15 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 30*q**2 - 24*q**2 - 12*q**2 + 12 - 4 - 2*q.\nAnswer: -6*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14475 and 27357?\nAnswer: 131997525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (68 - -14)*(-10)\/4. Let p = -109 - a. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20*j - 8. Let f(x) = -x**2 + 10*x - 5. Let p be f(9). Let b be c(p). Suppose 3*u = -0*u + b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8327362 is divided by 8327351?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132014 and 10132?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 570*q**3 + 2*q**2 - 695 with respect to q.\nAnswer: 1710*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -648238 + 648238 - 4963*f**2 to the form t*f + r*f**2 + l and give r.\nAnswer: -4963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 - (-6 + 6 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4498028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwwhphhwgbbwbwp. What is prob of picking 2 p, 1 b, and 1 h?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007607.1 less than 1.6?\nAnswer: 1007608.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from {k: 9, t: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6562.\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2363 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229 - 219. Solve -16 = -6*b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/15 (b) -3 (c) -1455 (d) 0 (e) -0.2 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*f - 11*f - 3230. Calculate the remainder when 186 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9766676, -9766673, -9766668, -9766661, -9766652, -9766641?\n\"Answer: s**2 - 9766677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {n: 3, m: 5, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039344034?\nAnswer: 2, 1427, 364171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let g(n) = n**2 - 3*n**2 + 5*n**2 + n**2. What is g(h(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/8 and -95\/5762.\nAnswer: 23048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58480237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26178202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 800264.579 rounded to the nearest one hundred?\nAnswer: 800300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 4*r**2 - 4*r**2)*(-6 + 4*r + 6).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200.1 + 197. Let b = u + 6.1. Is 12 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from ijdijnjwjj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1414*z + 1376*z + 532 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 9. Let w be (-5 + -7 + 10)\/(2\/(-4)). Let u(n) = 3*n + 4. Determine w*j(c) - 9*u(c).\nAnswer: -4*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04869 and -0.3.\nAnswer: 0.014607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786233 is divided by 131?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 119*v = -476, -26*y + 28*y + v = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423909 divided by 141303.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 32*v**2 - 71*v + 786. List the prime factors of c(27).\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 38. Let k = -2 + w. Suppose 6*j + k = 104. Solve -3*i + j = -m, -m - i - 22 = -5*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 688 and -4.1?\nAnswer: 692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1086839, 2173698, 3260545, 4347374, 5434179?\n\"Answer: -w**3 + 1086866*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62*(-3)\/(-84) + 30\/12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*m + 594*m - 2*m**3 + 1670614 - 1670614.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 836433.1 centuries in decades?\nAnswer: 8364331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 6*h. Let n be z(-5). Put 1, n, 29 in descending order.\nAnswer: 29, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-986)\/(-10) - (-78)\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1011100000101011110?\nAnswer: -1011100000101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-416)\/(-126)*-3 + 20 + -10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 0.13?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - -3.95. Let k = 195\/4 - 49. What is the third biggest value in k, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*z = -227*z - 16*z + 101040. Put z, -5, 16 in descending order.\nAnswer: z, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 2300866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1108026400 to the nearest one million.\nAnswer: 1108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 43911*f**3 + 18885*f**2\/2 + 327*f - 9\/2 = 0.\nAnswer: -1\/6, -1\/17, 3\/287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhqqqqcqqqqh. Give prob of picking 2 q.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*f + 7 - 18 + f**2 + 2 - 179*f - 4.\nAnswer: f**2 - 281*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6510192 and 11\/468.\nAnswer: 19530576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/8254110 and 77\/59429592?\nAnswer: 297147960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 1 + 3 + 5*y + (-y - 4*y + 2*y)*(0 + 1 + 1).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-140))\/((-2)\/(-7)))\/((-2)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + 7*d - 2. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 5, j: 1, m: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-252)\/18 - (-1365 + -10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2631*w + 2631*w + 60*w**2.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*y + 26, -3*y + 26 = 2*s + 42. Suppose -3*z - 4 = 2. Which is the nearest to s? (a) 51 (b) 2\/3 (c) z (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -34. Let k(j) be the third derivative of j**6\/120 - j**5\/30 - j**4\/8 + 2*j**3\/3 - 4*j**2. Give k(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1614065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1099, -1100, -1101, -1102?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-3)*(-851)\/8510. Let g be -1 - (-2 + (-659)\/(-262)). Let w = g - -2\/131. Which is the second biggest value? (a) 5\/6 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-23)\/(s*s**(1\/18)*s) assuming s is positive.\nAnswer: s**(-451\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*t - 47 = 0, -70886*t = -2*s - 70881*t - 145 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -109*n - 38. Let d be g(-9). Suppose -l + 281 = f, f + 104 = -3*l + d. Let j = l - 84. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5111666 (base 8) in base 9?\nAnswer: -2474751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, -4, -7434?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21432686.\nAnswer: 2, 11, 974213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 8:41 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.26 + -9.04. Let z = -10 - r. Let y be (-7)\/(-5) + 4\/(-10). Which is the nearest to y? (a) -3\/2 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (22 - (-10 - -17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 2*u + 1. Let m(k) = -9*k**2 - 4*k - 2. Let s(b) = 3*m(b) + 7*q(b). Give s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 9. Suppose -7 = -s + q. Suppose b = -3*b + s. Solve 5*w + b*l - 20 = 21, -l + 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 1. Let x(l) = 4*l**2 + 0*l**2 + 2*l**2 - 5*l**2 - 2*l**2. Let m(w) = w**2 - 7*w - 3. Let g be m(7). Give g*x(c) + r(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3420)\/570*(1*-1)\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccccbcce. What is prob of sequence ccce?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovpppvtvpllotolv. What is prob of picking 1 t, 1 l, and 1 p?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*n - 2, 24 = 7*g - 6*g + 4*n. What is the remainder when 1 - (-4 + g) - -27 is divided by (3 + -2 - 5)\/((-2)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6 and 15\/(-35) + 467\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -5\/24*t**4 - 3*t**2 + 0 + 1\/60*t**5 + 2\/3*t**3 + 0*t. What are the prime factors of j(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 + 5*x. Let s(z) = z**2 - z + 1. Let p(w) = -l(w) - 6*s(w). Find k, given that p(k) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 926, 1957, 2986, 4013, 5038?\n\"Answer: -k**2 + 1034*k - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 157.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*s - u = -2 + 8, -3*s - 21*u + 18 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbtt when four letters picked without replacement from btbbtbbtttbbb?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1184)\/360 - 5 - -9 and -77\/183.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1. Let z(u) = 5*u - 1. Let w(h) be the second derivative of -h**3\/6 - h**2\/2 + 3*h. Let i(d) = -4*w(d) - z(d). Calculate 9*c(x) + 2*i(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 1 + 17 + 103 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4113121, -0.1, 0.2?\nAnswer: -4113121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -203048753 divided by -509?\nAnswer: 398917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*u**3 + 12*u**2 - 125*u**4 - 11*u**2 - 509 - 19*u**3 + 2*u**2 wrt u?\nAnswer: -500*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582\/873*(-186)\/(-4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 147*w**2 + 6314*w + 10186. Determine j(182).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2162 is divided by 432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002077 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 16*a - 167. Let m be t(12). Calculate the highest common divisor of 4100 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 636.6302 millimeters?\nAnswer: 636630200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/2571 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3\/(-3)) - -1. Let w = 0 - o. Let u be -1 - 3\/1 - w. Let z(t) = t + 12. Give z(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 + 108*o**2 + 2*o - 3. Let m(t) = 10*t**3 + 324*t**2 + 8*t - 11. What is -2*m(s) + 7*z(s)?\nAnswer: s**3 + 108*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -277*k**5\/5 + 307*k - 145. Differentiate z(l) with respect to l.\nAnswer: -1108*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 5*r**3 + r**3 + (-4 + r + 4)*(-1 + 1 + 2*r**2) + 254*r**3 - 108*r**3 + 7*r - 129*r**3 + (1 + 2 - 1)*(-r**3 + 3*r**3 - r**3).\nAnswer: 20*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/764 (b) -0.5 (c) 0.81 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148156589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -6394.\nAnswer: -1\/3197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let j be (-18 - (-4 - i))\/1. Let h = -0.5 + 0.3. Which is the biggest value? (a) j (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1661744 and -45\/16576.\nAnswer: 6646976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooaoooooooao?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183.48249 months to years.\nAnswer: 15.2902075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27263 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrriuiurriiruuru. What is prob of sequence iir?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 104787382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 + 42. Let m(p) = -p**2 - 9. Let c(u) = 3*l(u) + 14*m(u). Let z(s) = s. Let r(f) = 4*f**2 + 24*f. Let q(h) = -r(h) + 24*z(h). Give c(q(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 15 + (-14 - 26) + -24.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10655*s + 63424 + 69004 + 6772 = -12545*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/4 - 2*m**3 - 4*m**2 + 9*m + 55. Determine x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.5063g to tonnes.\nAnswer: 0.0003955063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i - 60*i + 117 = 0. Let v = 40 - i. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4 - 6. Solve 0*o + 7 = -m*o + t, 14 = -4*o - 2*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 154. Let b be v(12). Let x = 212 + -139. Let q = b - x. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-48)\/40*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3026*y = 3043*y + 272. Sort y, 14\/37, 1\/5.\nAnswer: y, 1\/5, 14\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139414 is divided by 637.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4 - 44*t**3 - 100*t**2 - 52*t = 0?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48870 = -1187*y + 101*y for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 = 4*p + 5*p. Let z = p + -15. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -285 - -589. Suppose -2*q = -10*q + v. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 179c + 153?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2260 - 2192) + (-17 - (3 + -2)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7161255.\nAnswer: 3, 5, 233, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 44 = 4*u + 76, -2*u + 8*w + 50 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 621830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*a - 376 = -373, 0 = -m + a - 5 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5 - 26*w**4 - 59*w**3 + 84*w**2 = 0 for w.\nAnswer: -3, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q**2 + q - 1. Suppose -b + 14 = -8. Calculate the least common multiple of b and t(-3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3103\/15 + 207. Let z = 261 - 264. Let v be (20\/5 + z)*(-2)\/6. Which is the closest to u? (a) v (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**3 - 3*i**2 - i + 3. Let j(b) = -15*b**3 + 13*b**2 + 5*b - 13. Determine 9*a(m) + 2*j(m).\nAnswer: 6*m**3 - m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15119290, 15119283, 15119278, 15119275?\n\"Answer: a**2 - 10*a + 15119299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*u - 4, 3*u = -2*q - 0 + 20. Suppose -q*p + 163 + 87 = 2*j, -536 = -4*j + 4*p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 22 = 2*p, -p + 0*g = -3*g + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94782, 94791, 94814, 94857, 94926, 95027?\n\"Answer: j**3 + j**2 - j + 94781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i*i**(-3)))**(-3\/37)\/(i\/(i*i**(2\/3))*i**(4\/9)*i\/i**(-1\/4)*i*(i**(-1)*i)\/i) assuming i is positive.\nAnswer: i**(-1585\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 82021 (b) -1\/14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 684?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -103749, -103901, -104053, -104205?\n\"Answer: -152*h - 103597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 921 = -4*u, -3*u = 4*c + 117 - 1345. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/513 and 25\/392559.\nAnswer: 3533031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29482\/7 - 4212. Which is the second smallest value? (a) 6 (b) -3\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - s**2 + 0*s**2. Let r(c) = c**2. Determine p(r(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 69060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 390, -0.9, -1740, 0.4, 1\/8 in ascending order.\nAnswer: -1740, -0.9, 1\/8, 0.4, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)*p)\/p**(4\/9))**(-22)\/((p**2\/p)**46*(p*p**(-2)*p*p)**(-9\/7)) assuming p is positive.\nAnswer: p**(-16549\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/3 + 2*j**2 + 55*j\/3 = 0.\nAnswer: -5, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7632*g**3*o**3 + 16*g*o**2 + 355*o**3 wrt g.\nAnswer: -45792*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + q**2 - 4*q - 3. Let s(t) = -3*t**3 - t**2 + 5*t + 4. Let i(u) = 4*a(u) + 3*s(u). What is i(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 1. Let n(f) = 3*f**3 + 3*f**2 + 14*f + 5. Let m(k) = k**2 - k - 1. Let o(c) = 5*m(c) + n(c). Let t(q) = -2*j(q) - o(q). Determine t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180566 is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/10 - 83*j\/5 + 507\/10 = 0?\nAnswer: -169, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1350*m**3 - 2*m**2 - 3*m - 2. Let t be y(-2). Suppose -t = 4*g - 4*l, -g + 2*l + 2*l = 2696. What is g rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2872 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 11001?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -425 + 434. What is the remainder when 14 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36008 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -127. Suppose -6*y + 53 + r = 0. What is the third derivative of y*w**2 + 46*w**2 - 10*w**4 - 22*w**4 - 20*w**2 wrt w?\nAnswer: -768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 less than 74975174?\nAnswer: 74975305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932572?\nAnswer: 2, 83, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/43)\/l**4 assuming l is positive.\nAnswer: l**(-170\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 16 = 5*p + 50, 12 = -4*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0233891 and -0.4.\nAnswer: -0.00935564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 - 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -6168 (c) -1\/128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1690156 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**4\/2 + b**3\/6 + 2*b**2. What is the units digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {p: 1, z: 1, j: 1, q: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 119*j + 375. What is t(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.202 + 7.202. Let j = -7.39 - 0.91. Let d = 8 + j. What is the nearest to -1\/2 in -2, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488 * -1.6\nAnswer: 780.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 12*j - 10*j - 5*r, 5*j + 2*r + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 16 = 4*x, -5*x - 19550 = 3*g - 19527 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 57 = 17. Suppose 16*o + 8 = q*o. Suppose 0 = -0*y + 3*y - 45. Solve t - 6*z + y = -2*z, 3*z - 25 = -o*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 67 + 1045 = 0. Suppose d = 4*a + 90. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24393 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/a)**(9\/4)*(a**(-4\/11)*a)\/(a\/a**(-2\/15)*a))**(-22) assuming a is positive.\nAnswer: a**(-6437\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/120 + z**5\/10 + z**4\/24 - z**3\/3 + z**2. Let n be y(6). Find the first derivative of 5 - 3 + 0 - 5*b**n wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000233634 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2244 divided by -6.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -153, -424, -895, -1620?\n\"Answer: -9*v**3 - 19*v**2 - 5*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -14. What is the units digit of n*((-14)\/4 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 237880 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -253986\nAnswer: -254018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**3*n - 3*b**3 + b**2*n + 3*b*n**2 - 2*b + 271*n**2 + 804 wrt n.\nAnswer: -7*b**3 + b**2 + 6*b*n + 542*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*i = 412*i - 37280 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*j + 19 = -4*j, 4*j = -20. What is the derivative of -6 + 3 - 2 - 4*r**3 + x wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7199772 is divided by 722.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 239 + -194 - ((-6 - -1) + -5 + (-5 - -7))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 14*g**2 + 8*g + 2*g**2 - 8*g**2 - 5. Let h(m) = -2*m**2 - 2*m + 1. Give 9*h(j) + 2*u(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-4 + sqrt(5) + (sqrt(60)*-2)\/sqrt(12) + 5 + sqrt(180)*-1).\nAnswer: -1 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) - 4\/((-40)\/(-2)). Solve r*p - 12 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2715*c - 1583170 = 12081*c + 10739*c for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) - (-14)\/(-5). Let y be b\/(-2) + (-3)\/(-6). Let r(f) = 2*f**2 - 2*f - 1. Calculate r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s + 173*s - 605 = 101*s. Let p be 3\/6 + (-2)\/4. Suppose -12 = -5*t + 2*y, p - 1 = -t - y. Put 3, 7, t, s in decreasing order.\nAnswer: 7, s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-1085)\/(-4015)*-7. Let p = -12\/73 - k. Find the common denominator of 101\/50 and p.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/1020, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6, -a - 4*z = -5*a. Suppose a*w + c - 11 = -2*w, 5*w = 3*c + 35. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((1\/(-3))\/1). Let v be (-6)\/7*(-4)\/(-8). Let p = -1054 - -1049. Which is the closest to -2\/7? (a) o (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1418927347 and 753.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5115 (base 9) in base 7?\nAnswer: -13622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*r**2 - 35*r**2 - 2*r - 4 + 16*r**2 + 4*r**4 to o*r + c*r**3 + y + n*r**2 + i*r**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(0 - 2) + 4. Let x(h) = 5*h**2 - h. Let k be x(v). Solve k + 2 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-1 - 3 + 2) + 5 - 1 - 5)*(-19*i**4 + 7*i**4 + 10*i**4).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53616510, -107233020, -160849532, -214466046, -268082562, -321699080, -375315600?\nAnswer: -428932122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26a470 (base 14) to base 15\nAnswer: 1b55e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -46047, 4\/15, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 + 11*v**3 - 9*v**3 - 619*v**2.\nAnswer: -15*v**3 - 619*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 12*n**2 - 13*n - 11. Let r be l(13). Is -1\/3 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a724 + 17889?\nAnswer: 27502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 15115*b**3 - b + 9*b**2 + 5*b**2 + 10*b**4 - 15113*b**3 as j*b + k*b**3 + g*b**4 + a + z*b**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 52*q - 203. Give z(1).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -29*r. Let n be g(-1). Let v = -3219 - -9746\/3. Let t = v - n. What is the second biggest value in 3, t, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316354 is divided by 24370?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17334 - 31278. What is the units digit of r\/(-60) + 4\/((-20)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81518?\nAnswer: 2, 40759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 16*m + 93. Calculate the remainder when r(8) is divided by 101.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, c: 4, a: 5}. Give prob of sequence ca.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21399351.\nAnswer: 3, 7133117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-4)\/(-4))\/1. Suppose -3*y - 6 = r*q, -q + 3 + 7 = -5*y. Find the second derivative of q*a**5 + 6*a - 2*a**5 + 5*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -2. Suppose 0 = i + 4*m + w, 7*m = -3*i + 2*m + 10. Calculate the remainder when 37 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/33 - (-172)\/(-22). Let y = 11 + q. Suppose 6*n + 1350 = 60*n. Solve -u = -2*f + y*f + 5, 5*u + n = f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31305114 (base 6) to base 12.\nAnswer: 37b19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*a**5 + 2992*a**4 - 2992*a**4 + (0 - a**2 + 0)*(0*a**3 + a**3 + a**3).\nAnswer: -101*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 976609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 104 (b) -5 (c) 1\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32812, 32781, 32750, 32719, 32688?\n\"Answer: -31*m + 32843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.397 + -4.397. Which is the nearest to -0.2? (a) o (b) 0.5 (c) -1\/5 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/64*3\/(-5).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 20 + -41 + -4 + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 23 + 9 = -3*g, 0 = -4*g - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357854 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i\/(i*i*i**(-1\/3)\/i*i))*i*i)\/i)**(-1\/10))**34)**(-6) assuming i is positive.\nAnswer: i**(374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2911.1 - 3321.32. What is i rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*p**4 - 10967 + 10967)*(-2 + 2 - p) + (-4*p + 3*p - p)*(-p**2 - p**4 + p**2).\nAnswer: -143*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -113 - (4 + -7 + 1 + (9 - (3 + 16)))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 102006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-30))\/((-2)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12303113 - -11?\nAnswer: 12303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n**2 - 23*n + 321. Calculate the lowest common multiple of 30 and g(-15).\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l. Let u(b) = b**3 - b**2 - b + 5. Let y be u(0). Let q(m) = 2*m - y*m + 3*m + m. Give d(q(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/630 + b**6\/360 + b**5\/180 - b**4\/72 + 7*b**2. What is v in q(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.3 + 67. Which is the second smallest value? (a) 0.3 (b) 16 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/23)*b*b**(-1\/2))**(-37))**(-3\/7) assuming b is positive.\nAnswer: b**(8103\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -612\/443 (b) 2\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70372814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 79829 = -22671. Round f to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 o, and 1 u when four letters picked without replacement from zovooozzoovuvovm.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 3*d + 0*d + (0 + 3*d + 0)*(109 + 57 - 21)*(-1 + 2 - 2) to the form q + k*d and give k.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 8*d**2 - 5*d + 7. Suppose 28*x = -41*x + 15939. What is the remainder when x is divided by n(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 591463 (base 10) to base 12\nAnswer: 246347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2102, 16915, 57136, 135473, 264634, 457327?\n\"Answer: 2118*d**3 - 4*d**2 - d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (966\/(-115))\/((-72)\/(-80)) - -8. Let j = 0.32 - 0.02. What is the nearest to -2\/9 in j, g, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 31*w**8\/168 - 7*w**5\/15 + 30*w**2 - 2. What is the third derivative of y(q) wrt q?\nAnswer: 3720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 - -24) - -38?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5191 and 6496?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -20*v**3 + 11*v**2 - 32*v + 9. What is z(3)?\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 77*y**2 - 47*y**2 + 117*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1062 + 1906 = -14*q. Let s = -104 - q. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-5.429\nAnswer: 48.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*n - 2*c + 6, c - 5 = -2*n. Factor -n*w**2 + 3*w**2 + 2*w**2 + 0*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2918\/70 - 6*1. Let k = -177\/5 + x. Sort 1\/5, -1, k, 1 in decreasing order.\nAnswer: 1, k, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (-39 + 48 + -26)) + 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17782.14 - 17782. What is the fourth smallest value in -4, -36, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.4, -3, 0.1, 0.12 in increasing order.\nAnswer: -22, -3, 0.1, 0.12, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*q = -8, -5 + 15 = d + q. Suppose -7*o + 11*o = -d. Let r be (-132)\/(-21) + (-4)\/14 + o. Solve 0*x - 4 = r*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**7*h**7)\/((h\/h**4)\/(h\/(h\/(h**(2\/3)\/h*h)))))\/(h**(-1\/3)*h**(-3)*(h\/(h*h*h*(h**(2\/7)*h)\/h*h))**13) assuming h is positive.\nAnswer: h**(453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42189.12 litres to millilitres.\nAnswer: 42189120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100110 - 0?\nAnswer: 101101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -103. Let h = 2584\/9 - 286. Find the common denominator of 14\/u + 1356\/27 + -1 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 5)*(4*k - k - 2*k) + 10*k - 13*k + 9*k)*(k + k - 2*k**3 - k**3).\nAnswer: -15*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/13, 2.8, 0.4 in increasing order.\nAnswer: -11\/13, 0.4, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -611*p**2 - 199 - 293*p + 253*p + 613*p**2 in the form h*p + j + c*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -306*f - 2122. Determine k(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -4.\nAnswer: -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x - 4. Let s(r) = -24*r**2 + 5*r + 8. Let i(l) = -5*l**2 + l + 1. Let z(k) = -5*i(k) + s(k). Give -3*j(m) - 4*z(m).\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239436500.\nAnswer: 2, 5, 17, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1973 is divided by 999.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846\/4*32\/24*(-46)\/(-4)?\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*i - 116, -b + 5*i + 655 = 611. What is the lowest common multiple of 196 and b?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vvjjfjssjsfs.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 135641 - 514981. What is h rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = 0, 0 = -2*y + 12*z - 9*z - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/5 - 1012*z**3\/5 + 129026*z**2\/5 - 255024*z\/5 + 127008\/5 = 0. Calculate z.\nAnswer: 1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -54?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12104 - 12102. Solve -1 = q - 0*q, 2*l - s*q = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 31?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1431)\/36)\/(((-4)\/12)\/(8\/18)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*12\/(-30)*(1 + 1). Let k(s) = -s + 5 + 4 + s**2 - r + 7*s. Give k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1261*v + 1261*v + 68*v**2 to b + o*v**2 + l*v and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4453191 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccucccccucccccccc. What is prob of sequence ucu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1096\/8220*(23\/(-2) + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1729 + 2.1729. What is the nearest to 0.3 in v, -7\/3, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 20*q - 1 + 4 + 0 - 8*q. Let z(t) = t**3 - 5*t**2 + 6*t - 3. Let y be z(4). What are the prime factors of f(y)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t - 5*m + 67, 2*m + 15 = t. Let o = -11 + t. Calculate the common denominator of -125\/6 and 93\/o + (-4)\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**2. Let l(b) = 1395*b**2. What is l(o(k))?\nAnswer: 50220*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:09 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -676, -928?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(n**2 + 3*n**2 - 3*n**2) - 9*n**2 + 9*n**2 - 30*n**2 + 0*n**2 + n**2 + 0*n**2 in the form y*n**2 + l*n + u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, j: 1}. Give prob of sequence jhw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 4*l**2 - 3*l - 1. Let s be m(-2). Suppose 5*y + 4*t + 19 = 0, s*y + 2*t = -5 - 12. Let p be (1 - y) + 0 + 0. Solve 2 = 3*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-28)\/12 + 2). Let i = s + -10. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h + 26. Determine i(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20049*o + 1824*o**2 - 20049*o - 1939*o**2.\nAnswer: -115*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -2 - (0 + -5). Let v(g) = 59 - 32 + 4*g - 2*g - 34. Let r be v(o). Solve 0*l = -r*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 197 - 219. Let x be (-32)\/y - 4\/(156\/(-279)). Solve 3 = 2*z - x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9949999*c + 2. Let u(p) = p. Let k(y) = h(y) + 2*u(y). Suppose -m + 2 = 4. Let f be k(m). What is f rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 5*d**2 - 6*d + 1. What is u(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -0.4, 1, 0.192?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 1.8. What is the closest to -1 in 2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004335 to seven decimal places.\nAnswer: 0.0000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Let z(n) = 14*n**2 + 2*n + 3. Let g be z(x). Suppose g = -4*t - 189. Round t to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 1. Let d be q(7). Suppose -4*r + 3*u + 82 = 0, -4*u = 5*r + d - 114. Let p = r + -18. Which is the nearest to p? (a) -14\/5 (b) 2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(432))*3)**2 - (-4 + sqrt(432) + sqrt(432) + -1*sqrt(432) + sqrt(432))**2*3.\nAnswer: -1295 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1505)\/(-42))\/43)\/(10\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uusustutus. Give prob of sequence ust.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r - 20. Suppose -34*a = -r*a + 8. Suppose -a*n + 157 = x, -2*n + 46 = -4*x - 46. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/71 or 1?\nAnswer: 27\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 5. Let h be w(-3). Let v(o) = o**2 + o - 2. Let a be v(-3). Suppose -a*u - u = -h. What is the smallest common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43038, -43040, -43042?\nAnswer: -43044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13436.\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7898194?\nAnswer: 2, 3949097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 432543 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahjchjjc. Give prob of sequence ja.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3885?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q - 9. Let s(u) = 6*u + 6*u - 7*u + 9. Let p(x) = 2*x + 4. Let a(r) = 7*p(r) - 3*s(r). Determine 18*a(i) + 2*o(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (20 - -3 - 10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 6*d + 3*q = -12, -5*d - 13 = 4*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let o(f) = -7*f + 4*f + f + 4*f - 17*f**2. Give o(a(z)).\nAnswer: -68*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -11*a + 15*q + 249778, -a + 62473 = q. List the prime factors of a.\nAnswer: 62467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38331 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.6 and -0.5.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 3 + (0 - (-36 - -22))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5)*(36\/6 + -21). Let o be (-1 - -2)*(2 + 1). Solve b = -o, -4*i + b = -0*b + x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15802 - 9822. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2\/9 - 736*a\/9 + 1456\/9 = 0 for a.\nAnswer: 2, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, 5, 513 in descending order.\nAnswer: 513, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j - 118. Let y(s) = 3*s + 59. Let q(u) = -3*l(u) - 5*y(u). Let t be q(-19). Solve -t*x + x = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -163a7b - 0?\nAnswer: -163a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + j)*(-5*j**4 + 0*j**4 + j**3 + 3*j**4).\nAnswer: -2*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31696 divided by -4.\nAnswer: -7924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m + 3*m**2 + 0 + 1\/60*m**5 + 1\/3*m**3 + 11\/24*m**4. Let n be k(-11). Let o(u) = u**2 - 3*u - 2. Determine o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88463.\nAnswer: 88463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -69987 times 5?\nAnswer: -349935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3975*k**2*m**2 - 7*k**2*m - 371*k**2 wrt m?\nAnswer: 7950*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -9, 0.3, 4 in descending order.\nAnswer: 4, 0.3, -3\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -13. Suppose 0*l - 2*l - 6 = 0. Put y, l, 2 in ascending order.\nAnswer: l, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from {e: 3, f: 1, x: 1, m: 3, q: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 129 = 17*i + 134 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24804 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2. Let n(x) = -6 - 5*x + 2 + 4. What is n(u(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**7\/945 + r**6\/270 - r**5\/270 - 10*r**2. Find b, given that t(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12*(-8)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 + 3*f**4 - 2*f**4 - 3*f**4 - 2*f**4 + 3*f**4 + (f**2 + f**2 + 0*f**2)*(f**2 - 2*f**2 - f**2) + 12*f**4 + 3*f**4 - 5*f**4.\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*b + 91*b**3 - 36*b - 25*b.\nAnswer: 91*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -463.5318 to zero dps.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:41 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5886921 centuries?\nAnswer: 706.43052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-34 + 9) - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 5*d**4\/12 - d**3\/6 + 2*d. Suppose -v + 1 - 8 = 0. Let p(i) = i**3 + 8*i**2 + 6*i - 8. Let x be p(v). Give c(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35515 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 10. Let u be f(-8). Suppose -k + 20 = 3*k. Sort u, k, -4 in descending order.\nAnswer: k, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -1\/10*y**3 + 3\/100*y**5 + 0 + 1\/150*y**6 - 1\/5*y**2 - 10*y + 1\/60*y**4. Factor v(x).\nAnswer: (x - 1)*(x + 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -31\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7865 - -4\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*1)**2 - (sqrt(52)\/sqrt(4) + -1).\nAnswer: -sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 2*a**2 - 2*a + 1. Let h be w(-2). Solve 0 = h*s - 5, u = -u - 2*s - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 4*j**4 + 0*j**4)*(1669 + 1 - 385).\nAnswer: 2570*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580056.223 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*s**2 - 57*s**3 + 16*s**3 - 27*s**2.\nAnswer: -41*s**3 - 126*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - k + 2*k)*(-2 + 2*k + 0*k + 4) + 2*k**2 + 0*k**2 - 3*k**2 to the form p*k + h*k**2 + d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*k - 91*k**2 - 143*k + (2*k**2 - 2*k**2 - k**2)*(0 - 2 + 1) + 2*k**2 + 3*k - 3*k + 8*k**2 - k**2 - k**2)*(0 - 2 + 1).\nAnswer: 82*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*i + 41, 4*r + 14 = -i - 10. Let u(m) be the third derivative of m**5\/60 + 7*m**4\/24 + 2*m**3\/3 + m**2. Calculate u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 - 20*f - 70. Determine b(-5).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031488, -1031472, -1031446, -1031410, -1031364, -1031308, -1031242?\nAnswer: -1031166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - 4*sqrt(60) - sqrt(60))\/sqrt(4) - sqrt(15))\/(sqrt(35)\/sqrt(252)).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -31*d + 0 + 37\/6*d**3 + 4\/21*d**7 + 0*d**4 + 0*d**6 + 0*d**5 + 0*d**2. Find the second derivative of f(h) wrt h.\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78174251287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 - v + 1. What is the smallest common multiple of y(3) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/((-20)\/5)*(-12 - 1170\/(-91))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 39\/4 (c) 0.7 (d) -2 (e) 209\/5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h**2 + 21*h - 102. Let g be m(-15). Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56027, 2\/67, -0.5?\nAnswer: -56027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:41 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:20 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5067 divided by 410.\nAnswer: 5067\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-89 - -88) + 4 + -3 + 1 + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 1 + 2*x + 2*x)*(-1 + 0 + 0).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/13 - 6572*g**3\/13 + 4150506*g**2\/13 + 2159844032*g\/13 - 2163987968\/13 = 0.\nAnswer: -331, 1, 1808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.284 - 0.274. Which is the closest to -4? (a) u (b) -2 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/657316 and -16\/7?\nAnswer: 4601212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80\/21 + 11\/3. Let n = -2377.1 - -2377.09. Which is the third smallest value? (a) 0.4 (b) n (c) r (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5108*d**2 - 4*d + 3. Let u be v(1). Let c = -2386 + u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + b + (b - 3*b + b)*(-3 + 4 - 3) - 8 + 8 + 8*b)*(-11 - 8 + 9) to s + q*b and give q.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)*(0 + 1). Suppose 3*h = 8*h - 20. Put h, -5, u in increasing order.\nAnswer: -5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*i**2 - 2*i**4 + 192*i**2 - 1 - 3*i**3 - 19*i in the form j*i**3 + s*i + m*i**4 + h + r*i**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + 0)*123\/(-492). Let d(n) = 13*n**2 + 5*n + 6. What is d(h)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g - 2*g**2 - g**3)*(-5 + 15*g + 5) as r*g**4 + l*g + o*g**2 + h*g**3 + u and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q)**(-1\/5)*(q**15\/q)\/q**(1\/2) assuming q is positive.\nAnswer: q**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((-4 - -6) + -1 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/15 and -109\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n*(n**6\/n)\/n*n)\/n))\/n**(-4\/17) assuming n is positive.\nAnswer: n**(-81\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/17? (a) 0.4 (b) -3 (c) -5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-1 + 3*sqrt(11) + 4)*3)**2 - ((5 + sqrt(1584) + 3)*4)**2).\nAnswer: -25401 - 2910*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + g + 70 = -0*g, 4*n = g + 95. What is the lowest common multiple of n and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + -3 + (-5 - -10) - 20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 574814*j**3*q**2 + 22*j**3*q - 10*j**3 + 2*j**2*q wrt q?\nAnswer: 1149628*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - z + 7*z - 3*z. Let n(u) = u - 1. Let g(q) = l(q) + 5*n(q). Differentiate g(p) with respect to p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Solve 5*b = 3*b - 3*q + u, -q = -3*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6 + -a2362?\nAnswer: -a2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 + -0.2. Let q = d - -7.6. Let f be ((-2)\/5)\/(2\/10). Which is the second biggest value? (a) 1\/9 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 23. Calculate m(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vkffkkffvkvvkkf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1797 + 1796.8. Which is the third smallest value? (a) m (b) 2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 1. Suppose 5*i - k = 5. Suppose -i = 4*n - 22. Let d(s) = -s**3 + 4*s**2 + 3*s + 4. Calculate d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.2 (c) -9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314198.8 days to minutes.\nAnswer: 452446272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*a + 4023 = 349*a. Solve -3*p - 32 = 4*f, -152*f + a*f + p - 11 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11608.53788 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r + 2. Let j = 20 + -11. Let m = j - 20. Let y = -6 - m. Determine v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.585 * -0.05652.\nAnswer: 1.4460642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1155 and 2805.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46594 (base 11) in base 6?\nAnswer: 1235214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 383 - 383.0001055. What is n rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226021, -452041, -678059, -904075, -1130089, -1356101?\nAnswer: -1582111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21371, 85446, 192245, 341774, 534039, 769046?\nAnswer: 1046801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y + 25 = 0. Let u = y - -8. Let s(m) = 2*m**2 + 133*m + 1087. Let n be s(-57). Which is the nearest to 0.01? (a) n (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -372632.592 + 372360.592000128. Let t = 272 + i. What is t rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 34*y**2 - 12*y - 44. Calculate h(-2).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b + 1. Suppose -3*h - 34 = -2*u, 2*u + 3*u = -2*h - 29. Let g be 74\/h - 2\/(-12). Give l(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 0*o**4 + 0*o**4 - 2*o**4 - o**4 + o**4 + (0*o**3 - 6*o**3 + 4*o**3)*(-2*o - 2*o + 2*o) + 2*o**4 + 0*o**4 - o**4 + 9 - 9 - o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w - 50 + 50 + (-2 + 2 + 2*w)*(4 + 2 - 4) + (2*w - 4 + 4)*(6 - 3 - 1) to the form d + p*w and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 47 times 0.5\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-42)\/(-40) + 1 - 2 and 27\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 - 34. Let b = -4 - -25. Calculate the remainder when h is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11663607*k**3 - 3*k**2 + 724902 wrt k.\nAnswer: -69981642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -39. Let h be 34\/s - (-1)\/6. Solve -7*f = -h*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 1 + -2 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**3\/h*h)\/h)\/(h*h**(2\/9)*h))\/((h*h\/(h\/((h**1\/h)\/h))*h*h)\/h)**(-14) assuming h is positive.\nAnswer: h**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 25, 0 = -0*x - 5*x + 4*d + 40. Let b = 64 - 53. Suppose 85 = x*v - b. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/506 and -57\/368.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(45\/2)*(i**(-1\/6)\/i)**(-33) assuming i is positive.\nAnswer: i**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -8. Let z = d - -7. Suppose 46 = 4*k + z*u, -4*k + 2 = u - 45. Calculate the smallest common multiple of k and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/420 and (-96 - 21)*2\/(-112).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11288436 by 6.\nAnswer: 1881406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 75, -1819, 0, -40 in ascending order.\nAnswer: -1819, -40, 0, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + 20*y - 15. Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + 3*f**2 + 2*f**2)*(6 - 2 - 3) + (f - 3*f**2 - f)*(-11 - 13 - 193) in the form u + p*f + x*f**2 and give x.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 10. Let g be 16\/9 + c\/126. Suppose 52 = 2*b - 5*o - 110, -8 = g*o. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00241986 rounded to 5 dps?\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**4)\/f)\/(f*f*f**(1\/33)))\/(f*f*f*f*f**12\/f)**48)**(-12) assuming f is positive.\nAnswer: f**(95836\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10167 divided by -9?\nAnswer: -3389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 37 + 91*v**3 - 90*v**3 - 67.\nAnswer: v**3 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (41\/((-4797)\/26))\/(4\/(-3))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.32 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19604 greater than 0.0788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26926 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -4*l, -2*l - 3 = -5*a - 1. Let k = 424 - 431. Let h be (10\/k)\/((-86)\/301). Solve h*y - 15 + a = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**3 - 292*g**2 - 79*g - 1004. Give v(49).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:12 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. Let d be g(3). Let x(w) = 12*w - 17*w + 5*w**2 + 4*w. Let h be x(d). Solve -3*o + 4*o = 5*u + 17, 5 = u + h*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40302120 divided by -6385?\nAnswer: 6312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/5 + 24*m**4\/5 + 62*m**3\/5 - 76*m**2\/5 - 24*m + 112\/5 = 0.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 839818 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-7))\/(3 - 4). Let l = 179\/28 - b. What is the common denominator of l and -40\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -4, 414, 4 in descending order.\nAnswer: 414, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**(-2\/5)))**34*i**(-1\/3)*(i\/(i**(-4)\/i))\/i)**(9\/11))**(2\/137) assuming i is positive.\nAnswer: i**(-1416\/7535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -3*w**5\/20 + 6*w**2 - 14. Let y(d) be the second derivative of t(d). Let p(l) = 3*l**2. What is y(p(n))?\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + v = -56, -n - 2*n = 3*v - 57. Suppose -424 = -0*x - 4*x + 4*p, -3*x = 4*p - 311. What is the greatest common divisor of x and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8383?\nAnswer: 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h + 72. Let k(t) = 12*t + 78. Let u(f) = -12*k(f) + 13*z(f). Let p(l) = 7996*l. Determine u(p(w)).\nAnswer: -7996*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:46 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2 - 7*p - 2. Let s be ((-10)\/(-6))\/(3\/(-9)). Let t be g(s). Suppose 5*l = 272 + t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:11 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p, 4*m + 0*p = -3*p + 5. Let o = -138 + 605\/4. Let d = o + -13. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 + -13077370.15.\nAnswer: -13077372.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 100.1. Let t be 2 + -2 + (-1)\/(-3). What is the nearest to x in t, -1, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c78c7 (base 13) to base 6.\nAnswer: 11412534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678634 is divided by 169652?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1*sqrt(363) - (-4 + sqrt(3) + sqrt(3)*2 + sqrt(3) + sqrt(3)))**2.\nAnswer: -120*sqrt(3) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -0*z. Suppose -19*b + 421 = 60. Suppose 0 = -7*f + b*f + 36. Sort -1, -4, f, z in descending order.\nAnswer: z, -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 28.27, -5, -11, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -93b0c6 - 44?\nAnswer: -93b12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/46 (c) 18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*1 + -1*(sqrt(153) + sqrt(153)*1) + sqrt(153))\/((sqrt(324) + sqrt(324)*-3)*-5).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*t = -423*t - 337*t - 25732 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12258571 take away 0.10475?\nAnswer: -12258571.10475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*a + 16, 5*a - 4*m = -9 - 14. Let s be a\/(-2)*10\/3. Let b(g) = -1 - 3*g + s - g. Determine b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70480, -67741, -63180, -56803, -48616, -38625, -26836, -13255?\nAnswer: 2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/((-10)\/(-5)))\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)*(43 - 1). Let s be (-42)\/(-189) + (-520)\/(-9). Let p = s - u. Calculate the lowest common multiple of 18 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ittj when four letters picked without replacement from {i: 1, j: 3, t: 3, m: 4}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.601683 millimeters to meters.\nAnswer: 0.001601683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/330 and 79\/2?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y**3 + 65*y**2 - 1714*y + 6027. Let n(q) = -8*q**3 - 32*q**2 + 856*q - 3012. Let s(w) = 4*h(w) + 7*n(w). Factor s(v).\nAnswer: 4*(v - 6)**2*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 268 = -17*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -3 - 10\/(-15)*-750. Let f = 790 + l. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/15 and 37\/242.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -23*f - 323. Determine p(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/19 - 202652*z\/19 - 4457376\/19.\nAnswer: -2*(z + 22)*(z + 101304)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -587 by -587.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {a: 4, r: 2, h: 2, d: 4, b: 1, p: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from pmpppplqppqpqpp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)\/c**(-7))\/(c**(-2\/7)*c)**(-28))**(8\/11) assuming c is positive.\nAnswer: c**(1528\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -112 - 14. Let n be 2*1*s\/126. What is the nearest to -0.1 in 0.033, n, 0.3?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -31*s**2 - 12*s + 27. Let o(g) = -37*g**2 - 13*g + 32. Let k(c) = -6*n(c) + 5*o(c). Suppose -1 = 3*a + 2. Let j be a*(3 - 2)*5. What is k(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/33 and 26\/(-39)*67\/12*1.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 4, i: 7}. What is prob of picking 1 j and 1 b?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m**2 + 9*m + 20. Let q be a(-3). Suppose q*z + 37 = 1357. Calculate the remainder when z is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -77231*l. Let y(v) = -30*v. What is o(y(r))?\nAnswer: 2316930*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -45, -59, -75?\n\"Answer: -q**2 - 9*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/4 - 31107*p**4 + 186649*p**3 - 497739*p**2\/2 - 746595*p\/4 + 559953\/2 = 0?\nAnswer: -124434, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -293 + 1765. Let l = q + 92. Solve 5*h = -l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/7)\/(n\/(n\/(n*n**(-1\/4)))))\/(n**(1\/4)*n**(3\/2)))\/((n\/(n*n*n*n*n**(-1)*n*n*n*n)*n)**(-2\/61))**(1\/8) assuming n is positive.\nAnswer: n**(-3329\/1708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 7. Calculate the smallest common multiple of v and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*k = -1697, 3*x + 2*k = 6049 - 974. Suppose -1683 = -4*l + 3*t, -11*l = -7*l - 5*t - x. List the prime factors of l.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**7*v)**(-3))**5 assuming v is positive.\nAnswer: v**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873625107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53248.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -50. Suppose -36 = -k*t + t. Let l(w) = 2*w - 6. Let c be l(t). Calculate the highest common divisor of c and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91724 divided by 45862.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7013.\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.58002512629 and -0.02.\nAnswer: 0.56002512629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2003 and 9\/15276881.\nAnswer: 15276881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 0*l)*(0*l + 2*l + 0*l)*(2*l + 0*l - 3*l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccl when four letters picked without replacement from llcllllccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2148 rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*d + 16 = -498*d + 2*i, d + 37*i + 69 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = 0, -138*f + 141*f - 5702 = -k. Calculate the highest common divisor of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 224084 and -2.\nAnswer: 224082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*t**5 + 22*t - 22*t + 26*t**5 + 30*t**5 - 44*t**5 + (-3 + 3 - t)*(-t**2 + t**2 - 2*t**4).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 133, 319, 503, 685?\n\"Answer: -m**2 + 189*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.24 - -26. Let j = -2.24 - o. What is the nearest to -1 in j, 3\/5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 558382017.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 + 142*k - 729. Calculate c(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2717 and 169026?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(60\/18)*(-1)\/(-39)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -2. Let k(g) = 4297*g + 19. Let r be k(2). Is r\/(-18)*i\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2079, -2, -4, 1, -92, 5, -5 in descending order.\nAnswer: 2079, 5, 1, -2, -4, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 733.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - -2)\/(4\/12). Solve 4*a - 5*j - x + 9 = 0, 14 = 5*a - 2*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3501 + -3217. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2 - 3) + 3 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.297166346 rounded to 3 dps?\nAnswer: -0.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(432) + 2)*-4 - -5*(-1 + sqrt(432)) - 5*5*(2 + (sqrt(432) - -2*sqrt(432)) - sqrt(432))))**2.\nAnswer: 74088*sqrt(3) + 1041201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - -5. Calculate the smallest common multiple of c and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suujium. What is prob of sequence sj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7596 divided by -6\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1235 - 1241.51. Round o to one dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52 and 53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 3969?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f = -45*f - 135. Suppose -2*y + 38 = -104. Calculate the remainder when y is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfccfcccccc. What is prob of sequence cf?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5 - 6 + 45*d.\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 684 - 675. What is the units digit of (11 + -14)\/(c\/(-3120))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.087518495 and 4.298659.\nAnswer: 4.386177495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 86806*t - 86805*t = -12, -14*w - 3*t = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 8*l. Let c be u(-5). Find r such that -24*r**2 - 8*r**4 - 3*r**2 - 22*r - 32*r**3 - 4 - c*r**2 = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3 + 1 - 4 - 1. Let z(q) = -4*q**2 + 3*q + 6. Let t(c) = 3*n(c) + z(c). Let f be t(3). What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4901611254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -i - 572, -5*k + 0*k - 2*i + 1439 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.8. Let l = -498.5 + 498. Let n = 12 - 12.1. Sort n, l, s.\nAnswer: s, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 76 = -92. Let n be 10\/35*x + 34\/(-8). Sort n, 1, 3.\nAnswer: n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84176 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3254401849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 10 = 74. Does 25 divide i\/(-8) + (7378\/(-4))\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521031 divided by 7\nAnswer: -74433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75537 + -2?\nAnswer: 75535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -153, -241, -363, -519, -709?\n\"Answer: -17*h**2 - 3*h - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.036 - -4.436. Let u = p + -4.7. What is the nearest to 0 in u, -3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.9228 - 0.0772. What is the closest to -6 in -4, m, 4\/3, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 408594, 408592, 408590?\n\"Answer: -2*c + 408596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:48 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*i, i - 5*i + 8*i = -3*f + 9*i + 71 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 7 = -2*v, 8*j + 19 = 13*j - 4*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28*(24\/(-8) - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 49*h**2 + 18*h + 143. What is b(24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22245 and 77220.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 20*f**2 + 3588*f + 10761. What is g(-3)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3003*q**3 - 5407*q**2 + 18*q. Let m(x) = -751*x**3 + 1350*x**2 - 4*x. Let h(y) = 2*a(y) + 9*m(y). What is the third derivative of h(o) wrt o?\nAnswer: -4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 8*b + 2. Let g be j(-3). Suppose -g*k + 1095 = -0*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-414)\/(-184))\/((-3)\/(-32)). Suppose -5*p - 25 = 0, 3*s - r*p = -20*p + 29. Calculate the greatest common divisor of s and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*i + 12, -5 = 4*p - 21. Let t be (0\/(12\/3))\/i. Solve t = 3*v - v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17345?\nAnswer: 5, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -762 - -783. Let i(q) be the first derivative of 2*q**2 + 13*q - 3. Is i(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2434 (base 6) to base 5\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 26 - 31 + 47*u**3 - 5*u**3.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -4.4. What is x rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314244 and 51536016?\nAnswer: 51536016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000281675 to 6 dps.\nAnswer: 0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6667745?\nAnswer: 5, 7, 190507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 16*q**2 - q - 2. Let z be h(-2). Let o be ((-45)\/(-20))\/(12\/z). Which is the biggest value? (a) 1\/3 (b) 1 (c) -0.2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 5*c**3 + 2*c**3 + 2*c**3 - 4*c. Let k = 6 - 3. Suppose -2*t - 3*i + 12 = 0, 0 = -k*t + i - 2*i + 4. Calculate z(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8614*p + 2873*p + 2871*p + 2871*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10*f - 240 = -8*k, -4*k = f - 120. Let x = -15 + 23. Suppose -g - x = -3*g. What is the remainder when k is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112212643*m**3 - 56106284*m**3 - 56106361*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 2282*g + 2. Let x(f) = 9*f**2 + 4552*f - 4. Determine -7*v(d) - 3*x(d).\nAnswer: d**2 + 2318*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b - 21*b + 24*b)*(4*b - b + 5*b).\nAnswer: 224*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 28*a**2 - 27*a - 16. Let b be w(-29). Let r be 74\/b + 8\/1. Solve 7*h - 6*h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 93*g. Let m(n) be the third derivative of 4*n**2 + 1\/12*n**4 + 0 + n + 0*n**3. Calculate m(h(c)).\nAnswer: 186*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7927765147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10156 and -346.\nAnswer: 9810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -438, -876, -1338, -1836, -2382, -2988?\n\"Answer: -2*g**3 - 424*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 24*c**2 - 16*c**2 + 57 - 7*c**2. Let b(n) = 19*n**2. Calculate b(s(r)).\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/5)*i*i\/(i*i**(-6)\/i*i)*(i**(-2\/9)*i)**(9\/8))**(-37) assuming i is positive.\nAnswer: i**(-14023\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/10 - 82683*b**4\/10 + 744687*b**3 - 22346010*b**2 + 223487100*b = 0.\nAnswer: -82773, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3693 - 0.64616476\nAnswer: 3692.35383524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/10771375 or 0?\nAnswer: -2\/10771375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:26 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 27 - 3*b**2 + 0*b**2.\nAnswer: -3*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44689 and 1856.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*h = -h - 12, -2*c - 16 = -4*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4, 0*l - 193 = -l + p. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*l + 126*l + 26 - 2 as v*l + o and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(28\/(-266))*16. Solve -307*v + b*v = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, 3, -3 in ascending order.\nAnswer: -24, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*k**2*x - 6*h*k**2 + h*k + 30*k**2*x + k*x - x wrt k.\nAnswer: -4*h*x - 12*h + 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(8\/5)*k*k*k**(-1\/8)*k assuming k is positive.\nAnswer: k**(179\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 29, -4, -1\/4.\nAnswer: -4, -1, -1\/4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*w + 33*w + 31*w)*(-w - 2*w + 2*w) in the form i*w**2 + d + y*w and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-4)*114\/(-24624)*-48.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/8)\/((-29282)\/42592)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*c + 154*c - 5*f + 53, -2*c = f + 70. Sort 5, -2, c, -5 in decreasing order.\nAnswer: 5, -2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l**2 + 4*l**2)*(5*l + 3*l - 6*l)*(0*l**2 + l**2 - 2*l**2).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2492 - 2522) + (1 - 15) + (-1 - -1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 3*k**3 - 2 - 23*k**3 + 0 as x*k + i + v*k**2 + b*k**3 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from oooooeeooeeoe.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13541 is divided by 589?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (54 - 30) + -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304))**2 + 2 - (-1 + sqrt(304)).\nAnswer: -4*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2231823 divided by -743941\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17992?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*u + 316*u + 210*u = 3834 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:37 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + sqrt(704) + 0)*-1 + 6*(sqrt(704) + -1) - (3*(4 + (sqrt(704) - -3*sqrt(704))))**2)*3.\nAnswer: -304578 - 6816*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:06 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -33*d**2. Suppose 2*b - 4*b - 4*h = -170, 0 = 2*b + 2*h - 172. Let c(q) = b + q - 87. Determine c(n(g)).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59939945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 3918160 = 8773543. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 + 0.03. Suppose -2*p + 3 = -p. Suppose 3*l - 5*s + p - 6 = 0, -l = 3*s - 1. Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312 - 178. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*p - 84*p - 200 = 0. What is the highest common divisor of 55 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:12 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18248, -36344, -54314, -72158, -89876?\nAnswer: -107468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310*t + 1315*t - 26 = -3*l, -4*t - 2*l = -20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429, 414, 397, 378, 357, 334?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.70077115.\nAnswer: -2.8030846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:39 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -99. Calculate the remainder when 42 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660517111 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 1. Let d be g(-2). Suppose 0 = -d*m + 4*m - 2*n - 13, 0 = 4*m - 5*n - 37. Solve -y = -2 - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20145 + -141014\/7. Let z = 0.3 + -0.2. Let h = z + -0.2. Which is the third smallest value? (a) 2 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1892, 1838, 1726, 1538, 1256, 862?\n\"Answer: -3*f**3 - 11*f**2 + 1906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - u - 2. Let m be n(1). Let q(x) be the first derivative of -13*x**m - 9*x**5 - 10 - 39\/2*x**4 + 0*x - 3*x**2. Let q(s) = 0. Calculate s.\nAnswer: -1, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 444*t - 13*t**2 - 34 - 444*t wrt t?\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.6619 nanograms in grams?\nAnswer: 0.0000002816619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4c - -937?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -335 - -7365\/22. What is the common denominator of y and 59\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a02 (base 11) to base 10\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.05042 rounded to 1 decimal place?\nAnswer: 49.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121616170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63450 - -2215.\nAnswer: 65665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v + 30. Solve -v*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1954. Let i(a) = a**2 + a + 2. Let k(q) = -8*q**2 - 6*q - 12. Let o(c) = 6*i(c) + k(c). Determine y(o(u)).\nAnswer: -2*u**2 + 1954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 4, p: 6}. What is prob of picking 2 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343 + 0.048.\nAnswer: -342.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393568 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83379435 is divided by 173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:31 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (3 - (-8 + -3) - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 4*h**5 - h**5 + (-3*h + 3*h + h**3)*(-h**2 + 0 + 0) + h**5 + 0*h**4 + 0*h**4 + (4*h - 4*h - 5*h**4)*(-20*h - 17 + 17).\nAnswer: 95*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 3*t + 15*t**3 - 5*t.\nAnswer: 15*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10421 - 2?\nAnswer: -10423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185*g**2 + 179 - 71*g**2 + 131 - 70 wrt g.\nAnswer: -512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(80) + 0 + (sqrt(80) + 0)**2 + sqrt(80)) - (5 + (sqrt(150)\/sqrt(5))\/sqrt(6)*3)) + 2.\nAnswer: 5*sqrt(5) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - 1043542?\nAnswer: -1044043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9209867 + 2*u**3 - 9209867.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 8*q - 10704 = 0. Suppose 11*s - 7*s = -q. Is s\/((2\/18)\/((-4)\/12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11139 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 - (-928)\/24)*21\/2. Let l = 1007 - j. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c6 + -3?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4869, -19484, -43841, -77940, -121781, -175364?\n\"Answer: -4871*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28155 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*z - 159*z = -141*z + 494320. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.21, 33, -0.2, 1, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 13) to base 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) + (-1953)\/(-36). Suppose -k - 5*k = v. What is the tens digit of 20254\/182 - (k\/(-7) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870242731.\nAnswer: 19, 5527, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.95. Let k = -0.15 + b. Sort 5, -4, k in increasing order.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -74 (b) 3 (c) 1\/4 (d) 15 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 0 = 0. Suppose -c + 60 = g*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(18)\/sqrt(3)))\/(-1*sqrt(363)) + 1 + 1.\nAnswer: -sqrt(7)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) -3 (c) 0.2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -11*t - 90. What is the derivative of 13 - t - 22 - 12*j wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130732111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 23. List the prime factors of m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/15 + 4*m**4\/3 - 40*m**3\/3 + 3*m**2 + 11. Let y(h) = 0. Calculate h.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591726 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: What is 45705 divided by -15235?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4491475 or 4491470?\nAnswer: 4491475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*t + 8 = 0, -p = 2*t - 4 + 1. Let m = -11\/56 + 15\/14. Is p smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-2)\/(-6)*51\/(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Suppose 4*i - 8 = g + 10, f*i - 14 = -2*g. What is the smallest common multiple of 4 and 1976\/91 - g\/(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62205 and 2508?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717, -2816, -6255, -10986, -16961, -24132?\nAnswer: -32451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012759 to seven dps.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (272\/(-24))\/(-17)*-4. Is 3 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 4*j - 44. Let l = -228 + 219. Let o be q(l). Put o, 5, -11 in increasing order.\nAnswer: -11, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 6. Let v be m(-3). What is the highest common divisor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50, 3.5, 14 in ascending order.\nAnswer: 1, 3.5, 14, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, 188, 1694, 4622, 9446?\nAnswer: 16640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20010, -20023, -20022, -20007, -19978, -19935, -19878?\nAnswer: -19807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 1332?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {i: 4, f: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y + 13. Let k be (2\/3)\/(1\/9). Let h be g(k). Let u = h + -34. Solve -3*m + 2 - u = 2*l, -3*l = -5*m + 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in 5, 1\/3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 33*t**2 + 16*t + 29. Let a be f(17). Let n = 110 - 74. Calculate the highest common factor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3432 divided by -104\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 7*y**3 - 77*y - 1199571 + 1199571.\nAnswer: 7*y**3 + 4*y**2 - 77*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 152?\nAnswer: -23\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 12*d**2 + 2*d - 18. Let k = 1 - -11. Let f be o(k). Suppose f*a - 7*a + 51 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*v - 11, -2*n = -n - 5*v - 13. Let k(q) = 2*q - 5 + 2 + 2. Let o be k(n). Solve -o*h + 0 = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 divided by 263?\nAnswer: -317\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -166*i + 1009. List the prime factors of v(-25).\nAnswer: 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1087, 2141, 3195, 4249, 5303, 6357?\n\"Answer: 1054*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 5. Let g be b(3). Let s = -4 + g. Is 437 + (2 - s) + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15612787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 581436*k**4 - 430*k**2 - 46*k + 2.\nAnswer: 13954464*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3502\/5 - 28021\/40. Which is the closest to 11? (a) -0.4 (b) -0.3 (c) 10 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/2483? (a) -9 (b) 1.9 (c) -0.5 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38222*g. Let s(t) = -3*t - 1. Determine s(x(f)).\nAnswer: -114666*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 7*u + 17)*(-u - u + 0*u)*(15*u**3 + 48*u**2 - 48*u**2).\nAnswer: 210*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/9)\/(-25*(-25)\/148125))\/((-2)\/(-3)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 48 = 5*f + 56, 0 = -3*m + 3*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 3*j - 9. Let o be w(-5). Solve -11 - o = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -62. Which is the biggest value? (a) 0.1 (b) -1\/9 (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w - 4*n - 304 = -69*w, -4*n = 4*w - 656. Let d = -18 + 34. What is the highest common divisor of d and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 3*x + 2. Let w be a(-3). Let b = w - 5. Solve k + b = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803513511.\nAnswer: 3, 6569, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3391, -3388, -3385, -3382?\nAnswer: -3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 15*b - 26. Determine o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 2 + 1 + 1.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.05626km to nanometers.\nAnswer: 41056260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 93285308.011 and -0.5.\nAnswer: 93285307.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/30*-16)\/((-4)\/10)*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023294 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 973698 and 1029161.8?\nAnswer: 55463.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjvvvggvvjjbwvvwj. Give prob of picking 2 v, 1 w, and 1 g.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330*c + 48 + 242*c - 110*c + 57*c**2.\nAnswer: 3*(c + 8)*(19*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 - d - 21. Let v = 21 + -15. What is the units digit of z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.193, 4, 5, -46.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2441?\nAnswer: -2450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 9. Give r(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14272 and 3020089.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - 0.1. Suppose 3*c = -2*s + 21, 0 = -c - 0*c - 3*s + 14. Put c, p, -1 in descending order.\nAnswer: c, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 1, a: 9, t: 2, x: 1, n: 2}. What is prob of sequence ut?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137349 and 185787?\nAnswer: 945098469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 5*v - 3. Let y be j(-5). Let m(a) = -5*a. Is m(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1145*r**2 + 1030*r + 19775190 wrt r?\nAnswer: -2290*r + 1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31323 is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22805 + 22859. Solve -z*v = -62*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7112370 to the power of 1\/2, to the nearest integer?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -311, -363, -447, -575, -759, -1011?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and 890134129611.\nAnswer: 890134129610.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.443 times 0.3?\nAnswer: -0.1329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -39700000 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -260 - -233 - (-1 - 6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 318*s + 18. Determine a(53).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733504851?\nAnswer: 13, 133346527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2. Let j(d) = 308*d. What is j(w(f))?\nAnswer: -924*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10993137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*x**5 - 9*x**3 + 58819*x**2 + 325689091*x wrt x.\nAnswer: -2880*x**3 - 54*x + 117638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 77, 108, 151, 206, 273, 352?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*p**2 - 3 - 2*p - p**2)*(-1 - 4 + 6)*(2 - 5 + 1).\nAnswer: -4*p**2 + 4*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-210) + 4*(-8)\/80.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1482798283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**3*j - 13*a*j**2 + 884*a + 1183298*j**2 wrt a?\nAnswer: -12*a**2*j - 13*j**2 + 884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 4939*c**5\/60 + c**4\/24 + 4*c**2. Let w be y(1). Suppose -3*h + w = -h. Round h to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 51 = 5*r, 3*r - 2*m = -m - 30. Calculate the smallest common multiple of 22 and (-147)\/(-14)*(-24)\/r.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1050*m**2*q**3 + 3*m + 21*q**3 - 2*q**2 + 23*q wrt m.\nAnswer: -2100*m*q**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 38*y**2 + 190*y + 73. Give n(32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121021 + 2102021210?\nAnswer: 2101200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -10*f + 8*f, f = -3. Let p be 46795 + (1 + u - -2) + -1. Round p to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 5*g + 2*g)*(-5 + 2*g + 5) - 91 + 8*g**2 + 91 - 4 - 2*g**2 - g**2 + 5 + (g + 2*g - g)*(-g - g + 4*g) as w + c*g + l*g**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/5)\/((-6)\/1245) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4 - (-45209)\/(-97242)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -25. Suppose f*m - 26*m = 16485. List the prime factors of m.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(7\/42)\/(2\/9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20112201020121 (base 3) in base 8?\nAnswer: 15211335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - 3.99. Let d = -26068\/65145 + 2\/13029. What is the third biggest value in d, -2\/61, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112044 + -1231261\/11. Let x = 111 - z. Let k = 135 - 133. Sort k, -0.2, x in decreasing order.\nAnswer: k, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 89 = -2*r. Does 14 divide r\/4*(-10 - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*x**2 + 119*x**2 - 141*x**2)*(x**2 + x**2 + x**2) + (-x**3 + 0*x**3 - x**3)*(1 + 2*x - 1).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*i**3*j + 19*a*i*j*y + 55*a*i*j + a*i*y + 6*i**3*j*y + i**3 wrt y.\nAnswer: 19*a*i*j + a*i + 6*i**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrroororrroo. What is prob of picking 2 r?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/315 - -38\/63. Let a = -3.2 + -0.8. What is the closest to 1 in 2\/13, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 78 - 497*h)*(0 - 2 - 6)*(4 - 1 + 0 + (2 + 4 - 5)*(-2 - 1 + 2)).\nAnswer: 7952*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6061*w - 3445*w - 2228*w + 1914*w - 1 in the form i + d*w and give d.\nAnswer: -9820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 1 - 7*f + 6*f + 2*f - 3*f - 9*f**4 as v*f**3 + a*f**4 + k + s*f**2 + d*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 95. Calculate the highest common divisor of 60 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 3721.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*i + 2 = 0, -7743*i + 7748*i = 3*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 358*s + 21. Let m be f(0). Solve -o - 8 = 5*p + 4, -m = -4*o + 3*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i. Let m(u) be the second derivative of -u**3 - u**2 - 67*u + 3. Calculate m(p(f)).\nAnswer: 36*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:24 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6172 - -6176. Let p(z) = -11 - 2*z**2 + 8 + z + 22. Let b be p(f). Let i(q) = -q**3 - 10*q**2 - 9*q + 5. Determine i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164164798?\nAnswer: 2, 7, 43, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-2)\/16). Let l(k) = k. Let x be l(-2). Let w(v) = v**2 + v + 2. Let f be w(x). Is c <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + -1 + -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 23*x + 1960. Calculate the remainder when 999 is divided by n(-85).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/95 (b) -0.8 (c) 1252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.24 - -83. What is w rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(-49 - (-57174)\/1170).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + f - f)*(1 - 2 + 4) + 10 - 10 + 5*f + (-3 + 0 + 1)*(-13*f + 9*f + 17*f) as d*f + l and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35481959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - (8\/28 - (-19)\/7). Let y be 8\/(-12) + 7\/15. What is the closest to -0.3 in o, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + -2*sqrt(200)*-6)**2 - (sqrt(8)\/sqrt(4)*-3 - (sqrt(128) + 2 + sqrt(2)))).\nAnswer: -172812 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1, -703848.84?\nAnswer: -703848.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 28. Let i be ((-7)\/v)\/(3\/(-6)). Let y(l) = -l**3 - 8*l**2 - 8*l - 5. Let c be y(i). Solve -4*u - 10 = -5*r, -c*u + 3*r - 6 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a = 3*g - 94, -4*a = -3*g - 170. Let x = a + -25. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402*o - 5 - 4 + 11 - 2 to the form m*o + h and give m.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 - 93. Which is the closest to 2? (a) -5 (b) d (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.73 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4596 and 1308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*t - 6, -6*t - 3 = j - 3*t. Suppose j*n = 4*n + 64. What is the remainder when 63 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 11.3?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 15 - (-1 + 0)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001242136 rounded to 7 dps?\nAnswer: -0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g**(1\/2))\/g))\/(g**(-1\/3)*g))\/(g**(1\/2)*g)**(3\/4))\/((g**(-2\/5))**13\/((g\/(g*g\/g**(-1\/8)))\/(g\/((g**5\/g)\/g)))) assuming g is positive.\nAnswer: g**(287\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42519 times -2?\nAnswer: -85038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -965 - -1675.3. Let w = d + -744. Let x = w - -33. Sort x, -2\/13, 0.5 in decreasing order.\nAnswer: 0.5, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -328, -324, -322, -322, -324, -328, -334?\n\"Answer: -l**2 + 7*l - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33750 divided by 750.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.3 (c) -0.1 (d) -0.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 59. Let d = -44 + p. Suppose -3*m + 4*y = m - 36, 0 = -d*m - 5*y. What is the smallest common multiple of 12 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/3, -0.2, -1, 81?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a**5*x - 33*a**2*x**3 - a*x**2 - 25*a*x + 18*x**3 wrt a.\nAnswer: 280*a**3*x - 66*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*y = 2*n - 8, -6 = 2*n + 3*y. Suppose -5*r - 18 - 7 = n. Let h be (4\/r)\/(1\/(-5)). Solve f = 5*f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**2. Let j(m) = 2607*m. Give j(q(a)).\nAnswer: 26070*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 9*q**2 - 6*q**3 - 8*q**3.\nAnswer: -14*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = 3*b, 0 = 404*f - 824*f + 418*f - 5*b - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.13 (c) -3 (d) 26 (e) -0.3 (f) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 + 19)*(-26*o**5 + 4*o**5 - 37*o**5) + 2*o**5 + 4*o - 4*o.\nAnswer: -1768*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: fd (base 16) to base 15\nAnswer: 11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 358, 540, 720?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let k(y) = -2182*y. Determine z(k(g)).\nAnswer: -4761124*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001450373776 to 7 dps.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*r - 89*r = -190*r - 180 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (-33 - -40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**2 - b - 2. Determine y(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 3*d = 10*s - 4, s - 11 = 5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = -8*w + 13*b - 116, -8 = 6*w - b + 2 + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 0.05467578?\nAnswer: 1.94532422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*q + 10, 17 = -6*q + 2*q + k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226589, 226598, 226615, 226640, 226673, 226714, 226763?\nAnswer: 226820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 12*r**2 + 22*r**2 to the form j*r + t*r**2 + b and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 21 = -219. What is the remainder when 129 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 17*w**2 - 7. Let z(h) = -2*h**3 + 18*h**2 + 9. Let g(p) = -4*s(p) - 3*z(p). Let u be g(-7). Let j = -0.4 + -0.2. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 - 53 = -63*n - 170 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:14 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 226 = 3*k, -k - 1044 = -4*i - 62. What is the remainder when 507 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.159\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 565759 plus 82.29?\nAnswer: 565841.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*j = -10*d + 61, -d + 5*j + 23 = 0. Solve -3*k + 5 = 2*r, 2*k - d = 5*r + k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 9) in base 12?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 3*a**2 - 2*a + 3. Let r(t) = t**3 + 4*t**2 - 3*t + 4. Let w = 8 - 5. Let s(x) = w*n(x) - 2*r(x). Determine s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(405) + 2 - sqrt(405))**2 + -1 + 3) + 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b\/b**10))\/b))\/b*b\/(b\/(b*b**(-2)\/b)))\/(b**(-2\/9)*b**(2\/67)) assuming b is positive.\nAnswer: b**(-5914\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13102666 divided by 19?\nAnswer: 689614","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 305694375.\nAnswer: 2445555000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 238658*r - 36 = -238655*r, 2*a + 6 = -4*r for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 77, -3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.8994 millilitres in litres?\nAnswer: 0.1338994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62940.03ms in seconds?\nAnswer: 62.94003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 250*-5\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2\/3 + 1060*y\/3 = 0. Calculate y.\nAnswer: -265, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.07 (b) 0.4 (c) 2.7 (d) 3 (e) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1278*g + 395. Is i(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245384 and 21554?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3237\/9730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(-3 + 1 - 3)*(-4 - 2 - 3)*(1 + 1 - 4)*(2*a - 6*a - 3*a) in the form j*a + v and give j.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-228)\/354*11 - -7. Is 0.1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 105576854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 8:57 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 74?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -3 + 9\/2*v**2 - 6*v. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**6\/21 + 4*k**5\/35 - 4*k**3\/21 + k**2\/7 + 3. Solve x(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*m = 95*m - 393*m - 6320 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -399\/1088 or 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/6 - (-2)\/8. Let z = 50 + -16. Let t = -38 + z. Which is the nearest to -2\/5? (a) 1 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 57*m - 11*m + 1 - 16*m - 28*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 392 = 3*t - y, 12 = 3*y. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/16 + 2\/8. Suppose -19*d = -12*d - 140. What is the third derivative of -5*w**5 - 2*w**p - d*w**5 - 11*w**2 + 4*w**5 wrt w?\nAnswer: -1380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*6*(-10)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 6*o - 24. Let c be m(9). Suppose 4*p + c*b - 1180 = -0*p, -5*p + 2*b = -1452. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:38 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -29, 1\/8, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131720208 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1342*p - 16. Does 50 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1606144?\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 89\/2, 1\/6, -3, 23\/2, 0.6, 2\/15, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*d + 23. Let w be -9*(-2)\/3 + -2. Suppose 3*q - 5*t = 28, -4*q + w*t = 27 - 67. What is the least common multiple of q and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(1 - (-27)\/(-15)). Solve 6*x = t*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 26 = 32*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2669 and 3571907?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from vzhtvtvnhhvg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 17 = 5*m, x - 3*m = -6 + 17. Let h be (x\/(-5))\/(6\/10). Let r = -0.4 + 0. What is the smallest value in h, r, -3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 634109730.7 to the nearest 100000.\nAnswer: 634100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -78064\nAnswer: 1\/19516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -153. Suppose 2*m + 5*h + 62 = 0, 5*m + o = 5*h - 34. What are the prime factors of (-2)\/4 - m\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*h**2*z - 4*h**2 - 9175*h*z**4 + 7044*h wrt z?\nAnswer: -9*h**2 - 36700*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 31*u - 42. Let g be (2 - (-2 + 24)) + -2. Let f be x(g). Let c = -143 - f. Calculate the remainder when c is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Suppose a*x - 150 = 4*z - 9*z, 3*x - z - 82 = 0. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1418 - 457 + 2*s + 0*s + 0*s + 1308 as c*s + h and give h.\nAnswer: 2269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/3*(7 - -54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15352 and 59\/28.\nAnswer: 107464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -672 + 673. Let d = 26 + -10. Solve 3*f - o = -d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:52 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12385 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46639599 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21444430 (base 5) to base 9\nAnswer: -315162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/12 - l**3\/3 + 3*l**2\/2 + 14*l + 5. Let d = 3 + -1. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 20 = -2*m, 0 + 4 = 3*m + 2*y. Let p = 11 + m. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 + -13)*(-9 - (-2)\/(-1)). Let l be (-11)\/z*8\/(-1). Suppose 0 = l*d - 45 - 371. Are 51 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8800, -17799, -26798?\n\"Answer: -8999*k + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-31)\/(m\/(m*m\/(m\/(m\/m**(-1\/9)*m))*m))*m**34\/(m*m**(1\/4)) assuming m is positive.\nAnswer: m**(175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.252 (b) 0.5 (c) -10 (d) -0.6 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5304 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7463 = -91*x + 7554 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = 0, -21 = -3*z + 2*z + 2*r. What is the second derivative of -9*i + 15 - 9*i**2 - z - 8*i**2 wrt i?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/(-93)*24\/64*(-60)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-24))\/((2\/1)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 3*s + 14. Let q be v(10). Let r = 445 - q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 96. Is 4*g\/10*-120 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, -9, 17, -4\/11, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9133000 or 9133010?\nAnswer: 9133000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -115 - -1*(-4 - (4 - 3)). Let d = p + 209. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:50 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + t = -3 + 2, -4*j = -5*t - 32. Sort j, -6, -3 in increasing order.\nAnswer: -6, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**2 + 3. Suppose 6*l - 5*l = 3. Let y(d) = -l*d + d - 2*d - 4*d. Calculate b(y(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 73 - 369 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - sqrt(121)*-2)*4*-4)\/(sqrt(176)*-4 + (sqrt(1100)*2 - sqrt(1100)) + sqrt(1100) + sqrt(11)).\nAnswer: -48*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -267*w**2 - 1276*w - 188. Give k(-4).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3*i - 63. Suppose -10*m - 48 = -18*m. Solve -3*k + m = i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from hwtwyw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let u be w(1). Let s(v) = 13*v + 131. Let o be s(-10). Suppose 18 = 3*i - 2*l + 4*l, 3*i + 3 = 5*l. Solve -i*b - o = u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**5 + 6*w**3 - 11*w + 6. Let d(u) = -31*u**5 - 17*u**3 + 32*u - 17. Let b(a) = -6*d(a) - 17*l(a). Find the second derivative of b(z) wrt z.\nAnswer: 320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.06\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.096949 to 4 dps.\nAnswer: 0.0969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**6\/120 + 2*u**5\/15 + u**4\/4 - u**3 - u**2. Let i be p(-7). Let s = -11\/2 - -23\/4. Is s bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) - 8\/3. Let m(y) = -3 + 6*y - 2 + y**2 - 4 + 6. Let x be m(g). Do -13 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71566 = 1865*v - 25568 - 314558. Let z(a) = a**3 + 8*a**2 + 5*a + 6. Let n be z(-6). What is the greatest common factor of n and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.018?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 minutes before 11:13 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = 3*o - 266. Calculate the highest common factor of o and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.7 and -452.5654422?\nAnswer: 455.2654422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.154878 rounded to 2 dps?\nAnswer: 4.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 45*q**2 - 126*q + 7. Determine d(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26640 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 132, 8, -1 in descending order.\nAnswer: 132, 8, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -8)\/(-3) + 2. Suppose d + 5 = -4*r, 4*r + v*d = -5*d + 7. Let o = r + 33. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 13 - 5. Suppose 6 = 5*l - t - 3, 4*l - b*t = 4. Suppose -5*y - l = -3*y. Let a(q) = 7*q + 1. What is a(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + t**2 - 12 - 3*t**2 - 20 - 9.\nAnswer: -2*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (21\/(-4))\/3. Let q = -0.2 + 0.2. Which is the nearest to q? (a) 0.2 (b) k (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 21. Let n(h) = 9. Calculate -11*n(p) - 4*s(p).\nAnswer: 4*p - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1510843 (base 9) to base 6\nAnswer: 25512450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -129 + 12\/(4824\/49714)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((38\/4)\/19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.218 times 18?\nAnswer: 39.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5767108 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.0648.\nAnswer: -0.01296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21582 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -611*z**2 + 18*z + 6. Let g(k) = -3*k - 1. Determine -b(y) - 6*g(y).\nAnswer: 611*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 2*k - 5*k)*(-3*k**3 - 3*k**3 + 5*k**3 + (112 - 17*k - 112)*(0*k + 2*k**2 + 0*k)) as a*k + u*k**3 + m*k**2 + c*k**4 + s and give c.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 9*r**2 - 13*r + 11. Let b be p(-7). Let j be -1*7 + 1 + -2. Let m be 14\/(-4) + (-4)\/j. Is m at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8358.644kg to nanograms.\nAnswer: 8358644000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/m**5)\/m*m*m*m**(-12)*(m**(1\/3))**(-6) assuming m is positive.\nAnswer: m**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**5 - 3*b**4 + 1386*b**2 + 61190*b?\nAnswer: -100*b**3 - 36*b**2 + 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 - v + 2*v**2 + 7*v**3 + v**2 + (-3*v + 5*v - 3*v)*(12 - 12 + 14*v**2) + 1961 - 79*v**3 - 1961 to j + z*v**2 + b*v**3 + k*v and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/84395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1*-1)\/1. Suppose 899*x + 72 = 923*x. Find the third derivative of 23*c**x - 3*c**2 - 4*c**m - 23*c**3 - 12*c**3 wrt c.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 - 2*j + 22. Let y(t) = 9*t**2 - 4*t + 43. Determine 5*c(a) - 3*y(a).\nAnswer: -2*a**2 + 2*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/4))**(4\/7)\/((o**(-1\/3)\/o)\/o)**(-1\/6))**39)**(6\/5) assuming o is positive.\nAnswer: o**(-403\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54636, -437066, -1475090, -3496506, -6829112?\n\"Answer: -54633*w**3 + w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - ((-2 - 7) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14772192 by 6.\nAnswer: -2462032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1681 divided by 3.\nAnswer: 1681\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 2721 = 13*g. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x + 14. What is s(6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 - 9*m - 13 + 61 to b + c*m and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47872 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -8 + (-64 - -20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 30 = -4*w, -13247*r + 13246*r = 4*w - 11 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77223 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6785 + 6785.2. What is the closest to 1 in j, 2\/5, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52993, 53037, 53081?\n\"Answer: 44*c + 52949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 46*j**2\/7 + 48*j\/7.\nAnswer: -2*j*(j - 1)*(j + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6377261mm to kilometers.\nAnswer: 0.0000006377261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15.8 in -1, -4\/5, -3.8, 5, -0.066?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:10 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)*(-5 - 105\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 8995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 331589546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:07 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15491 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 37 = -58*w - l, l + 9 = -w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 4*d**2 - 4*d - 2. Let o(s) = s**3 + 7*s**2 - 8*s. Let v be o(-8). Suppose v = p + 2. Let z be k(p). Solve -3*y = -z*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3496737um?\nAnswer: 0.0003496737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 14 - 6 - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 5, -598, 4.\nAnswer: -598, -182, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/396 + a**5\/110 - a**4\/132 + 2*a**3\/3 - 2*a. Let n(j) be the second derivative of i(j). Factor n(k).\nAnswer: -2*(k - 1)*(5*k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*y - 2*l - 14, 0 = -y - 2*l + 1. Let p = y + 5. Suppose -u + 3*s = -27, 5*u + p*u - 4*s = 146. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1307\/3 - 568. Let g = 133 + r. Let u = 1 + -2. Which is the nearest to u? (a) g (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*l**3 - 135*l**3 + 255*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 1140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 3191 - 219 = 0. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (190 + -208) - 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 33*o**3 - 3*o**2 + o**2.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*y**3 - 5*y + 9*y + 548 - 4*y - 550 + 188*y**3.\nAnswer: -13*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -81. Let q = 23 + j. Solve -5*x = q*a, x + 2 = -a + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**3 + 6*f**2 - 6. Suppose 6*w - 3*w = -3. Let h = -5 + w. Let u(d) = 17*d**3 + 13*d**2 - 13. Give h*u(n) + 13*a(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*v**3 + 699*v**2 + 80*v**2 + 238*v**3 - 471*v**3 wrt v?\nAnswer: -2538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 190*n**3\/11 + 580248*n**2\/11 - 1779138*n\/11 + 110052\/11 = 0. What is n?\nAnswer: -3057, 6\/95, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-3) - (1 - -2))*27. Solve 3*t - l = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1336, 30, -47 in increasing order.\nAnswer: -47, -0.1336, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/16)\/(3\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/12*1*80\/6. Suppose -q = 3*q - 84. Let o = z + q. Let w(s) = -5*s - 1. Determine w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220222 + 111012?\nAnswer: -102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*b - 44*b - 103*b)*(0*b - b - b)*(0 + 267 + 186).\nAnswer: 150396*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 30 = -k. Let i = k + -7. Suppose -50*m = -41*m - 36. Solve -i*x = -m*b + b - 6, b - 2*x - 1 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40553514*j*o + 57*j + 59124 wrt o.\nAnswer: 40553514*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15*-2)\/(20\/50).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.4. Let l = 6 + -4. Let j = 5 - 4. Sort b, l, j in ascending order.\nAnswer: b, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:43 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 19. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/108 and -16\/1107?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, i: 2, d: 1, s: 3, r: 1, z: 1}. What is prob of picking 1 r, 1 s, and 1 i?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 19*k**2 + 158*k - 24. What is the thousands digit of i(47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-3)\/(-18)). Suppose -t + 7 = y. Suppose -3*k = 3*p, t*p - 3*k - 9 = -23. Put p, 0, 1 in ascending order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*h**2 + 0*h + 0*h - 548*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)*-4 - sqrt(70)) + sqrt(70) - 2*sqrt(70)*3)\/((sqrt(1000) - 1*-2*sqrt(1000)) + -4*(sqrt(1000) + 2*sqrt(1000))).\nAnswer: 7*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4978663 <= -4978665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -2. Let y(p) = p**2 - 25*p - 12. Let i be y(0). Let m(z) = -3*z**2 - 34*z + 15. Let v be m(i). Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*b*q**3 + 6*b*q**2 - 6*b*q + 254703*q**3 - 2*q**2 + 4618*q wrt q?\nAnswer: 192*b + 1528218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 11*m + 2. What is o(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 8 (c) 18 (d) 0 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*(4 + -3 + -2). Suppose 0 = 5*s - 5 - z. Suppose 4*r + 20 - 1 = -3*w, -s*r = -3*w - 59. What is the second biggest value in w, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23637 (base 11) to base 6\nAnswer: -421333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1310 + 2481. List the prime factors of z.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h. Let c(g) = -12*g. Let m(k) = 5*k. Let l(w) = -4*c(w) - 10*m(w). What is l(f(i))?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 9. Suppose -123 = o - 4*i + 3*i, -2*o + a*i - 244 = 0. What is the remainder when o\/(-4) - 2\/8 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19988*0.4.\nAnswer: -7995.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058338 to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 35 = -13*j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316760 times -3\nAnswer: 950280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13627055168*j**2 - 13627055168*j**2 - 9*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -188755.766 and 0.5?\nAnswer: 188756.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - 2*f**3 + 613*f**2 + 13*f**2 + 2*f as o*f + t*f**3 + a*f**2 + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 389*w**3 - 379*w**3 + 4*w**2.\nAnswer: 10*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.056 in -7, -0.3, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 - 9. Let x be w(0). Let r = x + 18. Let p be -6*(0 + (-18)\/4). What is the greatest common factor of r and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 4*d**2 - 4*d**2)*(-10*d**2 - 600*d - 13*d**2 + 697*d) as h*d**4 + b*d**3 + l*d + w + m*d**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 85584599 to the power of 1\/2, to the nearest integer?\nAnswer: 9251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/55, -3, 0 in ascending order.\nAnswer: -3, -2\/55, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 37*u**2 - 38*u + 31. What is o(-36)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -16. Suppose x*a = -a + 15. Suppose 1295 + 680 = a*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1602957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 2 (c) -2\/7 (d) -2 (e) -134 (f) -25 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2161971 and 308853.\nAnswer: 2161971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*o + 6, -128*a + 123*a = 4*o + 8. Determine j, given that 3*j**4 + 3\/2*j**3 + 0*j + a - 3\/2*j**5 - 3*j**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s**2 - 2*s. Let v(k) = k - 5. Let i be v(8). Let l be n(i). What is the third derivative of -l*t**2 - 5*t**6 + 6*t**6 + t**6 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73685412, 147370825, 221056238, 294741651, 368427064?\n\"Answer: 73685413*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-q + 3*q - 4*q) - 310 + 310 - 21*q - 6*q + 0*q + 2*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 - 5175188*d\/9.\nAnswer: 2*d*(d - 2587594)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1560 (c) 2\/13 (d) -3 (e) 2 (f) 182.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y**2 + 0*y**4 - 10\/3*y**3 + 20\/7*y**7 + 0*y - 8 + 0*y**5 + 0*y**6. Find the third derivative of o(v) wrt v.\nAnswer: 2400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 187025132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 36 - 43 + 79.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 8*w**2 - 28*w - 1. Let c be z(11). Calculate the greatest common divisor of 288 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p + 30. Let l = p + 30. What is the remainder when 27 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/286*13 + (106589 - 0 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:26 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 1. Let x be m(1). Let a be ((-3)\/(-6))\/(x\/90). Is 9\/15 + (-13416)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2\/7 - 122*z\/7 + 248\/7 = 0.\nAnswer: -124, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*d = 167*d - 205. Let h(z) = 20 + d*z + 15*z - 13*z + 65*z**2 - 63*z**2. Determine h(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1972428 divided by -4.\nAnswer: -493107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223446\/1745 - -87\/349. Let l = -127 - j. Find z, given that 18\/5*z**2 + 0*z - l*z**3 - 6\/5*z**4 - 8\/5 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1. Let o(f) = -f**2 - 3. Suppose q + 1 = -4*s, 0 = 2*q - 4*s - 39 + 5. Let x = -8 + q. Calculate x*y(k) + o(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -325c7 (base 13) to base 12\nAnswer: -44865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14059003\/199593 - -82492\/993. Let l = 318\/67 - g. Calculate the common denominator of l and -5\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2337538 = 725*m - 711*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 8. Give q(20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*8361\/7432.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354074 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 9*v + v + 0*v - 6*v**2. Let k(a) = -a**3 - a**2. Let z(n) = j(n) - 4*k(n). Let x(p) = 9*p**3 - 5*p**2 - 9*p - 1. Calculate -2*x(l) + 5*z(l).\nAnswer: 2*l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597763 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -399.6605 + 0.2605. Let u = 363 + t. Round u to 0 dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/2 (b) -0.502 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 27*p**2 - 3*p - 86. Let r be (1\/15*81)\/((-2)\/10). Let j be x(r). Let a = 0.7 + -0.2. What is the fourth biggest value in j, -1\/3, -3, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52372323.\nAnswer: 3, 43, 135329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4 + (0 - 1 - 4)*(2 - 5 + 2) + 1 - 2 - 1 + 3 - 4 + 0)*(10*u + 11 - 11).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13. Let v(k) = -76*k**3 - k. Let n be v(w). Calculate the greatest common factor of 22 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 1312076 = 408140. Let h = -418551 + f. Let t = h + -86476. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82\/9? (a) 3\/5 (b) 0.114 (c) -12 (d) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*j + 1980 + 3578 = -1404 for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*-1*(sqrt(363) + 1)*1)**2.\nAnswer: 88*sqrt(3) + 1454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -15. Let y = c + -12. Let l(a) be the third derivative of -a**6\/120 - a**5\/15 + 5*a**4\/24 - a**3 + 5*a**2. What is l(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 13. Let b be (3 - l\/(-3)) + -3. Is (4 - 1)\/(b\/(-12)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoztb. Give prob of picking 1 a and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155460225?\nAnswer: 3, 5, 1361, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 5, t: 2}. Give prob of picking 1 u and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -30)*(-3)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xss when three letters picked without replacement from xsbeebbexxbsbsebbq?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30962108, -30962109, -30962110, -30962111, -30962112?\nAnswer: -30962113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 1 - -144*(2 - 4). Let r = l + 503. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 11, 8?\n\"Answer: -3*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 1925\/70)\/((-14)\/112)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594810, 594819, 594828, 594837, 594846?\nAnswer: 594855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-28))\/(a*a*a**(3\/17)*a*a))\/(((a*(a*a*a\/(a**(-20)\/a)*a)\/a*a)\/a)\/a*a)**(-22) assuming a is positive.\nAnswer: a**(8820\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -1\/12*q**6 + 0*q + 0*q**5 + 1\/2*q**4 + 0*q**3 - 6*q**2 + 0. What is the second derivative of r(w) wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 151*x**3 - 4*x**2 + 4*x - 4. Is w(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*7*-1 + 1. Let j(c) = -2*c - 7. Let f be j(n). Suppose -2*t + 4*t = f*d - 5, -12 = 2*d + 2*t. Is d less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2585717 rounded to 1 dp?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23998277.\nAnswer: 461, 52057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312177610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326556\/(-1995620)*((-1)\/1)\/((-9)\/390).\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31241 is divided by 284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*q - 1363, -1363 = -p + 41*q - 36*q. What is the remainder when p is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 - 599 = 5*b. Suppose -12 + 32 = -o. Let x be o\/3*375*b. What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 0.2 (c) -2\/11 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195477313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 20. Let a = 19.1 - x. Is a != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000070288 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1\/33, -1\/3 in ascending order.\nAnswer: -1\/3, 1\/33, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 10:31 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*b - 4*j - 85, 0 = b + 5*j - 64. Find the common denominator of (-45)\/(-2)*(-9)\/b and (7\/(-9))\/(4\/(-8)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 6*t**2 + 5*t. Let o(d) = -d**3 + 5*d**2 - 4*d. Suppose 4 + 41 = -3*j + 5*m, -5*j + 5*m = 65. Let l = j - -4. Give l*o(z) - 5*s(z).\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24691\/32 + 773. Find the common denominator of (42\/42)\/(1\/(-9)) - 681\/(-96) and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/5 - 6*c**3 - 9*c**2\/5 + 96*c\/5 - 12 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176935435 to the power of 1\/2, to the nearest integer?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 4. Let l be k(-5). Let s = -8 - l. What are the prime factors of (-169)\/s + 4\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -162, -359, -634, -987?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1049, -1046, -1043, -1040, -1037, -1034?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 13*l**2 - 4*l + 14. What is the least common multiple of 22 and r(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 183 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 4:26 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*j**2*x**4 - 290062*j**2 + 293*j*x**4 wrt x.\nAnswer: -552*j**2*x**3 + 1172*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -19*v - 1800. Give a(-89).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(sqrt(156)\/sqrt(108) + sqrt(13)) + -6*(sqrt(13) + 0) + (-1 + sqrt(65)\/sqrt(5) - sqrt(13)))**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 - 3952771*i**4 - i**3 - 55098*i**2 - 7729*i wrt i.\nAnswer: 180*i**2 - 94866504*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20297 - 8115 = 870*z + 1571*z - 87899 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15426479?\nAnswer: 197, 78307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5985?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 158b7 (base 14) to base 15\nAnswer: 10e60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13718594 - -29518594. Round n to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - m)*(2*m**3 + 4*m**3 - 3*m**3).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*u - 39 - 69, 3*u + 3*a = 132. Suppose -79 = -4*z + v + u, 5*z - 149 = 4*v. Suppose 30 = 3*d - z. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562763.\nAnswer: 3, 520921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 18299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 10. What is the remainder when (18 - 1)\/(-15*9\/(-135)) is divided by l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01800866309 to 4 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 9*g = 4*g - 80, 2*k - 163 = 4*g - 107 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 2. Let y(k) = 13*k - 5*k + 4 - 7*k. Let z(c) = -2*l(c) - y(c). Let n(x) = 4*x - 7. Determine z(n(s)).\nAnswer: 4*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 4*f + 4. Let a be b(-6). Let m = 10 + a. Suppose -18 + 4 = -m*p. Solve -4*c - p = 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13384 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31ca (base 15) to base 9\nAnswer: -15411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9410 - 9340. What is the closest to m in -1, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3 + 2*f**2 - 4186*f - 4855.\nAnswer: -3*f**2 + 4*f - 4186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4760)\/64 + (-12)\/(-32). Let s = v + 76. Differentiate p**3 + 3*p**3 + 0*p**2 - 2*p**3 - 11 + s*p**2 wrt p.\nAnswer: 6*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14\/2831 + 173615\/186846. Find the common denominator of f and -79\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 35*d**2 + 368*d - 10105. Let i(x) = -66*x**2 - 745*x + 20212. Let f(w) = 6*i(w) + 11*m(w). What is the derivative of f(h) wrt h?\nAnswer: -22*h - 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/6 - 7*j**3\/6 + 14*j**2\/3 + 80*j\/3 = 0. What is j?\nAnswer: -8, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + 85. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 - 4*z**4 - 70*z + 8*z**4)*(z - 2 + 2 + (3*z - 3*z + 2*z)*(4 + 0 - 2) - 18 + 18 + 39*z).\nAnswer: 88*z**5 - 3080*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*r - 2*r + 1 = 3*f + 10, -3*f - 209*r = 833 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.786 - 1.16. Let f = k - 0.054. Let a = f + 27.5. Sort -2\/5, -3, a.\nAnswer: -3, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 38.37. Let n = 48.03 - 48. Let q = n - u. Put q, 1, 0 in descending order.\nAnswer: 1, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.33 + -8.43. Which is the third smallest value? (a) -1 (b) v (c) 4\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 230, 236, 244, 254?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 23*n + 250. Let g(m) = -11*m - 127. Let i(a) = -5*g(a) - 3*o(a). Find the first derivative of i(p) wrt p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -29. Let c = 26 + w. Solve c*o - 3*o = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33612204 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Suppose -3*l + o + 15 = 0, 13 = 2*l - 3*o - g. Calculate the lowest common multiple of l and -2 + 3 + 1 + 18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -7*r**5\/30 - r**4\/24 - r**3\/6 + 9*r**2. Give b(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 + -129.4. Suppose 0*q - 3*q - 27 = 0. What is the smallest value in o, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 47617*s**2 + 0*s + s + 4366*s**2 + 3 + 2*s. Let a be k(-3). Let o = a - 837841. What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 12*t - 34. Let j be m(8). Let o be (7 - 4)*4\/(-8)*j. Determine z, given that -3*z**4 - 18*z**2 - 77*z**3 + 95*z**o + 3*z**2 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 214, 69, -134, -395, -714?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 278, 429, 596, 785?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 16*t - 88*t. Is 15781\/t + (-36)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82973 and 627.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.71655m?\nAnswer: 1716550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*n - n + 26 = 0, 2*w - 4*n = 4. What is the smallest common multiple of 44 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:04 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 6*q**2 - 8*q + 7. Let j(b) = 2*b + 6. Let i be j(7). Let f(a) = -11*a + 79. Let k be f(6). Let y = i - k. Give v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2169 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13 - 4 - k + k**3 - 7*k**2 + 0*k**3. What is the units digit of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -79\/1021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfkkkfffp. What is prob of picking 1 p, 1 f, and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*m**2*r**4 + 12*m**2*r**3 + 60799*m**2 - m*r**2 + 12*r**4 wrt r?\nAnswer: 1080*m**2*r + 72*m**2 + 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.3 (c) -614 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -463259 at most as big as -463259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1162064 (base 9) to base 3\nAnswer: 1012002002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + 1 - 8 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -6*u. Let z be (-2)\/(-6) + (-22)\/(-6). Let c(m) = -6*m**2 - m**3 - 6*m + u*m - z - 3. What is c(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*y = -90, -4519*t - y - 20 = -4520*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 986767414 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -18. Let b(m) = -20*m**2 - 8*m - 8. Let x(y) be the first derivative of 7*y**3\/3 + 3*y**2\/2 + 3*y - 5. Determine p*b(h) - 8*x(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 4. Let n(t) = -t**2 + t + 3. Let d be n(0). Suppose -9 = 3*h, -d*h = -k + 11 - 2. Let z be -1*5*(k + -1). Calculate o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.1. Let q = -0.6 + r. Let h = q - -0.7. Which is the closest to 0.1? (a) 4 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -c2fa?\nAnswer: c2fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568226408 divided by -46.\nAnswer: -12352748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/5 - 4\/10. Suppose 0 = 2*g - 0*g - o. Solve g*p + 16 = 3*p, -8 = -4*d + p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 336*s*v**3 - 5215*s + 23*v**3 with respect to v.\nAnswer: 1008*s*v**2 + 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*k - 64 = 0, -5*k = -5*n - 2*k - 67. Let a be 1*-57*(-4)\/12. Let v = n + a. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41538?\nAnswer: 2, 3, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 870.\nAnswer: 2\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + 0 - (1835 - 1914)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 4038 and 8221 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232021 (base 5) to base 7.\nAnswer: 33310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 3953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 15*z + 7*z + (z - z - 2*z)*(-3 + 3 + 1) - 4*z - 6 + 6 - z - 1 - z - z)*(1 - 1 + 5*z).\nAnswer: 40*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 < 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383*d**2 - 2*d - 3*d + 4*d + d to the form y*d + a + n*d**2 and give n.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*j**3 - 9*j + 9*j + 240*j**3 + 257*j**3 - 755*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 25\/(275\/44)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.67 + 6.67. What is the smallest value in l, -2\/7, 3\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - 120.9. Let x = 2286496646 - 2286496768.9999933. Let o = n - x. What is o rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*w**2 - 469*i - 897*w wrt w.\nAnswer: 4*i*w - 897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 + 9. Let o be g(-5). Suppose 4*m = 7 + o. Suppose -52 = -6*u + m*u. What is the remainder when 77 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/31)\/f)\/(f\/((f\/(f*f**(-5\/11)))\/f)) assuming f is positive.\nAnswer: f**(-890\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011175 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31521 is divided by 1567.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14755?\nAnswer: 5, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(80) - (sqrt(13) + sqrt(91)\/sqrt(7) + -3) - -2*(5 + -1*(sqrt(13) + 2)))**2.\nAnswer: -135*sqrt(13)\/2 + 4221\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*(-726)\/605\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**4\/12 - 2*o**2. Let p(c) = -2*c**2 - 5*c**2 + 4*c**2. Determine p(f(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 172\/127?\nAnswer: 172\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 84234789+15\nAnswer: 84234804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275 + -202 + (2 - 57)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o**2 - o. Let i(l) = 29*l**4 + 6*l**3 - 6*l**2 - 6*l - 42. Let f(n) = 6*g(n) - i(n). What is the derivative of f(k) wrt k?\nAnswer: -116*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*(w**1*w)\/w*w)\/w*w*w)**(-11)*w**(-4\/11)\/w*w**2)**(1\/6) assuming w is positive.\nAnswer: w**(-299\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*h**2 + 22*h**4 + 44*h**2 + (-3*h + 5*h + h)*(3 - 3 + 3*h**3) - 118*h + 118*h - 10*h**4.\nAnswer: 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 9. Calculate the remainder when (-2*59)\/(m + -1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 1 + 1)*(-5 + 3 + 1)*(0 + 4 - 5) to the form j + n*d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-107)\/92 - (-1170)\/936\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130418 - 130417.6. Let j be 8\/(-15) - (-2)\/6. What is the biggest value in j, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 35869.2028?\nAnswer: 35869.2028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r. Suppose d - 22 = 3*b, 0 = 10*d - 5*d + 2*b - 144. Let o(j) = -14*j + d*j - 12*j. What is g(o(i))?\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8995823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112061 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20305402 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85964*o**3*v**3 + o**3*v*w + 70*o**3*v + 4*o**2*v - 12*o**2 + 29*o*v**3*w - o*w wrt v?\nAnswer: -515784*o**3*v + 174*o*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-3\/7)*s**2*s)\/(s**(-5)\/(s**(2\/9)*s))*(s**(-2)*s)**(3\/7)\/(s**(-4\/7)*s*s*s**(-2)) assuming s is positive.\nAnswer: s**(689\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1092 and 780?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g**3 + 4*g**2 + 4*g - 13. Let h = 23 + -19. Let z(d) = 13*d**3 - 3*d**2 - 3*d + 12. Let s(v) = h*z(v) + 3*j(v). Differentiate s(y) wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28782)\/7995)\/((-3)\/(-10))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s**25*((s*s\/(s**(-2\/39)*s)*s*s*s)\/s)\/((s*s**(2\/19))\/s) assuming s is positive.\nAnswer: s**(-15601\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7131*r - 70804 = -562843 for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/30*(-1)\/48*-8*-4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Let y(c) = 13*c**2 - 6*c + 16. Let m = -20 + 21. Let f(r) = m*y(r) + 2*i(r). Is f(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Solve w*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/40)\/((9\/(-8))\/(63\/(-21)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -116*u + 213. Give m(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + 26\/(-42). Let g = 29.1 - 29. Let b be 2 - 1 - 7\/2. What is the closest to n in g, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658830283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.77 and -1.8.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347262, -694530, -1041798, -1389066?\nAnswer: -1736334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttattgtgggggggattg. Give prob of sequence atg.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951755614?\nAnswer: 2, 975877807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357959778 and 2838?\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -224296062 divided by 13193886?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + 173 + -88 - (0 + -1) - 89.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**3 - 16*i**2 + 5*i - 6. Let b(a) = -11*a**3 - 18*a**2 + 6*a - 7. Let s(u) = -6*b(u) + 7*l(u). Find j, given that s(j) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 48. What is the remainder when 128 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2. Let h(s) = 65*s. Calculate h(b(n)).\nAnswer: -715*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -63. Let w = 5 + -4. Sort w, 3, n in increasing order.\nAnswer: w, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 997 = 4*q, -4*h + 4*q - 2991 = -7*h. Calculate the remainder when h is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 times 0.04?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.84 + -8. Let s = -0.16 - x. Which is the closest to 0.3? (a) 1 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -r - 28, -2*i + 7197*r + 26 = 7200*r for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5230 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 12, 1, 0.1 in decreasing order.\nAnswer: 12, 9, 1, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 571 - 891. Let r = g + 699. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 1\/60*c**5 + 0*c**3 + c - 1\/24*c**4 - c**2 + 0. Let b(m) be the first derivative of n(m). Factor b(i).\nAnswer: i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8000.846m to millimeters.\nAnswer: 8000846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 14) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*p - 187 + 348 + 1459 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 3\/5, 5, -2 in increasing order.\nAnswer: -2, -1, 3\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32947.\nAnswer: 47, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2.918.\nAnswer: -0.2918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100101010 - -111100101011?\nAnswer: 10100001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0\/(-1) + 5. Let l = b + -4. Factor 1\/2 - 1\/4*j**l + 1\/4*j.\nAnswer: -(j - 2)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1900)*2 + sqrt(1900)) - (2*sqrt(1900) + 2)) + 2)**2*5.\nAnswer: 1149500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 420, 421, 424, 429, 436?\n\"Answer: r**2 - 2*r + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.3 (b) 1\/4 (c) 4 (d) -16\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4559121 or 0?\nAnswer: -1\/4559121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + 9*h - 11. Give x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 4*f - f + (19 - 55 + 8)*(0 + 0 - f) - 2*f + 0*f + 0*f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-9)\/324)\/((-3)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2*t + 1. Let b(c) = c**3 + 3*c**2 - 7*c - 2. Suppose 18 - 3 = -3*v. Let r be b(v). Let u = r + 14. Calculate i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9306*t + 780 - 780.\nAnswer: -9306*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 1, p: 1}. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2822, -2\/3, 1, 2\/5 in descending order.\nAnswer: 4, 1, 2\/5, -2\/3, -2822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 - 11 = 0. Suppose 10 = -2754*k + 2759*k. Let c(m) = -3*m**j - 5*m - 2*m**2 + 3*m + 4*m**k. Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530725 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -879*m**6 - 1750*m**2.\nAnswer: -105480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -5. What are the prime factors of j\/(3\/12*-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-13))\/(119\/(-1547)). Let y(s) = -20*s**2 - 2. Let a(l) = -40*l**2 - 5. Determine h*a(r) - 5*y(r).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1047, 2092, 3137, 4182, 5227?\nAnswer: 6272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*k**2 + 63*k - 25*k - 13*k - 25*k.\nAnswer: -185*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 - 34*n + 77. Calculate f(-8).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16.5 times -0.1944797\nAnswer: 3.20891505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338 + 0.3?\nAnswer: 1338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 10 + (21 - (25 - 2)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 442*d + 14. Let r(m) = 2*m**2 - 21*m. What is y(r(u))?\nAnswer: 884*u**2 - 9282*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -9097 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3763992172112 + 3903975040991258197\/1037190. Let k = -2\/15715 + n. What is the common denominator of k and 2\/21?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**4\/3 - 23*i**3\/6 + 17*i**2. Calculate the remainder when y(-10) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/7942536 and -11\/4.\nAnswer: 7942536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {j: 3, g: 1, n: 1, z: 2, h: 4, l: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330463 is divided by 561.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*h + 18, -4*h + 12*j = 13*j + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c**5 - 14\/3*c**3 + c**6 + 0*c**2 + 0*c**4 + 0*c - 2. Find the third derivative of l(h) wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 51*o**2\/5 - 3132*o\/5.\nAnswer: o*(o - 87)*(o + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193944 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 4 + 1 = -14*v, 3*l + v - 6*v + 2*v = -75 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 7*u**2 - 10*u + 10. Let t be y(8). Let r(o) = -o**3 - 5*o**2 + 5*o - 1. Let k be r(t). What is the third biggest value in k, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 3 + 4 - 3*d**2 + 2*d - d**3 - d**2. Let v be h(-3). Let t be (v - 1) + 4 + -3. Calculate the highest common divisor of t and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -86. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 - 542*c**2\/3 + 12848*c - 81312.\nAnswer: 2*(c - 132)**2*(c - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -1 + 6. Suppose p = 39 + f. Suppose -39 = h - p. Calculate the remainder when 27 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggwwfgwfww. Give prob of sequence ff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (-26 + -55 + 48)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707571117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - j + 3*j + 5)*(-5 - j + 1 + 3).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 154*q**2. Let d(a) = 5*a**2. Let u(y) = 187*d(y) - 6*m(y). Let w(t) = -t**2. Give u(w(r)).\nAnswer: 11*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 467, 4, 0.1 in increasing order.\nAnswer: 0.1, 1.7, 4, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r + 156*r + 1055*r + 329*r.\nAnswer: 1517*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 45090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 57*y + 313*y + 1078*y.\nAnswer: 1448*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1042*-0.5.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/8 + ((-506)\/23 - -14))*-76?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 11. Suppose 2*h + 2*n = 3*h - j, -n - 3 = 0. Find the second derivative of 0*p + p**h + 3*p - p wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 249625 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 654 + -8802557236\nAnswer: -8802556582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 19 - 31 = 0. Suppose 2*n = 2 + p. Let i(t) = t + 7 + 7*t**2 - 2 - 1. Let k(w) = -6*w**2 - w - 3. Give n*k(y) + 5*i(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, -1 in increasing order.\nAnswer: -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Suppose g*i = -2*u - 3*u + 16, -4*u = -8. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/11 and 14\/263.\nAnswer: 2893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbllbqbxxlbbbqnh. What is prob of picking 1 x and 1 b?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 at most as big as 31209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 42. Sort 0, 0.07, i in decreasing order.\nAnswer: 0.07, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33125 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*r**2 - 538 + 538 as d*r**2 + m + t*r and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 14. Find the second derivative of -g*u - 24 + 15*u**2 + 24 wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18*6\/(-972))\/(1\/6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1804*n**3 + 2*n**2 - 12*n + 3 wrt n?\nAnswer: 10824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697590 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 81*n + 727. Does 6 divide p(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84 + -87)*10\/(-12) + 0\/2. Let w(k) be the first derivative of -a*k + 1\/8*k**4 - 18 - 9\/4*k**2 - 1\/2*k**3. Factor w(x).\nAnswer: (x - 5)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 270*f - 3206. Give q(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 11:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 3*c**4\/4 - c**3\/3 - 3*c**2 + 11*c - 4. Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58511244?\nAnswer: 2, 3, 11, 59, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/16 + d**3\/2 + 19*d**2\/8 - 6*d - 479. Find z such that c(z) = 0.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(2\/123))**(1\/5)\/(((m**(-8)*m)\/m**(5\/3))\/(m**(1\/3)*m\/m**(2\/7))) assuming m is positive.\nAnswer: m**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 43 (b) 2\/5 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(20)\/(sqrt(60)\/(-2*sqrt(6) + sqrt(6))) + (sqrt(72) - -2*(0 + sqrt(72))))**2.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 213028.\nAnswer: -639084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -3*r + 4*g + 150, 2*r + 3*g = 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 77 + 83 - 294 + 86 + 65 + 32*x**2. Let m(o) = -4*o + 2. Let w be m(2). Let j(n) = 11*n**2 + 6. Calculate w*q(p) + 17*j(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 5 - 5)*(3 - 1 + 1) + (-1 + 10 - 1)*(-p + 0*p + 0*p) to q*p + m and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 8 = 10*d - 6*d, 0 = 5*d + 5*h - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 6:01 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 160049 = 530704. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 516 + 97871?\nAnswer: 98387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/347, -200, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-3))\/(-4 + (-40)\/(-12)). Suppose 158 = -0*b + 3*b + 2*k, 3*k = t*b - 238. Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -o = g - 2*g. Suppose -v + 4*v - 18 = -3*x, g*v + 4 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 13 + 959612*x**2 + 3 - 959523*x**2.\nAnswer: 89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 13*p**2 + 10*p + 28. Calculate j(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-106 - -32)) + -25\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-14)\/(-6)) + 5. Suppose 4*s = 2*i - l, 0*s = 5*s + 5. Solve -3*f + i*f + 3*k = 6, 3*f + 4 = -5*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -35*k + 32*k - 18 - 84*k - 25*k. What is the tens digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfff. What is prob of sequence gfg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i**2 - 13*i**2 - 1 + 18*i**2 - 1 to r + m*i**2 + s*i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**4 + 2*k**2 + 3*k**2 - 3*k**2 - 7*k**2 wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from ddweq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -13\/32*b**4 - 93*b**2 + 0 + 5\/4*b**3 + 0*b - 3\/80*b**5. Find l such that z(l) = 0.\nAnswer: -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 5*f - 6. Let q(l) = l + 19. Let b be q(-17). Let h(d) = d**3 + d**2 + d - 2. Let m be h(b). Suppose 3*t - m = t. What is x(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*k - 5, 2*p + p + 3 = 0. Let v = 7 - 5. What is the third derivative of y**3 - 2*y**3 + y**v + 0*y**k wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -47*u**2 + u. Let w be c(-1). Let g be w\/(-20)*20\/(-6). Let f be (g\/(-20) - 1) + 7\/(-5). Put 1, f, -1 in descending order.\nAnswer: 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51657, 51688, 51717, 51744, 51769, 51792?\nAnswer: 51813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 24. Let v be (-2)\/(-4) + 11\/(-2). Let b(i) = -2*i - 2. Calculate the least common multiple of q and b(v).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 29*r**2 - 174*r - 289. Calculate n(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 32*x. Let j = -818 - -839. Let b(f) = j*f**2 + 21*f**2 - 68*f**2 + 25*f**2. Determine b(a(u)).\nAnswer: -4*u**4 + 128*u**3 - 1024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2074, 2502, 3212, 4198, 5454, 6974, 8752?\n\"Answer: -a**3 + 147*a**2 - 6*a + 1934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -14 - 5\/2*c + 1\/4*c**2 = 0.\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3 + 19079*i**2 + 3180*i.\nAnswer: -i*(i - 3180)*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/91? (a) -4.2 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccyttttctyy. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s - 8. Let i be q(6). Suppose -3*o = -i + 49. Solve -z - 3*b - o = -7, 3*z = 3*b - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -30.8. Sort s, -1, -4.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327501258 <= 327501259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -69, -94, -105, -96, -61?\n\"Answer: y**3 - 2*y**2 - 34*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046209679 rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 15*d**2 - 18*d + 25. Determine y(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 402\/(-4)*-1*((-12)\/(-2) - 4). Are 178 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 - 2*d + 3. Let z = -4 - -4. Let h = z + -6. Let a = h + 9. Give g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 4, -13, -0.3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1226*k**3 + 3814*k**3 - 1225 - 1092*k**3 with respect to k.\nAnswer: 4488*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 47 = -3*f - 3*u, 4*u + 5 = 3*f. Solve -f = 6*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 - 2*n. Let m be w(2). Let r(s) = -4*s + 23. Let k be r(5). Let x(c) = -c**2 - 1 + k - 26*c**3 + 25*c**3. Give x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74161\/10 + 7422. Calculate the common denominator of (-3683)\/348 + (-9)\/54 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15886.71 to the nearest one hundred.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 11:42 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*(-9)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17824*c = 2*a + 17823*c - 27, 5*a = 3*c + 70 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -2*g**6\/15 - 4*g**5\/5 - 13*g. Determine d so that a(d) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1392 + -584. What are the prime factors of c?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yri when three letters picked without replacement from {i: 1, w: 2, y: 4, r: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 339, 526, 733, 966?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 39164346.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91480 is divided by 30462.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/13 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*g - 30*g**2 - 12*g**2 + 43*g**2 + (3 - 2 + 1)*(-1 + 1 - 2*g**2) in the form i + q*g**2 + y*g and give y.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4755645 * 63.\nAnswer: 299605635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 608213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - d + 1. Let a(y) be the first derivative of -3*y**4\/4 - 2*y**3 - 2*y**2 + 6*y - 57. Determine a(i) - 6*q(i).\nAnswer: -3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95, 1711, 4705, 8875, 14209?\n\"Answer: -2*o**3 + 606*o**2 + 2*o - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1105 >= -1104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - w = 4*l + 6, l + 94 = -7*w - 4*l + 20 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 76480 + 31313. List the prime factors of r.\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, 0.3, 1, -1223\/4049?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-4) - -5 - (-195)\/12. Let x(c) = 21*c**3 - 5. Let p(o) = 64*o**3 - 16. Calculate g*x(s) - 5*p(s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398993805*t - 8*t**2 - 199496899*t + 2 - 199496906*t - 2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(108)\/sqrt(9)*5) + sqrt(5) + sqrt(5) + sqrt(50)\/(sqrt(10)*1 + sqrt(10)) + 0.\nAnswer: 27*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + a - 2*a - 4, 3*a = -12. Suppose -18*k + 44 + 28 = c. Let m(f) = 3*f - 15. What is m(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 49. Suppose j + b*j - 5*m + 16 = 0, 8 = 2*m. What is the third derivative of -28*o - 17*o**j + 14*o - 32*o**2 + 14*o wrt o?\nAnswer: -408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-42) - 0)*(-49)\/42. What is the second biggest value in t, 2, -37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m**3 - 3*m)*(0 + 0 + 2 + (2 + 1 - 2)*(-2 - 2 + 1) - 2 + 4 - 5).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m - 8 = 0. Let a = m - -16. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1774.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 23*b**2 - 47*b - 121. Calculate f(25).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5156\/5*v + 44\/5*v**2 + 936\/5 = 0.\nAnswer: 2\/11, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*j + 8903 = 472*j - 19177 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2205 and 97020.\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 11 + (-46)\/(-23). Sort -5, 109, s.\nAnswer: -5, s, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, l: 6, d: 9}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w**2 + 8*w - 9. Let h be q(6). Suppose -h*m = 4*n - m - 16, -2*n - 8 = -3*m. Let x(c) = 3 - 4 + 4 - 3*c + 2*c**2. Determine x(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 192, 330, 468?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18235578 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5189 + 10346 - u - u - 5157. Let b(n) = n**2 + 4*n - 1. Let h be b(-4). What is q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1006488228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**2 + 4*i + 5. What is the remainder when z(-2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14418, 11837, 7538, 1521, -6214?\nAnswer: -15667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**3\/13 - 18*p**2\/13 - 6*p\/13 + 8\/13 = 0.\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - 15. Let s = -811 + 803. Put -4, j, s, 2 in descending order.\nAnswer: 2, -4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 + 106527*l\/7 - 852408\/7.\nAnswer: 3*(l - 8)*(l + 35517)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*s - 82 = 0, 4*w + 5*s - 39 - 53 = 0. List the prime factors of 1\/3 - (-390)\/w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*-1 - sqrt(102)) + sqrt(102) - sqrt(102))\/sqrt(2))\/(1*sqrt(48)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/2 - 1223*v**3 - 29219*v**2\/2 - 13387*v = 0 for v.\nAnswer: -2434, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1709 by -148.\nAnswer: 1709\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 + 4 = -5*d, 2*d = -2*h. Suppose -h*t - 2*z + 9 = -3*t, 3*t - 13 = -2*z. Let i = 1205\/959 - -4\/137. Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/25 (b) -0.7 (c) 7 (d) 32 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16cd (base 15) to base 9\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6959 - 6961 - 85*b + 394*b to m + k*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85794951 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 64674*u + 64678*u + 38 = 0, -3*u = 4*f + 53 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - x = 16, 0 = 4*t + 2*x - 71 + 53. Solve 8*c = 7*c + l + t, 0 = -4*c - 3*l - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 131, 222, 335, 476, 651, 866, 1127?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10585*y**2 + 9218*y**2 - 21628*y**2 - 3278*y**2.\nAnswer: -26273*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 19. What is the third smallest value in -0.3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -118*u**2 + 1. Let w be h(-1). Let p = -38 - w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((952\/42)\/(-34))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/3 - 62584*k**3\/3 - 977247238*k**2\/3 + 20256625864*k - 314288748723.\nAnswer: -(k - 31)**2*(k + 31323)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 82*h + 86*h + 12, 3*h = -9. Solve g = -4*p + 33 - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*1 + (-315)\/(-18)*12\/5. What is the greatest common divisor of m and 7092?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69912 is divided by 164?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3065 + 719. Is x a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.2894 decades to centuries.\nAnswer: 66.22894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(11) - (sqrt(44)\/sqrt(4) + sqrt(11) + 0) - sqrt(44)*-5) - -1*sqrt(1100)*-5*-2) + -3)**2.\nAnswer: 218*sqrt(11) + 130692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*k - 6 = -2*d + 94*k, -3*k = -5*d - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(605)*4)**2.\nAnswer: 38720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 231 = -0*r. Let y = 13 + -31. Let u = y - r. 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 215512752 to the nearest integer?\nAnswer: 14680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/159543 and 38\/297.\nAnswer: 1754973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((1\/(-5))\/(-1)). Let g be v\/(-35) + (-108)\/(-14). Let u(p) = p**2 + 32*p + 225. Let w be u(-10). Solve -g = w*k - k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:50 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 82, 0, -682, 3, -5 in decreasing order.\nAnswer: 82, 3, 0, -1, -5, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -30*q - 5. Let g(a) = a**2. Give g(d(p)).\nAnswer: 900*p**2 + 300*p + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-10)*(-4)\/6. Let g = -10 - -8. Let i be (-3)\/(-2)*8\/42. Which is the smallest value? (a) i (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -348 + 874. What is the remainder when t is divided by ((-318)\/(-27))\/((-56)\/(-252))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a - 5. Let h be j(-5). Solve h - 2 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:12 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35702800 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32775831 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 589, 600, 625, 670, 741, 844, 985?\n\"Answer: g**3 + g**2 + g + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -42\/3155?\nAnswer: -42\/3155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 - h**2)*(218 - 102 - 110)*(-h**2 + h**2 + 2*h**2)*((-4 + 1 + 2)*(-13 + 4 - 7) + 0 + 0 + 1).\nAnswer: 204*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 24372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 39*c - 78. Let o be r(-41). Suppose 472 = 2*j - 5*k, -o*j = -9*j + 4*k + 1146. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42777900167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397376 by 224.\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 16 + -17 + 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20126092, 40252162, 60378232, 80504302, 100630372, 120756442?\n\"Answer: 20126070*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005554821 rounded to 6 decimal places?\nAnswer: 0.000555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7515204 to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4673753 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 12*u**4 + 272*u**3 - 436*u**2 - 1272*u - 576 = 0.\nAnswer: -24, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = -40*t, 0 = -n + 2*t - 19992 + 20007 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*sqrt(72)*-1 - sqrt(72))**2 + sqrt(72)*-2*5 - 2*((sqrt(72) - (sqrt(72) + (sqrt(72) - sqrt(72)*1))) + sqrt(72) + 1)) + -1.\nAnswer: -72*sqrt(2) + 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 181*f**7\/210 - 9*f**3 - 229*f**2. Differentiate u(y) wrt y.\nAnswer: 724*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 48*w - 13. What is v(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*u - 71*u - 59508 = 0. Suppose -24*h = 3*h - u. What are the prime factors of h?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45965 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/12 + 13*f**3\/6 + 3*f**2 - 2*f. Is b(12) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**3 + 3*x - 1. Is 17 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/16 - 7\/16. What is the nearest to t in 1, -5\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-344 + 893 - 334)*(2*w**3 - 3*w**3 - w**3) + (w - 4*w + 5*w)*(2*w**2 - 7*w**2 + w**2).\nAnswer: -438*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 656*d - 9 = 652*d, 4*u = -4*d + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 + 38 + 3119*j + 45 - 127 to a*j + x and give a.\nAnswer: 3119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1580 and 20.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:48 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 25 = l - 4*l, 3*d - 95 = -4*l. Suppose -2*w + 27 = 2*w - 3*f, 3*w - 4*f = 29. Suppose -60 = -3*n - w. What is the remainder when d is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*j + j**2 - 613*j + 1245*j.\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69a463 - -5?\nAnswer: 69a468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 3. Let h be p(-3). Suppose -c + 7 + h = 0. What is the remainder when 13 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**3 + a**2 - 3*a + 13. Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - 5*p + 7*p + 4*p + 62 in the form k*p + t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*b + 4*v - 8, v + 14 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1134.\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -6*n + 19, 1322 - 1361 = -11*n + r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 74 + 72. Let m be (21\/(-6) + 3)*-6. Sort m, f, 0 in decreasing order.\nAnswer: m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102257 + -102285.0716. Let d = 0.0284 - h. What is d rounded to 0 dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -1\/4*n**4 + 44 + 7\/3*n**3 + n**2 - 14*n. Let d be m(7). Which is bigger: -6\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 - s**2 - 1. Let n be m(1). Solve -3*r = -j - 1 + 18, -n*r - 4*j - 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.8779 + -136.2309. Let b = t + -0.147. What is b rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + (-2)\/4. Let j(r) be the third derivative of r**5\/60 - r**3\/6 - 19*r**2. Calculate j(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 1.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-17 + 8)*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-168)\/36)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813315 (base 14) to base 8.\nAnswer: -20457627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 8:14 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 249322319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 10. Let r(q) = 1. Let b(z) = z - 2. Let k(t) = b(t) + 3*r(t). Let i(m) = -5*k(m) + u(m). What is the first derivative of i(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3484484138 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4\/7 + 306*y**3\/7 + 1480*y**2\/7 - 246*y - 4860\/7 = 0.\nAnswer: -5, -3\/2, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*y, y - w + 1 = -0. Suppose y*u - 56 = -4*s, -u - 2*s + 11 = -0*u. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4 - 5. Let c be 606\/(-10) + (-9)\/(-15). What are the prime factors of (f\/2)\/(2\/c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 7*p**6\/12 - p**4\/24 + 13*p**3\/2 - 33*p**2. Find the second derivative of b(k) wrt k.\nAnswer: 420*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**3 - 21*w**2 + 14*w + 14. Is a(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(5 - 32\/40 - 7)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195121\/828 - 103\/828. Let g = v - -236. What is p in -2\/3*p**4 + 4\/9*p + 8\/9*p**2 - 4\/9*p**3 - g = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-2\/7))**(-32))**(-5\/11))**(-42) assuming u is positive.\nAnswer: u**(-15360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2752\/(-800))\/(4\/(-50))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + (-2 - 5 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 2*b - 135*b**3 + 22259*b**2 - 22262*b**2 - 90*b**3 in the form f*b**3 + j + v*b + k*b**2 and give f.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190.71 + 193. Let l = 0.51 + w. Let z = l + 1.2. What is the closest to -1\/2 in 0.1, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55215141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*c**3 + 807*c**3 + 805*c**3 - 3229*c**3 + 808*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p)**(-1\/13) assuming p is positive.\nAnswer: p**(5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 11) in base 14?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(48) - (sqrt(66)*-2)\/sqrt(6))*3 + 1.\nAnswer: 1 + 27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 88, 252, 564, 1072, 1824, 2868, 4252?\nAnswer: 6024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:08 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 36*w**2 - 39*w - 24. Give k(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/266)\/((-8)\/(-14))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -89 (b) 0.4 (c) 3 (d) -1\/28 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-2595)\/260 - 39\/52?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.188.\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297579967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**5\/60 - 7*a**4\/24 + 2*a**3\/3 - 13. Let l(q) be the third derivative of c(q). What is the first derivative of l(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/158851 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 944803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*d = 18, 0 = 5*d - 0*d - 35 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 7) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(108)\/sqrt(4) + -5)**2 + -3.\nAnswer: -6*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, i: 2, u: 4, s: 2}. Give prob of sequence ui.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:55 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*n**2*q**3*u + 1763*n**2*q*u**2 - 2*n*q**3 - 2*n*q**2*u**2 - 11*n*q**2 + 6*n*q*u - 233*n*q wrt n?\nAnswer: -74*q**3*u + 3526*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 5*a**2\/2 - 10. Let w(x) = 9 - x**2 - 9. Calculate w(z(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h + 54*h = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + (-210)\/(-40). Suppose -g*u - 5 = 30. Let x = 14 + -19. Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1270750884 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684a (base 13) in base 2?\nAnswer: 101101011001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(0 + 3 - 2)*(-7*p + p - 7*p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/20*(-45)\/2. Let x = b + 29. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 1903, -11, -1 in increasing order.\nAnswer: -11, -1, 0.04, 1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m**2\/2 + 2817*m\/2 + 22080 = 0 for m.\nAnswer: -640\/13, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4002 + -1585. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4163 (base 7) in base 11?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 0*i**2 + 8\/3*i**3 - 19 + 0*i. Let w(h) = 2*h**2. What is s(w(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 91*y**2 - 18*y + 78. List the prime factors of x(7).\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447528 to the power of 1\/2, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223236 and 1208.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 736165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.156 + -0.844. Let l = 1.313 - 1.353. Let u = 5 + -9. What is the nearest to -2 in u, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcz when three letters picked without replacement from {m: 1, z: 3, o: 3, c: 3, d: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8825.914s to microseconds.\nAnswer: 8825914000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from ljjjl?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3694)\/(-7) - ((-242)\/14 + 17)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 4, t: 2}. Give prob of picking 2 b and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-2))\/5)\/(2\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4683128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*q*v**3 - 641344*q*v**2 + 11324*v**3 - 2*v**2 wrt v?\nAnswer: 858*q + 67944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130667.\nAnswer: 41, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6746163 (base 8) to base 4.\nAnswer: 12330301303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 6, f: 1, x: 1, k: 8}. What is prob of sequence kxk?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5 + -1 + sqrt(108))**2 - (-2*sqrt(108) + 3)).\nAnswer: -60*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1743\/189 + -4 + 30\/(-5)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {s: 4, p: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6562157 to the power of 1\/2, to the nearest integer?\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6218066 * 1.\nAnswer: -6218066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1785188\/279 + 12797\/2. Calculate the common denominator of f and -26\/11.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263654 smaller than 263674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29417\/12 - -7352\/3. What is the smallest value in -1, 57, z, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 512*k - 38916. What is z(76)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49122324.\nAnswer: 2, 3, 61, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3791 + -11372\/3. What is the nearest to -4 in q, -4, 3.4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**2 + 13005854*q + 90838963 wrt q.\nAnswer: -4*q + 13005854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 30*a**2 - 97*a**2 - 37*a**2 - 75*a**2.\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-10) + 1)\/((-12)\/(-30)). Solve -5*z - 5 = -p, 5*z + 2*p - k = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - w**3 + 4*w**2 - 6*w**3 - 3*w**2 + w**4 to n*w + l*w**2 + f*w**3 + h*w**4 + m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 52*u + 4466 - 4000 = -7086 for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 298345, 298347, 298349, 298351?\n\"Answer: 2*w + 298343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-5)*((-2)\/6 - 42\/84). Let s(l) be the first derivative of -4*l + q*l**3 - 16 - l**2. Factor s(y).\nAnswer: 2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/4 - 903*c. Let u(s) be the third derivative of 3*s**4\/4 - s**2. Calculate u(l(y)).\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1016)\/(-208) - 4842\/3497.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -529366*-1.3\nAnswer: 688175.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7094 is divided by 2888?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -64290, -128580, -192870?\n\"Answer: -64290*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5770 and 444183255.\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 1:19 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/4))\/r*r)**(-1\/53)\/((r*(((r\/(r*r\/(r**(-2\/3)\/r)))\/r)\/r)\/r)\/((r**(-1\/5)*r)\/r*r))*r**(1\/2)\/r*r**6*(r**(-1\/4))**(-13) assuming r is positive.\nAnswer: r**(11291\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 + (-32)\/(-4 - -12)*-1. Solve -q*k = 57 - 117 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24628 is divided by 4595.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -4, 1, -2, 4.\nAnswer: -50, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 889, 876, 849, 802, 729, 624, 481, 294?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 2*n - 2*n + 7 - 7 - 2*n + (3*n - 2*n + 2*n)*(-4 + 0 + 6) as q + v*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-28))\/(4\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124.8 - -125. Which is the second smallest value? (a) -2\/3 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 18 - (-10 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9395 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 4\/3, 1, 4459?\nAnswer: 4459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 40 = -92. Suppose -101*b + 9 = -98*b, -d - 3*b = 32. Let q = d - g. Solve q*x = -5*y - 7 - 12, -8 = -4*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(((-1)\/7)\/((-15)\/21)). Suppose -8 + 0 = a. Sort a, w, -3 in decreasing order.\nAnswer: -3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95978190 and 1617.\nAnswer: 671847330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(272) - sqrt(272)*2)*-3 + (-3 + sqrt(272) + -1)*-3.\nAnswer: 9 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 1)\/2*3. Let h be y*(-2)\/4 + -3. Suppose 3*n - 71 - 4 = h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 31 = 4*m. Let x(i) = i**3 - 3*i**2 + i - 2. Let h be x(3). Let r be -9*(h - 3)\/m. What is the third biggest value in -0.5, -9, r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2188 + 2761. Which is bigger: h or 570?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w**4 + 1\/90*w**5 - 1\/9*w**3 + 0 - 15*w**2 + 0*w. Find r, given that v(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19180 and 10211980?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - -0.4. Sort 2\/13, j, 1\/2.\nAnswer: 2\/13, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*k - 13. Suppose -k*g = 4*l + 28364, 5*l - l - 3*g = -28364. Let s = -4486 - l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2 - 4*a + 154. Let d = 270 + -270. What are the prime factors of z(d)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30*15\/(-3)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/((8\/3)\/(-4)). Let s = -33 - n. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 11 = -2*c - 10, 3*c + 5*z + 24 = 0. Does 16 divide 2 - c\/(-3)*-117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -114, -115, -116, -117, -118?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79052.\nAnswer: 2, 19763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*w + 1733*w = -28*w + 20911 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1031 - -324. Let x = -706 - f. Is -12.4 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) -2\/3 (d) -1\/4 (e) -36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*u - 30, 2*n + 5*u + 23 + 39 = 0. Let r be (n - -28)*(-3)\/(-2). Solve -8 = 2*k + 2*g, r*k - 2*g = 2*g - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) -2\/9 (c) -0.253 (d) 8\/111 (e) 7\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-10)\/(-8) + 2 + 120\/(-32))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14575 * -6.\nAnswer: -87450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Suppose -r*m = -m - 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v + 1. Let w = -15 + 14. Let f be n(w). What is the common denominator of 93\/8 and 3\/f*267\/9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*f + 3*f = 5, -f = -2. Let d be 1\/(w + -1 + -1). Sort 4, d, 1 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 18*g - 2 + 1\/2*g**2. Let x(m) = 2*m. Calculate x(z(u)).\nAnswer: 2*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:17 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(45\/10)*(-450)\/100?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 2*t**2 + t. Suppose 6 = 2*b - 0*b. Let f be 4\/6 - 4\/6. Suppose -3*w + b - 9 = f. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671830.067 rounded to the nearest 100?\nAnswer: 1671800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 6*u + 6 = 0. Suppose 0 = u*v - 2*r - 34 - 48, -2*v + 2*r + 52 = 0. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3902, -3898, -3894, -3890?\nAnswer: -3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26197.046 - -26169. Let w = 28 - 56. Let b = n - w. What is b rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -0.51. Sort -5, -1\/8, u in increasing order.\nAnswer: -5, -1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.64 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/t**6)*t)\/(t\/(t\/t**(-7))))\/(t\/(t\/t**(-6))*t**(-4)))**(1\/19))**(-3\/10) assuming t is positive.\nAnswer: t**(-36\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 684*c**3 - 28196*c**2 - 89436*c - 60552.\nAnswer: -4*(c - 87)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16994, 16990, 16984, 16976, 16966?\nAnswer: 16954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/((-12654)\/(-266))*-63?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6191953 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 253*h - 251*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(176)*-1)\/(sqrt(4) - 5*sqrt(16)\/sqrt(4))*-1*5)**2*4.\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399916671 and 1016565.\nAnswer: 1999583355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 1. Let g be q(3). Let o = 4 - g. Find the second derivative of 4*h**3 + 0*h + 2*h - o*h**3 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 340?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -270*((-50)\/3 - 0). Suppose 33*d = 23*d + k. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:32 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 147. Let z = m - 41. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 + 914206*u + 914204 = 0.\nAnswer: -457102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 2:56 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1213?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 3*t, 28*t = 25*t + u + 2. Solve -6*y = -t - 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/27 and (-249)\/54 + 6 + -7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 + -2298\/7. Suppose 4*x + 3 = -5. Let w be (-1)\/(-5)*(-5)\/x. Put w, 1\/3, q in descending order.\nAnswer: w, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81483*h - 68345*h + 38411*h.\nAnswer: 51549*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44617*h**4*z**3 - h**4*z**2 + 422*h**2*z**3 + 138*h**2*z wrt h.\nAnswer: 1070808*h*z**3 - 24*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 7 + 17. Suppose 5*j = 22 - 7. Let i(q) = -1 + 10*q**3 - 6*q**j - q**u - q + 0. Calculate i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80256790, 80256793, 80256798, 80256805, 80256814, 80256825?\n\"Answer: a**2 + 80256789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -229 - -227. Let x = q + 1.922. What is x rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240\/667 or 2.72?\nAnswer: -240\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/69330 and -93\/16727018?\nAnswer: 250905270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*y - 12 = 0, -5*r + 0*r = -4*y - 4. Let k be (0 - r)*(17 - 8). What is the common denominator of 409\/k - 10\/45 and -29\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/272700 and -1\/101000.\nAnswer: 2727000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. What is the derivative of 12 + 5 - h**w + 10 - 11*h**3 wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.03, -0.3, 5, 91\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (138 + -156).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(475) + 4)**2 + sqrt(475) - (-4 + (sqrt(684) - (sqrt(684) + 1))).\nAnswer: 45*sqrt(19) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and -21641871.\nAnswer: -21641870.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*z + 3*y, -5*z + 3*z - 4 = -2*y. Sort z, 5, 2 in descending order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -18. Suppose -3*y = 2*v + 2*y + 10, -10 = -d*v + 5*y. Let z = -1029 + 1032. Which is the closest to -1\/2? (a) 1 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7059271 years in decades?\nAnswer: 0.07059271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -7 in descending order.\nAnswer: 0.2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 2*r**4 - 2*r**4 + 2*r + 2*r**2 + 0*r**3 - 2*r**4 + 10 as o*r**4 + z*r**2 + d + l*r + a*r**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/15 - 6578*g\/15 - 10448 = 0 for g.\nAnswer: -3265, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2096, -4254, -6428, -8630, -10872?\nAnswer: -13166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -1962\/299?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 320591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 2*z. Let f(c) = -c**3 + c - 9. Let b(d) = -2*d**3 + 2*d - 21. Let o(l) = 3*b(l) - 7*f(l). Calculate 2*o(m) - v(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3054 = 10*l + 3074 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.034.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-8)*(c**(-1)*c)**(-3\/20)*c**(-3\/8)*c\/(c\/(c**(-5)*c*c)*c)*c**(-1\/5)\/c**(-7) assuming c is positive.\nAnswer: c**(97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5697288 divided by 53748.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*f = -1264*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*28\/(-2) + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21676 + 36179. Suppose -4*v = -16, -2*v = u - 4*u + x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 487*n - 254*n + 42 + 490*n - 166. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/10 + v**4\/6 - 2*v**3\/3 + v**2 - 2*v. Let a be (16\/(-12))\/(8\/(-12)). Determine c(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1997 and 20.\nAnswer: 39940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 10.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 - 4*a - 6. Let h = 12 - 6. Let w be r(h). Let m = -3 + w. Solve 0 = -m*n + 2*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 7) in base 4?\nAnswer: -2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 24 = -m + 8, -x + 4*m + 52 = 0. Calculate the highest common divisor of 1260 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -906 - -907. Let b = 102 + -102. What is the nearest to w in b, 3, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45\/8402, 0, 0.89?\nAnswer: -45\/8402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 2*f**2 + 3*f**2 - 3*f**2 - 2. Let m be j(2). Let h be (-2)\/(-4)*m*2. Is h less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, -3, 21\/4 in decreasing order.\nAnswer: 21\/4, -1\/5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60126 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2448) + 2*sqrt(2448))*4 - 2*(sqrt(68) - sqrt(68)*1)**2).\nAnswer: -4 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 48*j**4 + 34*j**4 + 25*j**4 - 2*j**3 + 3 as i*j**2 + y*j**4 + m*j + w + r*j**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**2 + 13 - 7 - 8 - 74*n**2 - 44*n**2 as j + d*n + i*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**5 + n**4 - 4*n**3 - 4*n**2 + 5*n - 5. Let w(i) = -i + 1. Let j(s) = -3*f(s) - 15*w(s). Let j(b) = 0. Calculate b.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - w + 21 = 4*r, 3*w = -4*r + 19. Suppose 5*m - 28 = 32. What is the highest common factor of m and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y + y**4 - 1\/8*y**2 + 1\/12*y**3 - 4\/5*y**5 + 10. Let c(z) = 0. What is z?\nAnswer: -1\/4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1738844 divided by 8\nAnswer: -434711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/11 or 15\/82?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 22 = -3*j, 2*j = j - z + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjtktttttttkkt. Give prob of sequence kk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 22. Let d(w) = -w + 2. Let q(p) be the second derivative of p**3\/3 - 3*p**2\/2 - 2*p. Let m(s) = x*d(s) - 3*q(s). Differentiate m(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 318, -5, -1 in ascending order.\nAnswer: -5, -1, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283503656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - 2*o)*(-110*o**2 + 79*o**4 - 18*o**4 + 111*o**2 - o).\nAnswer: -183*o**5 - 3*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 14)\/((-30)\/(-492)*(-14)\/(-35)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -2563, -1049?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 1560 = 0. Suppose -p + 3*f = -0*p + 525, s = -p + 4*f. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.51 + 128.71. Let u = -15.5 + 138.5. Let k = u - y. Which is the biggest value? (a) 4\/3 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 18*w + 270. Calculate the remainder when 212 is divided by w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2164\/(-8))\/(369\/74 - (-60)\/(-12)). Calculate the greatest common divisor of g and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20963.195 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by -334.\nAnswer: -147\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -552910922*x**2 - 688924236*x wrt x?\nAnswer: -1105821844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -s - 11, -6*g = 3*s - 2*g + 13. Let l(p) = -3 + 3*p + 0 + s. Suppose -5*t = 1 - 11. Let v(o) = -16*o + 11. Calculate t*v(y) + 11*l(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 11*t**2 - 4*t - 34. Let p be q(-11). Suppose -w = -4*g + 5, 14*g + 4*w - p = 15*g. Put -156, -4, g in descending order.\nAnswer: g, -4, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/15 + 8*j**3\/15 + 2*j**2\/3 + 4*j\/15 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/73 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 31?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 477*w**3 - 1404*w**2.\nAnswer: -3*w**2*(w - 156)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53953.\nAnswer: 163, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = 10*q. Let x be q\/(-4)*2\/4. Is -1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25301, 50603, 75905, 101207, 126509, 151811?\n\"Answer: 25302*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 535203647.\nAnswer: 535203630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - 0 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 272*v**2 + 44*v - 264. Let w(g) = -39*g**2 - 6*g + 36. Let z(m) = 3*p(m) + 22*w(m). Suppose x + 4*x = -5. Determine z(x).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 + y + 6. Suppose -2*o + o + 5*c - 11 = 0, 4*o - 3*c = -27. Determine n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21867, 21869, 21871, 21873?\n\"Answer: 2*z + 21865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28428, -56948, -85638, -114582, -143864, -173568, -203778?\nAnswer: -234578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*n - x + 5 = 0, 0 = -4*x - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. What is the remainder when 19 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-402)\/(-268))\/((-4)\/(1728\/8)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 4. Let p = -13 - -18. Let j(k) = -5*k**2 + 4. Suppose 11*h + v + 31 = 6*h, -5*h = 5*v + 35. What is h*l(g) + p*j(g)?\nAnswer: -g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -0.2 (b) -3 (c) 4\/11 (d) -1\/10 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taehrhp. What is prob of picking 1 t, 1 h, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 100\/3. Let p be 9\/(-15) + (-98)\/(-5). Suppose 4*a = 2*t + t - p, 2*t + 2*a = -6. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12 and -151\/492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -1\/10 (c) 1 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -43257.6 times -3.77\nAnswer: 163081.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4, -3*v - 6*c + 3*c + 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*j = 577*j + 328*j - 26335 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3*(-4 + -5). Let j(g) = g**3 - 7*g**2 + 5*g - 5. Let f be j(7). Let r be (-26)\/f - 2*3\/(-30). What is the closest to r in p, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y - 21 + 21)*(-y + y - y**3)*(-2 + 0 + 3) + 5*y**4 + 2*y**4 - 4*y**4 as f + c*y**3 + n*y + q*y**4 + o*y**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.6, 3, 0.1, 7 in descending order.\nAnswer: 7, 3, 2\/3, 0.6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 28*f**2 + 459*f - 56. What is t(-16)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34, -56, -76, -94, -110, -124, -136?\n\"Answer: r**2 - 25*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*k**2 - 51*f**3*k + 5*f**3 + f**2 + 143466*f*k**2 - 50*f*k wrt k?\nAnswer: -4*f**3 + 286932*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 3. Let l(j) = 6*j**2 + 16. Let q(h) = 16*g(h) - 3*l(h). Let a(v) = 9*v**2. Give a(q(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {a: 2, d: 4, q: 7, v: 1, h: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p + 7691 - 17922 = -7940 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*u**4 + 14\/3*u**3 + 0 - 22\/3*u**2 + 10\/3*u.\nAnswer: -2*u*(u - 5)*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u - 30 + 382 = -5*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, q: 14}. Give prob of sequence qqww.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - ((-15 - -21) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((105\/18)\/(-7)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39041.\nAnswer: 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1473 and 183?\nAnswer: 89853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 54 = -q. Suppose -5*y + q = -38. Solve 2*c + 2*c + 3*p = y, -4*p = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -2 - (-77 - -76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 7 = -14. Suppose -3*b + w - 4 = -7*b, -12 = -2*b - s*w. Suppose b*k + 4*k = 4. Solve 0 = j - 4, 2*u + k = u + j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7298960 - 21*o**2 + 7298960.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 10*j**2 - 2*j - 6. Let d be o(-11). Let w = d - 88. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188048 * -19.\nAnswer: -3572912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176 - -170) + ((2 - 1) + -2 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5241 or 1?\nAnswer: 11\/5241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**2)**(-1\/3)\/(v**2*v*v*v\/(v*v\/v**(-2\/5)*v)) assuming v is positive.\nAnswer: v**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492170 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 699*t**3 + 25927*t**2 - 174327*t + 270846.\nAnswer: -(t - 734)*(t - 3)**2*(t + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*k = 823 + 261, 0 = -4*k + 16. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = -573 + 14 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*y - 104*y - 74286 + 85006 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y + 25*y + y**2)*(2 + 3 - 1).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*z**5 + 35*z**5 + 42*z**5 + (1 - z**3 - 1)*(-2*z**2 + 3 - 3).\nAnswer: -15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/6))**36*(d*d**(-3))**(22\/3))**(-44) assuming d is positive.\nAnswer: d**(-3608\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-165306)\/11*374\/(-68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 15*i - 31. Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 436 - 409. Solve -32 = -j*h + 11*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:48 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(3 + 10\/(-3)). Let o = 2.9 - 2.4. Let j = 25 + -17. Which is the closest to 0? (a) t (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3 - 67*k**2 + 66*k**2 - 3. Let j(b) = -13*b. Give j(t(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97967, 392262, 882755, 1569446, 2452335, 3531422?\nAnswer: 4806707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.075 - 7.925. Let o = 31\/55 - 4\/11. Sort -2\/9, o, h, -2 in decreasing order.\nAnswer: o, -2\/9, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + m + 4*m - 6*m. Let x be (-2)\/(-2) - (-2)\/2. Let k(i) = 4*i**2 - 5*i**x + 2*i**2. Determine k(t(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -49.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369649685 is divided by 790?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 12*i**4 - 2*i**3 - 14*i**4 + 26*i**4 - 5*i**4 + 99*i as q*i**4 + u*i**2 + w*i**3 + g + r*i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6702191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.8 + -8. Let l = r - -0.9. Which is the nearest to -2\/7? (a) -0.3 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y - 31*y + 185 = -217. Solve 22 = -5*a + 3*h, a + y*h + 14 = 9*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104\/20 - (-1)\/(-5). Suppose -3*r = -q*o - 4 + 7, -4*r + 4*o = -4. Let x = r - 0. Solve -2*b + x*k = -4 - 4, -4*b + 3*k = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 10*p**2 - 11*p - 8. Let v be f(-11). Let h = -8 - v. Solve h = -0*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*r*x + 6*f**2 + 5977*f*x**3 + r**3*x - 2*r**3 + 226*r**2 wrt x?\nAnswer: f**2*r + 17931*f*x**2 + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2. Let n(t) = t**3 + 2*t - 1. Let q be n(0). Let m(u) = -2*u + 3. Let z(l) = q*m(l) + 4*a(l). Calculate z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 174*u\/5 - 189.\nAnswer: 3*(u - 5)*(u + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from bppbp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l - 28. Let p be o(-9). Let r = -27 - p. Suppose 65*v - r*v = 363. What is the greatest common divisor of 33 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10*(49\/70 + 3\/(-15)) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2\/4)*46\/(-69). Let g be (-1 - 282\/(-18))\/(o\/(-3)). Let s = 167 - g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -689\/44 != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:28 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/14)\/4*(-12)\/4. What is the closest to 2\/7 in -0.3, i, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 8*g**2 + 10*g - 1. Let i(y) = -y**3 + y**2 + y - 1. Let w(d) = 4*i(d) - m(d). Determine w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001475 rounded to 6 dps?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84808548 is divided by 158.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/4 + 3*p**3\/2 - 6*p. Factor f(g).\nAnswer: 3*g*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 71325*p**2 - p - 2. Let g(q) = 5*q. Give g(t(o)).\nAnswer: 356625*o**2 - 5*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 106257060 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(880))\/sqrt(5) + sqrt(1584) + -1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33111 or 33086?\nAnswer: 33111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 3*y**3\/2 + 3*y**2 + 63409*y. Let z(a) = 10*a + 7. Suppose 9 + 19 = 5*s + p, -3*p - 6 = 0. Give s*z(r) - 7*t(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b - 2*b)*(1 + 1 + 1) + b + 0 + 0 + (42 - 80 - 21)*(-3*b + 2*b - b).\nAnswer: 116*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 - 7*(-20)\/(-140). Determine h so that 0*h + 0 - 2\/7*h**3 + i*h**2 - 2\/7*h**5 + 4\/7*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82\/26 + 2\/(-13). Suppose 2*p = 5*o - 19, -3*p = -0*o + o + f. Solve -2*c - o*h + 2 = 0, c + 5*h = -c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 472b7c + 28?\nAnswer: 472ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 - 1. Suppose 0*t - 6 = -3*t. Suppose -5*x + 9 = -t*q, 2*x - q - 6 = q. Give g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722 + (13 - 14 - -8)?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*o**3 + 11*o**2 - 589 wrt o?\nAnswer: -36*o**2 + 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 2 g when four letters picked without replacement from llwwgllg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -737, -1445, -2151, -2849, -3533, -4197?\n\"Answer: f**3 - 5*f**2 - 700*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 344491139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 9*s - 11. Let w be l(-7). Suppose 0*x + 18 = w*x. Solve c + 4*q = 0, 4*q - 2 = -x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5211 - 5211. Solve z = -i + 2*i - 1, f = -3*i + 5*z + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(99\/((-5940)\/120)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n + 4*c, 3*n - 3*c - 1 = 2. Factor x**3 + 0*x**n + 22*x**2 + 56 - 30 + x**3 - 50*x.\nAnswer: 2*(x - 1)**2*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f + 1. Let b(q) = -q**2 - 9*q + 6. Let t(r) = -b(r) - 2*p(r). What is t(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111022 (base 3) to base 10.\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/19)\/s)\/s**24*s\/(s*s**(-21))*s**(-1\/2) assuming s is positive.\nAnswer: s**(-129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8158653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 52*j - 14. Let f be b(17). Suppose -f*g = -4*o - 25, 3*g - 37 = -0*o - 2*o. Solve 0 = -2*z - g + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4555243 rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9456070?\nAnswer: 2, 5, 13, 72739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1062151856*y**3 - 467166264*y**2 wrt y?\nAnswer: 6372911136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67589019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*l - 4)*(l + 2*l - 5*l) + 4 - 4 - l**2 + 4 + 2*l - 22*l**2 - 1 + 20*l**2 - 4*l**2 - 15*l**2 - 6*l**2.\nAnswer: -32*l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffffcqqcccfccffcf. What is prob of picking 2 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4634.\nAnswer: -5\/4634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 190 (b) 0.2 (c) 0.1 (d) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 110*d**2 + 8361*d + 73. Determine z(-76).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-124))\/((-91)\/224*-4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 6. Let o(t) be the third derivative of t**3\/6 + t**2. Determine -6*o(f) - u(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 3. Suppose -b = 3*r + 3*b - 5, 12 = -2*r + 5*b. Let a(i) = -i - 1. Determine r*h(j) - 4*a(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6696)\/(-651)*(-14)\/10*(-30)\/(-8)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*h**2 + 9*b*h*k - 567301*h**2*k - 12*h**2 - 92*h - 187 wrt k.\nAnswer: 9*b*h - 567301*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 2*r**3)*(190 - 124 + r + 351).\nAnswer: 2*r**4 + 834*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + 0.15. Let q = z - 0.29. Which is the second smallest value? (a) 0.2 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 25746?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 4585305*w**2 - 1051235048400*w - 7358870020460.\nAnswer: -5*(w - 458534)**2*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 566c (base 14) in base 9?\nAnswer: 22507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -1917\/19. Let h = 23.1 - 25. Let d = h - -2. What is the closest to d in -5, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/246022 and 59\/154?\nAnswer: 2706242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76504093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 671567 to the power of 1\/2, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2014 (base 6) to base 14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000176939 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2163)\/(-2884))\/((-9)\/(-10))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/28)\/3)\/((-2)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 111188343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 4. Let a be z(-4). Let c be -2 + 0 + 89\/4. Let w = c + a. Is w equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -1.7. Let p = g - 1.8. Let h = 0.05 - p. What is h rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -117. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -275 and -43.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31484 = -0*s + 17*s. Is s*(-27)\/(-6) - (-5)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5 + 105*t - 4 - 3 - 4 + 34*t**2. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvvvyyvyvv. What is prob of picking 1 y and 1 v?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36951 is divided by 5219?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 4:57 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -n - 65, -f - 41*n + 38*n = 0. Let h(d) = 2*d - 28. Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -93 - 39. Suppose -g + m = 2*g. What is the remainder when 64 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186622487?\nAnswer: 37, 53, 59, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*m = -89*m - 5*f + 53, -3*f = 15*m - 120 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 134217 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 (-582)\/2*(20 - 542)\/18.\nAnswer: 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(204)\/sqrt(4))\/sqrt(3).\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16293.0000011977 + 16293. What is d rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93362 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3510 - 7062?\nAnswer: -12572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*t + 2078751 + 2671104, 4749900 = 5*a + 5*t. Suppose 5*y = r - 3*r - 950010, -5*r + a = -5*y. What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = -1. Let z be (-6)\/f - (2 - 0). Solve 3*t = -t + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*d**3 + 327*d**3 - 986*d**3 + 330*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1714*a**3 - a**2 - 565*a wrt a?\nAnswer: -10284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 30*c - 29*c. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101112221211 (base 3) to base 11\nAnswer: 465397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2903 + 8073. Is 55 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*p - 224812, -4*p - 6 - 10 = 0. What is c rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 30, -40*l + 112*l + 34 = o + 77*l + 109 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g + 12*g + 15*g**2 - 14*g**2 - 2 - 3. Let w be v(-3). Let t be 265\/85 - -1 - w\/(-17). What is the greatest common factor of t and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, 4, -5, 299.\nAnswer: -5, -1, 4, 18, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5 + 375*o - 745*o + 331*o - 102*o**2 + 36*o**3 + 30*o**4 + 72 = 0.\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 43166959?\nAnswer: 43166964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k. Let b(j) = j**2 - 3*j**2 - 2*j**2 + 3*j**2. Determine m(b(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/60 + 5*d**4\/3 - 46*d**3 - 580*d**2 - 4. Let z(c) = 0. Calculate c.\nAnswer: -46, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s - 10. What are the prime factors of j(13)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - 7.85. Let w = 7.8 + h. Let x = -6 - -5.6. Put w, -1, x in ascending order.\nAnswer: -1, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58720084*f**4 + 33817228*f**2 - f wrt f.\nAnswer: 1409282016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 192410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1156202, 1156203, 1156204?\n\"Answer: g + 1156201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12227722.08 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q**3 - 246*q**2 + 5*q - 13. Is m(40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 47*d + 76. What is v(-22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, -5*v + 3*l = -v + 12. Sort -4, 8, v, -2.\nAnswer: -4, v, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*r**4 + 66\/7*r**3 + 0 - 66\/7*r + 2\/7*r**2 = 0 for r.\nAnswer: -1, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 491 by 5.\nAnswer: 491\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 31*k**2 - 1 + 1 - 1. Is p(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -12. What is the remainder when 35 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6478 + 0*i**3 + 6480 - 4*i**3 to the form r*i**3 + n*i**2 + y*i + q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 294052a - b?\nAnswer: 294051d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -97*l + 261*l + 195*l + 41*l. Let v(p) = p**2. Calculate v(u(k)).\nAnswer: 160000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200088529 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5211*3.5.\nAnswer: 18238.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 16 - 2 + 5*c + 18. Let b(m) = m + m - 6*m. Determine -12*b(z) - 5*o(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 - -130. Let z = -189 - -384. Suppose 0*n - s*n + z = 0. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0754 + 0.07926. What is k rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104034 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:55 PM?\nAnswer: 301","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 1313?\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 65.5. Is 0.11 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s**2 + 7*s - 7. Let u be k(5). Suppose -5*a + 4*i + 1 = 0, 0 = -u*a - i - 2 + 6. Factor 2*p**2 - 3*p**2 + 0 + a.\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 54.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1152.7 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 6. Let m be o(-3). Calculate the greatest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768838 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14*a*a*a**6 assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*y + 38, -3*y - 3 = -i - 5*y. Solve -4*j + 19 = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 360304, 720604, 1080896, 1441180, 1801456?\n\"Answer: -4*c**2 + 360312*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003973524 to 5 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 14*w + 8. What is the hundreds digit of b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 12:20 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(44046109\/(-44046110) + 1). Let c = -205038330 - y. What is c rounded to the nearest one million?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37811?\nAnswer: 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089687.\nAnswer: 3089687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 16*o + 99 + 3*o + 5*o - 6*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13c + 2d5c0?\nAnswer: 2d482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26261\/68 - 1545\/4. Put 4, -0.4, b, 5 in decreasing order.\nAnswer: 5, 4, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/120 - n**5\/30 + n**4\/24 + 8*n**2. Let l be p(-3). Let v = l - -69. Calculate the greatest common divisor of v and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 3*q + 3. Let l(f) = f**2 + f - 1. Calculate 3*l(c) - t(c).\nAnswer: c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 3*d**2 - 3*d**2)*(-2*d + 23 - 10 - 16).\nAnswer: 8*d**4 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 289806*k - 6998959803 = 0 for k.\nAnswer: -48301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 941337 times -0.2\nAnswer: -188267.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005840587 to seven decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.18, -2\/13, -4, 3, -0.2.\nAnswer: -4, -0.2, -2\/13, 1.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**2 - 5*d + 18. Let o be (1*3)\/((-6)\/(-10)). Let q(u) = 7*u**2 + 6*u - 19. Let n(a) = o*q(a) + 6*v(a). What is the derivative of n(s) wrt s?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*m = 76*m - 45. Is -1 + (-7 - m) + 1500 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52189370*j**2 + 57563190?\nAnswer: 104378740*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 - 2*q**4 - q**4)*(22 + 0 - 3)*(-1 + 1 - 1 + 1 - 2 + 0 + 3 - 2 + 0 + (-1 + 1 + 2)*(-1 + 4 - 1) + 2 + 4 - 4 + 2 + 1 - 6).\nAnswer: 38*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + q**2)*(4*q - 4*q - 4*q**2)*(-3 - 8 + 0) as w*q**3 + t*q**4 + u*q**2 + z*q + s and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12744813 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2257\/754 + (-14)\/(-42)*-9. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 626331720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 8. Let w be (-4)\/(5\/(q\/(-4))). Let s = -1.9 - -2. Is s smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 15 (b) -2 (c) -2\/11 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 8. Let k be j(5). Suppose -14*c + 326 = -k*c. List the prime factors of c.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16)*-26*312\/(-676).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 445 - 439321.86.\nAnswer: -438876.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/40 in 1\/4, 1, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 13) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 73.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*z + 1 - 1.\nAnswer: 77*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -25*r + 1. What is b(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79320196.\nAnswer: 2, 31, 639679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*p)*(p**2 + 0*p**2 + 2*p**2) - 4*p**3 + 3*p**3 + 2*p**3)*(0*p + 2*p - p) - 5*p**2 + p**4 + 5*p**2.\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.80839 to 2 decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n - 10. Let l = -8 - n. Solve 0 = 2*t - 3*c - 2, -l*t - 3*c + 1 = 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 not equal to -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 - p - 4. Suppose 4*n - 6 = 7*n. Let h be m(n). What is the greatest common factor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001247 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87058 is divided by 1892.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22021 = 1064*f - 1279*f - 2281 - 1498 for f.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 + 7. Let n = -136 - -123.8. Let y = n - t. Round y to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233240 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 14 = -h - 4*c, 3*h + 4*c = 26. Suppose 10*q - 5*o + 10 = 7*q, -h*q - 11 = o. Let t be 5\/10 + q\/((-10)\/39). What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**5 - x**5 - 4*x**5)*(-27 + 12 - 6).\nAnswer: 21*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 5*h. Let s(x) = 2*x**2 - x + 3*x - x**2. Let q(r) = -r**3 - 41*r**2 - 7*r - 292. Let j be q(-41). Calculate j*s(t) - 2*w(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + -5*(sqrt(245) - (-2*sqrt(245) - sqrt(245))))*-6)**2.\nAnswer: 1451520*sqrt(5) + 127028736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 148561515.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*q - 2*l, 3 = 3*q - 4*l + 6. Suppose -2*o + 40 = q*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 - (-4)\/(-2). Suppose v + 81 = o, l*v + v + 333 = 4*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*32.09\nAnswer: 3.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199637787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioii when four letters picked without replacement from {o: 7, i: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -363 + 388. Let f(p) = 4*p - 1. Let r be f(1). Suppose r = -n - 4*z + 4, 0 = -5*n + 2*z + 71. What is the remainder when x is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2344 (base 5) to base 6\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -39*p**2 + 2. Let w(z) = z**2. What is w(f(t))?\nAnswer: 1521*t**4 - 156*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 6. Let a be w(7). Let o(y) = -4*y - 1. Let v(m) = 1 + 2 - 2 + 4*m. Let d(x) = -2*o(x) - 3*v(x). What is d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51984 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2 (c) -0.017 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740824649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 27 + -15 - 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/7 + 418132*k\/7 + 418130\/7 = 0.\nAnswer: -209065, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5 = -0*j + j, -5*j - 25 = q. Let d(z) = -4*z - 3 - 4 + q. Let y(l) = -l. Let t(s) = -5*s + 1. Let n(x) = -t(x) + 6*y(x). Determine d(o) - 6*n(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 5\/1 - (-6 - -1). Suppose -f = -2*b - 1, b - 7*f + 10*f = -u. Sort -34, 1, 4, b.\nAnswer: -34, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 113\/2. Find the common denominator of -143\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-8 - -10) - 17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429 - 429.1. Which is the closest to r? (a) -0.4 (b) -2 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**7\/42 + h**5\/30 + 121*h**3\/6 + 26*h**2 + h. What is the first derivative of y(j) wrt j?\nAnswer: -20*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 14*v**2 + 2*v - 24. Let h be c(14). Suppose -h*q + a - 3*a = 0, -5*q - a = -3. Let b be -2*13\/(-30) + -1. Is q greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)\/(s**(-2\/3)\/s))**17)**(-2\/7) assuming s is positive.\nAnswer: s**(-221\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -1\/12*o**4 - o + 1\/2*o**3 + 0 + o**2. Let k(q) be the first derivative of j(q). Find the first derivative of k(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**6\/120 - n**5\/60 + n**4\/12 - n**3\/2 - 699*n**2. Calculate t(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 0 + 0)*(1 - 2 + 2) + 4*u + u - 4*u)*(-4*u**3 + 0*u**3 + 8*u**3)*(7*u + 6*u - 3*u).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 70?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273 + -197. Calculate the greatest common factor of m and 684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 16 = 46. Suppose 303 = h*i + 51. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 2 + 2 + (4 - 5 - w + 4)*(-4 + 69 + 3) to o*w + f and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 40962.03 hours?\nAnswer: 147463308000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4128410 and 18590?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14684*c - 62889784 + 62889784 to the form l + r*c and give r.\nAnswer: -14684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-74 + 83).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -151.8 and -268763.89.\nAnswer: -268915.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -57 + 21. Let w be 33\/(-22) - (-5)\/2. Suppose -w = 2*g + i. Let o(l) = -2*l + 2. Let k(z) = 2*z - 2. What is g*o(f) - 4*k(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k + 30. Let t = -4 + k. Solve t*d - d - 4*n = 5, -3*d - 10 = -5*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 3*f**2 - f. Let q be t(-3). Let x = 54 + q. Suppose -x*h = 4 - 16. Solve 22 - 6 = -h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 578, 1213, 1848, 2483, 3118, 3753?\n\"Answer: 635*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016335 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12307004*n**5 - n**3 - n - 194744810?\nAnswer: -246140080*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:13 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2405 and 1345135.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 - 9 = 0. Find the third derivative of -s*b**3 + b**3 + 4*b**2 - b**2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-16)\/12*1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 2 + 31*n**3.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:37 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -3\/11, -3\/131?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 51. Let d = -0.21 - 5.79. What is the nearest to c in d, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -352652, -352554, -352456, -352358, -352260, -352162?\n\"Answer: 98*m - 352750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 54. Suppose -19*l = 19*l - 9*l. What are the prime factors of b(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4773504176\/33 + -144636150. Let q = m - 15490. Calculate the common denominator of 18800\/2600*(-26)\/(-12) and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2311920\/76050)\/((2\/8)\/((-15)\/(-48)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 12. What is the remainder when 95 is divided by a(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3449605 - 3449608.300106. Let h = p + 3.3. Round h to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8991464 divided by 28454?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 866796003.3 rounded to the nearest 10000?\nAnswer: 866800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmxx when four letters picked without replacement from nmxxxuuxxxxm?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 5 + 6*r + 23 - 6.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36 - 0.06. Let v = -3.01 - -0.93. Let y = v - -0.08. Sort y, q, 2\/5 in decreasing order.\nAnswer: 2\/5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98164 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 156\/234*(-90)\/(-4). Calculate the highest common divisor of p and 330.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 + 205.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 67. Calculate the remainder when 103 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -7, 508 in decreasing order.\nAnswer: 508, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 366*i + 2310. What is the remainder when 209 is divided by z(-6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -9, -3, -1, 2, -2, 0 in ascending order.\nAnswer: -9, -3, -2, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -28. Suppose q - 6 = -w*q + r, 0 = -4*q - 4*r + 16. Suppose -l = q*l - 63. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17648456, -17648459, -17648462, -17648465, -17648468, -17648471?\nAnswer: -17648474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 200*f + 350. Let l(m) = m + 1. Give -3*k(z) + 1050*l(z).\nAnswer: 450*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, l: 10, b: 2, m: 3, s: 1}. What is prob of sequence blqs?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -14*p - 7*p. Suppose -b = -5*v + 115 + 81, -4*v + 4*b + 160 = p. Suppose -3*l - 20 = -4*l. Calculate the remainder when v is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 26\/321, 0, 3, -0.3, 88, -0.4?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 734\/4)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*n - 14, -2*s + 8*n = 3*n + 2. Differentiate -6 + r**s + 46*r**2 - 46*r**2 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c**2 + 68*c + 3. Let r = -48 + 59. Let u(n) = -5*n**2 - 23*n - 1. Let g(x) = r*u(x) + 4*s(x). What are the prime factors of g(-6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*(c*(c\/(c*(c*c**(-4\/7))\/c*c))\/c*c)\/c)\/(((c**0\/c)\/c)\/c)**(2\/139))**(-41))**43 assuming c is positive.\nAnswer: c**(-1054274\/973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 76*w**2 + 68*w - 39\/2*w**3 + 0. Differentiate q(j) with respect to j.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 44106.\nAnswer: 2161194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4 = -d. Solve d*z = 5*q - 0*q + 25, -5*z - 5 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*j**3*p**3*x + 2*j**3*p**2*x + 9*j**3 + j**2 - 78*j*p**3 - 7*j*p**2*x - p**3*x + 2*p*x + 2*x wrt p.\nAnswer: -2412*j**3*x - 468*j - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let z be (-10)\/(-8) - 2\/(-8). Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 4*u - 4 = 4*s, -3*u - 4*s + 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(75)*2 + -5*sqrt(75)*-2)**2.\nAnswer: 480*sqrt(3) + 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 32. Let t be q(10). Let n(g) = 30*g + 24. Let p(j) = j + 1. Let a(d) = t*p(d) - 3*n(d). Let u(h) = 3*h**2. Give u(a(b)).\nAnswer: 972*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 11852, -2\/3, -3 in descending order.\nAnswer: 11852, 2\/5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15969 = -t - 15975 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 - 4*v**2 + 3. Let j(x) = -3*x**3 - 3*x**2 + 4. Let t(d) = -3*j(d) + 4*k(d). What is the third derivative of t(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 377 = -3*s + 4*b, 375 = 3*s - 3*b. Let k = s + 31. List the prime factors of k.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -0*u. Suppose 0 = -5*f - 2*j + 39, j + u*j = -12. Calculate the lowest common multiple of 8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -x + 7, -v = -3*x - 5*v + 23. Suppose -11831 = -442*j + 545. Suppose p - x*t - j = -t, p + 12 = -4*t. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22*l**2 + 22*l + 7. Let c be x(4). Let n = 264 + c. Calculate the smallest common multiple of 352 and n.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h + 337. Let t be r(48). Sort 5, t, 3, 56 in decreasing order.\nAnswer: 56, 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9154968 + 5259*t - 9154968 in the form x + u*t and give u.\nAnswer: 5259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 1.04. Let a = 8 + -14. Let m = -3 - a. What is the third smallest value in m, l, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59c8f4 (base 16) to base 7.\nAnswer: -101004644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 25*t - 10 = 0. Suppose 3*y + 15 = -t*y. Let v(p) = p**2 - 2*p - 3. Give v(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15192)\/9495*9\/(-8).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.502 + -5.502. What is the second smallest value in d, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*m*p**2 + b**2*m*p + b**2*p**2 + b**2*p - 19*b*m*p + 180*b*p**2 wrt p.\nAnswer: -2*b**2*m + 2*b**2 + 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 10b?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1657 - 39 = 36*c + 898. Solve u + 6 = 0, -7*p + 8*p + 3*u + c = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 18*z + 455. Let n(i) = 3*i - 3. Suppose l + 2*l = 12. What is the least common multiple of n(l) and x(-25)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6642\/(-72) - (-2)\/8)*321\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 6 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2))**(-11\/4))**48)**1)**(11\/3) assuming w is positive.\nAnswer: w**968","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 833144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -0*g - 864. Let q = -252 - g. Is (-9)\/(q\/8)*30 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m + 3*r - 43 = 0, -m - 5*r = 9. What is the least common multiple of 1 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + 3\/(336\/(-74)). Which is the second biggest value? (a) -5 (b) 0.4 (c) 0.1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 8*x**2 - 6*x + 13. Let b be n(-7). What is the second derivative of -u**4 + 2*u**5 - b*u**5 + 22*u + u**4 wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.7 - 55.6. What is d rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -38) + (-8 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1220 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7 = 2*v - 1, 12 = -3*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/28468 and -50\/12860419.\nAnswer: 51441676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 93 = 103. Let y be 4 - ((-208)\/s - 4). Factor 16\/7*f + 12\/7*f**2 + y.\nAnswer: 4*(f + 1)*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {a: 2, s: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.174 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 - 3*p. Let d be w(-3). Suppose d = -5*r + 8 + 12. Differentiate -1 + j**4 + 2 - r - 1 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3 + 32*s + 5)*(2 + 3 - 3) as z*s + j and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 8) in base 15?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/125 and -59\/40.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6313746911 to the power of 1\/2, to the nearest integer?\nAnswer: 79459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c - dc?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7374 (base 11) to base 9\nAnswer: 14345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 - 6*t - 3. Determine r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/5 (c) -1 (d) -4.5154 (e) -4 (f) -9 (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 7*i**2 - 522*i + 119*i + 403*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166195978 to the power of 1\/2, to the nearest integer?\nAnswer: 12892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 - 189. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13662.8 rounded to the nearest 100?\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/((((v**(-2)*v)\/v)\/v)\/v)*(v**(-8)\/v*v)\/v)\/(v*v\/((v\/v**1)\/v))**(-2\/29))\/(v**(-11)*v**(-2\/11))**(8\/17) assuming v is positive.\nAnswer: v**(18812\/5423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171567*k**5 - 46*k + 152.\nAnswer: 3431340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -6, 2\/5, 90.5, 54?\nAnswer: 90.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185410.\nAnswer: 2, 5, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - (-30)\/(-24))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/24 in 23\/4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8.9 (b) -0.5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-6)\/(-4))\/(27\/9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 12. Let b(y) = 100 - 32 - 34 - 35. Give 10*b(a) + n(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-127 - -3)*(-1)\/2. Let f = g - 26. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 49 + 3770*s**2 - 2*s - 3772*s**2 - 24 + 2*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 - -190. Find n, given that n**y - 37*n + 61*n - 27*n = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10619 and 1879.\nAnswer: -19953101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010110100011100011 (base 2) in base 11?\nAnswer: -5502a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 765\/105 - 2\/7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 49866 - 50579 = 0 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655749 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7849, 15849, 23845, 31831, 39801?\nAnswer: 47749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) - (1 + (sqrt(1300) + 1)**2) - -2*sqrt(1300)*-2.\nAnswer: -1302 - 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 479895 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8103 is divided by 7956?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u - 12. Let i(q) = -q**3 + 6*q**2 - 2*q + 3. Let s be i(5). Suppose -3*z + s = -3. What is the tens digit of d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/60?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2\/2 - 3. Suppose l + 4*l = 325. Let y(g) = 65 - l + 11*g**2. Give w(y(u)).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158181, 316578, 474985, 633408, 791853?\nAnswer: 950326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 3. Let n be x(-4). Let c be ((-1)\/(-2)*2)\/((-2)\/(-4)). Let o be 2*c - (11 + -7). Solve o = -2*t + n + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8 = l + 1, -4*l = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o - 11. Let b be (-2 - 0) + (8 - o). Suppose b*k - 5*v = 95, -2*k + 3*v = 6*v - 55. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -102. Let c = -2\/249 - 3229\/996. What is the common denominator of ((-8)\/a)\/(10\/202) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-3))\/(30\/(-45)). Suppose g*p - 4 = -0*p. Suppose 2*q + 161999 = -p*l + q, l + 81004 = 4*q. What is l rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 2*n - 1. Suppose 2*p - 2*f - 8 = -0*f, -2*p + 11 = -3*f. Let b be (-8 + 6)\/(-1 - p). Give q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o - 6, 2*s - 6 = 2*o. Let n(g) = -35*g + 1. What is the least common multiple of n(s) and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3266.36 to the nearest ten.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41596906 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11053783 is divided by 2763442?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*f**2 - 38*f**2 + 70*f**2)*(8*f**2 + 12*f**2 - 8*f**2).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 103*a - 25. Let z(t) = -338*t - 1. Calculate z(f(n)).\nAnswer: -34814*n + 8449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 - -297. What is the remainder when r is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091.2593 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let t = 39.8 + -11.3. Let h = 28 - t. Sort 3, f, h in decreasing order.\nAnswer: 3, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3877311 - -13?\nAnswer: 3877324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177004680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2. Let j(h) = -8 - h**2 - 12 + 20. Let w(v) = 3*j(v) - x(v). Let l(z) = -2*z**2. Give l(w(q)).\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 3*r = -252. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g**2 - 389310*g - 2531891 wrt g?\nAnswer: -10*g - 389310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(-18 - -85 - 13). Solve z*x = -37 - 44 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1890 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 4.2?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 275 = -22*x. Solve a - 3 = 4*o, -x*a - o = 8 - 23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 27*a**2 + 948*a + 64. Let i be s(-35). Let d(p) = p**3 + 41*p**2 - 3*p - 118. What is d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 5. Let c be (-9 + 1)*9\/18. Determine a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22466, -21999, -21534, -21065, -20586, -20091?\n\"Answer: h**3 - 7*h**2 + 481*h - 22941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 128.8974252?\nAnswer: 129.1974252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97844.06 micrometers in nanometers?\nAnswer: 97844060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*y**3 - 5*f**2*y**2 - f**2*y - 119*f**2 - 2*f*y**3 + 462*y**3 wrt y?\nAnswer: 12*f**2 - 12*f + 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 y when three letters picked without replacement from ayvxxeeyxevyvexy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2436 (base 10) to base 3.\nAnswer: -10100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324044 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259.01 - 257. Let k = s - 2.51. Put 0, 1\/3, 15, k in decreasing order.\nAnswer: 15, 1\/3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3195)\/(-1704) - (-238)\/(-144)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5025*v**2*z**4 + 2*v**2 - 1657 wrt z.\nAnswer: -20100*v**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -42791847*x. Let r(y) = 5*y**2. Calculate s(r(c)).\nAnswer: -213959235*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14688399 is divided by 1121.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423 and 189363?\nAnswer: 568089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22507*o**2 + 70*o + 75*o + 22505*o**2 + 25*o + 55*o - 2*o**3 + 2 to n*o**2 + a*o + l*o**3 + c and give a.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.076 * -485.\nAnswer: -36.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55983280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b + 96. Let p be 2718\/246 - (-54)\/(-1107). What is t(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)*u*u)**(2\/17))**(7\/6)*u\/u**(1\/5)*u*u*u**(-3)*u*u*((u\/(u*u*u\/u**(-5)))\/u)\/((u**(-3)*u)\/u*u) assuming u is positive.\nAnswer: u**(-1323\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1440 and 0.4?\nAnswer: 1439.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 2*s + 10, -1260*a + 11*s - 17 = -1262*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76440 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -39*r + 37*r - 48, -4*r - 48 = 3*j. Which is the closest to 0.1? (a) -0.1 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.3498 to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3 * -1.1.\nAnswer: -4.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 - 50*c**3 - 43*c**3.\nAnswer: -111*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020322 (base 4) in base 12?\nAnswer: 284a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-3 - (-4 + (sqrt(20)\/sqrt(4))**2))*1.\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/19 (b) 49 (c) -3 (d) 0.82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 2*l, 10 = -2*w + 4*l. Let p(b) = -b**3 + 6*b**2 - b - 4. Calculate the smallest common multiple of p(w) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-6)\/12). Let l(a) be the second derivative of 0*a**2 + 0 + 0*a**4 + a + 1\/10*a**5 - 1\/6*a**d. What is the second derivative of l(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((9 - 1) + -11)*(-8)\/6. Let c(x) = 21*x**2 + x - 10. Is c(d) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47568 is divided by 116.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 118. Let i be o(24). Let h = 42 + -42.2. Which is the nearest to h? (a) 1 (b) 0.2 (c) -0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290866931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 - (-1)\/1. Let x be (8\/(-5))\/((-8)\/20). Differentiate x*k**3 + 2 + k**3 + 0*k**3 - 2*k**d with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 7, -27, -0.6, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 1 - 2 + 1)*(179*k**2 - 150 - 84*k**2 - 93*k**2) to the form j*k + p*k**4 + h + r*k**3 + a*k**2 and give a.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2*d**3 - 2*d**3 + 5*d**3) + 24*d**3 - 235*d**3 + 9*d**3 + 0*d**3 + 2*d**3 + 0*d**3.\nAnswer: -199*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 2*i**4 - 2*i - 3590*i + 3590*i - 817*i**4 + (2*i**3 + 1 - 1)*(0 + 3*i + 0).\nAnswer: -809*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3118 and 0.2?\nAnswer: 623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/7, 2, 0.4, 0.0452, -125, -0.5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*p + 126, -4*p + 62 = 2*d - 6*p. Solve -5*q = -2*y - d, -q + 1 = -2*y + 4*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1\/683, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 2*o + 2. Let p be f(-4). Find the common denominator of -79\/12 and (-715)\/28 + 12\/p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*q = 32, 0 = -5*v - 3*q + 12 + 23. Suppose v*o = -4*z, 0 = 2*z - z - o - 2. Calculate the lowest common multiple of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h - 30*h - h + (2 - 3 + 2)*(h - 1 + 1) as j + k*h and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*b + (-2 - 2 + 3)*(0*b + 0*b + 2*b))*(2*b + 3 - 3) as a + c*b + f*b**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 - 5*n + 6. Let s be i(4). Suppose s*b - 4*b + 16 = 0. Suppose 12*r = 11*r + 14. What is the remainder when r is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4927 + -0.4927. Which is the nearest to -179? (a) 3\/7 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -5*b + 1\/2*b**2 + 24. Give p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/503 - -523\/5030. Let a = 316 - 313. Let d = -12 - -14. What is the closest to -2 in d, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r - 12. Suppose 0 = 4*p - 2*n - 16, 2*p + r*n = 15 + 5. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1686207.836 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhzezelheez. Give prob of sequence ezee.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1728 = r, -3*r + 1744 = 4*m - 4*r. What is the remainder when m is divided by 79?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -2863*a**6\/30 + 15*a**4\/2 - a**2 + 857*a. What is the third derivative of m(t) wrt t?\nAnswer: -68712*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((2\/7)\/(10\/(-35)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*t + 4*i + 7, 0 = t + 4*i + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 1, e: 1, f: 4, h: 7}. What is prob of sequence qze?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.1, -20595908 in decreasing order.\nAnswer: -0.1, -1\/3, -20595908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -25573385.9 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13 + 2 + 2*t + 2*t + 6. What is the tens digit of r(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(768)*-3) + 2*sqrt(19)*3 + 0 + 1.\nAnswer: 1 + 143*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5\/3, 128, 305, 1\/3 in descending order.\nAnswer: 305, 128, 1\/3, -0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 31. Calculate the remainder when m is divided by (5\/(-1) - -6)*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 2*l**2 + 2. Let b be z(2). Let j be (-14)\/(-4)*1*b. Suppose 0 = 4*n - j*n + 45. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 - 7*c**5\/60 - c**4\/6 + c**3\/2 - 4*c**2. Let f be r(-6). What is the units digit of 2 - 1 - f\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2\/3 + 706124*y = 0. Calculate y.\nAnswer: 0, 529593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 2*a - 3*a. Let m(p) = -30*p - 36*p - 2*p**2 + 99*p - 33*p. Determine j(m(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olzp when four letters picked without replacement from {p: 1, o: 2, l: 1, z: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b = -48*b + 1784440 + 446097. What are the prime factors of b?\nAnswer: 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(125) + 2)*6)**2.\nAnswer: 2880*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6144 + 14147 + 9189 = 134*r. Calculate the remainder when 27277 is divided by r.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279809 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f + 3*c - 158, c = -5*f - 361. Let i = f + 76. Solve z = 2*z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:39 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1482\/(-1235)*15*(-2)\/(-27).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6992 (b) 4 (c) 54 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**40\/(y**(-5)\/y**(-2\/5)))**(10\/9) assuming y is positive.\nAnswer: y**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(19 + w**2 - 5 - 2*w**2)*(8*w**2 - 2*w**2 - 2*w**2).\nAnswer: 12*w**4 - 168*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 6322\/(-20) - 39\/(-26). Let t = -316 - d. Is t smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 2*l + l. Suppose -23*m + 302 = -3*k - 28*m, k + 3*m + 102 = 0. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (209\/(9614\/5980))\/15.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 52*z**2 - 20*z + 1042. Let f be d(52). Put 3, f, -80 in increasing order.\nAnswer: -80, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4270.7+-32944775.5\nAnswer: -32940504.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 12. Let k(o) = -36*o**2 - 3*o + 1. Calculate s(k(j)).\nAnswer: 144*j**2 + 12*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/60 - q**4\/24 + q**2. Let n be o(1). Let m(k) = -2*k. Give m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10639514 to the power of 1\/2, to the nearest integer?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3555)\/2607*4\/20*8.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(12 - 7 - 8). Let c be ((-2)\/4)\/(476\/80 - q). Solve -o + 3*o - c = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 3*g**4\/8 - 3*g**3\/2 - 174*g**2. Determine x(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 2*v - 9*v + 10 - 32 = h, 15*h + 336 = h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {x: 1, n: 1, z: 1, m: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -9. Let g = -896\/5 - -179. Which is the nearest to g? (a) s (b) -3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -19*c - 1. Give k(-11).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64503331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -96051, -192079, -288059, -383967, -479779, -575471, -671019?\n\"Answer: 4*s**3 - 96056*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*f = -233*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/12744656?\nAnswer: -9\/12744656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m**4 - 4269*m**3 + 14640*m**2 - 13812*m + 3456 = 0.\nAnswer: -288, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 50614700*g - 320230982011250.\nAnswer: -2*(g - 12653675)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (266\/28)\/(22249\/(-259962))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 253561 + -401?\nAnswer: 253160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 - 10*c**2 + c**2.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 41*q**2 - 12*q. Let n be 70\/22 + (9 - 909\/99). Let v(t) = 40*t**2 - 11*t. Let x(d) = n*j(d) - 2*v(d). Find the second derivative of x(l) wrt l.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -197. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x - 25 = 72 - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:32 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, -26, 0.1, 6\/5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 3*t**2 + 18*t + 13. What is the remainder when g(-6) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355864 divided by -5\nAnswer: -355864\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + 4 + (1 + -2*sqrt(1300) + -4)**2.\nAnswer: 120*sqrt(13) + 5223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/11 - 2092*u**3\/11 - 730800*u**2\/11 - 85741632*u\/11 - 168576768\/11 = 0. What is u?\nAnswer: -348, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/8)\/((-8)\/(80\/(-15)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 5. Suppose 2 = l - 1. Suppose -17 + 1 = -4*h. Solve -l*j - 25 = -h*n - 4, u = -j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 5 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2958 - 2957.85. Which is greater: 1\/30 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204810 by 29.\nAnswer: -204810\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1314 = s + 1315 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -88, 1, -2\/7, 5, -1, 0, 0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4\/8 - 42*a**3 + 5535*a**2\/4 - 5043*a - 2274393\/8 = 0?\nAnswer: -11, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 79\/2 of a millennium?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-9)\/(-3) + 2. Solve 0 = 4*m - 3*n + z*n + 13, -3*n = 2*m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40793339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006154379 less than -0.61?\nAnswer: -0.6106154379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 4*w - 313 + 163.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/1373, -3\/2, -1.8 in decreasing order.\nAnswer: 2, -2\/1373, -3\/2, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5\/19 - 18*g**4\/19 - 482*g**3\/19 - 2030*g**2\/19 + 600*g\/19 + 11000\/19 = 0.\nAnswer: -5, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*v + 6*g + 31, -v + 8 = 4*g. Let d = v - -22. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-900)\/70 - -6) + 7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-147)\/(-7) - 2. Let s(x) = 10*x + 210. Let q be s(u). Solve -6*g = -q*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -48. Let a = -10 - f. Suppose 2*p + 14 = 2*h, 2*h + 27 = 3*h + a*p. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t**2 + 5*t + 8. Let g be y(6). Let h(v) = 6*v**2 + 0*v**2 - 5*v**g - 3*v - 2 + 1. Calculate the remainder when 26 is divided by h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 126 + 2*t - 37 + 100.\nAnswer: -t + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12.506 times -0.03\nAnswer: 0.37518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtxbgblyt. Give prob of sequence blg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 624012, 624010, 624008, 624006, 624004?\n\"Answer: -2*s + 624014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30099574.\nAnswer: 2, 31, 37, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2487006\/18414 + (-6)\/99 + -31\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 15*q - 18*q. Let b be (0 + 26)*q\/(-16). Solve 3 = 4*s - 7*s, -3*d + 4*s = -b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t**2 + 18*t + 49. Let x be f(-6). Let z = 142 + -63. Calculate the highest common factor of x and z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 + 6154*j - 3939648 = 0.\nAnswer: -3621, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*n, -22*r + 4*n = -26*r - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 97, 140?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.368677 to 3 decimal places.\nAnswer: 20.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2630161 divided by -59\nAnswer: 44579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + 3 - (18 - 14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 570 = 5*o, 4*u - 337 = u - 2*o. Suppose -2*j - 3*j = -2*t + 106, -3*t - 5*j = -u. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 8. Let p be j(5). Let o(y) = 3*y. Let w(b) = -13*b. Let r(f) = -18*o(f) - 4*w(f). What is the units digit of r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 10. Let f be ((-3)\/14)\/(n\/(-8)). Let l = -0.03 + 0.43. Which is the closest to 0? (a) f (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 5, 1\/72?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 - 11*a**3\/3 - 16*a**2 - 28*a - 263. Factor q(c).\nAnswer: -(c + 2)**2*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2477.349871 - -0.05?\nAnswer: -2477.299871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2*s + s)*(-1 + 0 + 2) + 4*s + s - 4*s - 4397 + 4397 - 652*s as c + l*s and give l.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 384\/12 - 0\/(-1 - 0). What is the first derivative of 17 + 15 + 5 - 9 - n*y**2 wrt y?\nAnswer: -64*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t + 1. Let p(o) = -73*o - 12. Let h be p(2). Let n = -155 - h. Give i(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 3*i + 4. Let y be g(4). Let p = -0.025 + 414.825. Let t = p - 415. What is the closest to y in 1\/6, -2\/3, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 4*x**2 + 4*x - 4. Let a = -12 - -16. Let w(y) = -2*y**3 + 3*y**2 + 3*y - 3. Let q = -2 - 1. Give a*w(z) + q*b(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 74 (c) 33 (d) 3 (e) 3959\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3 + 4*q**2 + 8*q - 3 - 7 - q**3. Let f be (10\/(-6))\/(2\/(-6)). Calculate k(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + c**3 - 2 + (3*c**2 - 2*c**3 - 3*c**2)*(-2 + 5 - 4) + 1 - 1 + c**3 + (5*c - c**2 - 5*c)*(2*c - c + 2*c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(3200))**2 + -3.\nAnswer: -160*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4 + -1)*(1 + -3663) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 2*o**5 - 4*o**5 - o**5 + o**5 - o**5 + o**5 + 0*o**5 + 0*o**5 + (o**4 - o**3 + o**3)*(3*o - o - 4*o) + 0*o**3 + 0*o**3 - o**5.\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, l: 5}. What is prob of sequence lff?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-7*n**2 + 0 + 0)*(-5*n - 15*n - 2*n).\nAnswer: -154*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 5*a + 59 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 9634650?\nAnswer: 10598115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taaaaataaaaaa. What is prob of picking 2 a?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2. Let c(k) = -6*k**2 - 11*k. Let o(y) = -3*y**2 + 1. Let s be o(1). Let z(d) = d**2 + 2*d. Let l(t) = s*c(t) - 11*z(t). Give l(r(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.942 (b) 0.3 (c) 9 (d) 0.4 (e) -3\/4 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0, -39, 1\/7, -227 in decreasing order.\nAnswer: 1\/7, 0, -0.06, -39, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:19 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38517885 and -4?\nAnswer: -154071540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.30511923 to 3 dps.\nAnswer: 1.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(-1 - 1 + 0) + (2 - 3 + 2)*(-1 - 3 + 6) + 3 + 1 + 0)*(62*v**5 - 41*v**5 + 429*v**2 - 20*v**5).\nAnswer: 2*v**5 + 858*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-2\/49))**25*((n**3*n)**(-2\/15))**19 assuming n is positive.\nAnswer: n**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 2. Let y be h(-4). Let r(b) = -b**3 - b**2 + 8*b - 7. Let f be r(1). Sort y, 12, 2, f in decreasing order.\nAnswer: 12, 2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862318 is divided by 155?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - y**3 - 3 - 2)*((0 + 0 + 1)*(2*y - 6*y + 3*y) + 4*y + 0*y - 5*y - 3*y - y + 0*y + 17*y + y - 5*y).\nAnswer: -7*y**4 - 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/9 and -39\/457.\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 3*f**4 + 0 + 71*f**2 - 72*f**3 + 401*f**2 wrt f?\nAnswer: 72*f - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/3, 3, 16 in descending order.\nAnswer: 16, 3, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + 6. Let o = c + 1.9. Let l = 3 - o. What is the smallest value in 4, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9986843ml to litres.\nAnswer: 0.0009986843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -28. Let l = 1892 - 1885. Suppose -a*k = -l*k - 80. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-80)*126\/27.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 t, and 1 j when four letters picked without replacement from {j: 3, t: 2, y: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 4, 0 in increasing order.\nAnswer: -6, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**5 + 13*z**4 - 283*z**3 + 527*z**2 + 13. Let f(d) = 5*d**5 + 6*d**4 - 141*d**3 + 264*d**2 + 6. Let g(j) = 13*f(j) - 6*s(j). Factor g(r).\nAnswer: 5*r**2*(r - 3)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77602121687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552453611.\nAnswer: 3, 89, 5814433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.58 and -2898.01.\nAnswer: -2897.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81112907 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 44 = -3*m. Let s(b) = 164 + 174 + 142 - 13*b - b**2 + 196 - 618. What is the units digit of s(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*n - 3*n**2 + 6*n**3 + 4*n**2 - 91*n wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 276250869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8355.92 micrometers in kilometers?\nAnswer: 0.00000835592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*p - 6851 - 9315 = -3322. Let x be (25\/10)\/(2\/76). What is the greatest common divisor of x and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114995227 is divided by 3919?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, f: 6, o: 6, e: 2}. Give prob of picking 1 e and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -257*k**2\/2 + 217*k - 277. Differentiate v(f) with respect to f.\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 190101*s + 570318. Determine j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, 52\/7, 1, -0.5, 2, 1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.33026 microseconds to minutes.\nAnswer: 0.000003022171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352456151 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204, -1565, -5254, -12435, -24272, -41929, -66570, -99359?\n\"Answer: -194*y**3 - 3*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*z = 2841, -3*y + 1153 = -z - 554. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 1 = r, -r - 5*t - 5 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 a when three letters picked without replacement from aacaccaccccaacaaaaca?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25550)\/(-1600) - (-35)\/1120?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4761*k - 1715 = 4516*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-400)\/(-6)))\/(122\/(-610)*-2)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 0.2, 128, 2\/103, 3, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 = -6*j + 2*j, -4*c + 22 = -3*j. Suppose -c*m - 6 + 18 = 0, 3*i - 3 = 3*m. Solve 3*h = b + 7*h, 4*b = -i*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 8022?\nAnswer: 72198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11664 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/264 + (-2)\/16 + (-124)\/(-24). Solve 0 = -b*t + 32 - 62 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17.7, -4\/17, -0.4, -0.2, -1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - (83 - (-76 + 108)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22*u**3 - 135*u**2 - 75*u - 115. Is l(-47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.223 (b) 2 (c) -70 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(245))**2 + sqrt(245) + -2)*5.\nAnswer: 315*sqrt(5) + 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*m**2*n**3 + 44*m**2*n**2 - 2*m**2*n + 2333*m*n**3 + 3*m wrt m?\nAnswer: 42*n**3 + 88*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 19*v**2 - 9*v - 4. Let f(m) = 5*m**3 - 39*m**2 + 16*m + 7. What is 4*f(l) + 7*w(l)?\nAnswer: 6*l**3 - 23*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20123159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(1 + (sqrt(320) - (sqrt(320) + -5*(sqrt(320) + sqrt(320)*-2) + sqrt(320)))))**2.\nAnswer: -864*sqrt(5) + 103689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Suppose r = 5*x - 2*x + 3. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1528 + 6*u - 765 + 3*u**4 - u**3 + 2*u**2 - 756 as i + d*u**3 + r*u + n*u**2 + z*u**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9993 + -0.0007. What is the nearest to s in 2, 4\/3, 5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-14)*1*16\/72*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -224*o**6\/15 - 323*o**2 + 134*o. Find the first derivative of q(v) wrt v.\nAnswer: -1792*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37707649?\nAnswer: 7, 17, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(-5*(-2 + sqrt(28)\/sqrt(4)))**2 + (sqrt(1575) - (sqrt(1575) - -1*sqrt(1575)) - sqrt(1575))\/(1*sqrt(441))).\nAnswer: -2200 + 5620*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5948 at least 5944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, q: 2, y: 2, n: 3, h: 1, t: 1}. What is prob of sequence hfq?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/10)\/((-611)\/940). Which is bigger: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101011 (base 3) to base 16\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212593110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995325565775 minus 12?\nAnswer: 3995325565763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -411*n + 751*n - 611*n + (4 - 4 + 2*n)*(-2 - 1 + 1).\nAnswer: -275*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let p = 1.1 - o. Let r(y) = 3*y - 1. Let t be r(-1). What is the nearest to p in 2, t, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/11 - 24*h**4 - 2914*h**3\/11 + 960*h**2 - 7384*h\/11 = 0. Calculate h.\nAnswer: -13, 0, 1, 2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/675)\/(((-12)\/3)\/8).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q)**(-11\/9)*(q**(-9))**(-1\/18) assuming q is positive.\nAnswer: q**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313 - -2188\/7. Which is the closest to 1\/6? (a) 0.04 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3040 divide 1464869600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1295, 1694, 2043, 2318, 2495, 2550, 2459?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + 2*b + (0 - 3 + 5)*(0 + 0 - 2*b) - 4 + b + 4 - b + 7*b - 3*b)*(0*b**2 + 0*b**2 + b**2).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - ((-11)\/(-5) - 0)) + 1. Let m = 36.7 - 45.7. Sort h, m, -1, -5 in ascending order.\nAnswer: m, -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 + 3 - 2*t**2 - 1 - 3 - 2*t + 3*t**4 in the form y*t**3 + h*t**4 + o*t**2 + d + j*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 130.9477 and 15.437.\nAnswer: 146.3847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:22 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*g**5 + g**3 + 5*g**2 - 34*g.\nAnswer: -8640*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 10, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -65. Let v = n + -17. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r + 2*r. What is the nearest to -1 in 0.1, -4\/5, r?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74326 and 0.4.\nAnswer: -29730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 14. Suppose 2*b + 21 - 259 = k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Sort y, 3, 3\/7 in ascending order.\nAnswer: y, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 534*i**2 - 37*i + 35*i)*(-4 + 4 - 4*i).\nAnswer: 2136*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-6) + 4\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 1)*(0*f**4 + 0*f**4 + 2*f**4) + (-f**2 - 2*f**2 + 5*f**2)*(2*f**2 + 0*f**2 + 0*f**2))*(-9*f + 14*f + 76*f + 1).\nAnswer: 810*f**5 + 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-4*n + 2*n + n) - 3845*n - 4772*n + 1467*n + 980*n.\nAnswer: -6168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*r**3 + 437*r**4 + 12*r - 436*r**4 + 53 - 11*r + 22*r**3 - 2*r**2 to the form a + f*r + p*r**4 + l*r**3 + j*r**2 and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 716 + -422. Suppose h + 186 = 8*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 57. Let k be y(13). Which is smaller: 72 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aafo when four letters picked without replacement from omqfbamamqbmqfbfof?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-60)*50\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(-10*z - 33*z - 2*z) + (4 - 4 + 2*z)*(-1 - 1 + 1) to t*z + u and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 29106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4954174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835 is divided by 596.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -19*p - 170*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 5:03 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*(-1)\/(-15))\/(6\/124590) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 + 4 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27256*u**2 + 7386*u wrt u?\nAnswer: -54512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 193. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {j: 3, c: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*i = 0, -3*b + 2*b + 3*i = -7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.25 + 196.05. What is h rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*q**3 + 23*q + 89.\nAnswer: 33*q**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 14 + 19)*(2*s - 2*s + 3*s - 2) to n + f*s and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4070\/6 - -2) + 34\/51.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5275\/42 + -377\/3. Let s be (-2)\/5 + (-3)\/(-20). What is the fourth biggest value in s, 1\/2, o, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b + aa?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.4 in 2\/5, -1, -2\/13, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*t**2 + 4574*t + 1642076.\nAnswer: 16*t + 4574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 316\/28 - (-185 - -196). Let d = -8 + 5. Which is the third biggest value? (a) d (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -350*b**6 + 278*b**2?\nAnswer: -42000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**2 - 14*a + 14. Let i(v) = -v**2 + v - 1. Let q(s) = -2*b(s) - 4*i(s). Let f(j) = -4*j**2 + 5*j - 5. Determine -24*f(d) + 5*q(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49\/11 - 738\/(-1353). Let z(g) be the first derivative of -2\/15*g**f - 7 + 0*g**2 + 0*g + 2\/9*g**3 + 0*g**4. Determine c so that z(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q - 2. Let o = -416 + 420. Give n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -346, -695, -1052, -1417?\n\"Answer: -4*n**2 - 337*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -89 - (-46 + (-8 - -15))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**19*c*c**(2\/19))\/(c\/(c\/(((c**(-1\/4)\/c)\/c)\/c))*c*c**(-2\/11)*c) assuming c is positive.\nAnswer: c**(18005\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-21)\/(m**7*m))\/(m*m**(2\/19)*m\/((m\/m**6)\/m)) assuming m is positive.\nAnswer: m**(-705\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -364.024164 - -180913643.024164. Let y = 180913204.999967 - w. Let c = y + 74. Round c to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10427649 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:41 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-1)\/9)\/((-35)\/105).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + b - b)*(3 - 2 + 3)*(-2 + 0 + 1) + b - 3*b + b)*(-3*b**3 + 0*b**3 + b**3).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1074*b*c - 2184*b + c**2 with respect to c.\nAnswer: -1074*b + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**0\/i))\/(i\/((i\/i**9)\/i)) assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1156.218 weeks to microseconds.\nAnswer: 699280646400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 3*x**2 - 2*x + 2. Let y be o(2). Suppose 6*f - f + 5*k - 420 = 0, -y*f = k - 166. What is the remainder when f is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 0.4, -2.384, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -24\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -739 - -714. Which is the second biggest value? (a) t (b) -0.4 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75503869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.263 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/(-13)*6\/12*12.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10521*q**3 - 2 - 10667*q**3.\nAnswer: -146*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2260 divided by -5\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0372981*-0.4\nAnswer: 0.01491924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*i - 5. Let a be (-33)\/(-4) + i\/(-12). Solve -4 = -4*l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*x**2 - 3\/7*x**5 + 12\/7*x**4 + 36\/7*x**3 + 0*x.\nAnswer: -3*x**3*(x - 6)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -31. Suppose -9*f - 800 = -17*f. Calculate the remainder when f is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 35, 47, 59?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112)*1 - sqrt(112) - sqrt(112))\/(-2*(sqrt(100) + -1*sqrt(100)) - sqrt(100)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 140*i**2 - 18*i + 126. List the prime factors of n(6).\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2541*m + 115522. Determine n(-45).\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 52*u - 2896. Determine n(71).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose -69 = -p*o + o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*x + 110 + 62*x + 107 - 217.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-19)*r**(-4\/7)*(r**(-2)*r)\/r assuming r is positive.\nAnswer: r**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233595 divided by -25955.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 12. Let n(m) = 8*m - 1. Let o be (-60)\/(-27) - (-4)\/(-18). Let a be n(o). What is the greatest common factor of h and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - s = 0, -2*a + 12 = 73*s - 78*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6536230.\nAnswer: 2, 5, 653623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/31)*s*s**(-9)*(s\/((s*s**25)\/s))\/(s*(s\/(s**(-11\/3)\/s))\/s) assuming s is positive.\nAnswer: s**(-3506\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 5. Let c(d) be the first derivative of 7*d**2\/2 + 303. Determine r(c(n)).\nAnswer: -14*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8 - 2*f**2 + f**3 - 5*f**2 + 9*f - 2*f**2. Let z be g(8). Let i = -76\/3 - -25. Is i not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36609619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.127 - 0.227. Let x = v + -31. Let r be ((-3)\/(3\/4))\/1. Which is the nearest to x? (a) 0 (b) 2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 9 - 3) + (-36)\/(-15) + 0?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 748\/29 + -2290\/87. What is the common denominator of m and -113\/102?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.24, 23, -4 in ascending order.\nAnswer: -7, -4, 0.24, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 983*z**2 + 989*z - 1970.\nAnswer: -(z - 1)*(z + 2)*(2*z - 985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 8 = -5*a. Let q(k) = k**3 + 4*k**2 - 7*k - 2. Determine q(a).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -237, -347, -441, -507, -533, -507?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4065.769 litres in millilitres?\nAnswer: 4065769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h**2 + 30*h**4 + 31*h**4 - 13*h - 88*h**4 - 6 + 5*h**3 + 24*h**4 = 0 for h.\nAnswer: -2, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 462631 = 4*w, -4*w - 509*h = -513*h - 462616. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1003084932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((-6 + 7 - -1)\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -922 + 924. Let d(x) = x**2 - 4*x - 1. Let h be d(6). Solve 0 = i*j - h + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1780 + 90410*h + 1574 - 90410*h + 508*h**4 wrt h?\nAnswer: 2032*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9 + 6. Suppose 2*y + 1 = i, -u*y - 5*i + 8 = -27. Solve 2*v = 4*v + y*c - 12, -26 = -v - 5*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oodj when four letters picked without replacement from ojgjdo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -11. Let s = o - -3.8. Let y(a) = -a. Let d be y(3). Sort -5, d, s in ascending order.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/((-10)\/(-4) - 2). Let x = -8 + v. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from ubaie?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -2 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/68 + -2 + (-6)\/(-72)*6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 0*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 230, 24.\nAnswer: 4, 24, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4278 divided by -96\nAnswer: 713\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 52, 127, 232?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a0a6 + 19?\nAnswer: 1a0bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from oodkdcocdkdddkdhq?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210680 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = 3*i - 6, -2*v + i - 3 = 0. Let k be 5\/2*(10 - v). Let z = k - 33. Which is smaller: 1\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 5)*(0 - 2*b + 0)*(-3*b + b + 3*b) to the form v*b + a*b**2 + j and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 61*l**2 - 1103*l - 2*l**2 + 1086*l to k*l**2 + p*l + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/4)*i*i**(-3)*i*i*i**(-9)\/i*i\/(i*i*i\/(i\/(i\/i**(-1\/4)))) assuming i is positive.\nAnswer: i**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + (-69 - (-54740)\/420)?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -20, -j = 4*f - 5*j - 64. What is the highest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 17 + 12752*d - 12749*d.\nAnswer: 3*d - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsxb when four letters picked without replacement from {x: 1, l: 6, s: 1, h: 1, z: 1, b: 3}.\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125 times 82232?\nAnswer: -92511000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33888 and 220625?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from purbprt. What is prob of sequence up?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -12. Let k(z) = -3*z**3 - 5*z**2 - 4*z - 4. What is the remainder when k(-3) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3596 + 3591. Put 292, -4, w in descending order.\nAnswer: 292, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0 + 6*a - 3 + a + 8. Let m(t) = 20*t + 14. Let q(v) = -6*m(v) + 17*p(v). Differentiate q(h) wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -191. Let z(t) = -101*t**3 + 4*t**2 - 3. Let i be z(p). Calculate the greatest common factor of 68 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*p + 26, -2*p + 2 = 7*n - 2*n. Let r(l) = 4*l**2 - 2*l + 3. What is the tens digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 - 15 = -5*l, -2*b + 3*l = 14. What is the units digit of -332*(b + (-44)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 19*y**2 - 12 - 12*y - 6 - 5*y**3. List the prime factors of b(-11).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) - (-84)\/5. Let f(s) = 3*s + 17 - w. Let v(p) = 9*p - 9*p - 3*p**2. Give f(v(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*l + 36 = 4*a + 106*l, 5*l + 33 = -a. Factor -26\/5*o - 4\/5 + 14\/5*o**a.\nAnswer: 2*(o - 2)*(7*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 29*p**2 - 5*p + 146. Let c be f(29). Which is smaller: 12\/11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than or equal to -507606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2855, 5601, 8289, 10931, 13539, 16125?\n\"Answer: 2*v**3 - 41*v**2 + 2855*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(5\/9)*-1. Find the second derivative of -6*t**2 + 4*t**2 + 7*t - w*t wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 52, 107, 214, 391, 656?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 190 in ascending order.\nAnswer: -4, 1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 54*-6\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (18 - 9) - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3182088924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 take away -7324733717?\nAnswer: 7324733560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 - 7*o**2 - 10*o + 9. What is the units digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)*(-842)\/14. Let m = h + -60. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150869*b**5 - b**4 - 1513*b + 2155 wrt b?\nAnswer: 3017380*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9642600817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + p + (-3*p + 2*p + 2*p)*(-3 - 2 + 3))*((3 + 1 - 2)*(-1 + 3 + 0) + 3 - 4 - 5)*(10 + 3 + 0) + (-3 + 1 - 3)*(-3*p + 4*p - 3*p).\nAnswer: 114*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/57120 and 13\/3264.\nAnswer: 114240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -425, -436, -431, -404, -349?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235180679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23101013 (base 4) to base 10.\nAnswer: -46151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -123\/2. Let m(h) be the second derivative of 0*h**3 + 1\/4*h**5 - 4*h + 0 + 0*h**4 + q*h**2. Differentiate m(d) with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 36 = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140015.94 months in centuries?\nAnswer: 116.67995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -3*j - 4*j. What is the common denominator of (-10)\/28*550\/(-125) and ((-10)\/j - 12\/42)*-6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60888014273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(24\/9*(-17)\/(-272)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**4)\/a*(a*a**(2\/51)\/a)\/a)**(-3\/5) assuming a is positive.\nAnswer: a**(253\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 25*w**2 - 63*w + 60. What is h(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 397704 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -8. Let r = p + 4. What is the nearest to 1 in r, 0.2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3486, -2\/17, 3, 2, 491 in ascending order.\nAnswer: -0.3486, -2\/17, 2, 3, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1672 and 65\/10041264?\nAnswer: 2098624176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/2 (b) 0.5 (c) -32.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2000 - -120123?\nAnswer: 122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 152*m**7\/105 - 43*m**3 - 4*m**2 + 7. Differentiate i(y) wrt y.\nAnswer: 1216*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12005 - 946 = -59*z - 52*z - 2517 for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 674914787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -24*t - 858 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 66 = p, -p - 23 = -3*a. Let l(x) = x**2 - 13*x + 10. Give l(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -90*g - 35. Let y be o(2). Let s = y + 219. What is the smallest common multiple of s and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 3*c + 3, 4*c - 6*c + 1 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d = 302 - 302. Is 1\/3574 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2549, 3, -2, 1, 185 in descending order.\nAnswer: 185, 3, 1, -2, -4, -2549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 49 = 5*q + 12*t, 0 = -5*t + 15. What is the biggest value in -0.5, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 2.93. Let o = -0.9 + h. What is the closest to 0 in -0.3, o, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.08, -2, 2\/13, 8.\nAnswer: -2, -0.5, 0.08, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -846, -1893, -3358, -5241?\nAnswer: -7542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1817*j**2. Let v(q) = 1797*q - 3600*q + 1802*q. Determine v(u(x)).\nAnswer: 1817*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, 0.084?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004938958 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1582 and 32292688.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (364\/(-1456))\/(14\/96).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 260, 264, 270, 278, 288?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y. Let d(t) = 36*t**2 - 27*t. Let p(b) = -d(b) - 27*i(b). Let h(z) = 6*z**2. Calculate h(p(a)).\nAnswer: 486*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.77 to 0 decimal places.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p**2 + 145*p + 574*p**2 - 298*p + 7 + 153*p.\nAnswer: 537*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 3. Suppose 2*o + 30 = v - 4*v, -k*v = -4*o + 12. Is 23 a factor of ((-18)\/4)\/(-3) - 1276\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 0. Let d(j) = -3*j + q*j - 5*j. Let k(x) = -2*x. Calculate d(k(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011001100010110 (base 2) to base 5.\nAnswer: -10003424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 - 5*m + 5. Let j(b) = 3*b. Let l(w) = -3*w**3 + 75*w - 3. Let y(g) = -72*j(g) + 3*l(g). Give 7*i(n) + 4*y(n).\nAnswer: -n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -809.2 - -795.772. Round o to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11000?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(-5 + (sqrt(468) - (1 + sqrt(468)) - sqrt(468)) + 1 + 1*(-5 + (sqrt(468) - sqrt(468)*-3) + sqrt(468))))**2.\nAnswer: -276480*sqrt(13) + 4370688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 11*r + 2. Let x be d(-11). Let v be 3*(x + 224\/12). Suppose -3*g - 31 = -t, v = 2*t + g - 0*g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10425 (base 7) in base 16?\nAnswer: a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4081 - -4095. Solve 11 - 81 = -x*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 60 = -b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 956 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**2 + 3 - 88*u - 68*u**3 - 45*u**2.\nAnswer: -68*u**3 - 88*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001173 to 6 decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/32*2*-1. Let d be 1\/2*1*0. Let u be (-16)\/12*(d - 3). Solve -u*h - o = -17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-259*o**2 + 259*o**2 - 167*o**3) + (-5*o - o + 0*o)*(0*o**2 + 3*o**2 - o**2) + 0*o + 0*o + o**3.\nAnswer: -178*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 + 14 = 0. Let d be 2\/(-8) - 27\/(-12). Calculate the remainder when b is divided by 6 + (1 - (d + -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 66443 - 4633. What are the prime factors of l?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 10*q**2 + 2*q - 20. Give j(-8).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:50 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1277 by -15.\nAnswer: 1277\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(3))\/(1*sqrt(72)))\/(1*sqrt(256)*3*1).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5930642816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10008560 to the nearest integer?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 361740725 to the power of 1\/2, to the nearest integer?\nAnswer: 19019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1796 + 10?\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*n - 3904, -29*o + 32*o = -5*n + 5911. What is the remainder when o is divided by 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*x - 3*p, -5*x - 4*p = -x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + g**2 + 2)*(-2*g**2 + 2*g**2 + 7*g**2) + (-6*g**2 + 4*g**2 + 3*g**2)*(4*g**2 - 2*g**2 + 0*g**2).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/135*(60 + -21). Let g = -4\/5 - x. Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + sqrt(180) - sqrt(180)*-2*1) + 1*(sqrt(180) + -1*sqrt(180) + sqrt(180))*-3)**2*5 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 - (8 + (6 - 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - n = -10, 2*n = -0*v + v - 5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 - 4*q**2 + (-q - 4*q + 4*q)*(0*q - 4*q + 2*q))*(3*q**3 - 2*q**3 + 3*q**3).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 4*y - 8. Calculate z(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-240)\/50)\/(-8))\/(12\/8*-5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 66*y**3 + 125*y**2 - 192*y.\nAnswer: y*(y - 1)*(y + 3)*(y + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/6? (a) 1\/4 (b) 4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173351.\nAnswer: 109, 127, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 + 0.7. Let u = x + -0.06. Let h = -12\/11 - -59\/44. Which is the second smallest value? (a) h (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.1. Let j = -19 + 58\/3. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, u: 5, r: 3, v: 1}. What is prob of sequence arru?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16044 = 2711*i - 2138*i for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7874\/(-519684) - (-1586)\/132.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 966, 1963, 2960, 3957, 4954, 5951?\n\"Answer: 997*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2596 and 101\/99396?\nAnswer: 5864364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 530429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39049938.\nAnswer: 2, 3, 241049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**2 + 2*c + 7 - 7 + (0 + 0 + 11 - 2*c)*(-2*c - c + 5*c + (1 - 2 + 0)*(-c + 1 - 1) + 1 - 1 - 2*c + 2*c + 2*c - c).\nAnswer: -21*c**2 + 46*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 13. Let y be p(16). Suppose 6 = -o + y*o - l, 0 = -4*o + 5*l + 6. Solve -5*h + 14 = -3*q, -4*h - o*q - 4 + 28 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -218749192.98.\nAnswer: 218749193.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = o - g, 0 = 3*o + 4*g - 23. What is the derivative of 0 + 3*p + o - 7*p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, j: 9}. Give prob of picking 2 j and 1 h.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-318)\/795)\/(((-2)\/(-460))\/(-1)). Find the second derivative of 273*h**3 + h**2 - h**2 + 93*h + m*h - 2 - 215*h wrt h.\nAnswer: 1638*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 4, j: 1, g: 2, e: 1, w: 3}. Give prob of sequence en.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*s**4 - 2*h*s - 591*s**3 - 331*s**2 wrt s?\nAnswer: 24*h*s - 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 498?\nAnswer: -348.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, u: 8}. What is prob of sequence xq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -107, -427, -961, -1709, -2671?\n\"Answer: -107*d**2 + d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613.\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + m. Let l be n(-1). Suppose 2283*r = 2277*r + 6. Suppose 11 = l*f - r. Solve 4*q = -8, 1 = -3*v + 5*q - f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5873, -11626, -17259, -22760, -28117, -33318?\nAnswer: -38351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from sssssysysssy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 193969, 775923, 1745855, 3103765, 4849653, 6983519?\n\"Answer: 193989*f**2 - 13*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -16*a**2 - 5*a + 5. Let b(v) be the second derivative of 17*v**4\/12 + v**3 - 3*v**2 - 32*v. Give 5*b(m) + 6*g(m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m**2 - 59*m**2 + 93*m**2.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 34. Let p = k + 35. Let h = p + -11.95. What is h rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-8850) - 1594\/59.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7428*y + 7428*y - 20*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-45)\/((-3105)\/(-92))*(-3 - 18876)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20992*q**2 + 10465*q**2 - 196*q**3 + 10527*q**2.\nAnswer: -196*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.1 plus 3?\nAnswer: 304.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3203 = -5*f - 5*z, -5*z = f - 636. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4196*g + 95869. Give f(-23).\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132532315 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((18 - 7) + 10 - (0 - -10) - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1851 - -1843 - (-9 - (-2 - -1)) - 35) + -2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*d + 25, 2*j - 3*j - 3*d = -14. What is the smallest common multiple of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/80 + 3*n**4\/16 + 7*n**3\/8 - 49*n**2. Factor l(q).\nAnswer: -3*(q - 7)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.53 + 3.93. Let d = k + -2.4. Put -1\/6, d, -4\/9, -0.5 in increasing order.\nAnswer: -0.5, -4\/9, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34493, -68968, -103443, -137918, -172393, -206868?\n\"Answer: -34475*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w*w\/(w\/w**(-3\/5)))))\/(w*w**36)*w**28*w**29)**(-10\/3) assuming w is positive.\nAnswer: w**(-214\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2. Let z be (0\/(-2) - -2) + 6. Let s(h) = -h**2. Let d(i) = z*s(i) - p(i). Let r(j) = -26*j**2 + 64*j**2 - 39*j**2. Calculate r(d(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let j(q) be the first derivative of 0*q**2 + 3 + 0*q - 4\/3*q**3. Give j(o(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18609*x**2 + 0*x**3 - 4*x**3 + 18729*x**2 + 396*x.\nAnswer: -4*x*(x - 33)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/52553472 and -77\/33380?\nAnswer: 262767360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/23, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3784)\/(-172) + 1*-1. What is the greatest common factor of 1085 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -112, -119, -130, -145, -164, -187?\n\"Answer: -2*m**2 - m - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + n + 1. Let b be o(-1). Let u(c) = 4*c + 11. Let k(a) = -3*a - 12. Let z(t) = 3*k(t) + 2*u(t). Let p be z(-29). Solve b*h - h = p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077713.539 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y**2 - 3*y - 126. What is the units digit of w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 616\/66*(-12)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -179, -404, -719, -1124, -1619, -2204?\n\"Answer: -45*l**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzpzzzzpzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 3 + 6*l**3 - 17 - 29*l**2 + 27 + 0*l**2 to the form d*l + c + a*l**2 + r*l**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -13. Let d = y + 3. Let w be (d\/3)\/((-7)\/2). What is the second smallest value in 0, -4, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68\/7 in 1\/32, -0.5, 1623, -1\/4?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -49. Suppose -n*v + 1873 = -27747. Let d = 2674 - v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 24) + (-1 - (-8 + 0))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -152\/5?\nAnswer: -152\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9. Differentiate 19*v - 7*v**2 - 14 - 19*v + s with respect to v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 25*k + 72. Let x(f) = -4*f**3 - 122*f**2 - 57*f + 118. Let j be x(-30). Give u(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 18*g - 43. Let k be q(20). Suppose -3*v - 42 = -c, -5*v = 4*c - 7*c + 130. Put k, 0, c, 4 in descending order.\nAnswer: c, 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31979\/6 - 2\/(-12). Suppose a = 5*d - 49005. Suppose -b - 13598 = -5*r, 4*r + 9*b = 6*b + d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 9*p + 127. Let x be q(7). Let l = 83 + x. Solve l = -8*h + 11*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-10)\/o)\/o**(7\/5)*(o*o\/o**1)\/(o*o**(-3)))**(-26) assuming o is positive.\nAnswer: o**(1092\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.5 - 20. Let u(l) = l**2 - 22*l + 124. Let r be u(12). What is the closest to r in b, -0.2, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1258 = -83*q - 4520 + 6748 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 1556.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -19*s**3 + 22*s**2 + 130*s - 8. What are the prime factors of m(-13)?\nAnswer: 107, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 42949946685755.\nAnswer: 42949946685754.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 63, -3, 1, -4 in ascending order.\nAnswer: -4, -3, 1, 2, 12, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2632 and 320753944?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 + 10*t - 6. Determine o(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 22*g - 22. Let k be h(-14). Suppose 4*n - k = -p, 4*p + 11 - 3 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 8. Let w(x) = 5*x**2 - 46*x + 12. What is the least common multiple of u and w(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4925704033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -2 (b) 5 (c) -3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/9)*(p**(1\/4)\/p*p*p)\/p*p)**(-40))**(-3\/17) assuming p is positive.\nAnswer: p**(290\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 4*g - 31 + (-4*g - g + 3*g)*(0 + 1 + 0) - g + 3 - 3 - g - 2 + 2 - 2*g + 0*g + 0*g to the form l + r*g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*z + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(2\/23)\/m)))\/m*m*m*m**7)\/(m\/(m\/(((m\/m**3)\/m)\/m)))**(3\/5) assuming m is positive.\nAnswer: m**(1206\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -19 + 17 + 7\/1. Sort -4, z, 30\/13.\nAnswer: -4, 30\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (30 - (-6 - -1)). Suppose 0 = -v*l + 46*l - 198. Solve -4*b - l = -0*b + 5*a, 0 = 2*b - 4*a - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 4, 1366, 0.01, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + -2.3. Let f = 0.095 + 0.105. What is the third biggest value in f, x, -4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + 91.4. Let p = 93 - c. Which is bigger: p or 3\/82?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 81, 87, 95, 105, 117?\n\"Answer: m**2 + m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j)**(-2\/67))**(-46))**(-21\/2) assuming j is positive.\nAnswer: j**(-2898\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -43\nAnswer: 76\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -7. Suppose -o*p + 30 = -p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/60 - 7*w**4\/24 + 7*w**3\/6 + 4*w**2. Let d be i(-8). Sort 5, d, 0.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j - 0*j - 14. Sort 0, 2, 3, j in ascending order.\nAnswer: j, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 220, 219, 228, 253, 300, 375?\n\"Answer: a**3 - a**2 - 5*a + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 47208.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -674*d**3 + 1095*d - 99*d**3 - 46746*d**2 + 46746*d**2 wrt d.\nAnswer: -4638*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -835 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.006 + -0.19. Let w = b - -0.183774. What is w rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 17 - 62. Suppose 5*i + 23 = 3*q, q = 4*q - 3*i - z. Which is greater: 1\/25 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18590045\/17538250 - (-1 + 4). Let x = g - -2\/70153. What is the common denominator of x and 13\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.4. Let h = -0.39936 - y. What is h rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -237?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.3, -9, 3, -0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeprfpw. What is prob of sequence eyp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 31*y**3 - 4*y**2 - 2*y - 4. Let k(l) = 1 + l**2 - 1 - 1 - 2*l**2 + l**3. Let r(v) = i(v) - 5*k(v). List the prime factors of r(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + 2*l + 93, -5*v = 4*l + 489. Let j = v - -111. Suppose -j*w + 35 = -3*w. Solve 5*x - 3*q = q - 4, w*x - 1 = -q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.3999542 - -14.4. What is h rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.058717 to 1 decimal place.\nAnswer: 290.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 10*r**2 + 10*r + 14. Give z(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8022.34 - -8129. Let t = i - 107. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 14. Find the third derivative of -v**a + 438*v**6 + v**5 + 19*v**2 - 458*v**6 wrt v.\nAnswer: -2400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*z - 0*z + 4*r, 20 = -4*r. Suppose 0 = -z*o + o - 2. Let u be 1\/o - 126\/(-12). Solve -i - i = -u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-3 - -12) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 4. Let r = g + 10.6. Which is the closest to -1\/2? (a) r (b) 3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g = 13*g - 61*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 20*t = 222. Suppose t*c - 33*c = 40. Suppose n - 4*n + 117 = 0. Calculate the remainder when n is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*z + 4. Suppose -z*k + 2*a = -12, 4*k - 2*a - 3*a = 18. Suppose -18 = -k*i + 4. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 49 - 39. Suppose 4*h - n = 28. What is the greatest common factor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -651421\/40 or -16286?\nAnswer: -16286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136691675 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 + 236. Put 0, q, 123 in increasing order.\nAnswer: q, 0, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 3 = -5*z. Suppose -z*u + 48 = -u. Let d = -2250 + 2254. Calculate the highest common divisor of d and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(-6*((1*sqrt(171) + sqrt(171))*2 - sqrt(171) - sqrt(171)))\/((-3*sqrt(99)*-3)\/sqrt(11)))**2.\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8070345071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1\/4))\/b)\/b**(-3))**(-2\/29)\/(((b*b\/(b\/(b**(1\/5)\/b))*b*b)\/(b*b**(-6)\/b))\/(b**(2\/3))**(-47)) assuming b is positive.\nAnswer: b**(-34589\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*((-324)\/(-48))\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.8. Let p(y) = y + 8. Let o be p(-7). Let k be 4*2*o\/4. Which is the third biggest value? (a) k (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 1874. Let f(n) = 7*n + 3756. Determine 2*f(b) + 5*y(b).\nAnswer: -b - 1858","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-45)\/(-4)))\/(1102\/2755).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411185189*m**2 + 4800082*m + 28?\nAnswer: -822370378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40325.02 + 40325. Let s be 7\/7 - (-4)\/(-5). What is the closest to -1\/2 in s, 2\/17, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x + 4*g, g = -0*x + 3*x + 6. Let f = 6 - 4. Let m be 1\/(f\/(0 + -2)). Is m > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -36.29.\nAnswer: 38.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20533345 (base 6) to base 5\nAnswer: 123302200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1982025 and 21.\nAnswer: 13874175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15162 - 15155. Solve 5*n + 8 = -v + 4, -2*n + 5*v - a = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/60)\/(19\/(1900\/(-690)))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/4, -2\/3, -69, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.505 and 59449?\nAnswer: 59444.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 2*p**2 - 3*p**2 + (1 + 0 - 2)*(-2*p**2 + 4*p**2 + 2*p**2) - 8*p**2 + 42 - 42 + p**2 - 6*p**2 + 3*p**2 in the form b + u*p**2 + z*p and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-275\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/24 + (-40)\/(-3). Let a = -17 + r. Let k(q) = 2*q. Calculate k(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5480230, -5480231, -5480232, -5480233, -5480234?\n\"Answer: -v - 5480229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2246546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -181\/3. Let d be (-44)\/198*6\/(-1). Put f, 2\/11, 2, d in ascending order.\nAnswer: f, 2\/11, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/w*w**(2\/55) assuming w is positive.\nAnswer: w**(57\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10477 is divided by 5229.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15982067 - 15982067 + 13*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.6 + -39. Let l = f + 3. What is the second biggest value in l, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372467089*i**2 - 750625849*i wrt i.\nAnswer: 744934178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = 4*v + 28, v - 2 = 4*k. Let c(y) be the first derivative of -25*y**2\/2 - 24*y + 113. What is the units digit of c(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -535938*u**2 - u + 40. Let c be i(8). What is c rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.7151 rounded to 0 decimal places?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7039275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100317 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105.7 + 100. Let v = -97553.3063 + 97559. Let p = u + v. What is p rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2633.998939 + -2634. Let v = -0.00322 - j. What is v rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8484 by -1212.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1337078698 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/60 - o**4\/3 - 2*o**3 - 55*o**2. What is b(11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 3*g - 5. Suppose -w - 4*w + 4*o = 37, o - 3 = 0. Let r be (w\/4)\/((-3)\/12). What is the units digit of v(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 77*b**5 + 1890*b + 34. Differentiate q(v) wrt v.\nAnswer: 1540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 560*s**2 + 7925*s + 84630.\nAnswer: 5*(s - 93)*(s - 26)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h - 51*h + 22*h - 5 + 1 - 2*h - 33*h.\nAnswer: -124*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (1 + 1) - (47 - 60). Solve -z*k = -10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 7*f - 3. Let x be p(-6). Let m(k) = -k**2 - 12*k + 9. Let a be m(-10). Let l = -11 + 13. Solve -5*g + a = 3*o, o + x = g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*g**2 + 102*g**2 + 146*g**2)*((90 - 90 + 40*g)*(-1 - 2 + 2) + 4*g - g - 2*g) to the form m*g**2 + c*g**3 + q + k*g and give c.\nAnswer: -10179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27232761 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 54 - 1118\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*y - 4*s + 17, 5*y - 3*s + 27 = 0. Calculate the remainder when 0 + y + (14 - 4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 15*m**2 + 33*m + 13. Let t be h(17). Let d(z) = z**2 + 4*z - 3. Calculate d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1442171\/121190 + 1\/12119. Let z be (-3)\/(-2) - 4434\/3036. Let d = -2703\/2024 - z. Calculate the common denominator of d and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 40*f**2 - 4*f + 4. Does 12 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567823 divided by -1.\nAnswer: -567823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*u + 10, 4*u = -u + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4273*m - 2 - 3.\nAnswer: -4273*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 12. Suppose 4*n - 22 = 3*j, 0 = -z*n - 2*j - 9 + 21. Solve n*i - 15 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.7? (a) 5 (b) -2 (c) 0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjt. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/7626 and 127\/36?\nAnswer: 45756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 3*t**2 + 2*t. Let n be ((-1)\/(-2))\/((-3)\/36). Let k be f(n). Suppose k = h + 2*h. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1278 and 11244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -16. Suppose -4*v + 22 + i = 0. Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = o + 29*q - 38899, -77804 = -2*o - 2*q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**8\/6720 + l**7\/504 - l**6\/180 - l**5\/40 - l**4\/12 - l. Let i(t) be the third derivative of y(t). What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let c = -2 + 5. Solve c = n*x + x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19 = 21. Suppose 3*h = 5*h - x. Suppose d - 25 = -h*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 12674134.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1431 + -7194\/5. Let s = q + 142\/15. Let i be (-1 - (-22)\/20)*-2. What is the biggest value in -0.1, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.24 * 0.1.\nAnswer: -5.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/42 + (-24)\/(-7)*3. Solve -9*i + 5*r - 17 = -d*i, -5*r = -2*i - 26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - (2 + -12 + 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215293.\nAnswer: 13, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -23*s**3\/3 - s**2\/2 + 3*s. Let t be y(-1). Suppose 5*j + 4*o + 2 = 7, 5*j = 4*o + t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.006? (a) -2 (b) 4 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 90790?\nAnswer: -90785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 30, 1\/2, -1, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-20) - (-1)\/5. Let w be (-2)\/5*(-5 - d). Suppose -4*l - 6 = -b - 0*b, -4 = -b + w*l. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73774 - 77436 = -10*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -144, -286, -428, -570?\n\"Answer: -142*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6886, -6869, -6852, -6835, -6818?\n\"Answer: 17*d - 6903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1282.0000978 - -1282. Round r to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - (8 - (-1 + 18))) - (-56 + -6).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110100001010001000011 (base 2) in base 8?\nAnswer: 36412103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 43908899 = 52891101. What is y rounded to the nearest one million?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1231, -4927, -11091, -19729, -30847?\n\"Answer: -o**3 - 1228*o**2 - 5*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*-2 + sqrt(931) - ((-3*sqrt(171))\/sqrt(9) + sqrt(19)))*5)**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2728121 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -4*a. Suppose 3*t + 10*t - 60 = 5. Solve -3*r - 9 = t*i, -3 = 4*i + 5*r - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1, 3, 25, -5, 19, 111.\nAnswer: -5, -1, 3, 19, 25, 35, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 11*h + 7 - 49 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5079413.8 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.99991 + -14. Round d to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705 at least as big as 4721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -16036530?\nAnswer: -16036543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)\/h*h)\/h*h\/(h**(-1\/2)*h)*h**(-2\/3)\/(h\/(h*h**(3\/7))) assuming h is positive.\nAnswer: h**(-59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((72\/60)\/2)\/(42186\/1780)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + u**2 - u**2 + (-2 + 3*u**2 + 2)*(-6 - 6 + 1).\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (50\/24)\/((-390)\/11232*-48)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3475)\/(-35) - 4\/14. What is the tens digit of (2\/(-3))\/((-6)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1581, 6393, 14559, 26193, 41409, 60321, 83043, 109689?\n\"Answer: 19*r**3 + 1563*r**2 - 10*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 7 + -2 - -9. Let l = 14 - f. Solve 2*n - l*h + 1 = 0, n - 5*n + 2*h = -10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = w + 27, -4*w - 11*m + 7 = -8*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/348*-29 - (4972\/(-352))\/(2\/8).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63552 is divided by 63312?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 40 = 4*h, -5*k = -10*h + 5*h + 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 5*k**2 - 3836*k**3.\nAnswer: -3836*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p + 71*p - 55 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158128831 and 686?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 423, -71.\nAnswer: -71, -29, 0, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 11, g: 1, d: 3, y: 5}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:42 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/61461620 and -113\/9460?\nAnswer: 61461620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25021618\/1989 - -12580. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27120 times 9323\nAnswer: 252839760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 4*u**2 + 51*u - 90.\nAnswer: -(u - 3)**2*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1531985 and 66248.\nAnswer: 12255880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let j be p(6). Let c = 4 - j. Let i be 100\/(-45) + c\/(-9). Let n(r) = -3. Let o(z) = -z - 16. Give i*o(q) + 11*n(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 23. What is the lowest common multiple of 8 and (6 + -1)*10\/25 + s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 + 64 = 3*b, -4*l - 73 = 5*b. Let p = 19 + l. Find the third derivative of 0*t**5 - t**p + 38*t**2 + 21*t**5 wrt t.\nAnswer: 1260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3.8?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2023013?\nAnswer: -2023012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 3. Let u(h) = -h**2 + h + 2. Determine -2*a(g) - 3*u(g).\nAnswer: 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzztzzzz. Give prob of picking 1 t and 3 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198854 to the power of 1\/2, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2)*t))\/t**(-2\/17)*t**(-1)*(t**4*t)\/t assuming t is positive.\nAnswer: t**(70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.6 - 21. Let l = 653.4008 - 655. Let q = j + l. What is q rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = -2*j, 5*u + 3*j + 3 - 16 = 0. Suppose -u*v = 9*w - 4*w - 420, 5*w + v = 425. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqeqqeq. What is prob of picking 2 q and 1 e?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-3*(190\/1665)\/(-19)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40162+28978760533\nAnswer: 28978800695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 23*h - 204. Let r be l(9). Let a(c) = -c + 11. Let p be a(9). Let k(x) = -x**2 - 3*x**2 - p*x**2 + 4*x**2 + 4*x. What is k(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/10*20\/(-6). What is the third derivative of -9*b**j - 65*b**4 - 9*b**4 - 14*b**2 + 0*b**4 wrt b?\nAnswer: -1992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.48 - -6.48. Is -50 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*z + 28 = -5*c - 498*z, 0 = -4*c - 3*z - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18830820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 + 28. Let h(b) = 198902*b. Determine h(n(s)).\nAnswer: 1790118*s**2 + 5569256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/9, 44, -0.2, -1624.6 in descending order.\nAnswer: 44, -0.2, -28\/9, -1624.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, f: 3, x: 3, q: 6, s: 3}. Give prob of picking 3 q.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/205? (a) 1 (b) -4\/11 (c) 0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98552 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five eighths of a century?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23816 and 342368.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 - 10*m + 3. Let o(v) = -3*v**2 + 3*v - 1. Suppose -2*y - 2 = 4*n, 4*y - 9 - 3 = 0. Give n*p(s) - 7*o(s).\nAnswer: 3*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 32. Suppose m = -2*d + 3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4974445900 to the nearest one million.\nAnswer: 4974000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q - 1\/2*q**2 + 21\/2.\nAnswer: -(q - 1)*(q + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (265*x - 2 - 152*x - 131*x)*(0 - 3 - 2) to q + a*x and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t + 6. Let n(y) = -y**2 + 8*y - 15. Let a be n(5). Determine h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*k + z, -z + 5 = 4*z. Calculate the remainder when (-188)\/(-8)*k\/2 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Suppose -j - 5*p - 10 = -2, 5*j + 5*p - 20 = t. Let a(b) = -b**2 + 7*b. Let v be a(j). Solve -3*f + 2*f + 5 = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4 + (-3 + 1 + 3)*(75 - 186 + 91))*(2*f + 2*f - 3*f).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -21. Which is the nearest to m? (a) 0.2 (b) 9 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*x = -98*x + 189. Let p = x - -63. Sort 1, -4\/9, p in increasing order.\nAnswer: -4\/9, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 363 and 36956337?\nAnswer: 406519707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -86571 * -17\nAnswer: 1471707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 5 in descending order.\nAnswer: 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13762997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1536354, -3072713, -4609074, -6145437, -7681802?\nAnswer: -9218169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 18 + 2. Let c(r) = -r**3 - 3*r**2 + r + 4. What is the least common multiple of c(-3) and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q**2 - 3*q)*(-11 + 128*q**2 + 2 + 9).\nAnswer: -256*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + n**2 - n**2 + (3*n + 0*n - n)*(2*n + 2 - 2) + 4*n**2 - 16 + 16 + (-45 - 37 + 26)*(-2*n**2 - 4*n**2 - n + 1 + 8*n**2).\nAnswer: -103*n**2 + 56*n - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231085644 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288 - -3358. Let l = -3818 - -1887. Let t = l + j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 8. Let m be b(12). Suppose -m*p + 6 = -4*d + 2, -5*p - 7 = -2*d. Let t be 5 + p\/(27\/39). What is the nearest to t in -1, -2, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 13132?\nAnswer: -13202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10511 - 10511 - 12*k**3 + 7*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3384 and 3760.\nAnswer: 33840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121437 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2 + 2. Let q be m(-7). Suppose 786 = 10*x - 1014. Suppose -u + x = q*u. 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 w = 11 - 22. Let d = -7 - w. Suppose -5*y + 353 = 338. Sort -4, d, y in descending order.\nAnswer: d, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101822 divided by -14546\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37991698 to the nearest integer?\nAnswer: 6164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(18)\/sqrt(9) + sqrt(2))*-4 - sqrt(2)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -212*j. Let v(c) = -8*c. Give m(v(w)).\nAnswer: 1696*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*g**3 + g**2 - 32 wrt g?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 41*y + 111*y - 55 + 3*y**2 + 6*y - 44 + 20. What is the thousands digit of n(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6558*(-18)\/198*(-11)\/(-2).\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20813, -83333, -187535, -333419?\nAnswer: -520985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 639*q**2 + q + 6. Let k(u) = 1277*u**2 + 2*u + 15. Determine 2*k(s) - 5*m(s).\nAnswer: -641*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*d + 5 = 95*d. Calculate the remainder when 100 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.528 - -0.038. Let p = f + -3.51. Let h = 269\/710 - -3\/142. Does p = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14596133, 29192268, 43788403, 58384538?\n\"Answer: 14596135*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 18 = -10*t + 13*t, 5 = -3*f - t. Let o = -1056\/17 + 62. Which is the closest to -2\/3? (a) -0.3 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282 + 282. Sort -4, y, -0.03 in descending order.\nAnswer: y, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 + h - 1. Let z(d) = 10*d**3 - 6*d**2 + 6*d - 1. What is -6*l(c) + z(c)?\nAnswer: 4*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44391.\nAnswer: 3, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -106 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -97. Let f = 8 + -3. Suppose f*b - r = 1. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601212.\nAnswer: 2, 3, 50101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4772668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3161\/7 greater than -451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (-1*-4*sqrt(77))\/(sqrt(539) + (sqrt(539)*-3 - sqrt(539)))) + 1)**2 + 3.\nAnswer: 544*sqrt(7)\/21 + 18652\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(1*(4 + -2*sqrt(128)))**2.\nAnswer: -5280 + 1280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 10:59 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 66. Let q be l(-64). What is the second biggest value in 2\/5, q, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 3*s + 185976 = -s. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -5*sqrt(56)\/(sqrt(8) + sqrt(200)) + ((sqrt(343) - sqrt(7)) + -2)**2 + (-3*sqrt(63))**2).\nAnswer: -745*sqrt(7)\/6 + 4115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1799900 times -5?\nAnswer: 8999500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 48\/(-9). Suppose -28 + 83 = d. Suppose 4*s + 5*f - 44 = 0, -i*s - f + 4*f = -d. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 198*o. Let q(t) = 2371*t - 1206*t - 1154*t. What is g(q(s))?\nAnswer: 2178*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -4 (c) 0 (d) 0.265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2110)\/360 - -6)*(-30)\/100.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/((-42)\/(-9)) - 3*-2. Suppose -z*a + 6*a + 748 = -4*y, a = -2*y + 236. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = x + j, -x + 5*j = -1. Let d = -10.26 + 7.26. What is the closest to 4\/9 in d, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 235536.\nAnswer: 235536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4 + 2, 5*z + 130 = 5*h. What is the greatest common factor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 9. Let v be f(11). Suppose 0 = x - v - 38. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1300) + sqrt(1300)*-2)*-2 + (sqrt(1300) + 2*(sqrt(1300) + 2))**2 - (3 + (sqrt(1300) - -3*sqrt(1300)) + -2)).\nAnswer: 1100*sqrt(13) + 58575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 6. Let s = -21 - -37. Suppose 3*u - s = -u. What is the tens digit of v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (9 + -7 + 24 + 10)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 748*v**3 + 379*v**3 + 2 + 370*v**3 - 4.\nAnswer: v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 12:59 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65381087*-0.4.\nAnswer: -26152434.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:34 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 433780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19571 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: Expand (3*v - 3*v - 3*v)*(1 - 4 + 7).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.8 in 0.01, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -7\/12*d**4 + 0 - 49\/6*d**3 - 4*d**2 + 0*d - 1\/60*d**5. Determine w so that n(w) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6839*u - 6. Let n(z) = 690745*z + 608. Determine -3*n(y) - 304*w(y).\nAnswer: 6821*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -3 + (4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -5, -3, -28 in decreasing order.\nAnswer: -3, -5, -22, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -84\/11, 0.4, 4, 0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(88)\/(-3*sqrt(1152)) + (sqrt(11) + 0 + sqrt(891) - (-1 + sqrt(44)\/sqrt(4))))**2.\nAnswer: 323*sqrt(11)\/18 + 1146323\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -4, -9051, -1, 3.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.5, 4, -2, -18129, 0.3, -1, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 83059 + 27073 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:12 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvjh when four letters picked without replacement from {v: 2, g: 4, h: 1, y: 1, i: 1, j: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-9)*c*c**5*c*c**28*(c**16*c*c*c*c)\/c)**(-1\/2) assuming c is positive.\nAnswer: c**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-8))\/(9\/(-24)). Find the second derivative of -44*y**2 + k*y**2 + 30*y**2 + 42*y**2 + 167*y + 56*y**2 wrt y.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3494 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/(-100))\/(210\/(-4760)) and -56\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4924)\/(-22) - (-39)\/(9438\/44). Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 5*d - 9. Let q be d\/10 + (-17 - -20). Which is the second smallest value? (a) 2\/15 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(47\/((-4935)\/30)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0 - 4*s**2 + 0*s**3 + 0*s + 1\/8*s**4 - 1\/60*s**5. Find the second derivative of a(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:53 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11454.\nAnswer: 2, 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5, 111, 1?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1889*v - 19178 + 5955 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2443 is divided by 206?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11022 + 10?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose 2*r - k = -0*r. Let t(g) = 2*g - 2. What is the least common multiple of t(3) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + 235*t + 908. What is k(-29)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 11*i - 19 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 - 6*i**2 - 3*i + 8. Let y(u) = -2*u**3 + 6*u**2 + 2*u - 8. Let d(l) = -3*m(l) - 4*y(l). Let j be d(-6). Let w(a) = a**2 + a - 2. What is w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 52*n + 694. Let o be k(-11). Which is the smallest value? (a) o (b) -21 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2020000?\nAnswer: -2020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 9. Let v be l(-11). Suppose -3*s = -7*s + 8. Suppose s*m = -3*m + 15. Solve 0 = j - m, -2*f - j + 5 = -v*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1801 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*a**2)*(-6*a**2 - 9*a**2 - a + 20*a**2 + (0 + 0 - 4)*(a - 2*a**2 - a) + (-1 + 0 - 1)*(4 - 4 + 2*a**2)).\nAnswer: 27*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -7. What is the lowest common multiple of 6 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000910236589 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 48 = 3*k - 4*q, 2*k - 2 = 3*q. Let v(s) be the second derivative of -46*s + 0 - 55\/2*s**2 + 0*s**3 - 1\/6*s**k. Let t(j) = -j**2. Calculate t(v(g)).\nAnswer: -4*g**4 - 220*g**2 - 3025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6\/3 + 3*p**4 + 14*p**3\/3 - 63. Find the third derivative of d(v) wrt v.\nAnswer: -120*v**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*y = -88*y - 12465 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 515, 5\/3, -1\/4, -0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 6 (c) -5 (d) 3\/2 (e) 2047 (f) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and 167\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 + 21204*t**2\/5 + 885276*t\/5.\nAnswer: 3*t*(t + 42)*(t + 7026)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3484.6 - -2514. Let h = c + 971. Sort 0.244, h, 5\/2.\nAnswer: 0.244, h, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.0098.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7508.28 and -5.\nAnswer: 7503.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**4 + 15090*b**3 + 11385400*b**2 - 15090*b - 11385405 = 0.\nAnswer: -1509, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1489929.0152 - -1490553. Let k = 624 - c. What is k rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3568?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/88? (a) 2\/13 (b) 997 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183311.94 hours to weeks.\nAnswer: 1091.1425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217763.\nAnswer: 3217763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 16942?\nAnswer: 33884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 2, r: 1, j: 4, g: 6, n: 2}. What is prob of picking 1 j and 1 k?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 > 983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*n - 2, 4*q - 11 = -25*n + 26*n. Let o = -14 + 2. What is the third biggest value in q, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 143*g + 1029. What is the thousands digit of d(-90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 19 + (-6 - -13) + -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116338131?\nAnswer: 3, 7, 13, 142049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18393, -36783, -55171, -73557, -91941?\nAnswer: -110323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - (-2 - (-2 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3 + 13. Suppose 0*g = a*g. Suppose 6*p = -9 + 15. Sort 3, p, g.\nAnswer: g, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 27*h + 31*h - 83, -106*d + 91 = -109*d + 5*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2619000271 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143, 262, 365, 446, 499, 518, 497, 430?\n\"Answer: -b**3 - 2*b**2 + 132*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/5)\/m*m)*m*m**(-2\/29))**1 assuming m is positive.\nAnswer: m**(309\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -17, -1, 43, 127, 263?\n\"Answer: 2*f**3 - 4*f**2 - 2*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4070.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + -37. Let h = -178 + 180. Suppose h*a - a = 12. Calculate the remainder when o is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 10:49 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/42 + o**3\/7 + 2*o**2\/7 - 6*o. Let z(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61368 and 48456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 11*y**2 + 9*y - 1. Let h be i(-9). Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1335\/2, -3, -0.1, 36.9, -1\/3 in ascending order.\nAnswer: -3, -1\/3, -0.1, 36.9, 1335\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 321 - -99963?\nAnswer: 99c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*72\/48*(-4)\/10. Suppose -t*z - 36 = -54. Solve 4*q = -2*w + z, 3*w - 3*q - 3 = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 - -43334415?\nAnswer: 43334031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-19) + -1*(-12)\/(-114)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.15 (b) 23 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7621014600 to the power of 1\/2, to the nearest integer?\nAnswer: 87298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(q + 0 + 0) + 0 + 0 + 2*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 42*w + 153 = 0 for w.\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2523*g**5\/8 + 3428235*g**4\/8 - 3070287*g**3\/4 + 1021587*g**2\/4 + 635049*g\/8 + 36639\/8 = 0.\nAnswer: -3\/29, 1, 1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - u - 785 = 2*z, 5*z = -2*u + 785. Suppose -162*b = -z*b - 200. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5612 smaller than -5613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601 is divided by 862?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*b = b + 313, 3*d = -2*b + 469. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = k - 2, 38 = 5*k - k - 2*s. Suppose k*b - 14 = -4*p + 5*b, -p = -4*b + 19. Solve -3*j - 21 = 3*c, -4*c - j + p = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320265 is divided by 145015.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191 * -720731.\nAnswer: -137659621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mommommmmom. What is prob of sequence ooom?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2714*l**4 - 4*l**3 - 2*l**2 - 14200?\nAnswer: 10856*l**3 - 12*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1146, -2220, -3216, -4122, -4926, -5616, -6180, -6606?\n\"Answer: 2*k**3 + 27*k**2 - 1169*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4394 is divided by 261?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 10*y - 2. What is the lowest common multiple of b(9) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -653415, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 71 = 3*p, -2*t + 3*p - 45 = -199. Let l = 91 - t. What is the highest common factor of 32 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 15 = -6*k. Let q(b) = k + 0*b + 12*b + 0 + b**2 + 1. Let z be q(-11). Put 6, z, 0 in ascending order.\nAnswer: z, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8*w = 3. What is the fourth smallest value in 0, 5\/4, w, 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 25. Let u be 20\/7*(-77)\/(-22). Let m = q - u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 755302817 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*a = 3*f - 13, 4*f + 5*a = 40. Suppose 3*o = -f*o + 16. Suppose 501 = o*d + 5*n, -n = d - 2*n - 247. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1380\/(-105) + 16)\/((-4)\/14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 0.11629\nAnswer: 2.3258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 - 3*g**3)*(-1 + 4*g + 3*g**2 - 4*g).\nAnswer: -6*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 29*f**3 + f**3.\nAnswer: -33*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 986.9607 minutes?\nAnswer: 59217642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 1\/8 (c) 2670\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28 = -2*v, -172 = 4*b - 5*v - 191. Suppose -23 + 8 = -f. Calculate the remainder when f is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:27 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/8 + ((-30)\/18)\/5 and -52\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by 194958?\nAnswer: -161\/194958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 11*f**2 + 15*f - 33. Suppose 0 = 16*s - 18*s + 18. Does 17 divide y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h. Let f be i(-1). Let g(n) = n - 53. Let a(u) = -13. Let v(r) = f*a(r) - 2*g(r). Let y be v(-8). Solve -3*t + 10 = -y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21816.45465 to the nearest 10.\nAnswer: 21820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d - 5. Let s(v) = -9*v**3 + 2*v**2 - 3*v + 5. Let l be s(2). Let j = l + 70. Calculate a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/252*1152\/224.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(352\/110) + (13117 - 0)\/1 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from mgxryxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 89?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 28. Suppose -2*p - l = 3. Let u be p\/((-75)\/48) - 2. Put -1, u, -0.1 in decreasing order.\nAnswer: u, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + r + 17 = 0, 0*r - 4*r = -2*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 161229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27326\/5255*10\/4 + -44.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 + 1. Let g be f(-1). Suppose 8 = g*h - 16. Suppose -h*r + 2*r + 60 = 0. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 + 5*t**2 + 4*t - 4. Let w(o) = -o**2. Let d(h) = p(h) + w(h). Factor d(k).\nAnswer: -4*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.088136*365.\nAnswer: 32.16964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.043 - 0.043. Let d = -27.00034 + m. Round d to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6597724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -115. What is the remainder when 36 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -u - 0*u - 36, 2*p - 3*u - 18 = 0. Let d = -13 + p. Sort 0, 3, d in decreasing order.\nAnswer: 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - -91. Let h = 303 - s. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:29 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274764 divided by 45794.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -196, -279, -362, -445?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01263567362 to 4 dps.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - i + 2 = -2*i, 0 = -5*x - 5*i + 10. Let j be ((-10)\/(-4))\/(x\/(-4)). Suppose h + 0*h = 5. Put h, j, 4 in decreasing order.\nAnswer: h, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49\/3 + 3\/(-9). Suppose 0*t - v = -2*t. Let g(y) = -3*y + 18*y**3 - 35*y**3 + 19*y**3. Let q(l) = -5*l**3 + 8*l. Give t*g(r) + 3*q(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14341.069 - 14220. Let h = 121 - t. Round h to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 33*s**2 + 104*s - 5. Determine y(-4).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 3a76?\nAnswer: -3a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/(m*m**(-2\/3)*m)*(m*m**0*m*m)**(-40) assuming m is positive.\nAnswer: m**(-361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1707*l - 15377. Determine p(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465331 + 2006507263\/4312. What is the common denominator of v and 65\/176?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*v - 2*v, 5*v + s + 12 = 0. Let o be (-6)\/(-4)*(-4)\/v. Solve -6 = -o*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byyyryyyyyjrryjryyr. Give prob of sequence yyrj.\nAnswer: 275\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.550406us to nanoseconds.\nAnswer: 9550.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/((-1)\/5). Let a(w) = 39*w + 1 + 243*w + 1 + 152*w. Let v be a(n). Round v to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 0.0219699?\nAnswer: -5.0219699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10022 (base 3) to base 7\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 + 1 - 3 + 1630930*y - 1630931*y. Let o(a) = -3*a**2 + 544*a. What is o(i(s))?\nAnswer: -3*s**2 - 544*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 0 - (3 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 23. Suppose u = 3*j - d + 11, 4*j = -3*u - 12. Solve -3*r + 9 = -u*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06 and -224354.25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -361*n**5 - 4123*n**4 - 84227263*n.\nAnswer: -7220*n**3 - 49476*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 7*c - 2 + 2*c. Let s be n(-2). Factor -y**4 + 4*y**3 + y**s + 2*y**4 + 2*y**2.\nAnswer: 2*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.26 + -1.1. Let j = b - -0.14. Suppose -3 = k - 0*k. What is the third smallest value in 2\/5, k, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a5 (base 15) in base 4?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.06, -3\/5, -3\/35?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92976 at least as big as 92975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 18*x - 19*x. Let w be -1 - 0\/(-1) - -4. Suppose j = -j + 4*o + 12, j + w*o - x = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4304022352.00000026 - -4304022387. Let r = b - 35. What is r rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (4*(-1 + -3*sqrt(612) - (-1 + sqrt(612)*-1))*-5)**2.\nAnswer: 979202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(432) + 0.\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38491 - 38490. Solve -5*a + y = -w, 30*a - 31*a = -2*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l - 17. Let q be (-1)\/4 - (-100)\/16. Let g(m) = -4*m - 16. Let c(k) = q*g(k) - 5*r(k). Let x be c(6). Sort 1, x, -2.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((g*g**(-2)\/g*g)\/g)\/g)\/(g**(1\/5)*g))\/(g**(-2)\/(((g*g**(1\/7))\/g*g)\/g)))**20)**(23\/5) assuming g is positive.\nAnswer: g**(-6624\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5 - 4*r - r**2 - 7*r + 3*r. Suppose -16 = -3*f + 8. Let j = -13 + f. Give i(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-990)\/60)\/(2\/(-4)). Calculate the highest common factor of 3729 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 5, 1, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + 1330096601.203\nAnswer: 1330096601.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 528*y**2 + 23095*y - 2614. Calculate r(48).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213521 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1238.610362?\nAnswer: -1241.610362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30244139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -104.2 and -0.03?\nAnswer: 104.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 + 14978*w**3 = 0 for w.\nAnswer: 0, 7489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232732 or 4421934\/19?\nAnswer: 232732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 + -1 + -2 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-10)\/(-4)*5\/(-50)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/492272 and 65\/246136.\nAnswer: 492272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 - 2*d**3 + 3*d**3 + (3*d - 3*d + 2*d**2)*(-2*d + 0 + 0) + 1289 - 1289 + 389*d**3 in the form s + k*d + z*d**2 + j*d**3 and give j.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.08, 0.6, 130.3, -0.18 in decreasing order.\nAnswer: 130.3, 0.6, 0.08, -0.18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/36 and 151\/1530.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 21 = -9. Suppose -a = b - 15. Factor 2 - m - 6*m + 4*m - 2*m**2 + 2*m**b + m.\nAnswer: 2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -3 (b) 0.01 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6229 times -10\nAnswer: 62290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-1323) + 25901\/(-3717).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1517*x**2 + 1519*x**2 + 747*x - 3 + 1628*x + 3 to z + c*x + h*x**2 and give c.\nAnswer: 2375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8460\/(-420)*(-133)\/(-57)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.168 - -87.168. Let d = -1437234 + 1437320.99608. Let b = m - d. Round b to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/219948 and 49\/654.\nAnswer: 23974332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80767 or -80768?\nAnswer: -80767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -13. Suppose 0 = 4*d + c + 21, 2*d = 5*d + 2*c + y. Let u(n) = -2*n - 1. Is u(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-174640)\/1475)\/(1\/(-15) - 0). What is the highest common factor of 54 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*l + 147 = 0. Let s = l - 45. Solve 6 = s*n + 2*i, -i - 1 - 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3718 * -2\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -230.6*35\nAnswer: -8071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 - 2*c**2 - 3*c. Let g be q(2). Let o(b) = -b - 3*b + g*b + b. Let j(i) = -3*i**2. Determine o(j(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 0) + 47 + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -25*u**8\/112 + 9*u**7\/14 - 3*u**6\/5 + u**5\/5 - 3*u**2\/2 + 9*u. Let x(z) be the first derivative of i(z). Factor x(m).\nAnswer: -3*m**2*(m - 1)*(5*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/39312 and 227\/5460.\nAnswer: 196560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 9*u**2 + 2 - 11*u + 117*u**3 - 11 - 118*u**3. What is j(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - 7*i + 9*i)*(33*i - 13*i - 18*i - 262*i**3).\nAnswer: -2620*i**4 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 - (-2474 - -2484).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 8*4\/(-16)*2\/(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4, -989 in ascending order.\nAnswer: -989, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t. Which is bigger: t or -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, 1 w, and 1 z when four letters picked without replacement from {z: 2, w: 1, f: 2, n: 1, x: 1, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1867 - 73 = 78*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3288 and 2055.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 9*h + 12. Let u(k) = -k**2 - 6*k - 6. Let q be u(-4). Suppose 0 = s - q*s - 10. Let j be v(s). Solve 0 = -t - j*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2650 and 424800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 6. What is g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*x - 7 - 14, -5*z + 5*x = -5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4. Let p be o(4). Suppose 4*y - 894 - 42 = p. Suppose 151 = 5*g - y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + v - 2*v, -3*w = 4*v - 17. Suppose 4 - 2 = 2*k. Let l = 5 - k. Put w, 0, l in decreasing order.\nAnswer: l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2)*13\/(-2). Suppose o + z = 3*x, 2*x - 3*o = x + 7. Solve 3*a - 14 = -x*b, 0*a + 27 = -a + 5*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.1, 75197, -66, 1, 0.2 in descending order.\nAnswer: 75197, 1, 0.2, -0.1, -2\/9, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/520593080 + 876995189223679\/520593080. Let l = x + -1685054. Let v = l - -443. Calculate the common denominator of v and -63\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/2146095 and 86\/333837.\nAnswer: 15022665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 183 = 3*q. Suppose -359*k - 1393*k - 70521 - 42903 + 1296 = 0. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2879 - 2?\nAnswer: -2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:30 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 34 = 74. Does 9 divide 2\/(24\/c)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 213933 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 20*g**4 + 185*g**3 + 525*g**2 + 520*g + 100 = 0.\nAnswer: -5, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 + 2521589*h**2 + 35302393*h + 123558547 = 0.\nAnswer: -7, 2521603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 1\/66*v**5 - 4 + 2\/33*v**3 + 0*v + 7\/2*v**2 - 7\/132*v**4. Let b(r) be the second derivative of p(r). Factor b(f).\nAnswer: 2*(f - 1)*(5*f - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33028 + 7?\nAnswer: 33036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-7783)\/10860 - 1\/(-4))\/(6\/(-18))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1745*a - 286. Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose -v + 3 = 1. Let z(c) = 54*c**3 + 162*c**2 - 4*c - 7. Let q be z(-3). Solve v*k + w = q, k - 10 = -h*w + w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 8. Let t be m(-7). Let n = t + 39. Solve -23 = -4*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 616.9766 and 3.6.\nAnswer: 2221.11576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**3 - p**3 - 18*p**3.\nAnswer: -50*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(-15*60\/(-5200)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4253 + 4261. Solve 431 = -q*s + 455 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -22191\/7, -3?\nAnswer: -22191\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -3*sqrt(612))**2 - sqrt(612)) + (3*sqrt(612)*3)**2)*3.\nAnswer: 90*sqrt(17) + 165243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thlllhl. Give prob of picking 3 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17982250 and 1782?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3600\/(-10))\/(-18)*75\/(-180)*3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19985 + -2?\nAnswer: -19987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 4, 12, -1 in descending order.\nAnswer: 65, 12, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -6 + 4 - 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siss when four letters picked without replacement from iiiiiiiisiiiiisssii.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 6*j**2 + 4*j + 4. Let n be u(-5). Suppose 1 = 2*v + n. Let r(m) = -m**3 + 3*m**2 - 18*m + 21. Let c be r(2). Is v at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3388940, -3388936, -3388932, -3388928?\n\"Answer: 4*h - 3388944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * 2.940174.\nAnswer: 211.692528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*d = -556*d + 41*d - 3544 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23774001 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/4 (b) 2\/19 (c) -4\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*o + m + 21, -3*o - 24 = 4*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -883, -1758, -2623, -3472, -4299?\n\"Answer: j**3 - j**2 - 879*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41468549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1066, 3\/7, 1\/4, -2\/9 in decreasing order.\nAnswer: 3\/7, 1\/4, -1\/1066, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.606854 to 3 decimal places.\nAnswer: 1.607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 7, j: 2, e: 1}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*b + 308*b + 19824 = 532*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/843? (a) -863 (b) -11 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/22*(-16)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256537 or 256516?\nAnswer: 256516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 2*h**2 - 5*h + 418. Let n(v) = 6*v**3 - 2*v**2 - 4*v + 415. What is 5*n(j) - 4*u(j)?\nAnswer: -2*j**3 - 2*j**2 + 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, -3.1, -0.5, -2 in descending order.\nAnswer: -0.5, -2, -3.1, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-3)\/(-3))*0. Suppose x = 4*d - 3 - 25. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -716*x**3\/3 + 228. Let j(t) = -t**2. What is j(y(c))?\nAnswer: -512656*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*y + 28042 = 42437 + 47187 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36521765, -36521767, -36521769?\n\"Answer: -2*b - 36521763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from {w: 5, t: 2, q: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 22*z**2 + 1. Let y(r) = 2*r**3 - 5*r**2 + 3*r + 7. What is the remainder when y(4) is divided by c(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 4*q**2 - 24 + 22 + 3*q**2)*(-5*q**2 + q**2 - 5*q**2).\nAnswer: 9*q**4 + 36*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*p - 16, p + 3*x - 401 = -107 - 275 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36671 or -29460?\nAnswer: -29460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413436759.\nAnswer: 3, 2269, 60737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.281, 1, -13.9?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 45 - 3*q - q + 21*q**2 + 9*q. What are the prime factors of b(21)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*((1*(sqrt(133) + sqrt(133)*-2 + sqrt(133)) - sqrt(133))*2)\/((sqrt(2835) + (sqrt(2835)*-2 - sqrt(2835)))\/sqrt(5)).\nAnswer: -1 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 105*c + 335 = -3526 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 180?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -5022\nAnswer: 15066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 - (2 + (3 - 5)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/14)\/(27\/(363825\/308)))\/(1\/2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -5 + 6*(0 + sqrt(5)))**2.\nAnswer: -70*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.44405 millennia to centuries.\nAnswer: 344.4405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cceccceeccceecec. What is prob of picking 2 c and 2 e?\nAnswer: 135\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a second in milliseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 4*z + 13 + z - 4*z in the form d + f*z and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 - 16*k**2 + 29838*k**4 + 4 - 29839*k**4 + 2*k**3 in the form i*k**2 + g + u*k**4 + b*k + h*k**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2444*y**3 + 91*y**2 + 91*y. Let w(p) = -163*p**3 - 6*p**2 - 6*p. Determine 6*a(z) + 91*w(z).\nAnswer: -169*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 122681.147 - -0.05\nAnswer: 122681.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57715321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1 - -2)) + 6 - -3. Suppose 0 = -0*l + z*l - 0*l. Solve c - n + 1 - 5 = 0, -c - 5*n - 8 = l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(65)\/sqrt(5) + -5.\nAnswer: -12 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from ildiliulliixldmi?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2 and -93\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -20. Let b(k) = -2*k + o*k + 0*k. Suppose 0 = -4*s - 9 - 7. What is b(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108458 and 508?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57.5 and 2?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -184?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*j + 4*v, -5*j + 24 = -j + 5*v. Let h = -3 - j. Suppose 0 = 2*l + l + 6. Put h, -1, l in decreasing order.\nAnswer: -1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {j: 5, i: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(7*(-4)\/(-140)). Let v be 64\/(-28) + 8*t\/20. What is the closest to 1 in 5, -2, v, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 6*p = -5*p - 42, 4*j - 3*p - 15 + 6 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -53\/986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = -2*n, 14*n + s = 16*n + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565792140?\nAnswer: 2, 3, 5, 9429869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178 + -114. Suppose 3*t = -x + v, 3*t - 2*x = 3*x + 40. Solve 2*m + t = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 32. Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1. Let p(v) be the second derivative of -1\/6*v**3 + 2*v - 5\/2*v**2 + 14. Give -6*j(w) - p(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfybybyyyyybfyfb. What is prob of sequence yyy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -164*r**5\/5 - 217*r**3\/3 + r**2 - 917. What is the third derivative of h(w) wrt w?\nAnswer: -3936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + a - 36 + a**2 - 9*a - 21. Let f be r(15). Do 63 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 2*p**2 + 3*p + 1. Let w be a(-1). Suppose -3*x + 67 = 5*q, 3*x + 14 = 2*q + x. Suppose -13 = -3*s + q. Solve -v - w*v = -s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5 - 333*x**2 + 5*x**4 + 370*x**2 - x**4 + x in the form f*x + d*x**4 + a*x**3 + l + r*x**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s + 230*s - 40*s - 88*s - 4*s**2 - 63*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l. Let y(a) = -609*a**2 + 12. Calculate y(i(o)).\nAnswer: -21924*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*((-8)\/(-3))\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osr when three letters picked without replacement from {r: 3, v: 1, o: 5, i: 1, s: 3}.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8402.772t?\nAnswer: 8402772000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -943, -1840, -2711, -3544, -4327?\nAnswer: -5048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*s - 96*s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 2. Suppose -4*c + 5*w = -1, -5*c - 3*w = 2*w + 55. Let a(h) = -h + 2. Calculate c*a(k) + 7*u(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 15*u - 378. Let z(j) = 16*j**2 - j. Let b be z(1). Suppose -c - 4*y = y - 3, -c - y = -b. Solve 3*d + k = u, 5*d + 3*k - c = 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391055, -391047, -391027, -390989, -390927, -390835?\nAnswer: -390707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -660 (base 9) to base 5.\nAnswer: -4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39754*f**3 - 416*f - 425 wrt f?\nAnswer: 238524*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*p - 7488 = 127*p. What is the remainder when p is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 1208*p**2 + 8453*p - 358. Calculate u(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2073790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/437560 and -107\/35136068.\nAnswer: 351360680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 7*f**2 - 24*f - 12. Calculate l(6).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 320110?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + v + 1. Let h(i) = -i**3 - i**2 + 12*i + 2. Determine h(g) - 2*x(g).\nAnswer: -g**3 + 3*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddzddzddddz. Give prob of sequence dzz.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -2015321?\nAnswer: -2015326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/16 of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m + m. Find the first derivative of -m*r - 12*r + 7 + r - r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwsww. What is prob of sequence ssw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 20. Let j be g(-4). What are the prime factors of ((-142)\/j + 1)\/((-60)\/480)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from tttttthhht?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24877300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-10)\/(-4) + 0)*(-8)\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -634 - -632. Let t(i) = -i**2 + i - 8. Let g(w) = 2*w**2 - 3*w + 20. Let n(j) = u*g(j) - 5*t(j). Give n(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -48413773?\nAnswer: -4\/48413773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7621483\/26 + -1465616\/5. Let a = c - 136\/13. Solve 1\/5*t - 1\/10*t**5 - 1\/10*t**3 + 0 - 3\/10*t**2 + a*t**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 25. Let r = -163 + d. Let p = r + 152.1. Round p to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19210.32306 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 0 + 0)*(9196*h**3 + 6143*h**3 - 19602*h**3 - 28155*h**3 + 2*h) to the form j*h**3 + v*h**4 + z*h + c + o*h**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2161*k**3 - 16*k**2 - 33*k - 11. Let a(s) = 432*s**3 + 3*s**2 + 6*s + 2. Calculate 11*a(r) + 2*y(r).\nAnswer: 430*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h + 6*h)*(1 - 1 - 2*h) + (2 - 1 + 1)*(-3*h - 2*h - 2*h)*(2*h - h + 0*h).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**3\/6 - 3*d. Let n(v) = 2*v - 1. Let b(k) = 2*k - 1. Let x(m) = 3*b(m) - 4*n(m). Give 3*t(h) + x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from {t: 3, h: 3, e: 8, a: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08999944 - 0.09. What is s rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 602347*l*r**2 - 1010*l*r - 51*l + r**2 + 6*r wrt r?\nAnswer: 1204694*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 783*w**3 + 57*w**2 - 16*w + 5. Let v(k) = -1564*k**3 - 114*k**2 + 30*k - 9. Let s(p) = 3*v(p) + 5*x(p). What is the third derivative of s(a) wrt a?\nAnswer: -4662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 5. Let y = 4 - 4. Suppose y = -2*r - r - 24. What are the prime factors of a(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, -1025, 2, 0, 64 in increasing order.\nAnswer: -1025, -2, 0, 2, 3, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -97) + -119 + 22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(88) + sqrt(88))\/(3*sqrt(40)\/sqrt(5) - sqrt(8)))**2.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-8 + (-15 - -3))) + 10\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8718129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -2*r + 1071. Suppose -2*s + r = -4*c, 1050 = 3*s + 2*s - 5*c. Does 22 divide s\/(-8)*(-4 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*y + 9, 0 = -0*q - 2*q + 5*y - 4. Suppose a - q*r = -0*r + 54, a - 30 = -3*r. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -916000 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(175) + -2*(sqrt(11) + (sqrt(176))**2 + sqrt(11)) + sqrt(11).\nAnswer: -352 - 14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*f + 136979264 = -2316810736. Round f to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 23*c = 4*c + 34*c - 640 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-251 - -222) + 106 - (3 + -1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97436413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btmc when four letters picked without replacement from vbggbgmvgtcc?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 10\/7, -5\/7, -0.9?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197866?\nAnswer: 2, 19, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1947 - 1985. Are -24 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) - 2109\/(-407) - 5. Solve 4*m - 8 + 0 = s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10134559, -10134247, -10133933, -10133617, -10133299, -10132979?\nAnswer: -10132657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((5655\/(-10))\/(-13))\/1)\/(378\/504).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {l: 2, y: 4, d: 4, w: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-32)*-12*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 4 + 2 + -6 + 10 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16 + 6 = 0. Solve -9 - 16 = d*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/8 + 12933*m\/4 + 6467 = 0.\nAnswer: -2, 25868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(3\/2)*u**(-1)*u**(-3)*u\/(u*u\/u**(-1)*u) assuming u is positive.\nAnswer: u**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 - 0.0280919?\nAnswer: 372.9719081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -323\/48454 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 16*l**2 + 14*l - 18. Let y be z(-15). Let k be (y - 546\/8)*-4. Let v = k + -204. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 6. Suppose 0 = a*r - 37 + 5. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*n + 23, 0*n - 3*n = -15. Suppose -d + 6 = g. Let w(o) = 31*o. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 22 - (2 + 77)) + 4 + 1 + -16?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -508 - 4*v**3 - 161*v - 507 + 2*v**2 + 1014 + v**4 - v**3 + 2*v**3 in the form c*v**2 + r*v**4 + t*v + n + q*v**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 323255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*p - 395 = 0, 0 = 5*h + 13*p - 10*p + 1909. Suppose -5*v + 0*v + 2705 = 0. Let c = h + v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - (-55 + 31 + 7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x. Let h(y) = 4*y - 2*y - 4 + x*y. Give h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 20*q**2 + 47*q + 8. What is s(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -720*w**4 + 5640*w**3 - 10565*w**2 - 1880*w - 80.\nAnswer: -5*(w - 4)**2*(12*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -70 (b) -1\/17 (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -240*p**3 + 29564*p**2 + 16814*p + 1980 = 0.\nAnswer: -2\/5, -1\/6, 495\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14222 - 13430.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 4\/5, 3, 3\/4, 0.2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (100\/8)\/(3\/(-6)). Let c = -12 - m. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1407*m**5 - m**4 - 9773*m wrt m?\nAnswer: 28140*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/40)\/((-130)\/(-208)). Let g = -0.1 - -0.1. What is the second biggest value in v, 7, g, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.83 and -17?\nAnswer: 18.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -0.5 (c) -4 (d) -2057 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 939 - 899. Calculate the greatest common divisor of l and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 766460 and 20140?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000466918916 to seven decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.544 + -37.844. Let r = -21 + 58. Let o = a + r. What is the third biggest value in 1\/14, 1\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 4*x - 46. Let o(z) = -z**3 - 6*z**2 - 5*z + 6. Let v be o(-6). Suppose -j + v = 2*j. What is the remainder when x is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308.68 + -326. Round m to one decimal place.\nAnswer: -17.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1 + sqrt(2299) - sqrt(2299)))**2 - 5*sqrt(2299)*5) + -2.\nAnswer: -275*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168044 - 168120.431. Let w = x - 0.069. Let i = w + 77. What is the second smallest value in -0.3, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 3.08. Which is the second biggest value? (a) -2\/11 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*-3*((-6188)\/(-234))\/(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 18. Let v be b(15). Let u(m) = -22005*m + 15. Let r be u(v). What is r rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 478 - -2282. Let a(r) = 6*r - 3. Let k be a(1). Suppose m + k*m = -w. Round m to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/253 and 15\/851.\nAnswer: 9361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46578 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.89 - 0.19. Let x = g - 2.4. Let a = -0.700094 - x. Round a to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 108*l**2 + 1942*l - 958. What is s(-85)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/11*((-6)\/8)\/(1548\/120*-5)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uevk when four letters picked without replacement from ekvkkvvvkvevkeukee.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*c + 2. Let u be 2*-1*(-5 - -10). Let n = u - c. Solve -n*k = 3 + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47304 divided by 146?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 113 = -47. Let o be 58\/6 + 5\/15. What is the greatest common factor of c and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -201*x - 2208. Let r be d(-11). Suppose -5*f - 26 = -116. Solve -5*m - r*w - 7 - f = 0, 5*m - 2*w = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.482731 months in centuries?\nAnswer: 0.0170689425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11885947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*n - 165*n + 10*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 123*s**2 + 255*s - 129 = 0. What is s?\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25348*t**3*y**3 - 85*t**3*y**2 - 31*t**3*y + 3*y**2 - 2 wrt y.\nAnswer: 152088*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*h - 5*v = -1576*h - 374, -h + 2*v + 22 = 0 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 3*y**4 - 5*y**4 - 1 + 0*y**2 + 4*y**2 - 2 to c*y**3 + j*y**4 + o*y + p*y**2 + a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/56820 and -157\/56820?\nAnswer: 56820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j\/((j\/(j*j**(4\/7)))\/j))*(j**(1\/2))**(-31))\/(j*j\/j**(-7)*j**4\/j*j)**21 assuming j is positive.\nAnswer: j**(-4159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -16012.63205036?\nAnswer: 16008.63205036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847506 is divided by 169501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7849 - -37618. List the prime factors of a.\nAnswer: 3, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -168 or -182?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27895, 27915, 27955, 28021, 28119, 28255, 28435, 28665?\n\"Answer: f**3 + 4*f**2 + f + 27889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -0.07.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 130 - 1794\/1495*(-5)\/6*-2. Suppose -4*h = n - 296, 1110 + 52 = 4*n + 5*h. Calculate the greatest common divisor of n and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3315 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 17*i**2 + 17*i + 20. Let o be x(18). Suppose -7*u - 46800000 = o*u. What is u rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 6*z**2 + 8*z = 0. Calculate z.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*-6)\/(sqrt(32)*3).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*f = 121*f + 504. Let q = -15 - -29. Calculate the highest common divisor of q and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8837365 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 6, l: 2, q: 1}. What is prob of picking 1 l and 1 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -787551738 and -4.\nAnswer: 3150206952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 55. Let x be -1 - 1\/(3 + r + 0). Sort -1, x, 2, -5 in increasing order.\nAnswer: -5, -1, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*f + 72 = 457*f, 2*s + f - 20 + 56 = 5*f for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 369\/(-30) + (-1)\/(-4). Let o = m - -49\/4. Put 4, o, 1 in decreasing order.\nAnswer: 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k. Let r(d) = 9*d**2 - 17*d. Give r(y(m)).\nAnswer: 144*m**2 - 68*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**2 - 258*l - 10. What is m(-17)?\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + m + 3. Let r be q(5). Let d(l) = l**3 + 8*l**2 + 4. Let c be d(-8). Let g = r - c. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1393d - -2?\nAnswer: -1393b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:55 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -558822.\nAnswer: -7\/558822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1316816.8599986 + -1316817. Let x = -0.14 - f. Round x to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + 44*h - 22. Let a be r(18). Let f = 259 + a. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56168688?\nAnswer: 2, 3, 41, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1462\/306)\/43 - 161\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 78557719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrrrrrrcr. What is prob of sequence rrc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 37118*t - 5741. Is y(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 52. Let z be (1*-14)\/(1 - 0). Let d = -7 - z. What is the highest common factor of t and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1 - 36*o + 53*o**2 - 73*o**2 + 25*o**2 - 5. What is the units digit of j(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -118 + 104 - 47*d + 14. Let f(j) = 104*j**2. Determine f(x(p)).\nAnswer: 229736*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -c + 69431, 84369 - 14932 = 3*v + 4*c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 3*u, -t - 3*t + 68 = 3*u. Is t at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 - 157365*s**2 = 0.\nAnswer: -31473, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(75)*-5 + sqrt(33)\/(sqrt(11) + sqrt(44) + sqrt(11)) + sqrt(3) + 1*sqrt(147))**2.\nAnswer: 201*sqrt(3)\/2 + 13611\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czww when four letters picked without replacement from {w: 11, z: 1, c: 8}.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 10. Suppose s*l - 2*v - 11 = 3*v, -2*l = 4*v + 22. Let i be (396 - l)\/3*1. What is the highest common divisor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -c - 2*p, 7 = -2*c - 3*p - 7. Let l = -0.01 + -0.09. Let s = l - -2.1. What is the third biggest value in s, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 + 8 = 0. Which is the closest to -2\/3? (a) 2 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**7\/42 - 7*n**6\/30 - 3*n**5\/20 + 59*n**4\/12 + 52*n**3\/3 + 24*n**2 + 2*n + 1318. Determine k so that z(k) = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1971 and 39?\nAnswer: 25623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 7. Let f(u) = 2*u + 25. Let o be f(-14). Let z be s(o). Let j(g) = 125*g - 125*g - 8*g**z. Let h(i) = i. What is h(j(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k - 17*k - 32*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 139, 157, 175, 193?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11449540 - 251952975\/22. Let r = q - -2867. Calculate the common denominator of r and (-1)\/5 - (-62)\/60.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28543 and 9?\nAnswer: -256887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11547285 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 7) to base 12\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3875218*r**2 + 5*r - 5*r - 1.\nAnswer: 3875218*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**7\/140 + 11*s**6\/240 - s**5\/15 - s**4\/12 - s**2 + 2. Let m(d) be the second derivative of a(d). Factor m(r).\nAnswer: -r*(r - 2)**2*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -n + 9 + 9, 12 = 2*z - 3*n. Let f be (-6)\/9 + (-236)\/z. Let v = f - -125. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6850975109 to the nearest integer?\nAnswer: 82771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/15)\/(48\/(-500)). Let y = x + 301\/156. Sort -0.4, 4, y in ascending order.\nAnswer: -0.4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55143.\nAnswer: 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -497dee?\nAnswer: -497e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8471 less than 1\/48619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:34 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2 - 2)*(-2*k - 3 + 3) + 2186847 - 1093432 - 1093428 - 3*k**2 + 201*k.\nAnswer: -7*k**2 + 201*k - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*c - 173 = -177, -4*c = -3*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 3*k - 252 - 3*k.\nAnswer: -6*k - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -446040 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.9 + -6.8. What is the closest to 1\/2 in j, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1279997814, -1279997817, -1279997822, -1279997829?\nAnswer: -1279997838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.16088 (b) 1\/6 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 569504731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 14*f - 11. Let z be x(-7). Let d(p) = p**2 - 12*p + 10. Let k be d(z). Let q = k + -167. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/7 - 117\/14. Put r, -12, -1 in descending order.\nAnswer: r, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-35))\/((-4)\/14). Let y = 11 - h. Calculate the smallest common multiple of 11 and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 35. Suppose 0 = t - 5*f + 5, -2*f - 153 = -155. Which is the nearest to -1\/13? (a) 5 (b) g (c) t (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -317 - -342. Solve -r = -2*a + 7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 94*k + 13349. Let y be q(-142). Let p = 25\/2 - 11. Which is the fourth biggest value? (a) 41 (b) y (c) p (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**6\/240 - 3*n**5\/160 + n**4\/96 + n**3\/16 - n**2\/8 + 4*n. Suppose u(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15610 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 - 6*a**2 + 5*a**2 + 14 - 14 + 6*a**2 + (-2*a - 5*a + 7*a**2 + 4*a)*(-2 + 4 - 3)*(-1 - 2 - 1).\nAnswer: 28*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42419903\/2 or -21209952?\nAnswer: -42419903\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 2*f - 6, -2*f = -4*c - 8. Sort -6, c, 5 in increasing order.\nAnswer: -6, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533849450 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 2.05. Let t = 307.9 + -293. Let z = t + -13.9. What is the closest to z in 2\/27, -3\/7, o?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -26882\nAnswer: 5376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3457088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (7 - 10)*1\/3. Let i be (-4)\/w*1\/((-1)\/(-5)). Suppose -118 = -9*n - i. Solve -2*g - 2*g = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28895 + 34619.4. Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3192077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f. Let s(g) = -g - 33. Calculate a(s(m)).\nAnswer: 3*m + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/39)\/1*49\/(-7252)*37?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136345468 to the nearest integer?\nAnswer: 11677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97825 and 63167.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**6\/10 + g**3\/2 + g - 1. Let r(t) be the first derivative of i(t). What is the second derivative of r(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + h**2 - 3*h**2)*(-h**3 + 3*h**2 - 3*h**2) - 6911*h**2 + 34 + 5*h**5 + 6911*h**2.\nAnswer: 13*h**5 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470520 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 56, 87, 132?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let k be w(2). Let z(j) = j**k + j**3 + 3*j**2 + 2*j**2 + 3*j - 4. Calculate the least common multiple of z(-5) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1961, -2 in descending order.\nAnswer: 1961, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/355?\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1167*y + 587*y = -579*y - 1701. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38a94 (base 16) to base 11\nAnswer: -149406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.092651 rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - u + u)*(0 - 1 + 2)*(123 - 75 - 38 - 190 - 154).\nAnswer: -2004*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -180, -201, -232, -273, -324, -385?\n\"Answer: -5*g**2 - 6*g - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1880*k = 1866*k + 28. What is the least common multiple of 922 and k?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1427\/15 - ((-107)\/(-15) + (-1675 - -1668))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169608 and 1719.\nAnswer: 508824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-20) + 329\/(-10) + 33)\/((-2)\/156).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/784 and -11\/336.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**3))\/(v\/v**6)*((v*v*v*v*v\/(v*v\/(v\/((v**(-1)\/v)\/v)*v)))\/v)\/(v\/(v\/(v*v**0))))**(-11) assuming v is positive.\nAnswer: v**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (34\/3)\/(66\/63 - 1) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Let x be t(-3). Suppose -g + 1 + x = 0. Let p = 3 + g. Solve -4*u - 2*n - p = 0, u + u - n + 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6) - 12\/9. Find the second derivative of -5*o**4 - 28*o**s - 12*o + 28*o**2 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1496028 by 374007.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15 + 5\/15)*9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 - m**4\/4 + m**2 + 11*m. Let k be y(3). Factor 4\/9*b + 2\/9 + 2\/9*b**k.\nAnswer: 2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661747306 minus -356?\nAnswer: 2661747662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2920854*i + 2920854*i + 207 + 4*i**2 to the form h*i + y*i**2 + v and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - 122. Let i(b) = -2*b + 6. Let t(f) = -6*f + 17. What is j*i(p) - 6*t(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 take away -0.189?\nAnswer: -64.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 12*u + 6. Suppose 20*d = 4*j + 16*d - 16, d + 32 = -6*j. Determine r(j).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**3 + 38*z**2 - 69*z**2 + 31*z**2.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1181.22 - -1337. Round b to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**2\/2 - m - 10. Let t(h) = 4*h**3 + 4*h**2 + 16*h - 24. Let r(a) = -24*n(a) + t(a). Factor r(u).\nAnswer: 4*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10)*(-10)\/6. Let z(f) = 4*f**3 + f**2 - f. Let u be z(1). Suppose -7*h - 16 = -3*h. Which is the second biggest value? (a) u (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 5*s**2 - 2*s - 1. Calculate the least common multiple of 6 and u(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:18 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 7533504?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*(sqrt(539) + 0))**2*-2 + ((2*sqrt(539) - sqrt(539)) + 5 - sqrt(539))*6 + 4)*-6.\nAnswer: -309852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-156)\/(-42) - -3*2\/21 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*z = 3*w, -2*w + 0*z = 2*z - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let l(v) be the first derivative of -v**3\/3 - 17*v**2 + 24*v + 78. Let a(w) = -4*j(w) - l(w). Find the first derivative of a(c) wrt c.\nAnswer: 2*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(3 + 0 - 2)*(1919 - 1919 - 2*d**2 - 132*d**3)*(0 - d + 0).\nAnswer: -264*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 230?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3405, 0.11, 0.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2016123 - -0.5142.\nAnswer: 2016123.5142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + p**2 + 5*p - 6. Let z be n(-4). Let g = z - 116. Suppose g*w - 3*l = -108, -4*w - 5*l - 286 = -92. Is w at most -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 3, 44.6, 0, 2, 2.3692 in decreasing order.\nAnswer: 44.6, 4, 3, 2.3692, 2, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzzwczbbslllb. What is prob of picking 1 s and 1 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3 - 119*d + 33?\nAnswer: -6*d**2 - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -730.40466923 and 8.\nAnswer: -722.40466923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21058a2 (base 12) to base 5\nAnswer: 3043340324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -3, -4, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7616\/665 + (9 - 2064\/228)*1.\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 280 + -167. Let a = 112.9999869 - n. What is a rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 1. Let c be i(1). Let t(u) = 2 - u - u**3 - u**2 + 0 + c. Let m = 20 - 20. Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7 plus -429.1?\nAnswer: -421.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-10)*4\/(-8)*-5. Suppose -1021 = -x*j + 617. Let f = j - 133. Is f a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = 5*a - 10613*l + 10616*l, 5*l + 44 = a + 3*l for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -13 - 75. Let o = -9 - -13. What is the least common multiple of f and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -11) + -1 - (1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/805629 and 64\/219717?\nAnswer: 2416887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.92 - 10.\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10556.54 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.097018 hours to minutes.\nAnswer: 185.82108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -55. Let j be 3 + 13\/(-3) - 0. Which is the nearest to 2? (a) 3 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 37*g**3 + g**2 - g + 1. Let p be m(1). Suppose -z + 0*z = -p. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:58 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -342.\nAnswer: 8550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 11*z**2 - 32*z + 21. Let w be i(3). Let o be (5 - (0 - 1)) + -1. Put -6, o, w, -10 in increasing order.\nAnswer: -10, -6, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.2 times 0.39\nAnswer: 9.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 1 + q + 5 - 2*q - 7 as p*q**4 + o*q + c*q**3 + n + f*q**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 - 613*i + 18592. Determine c(67).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -90. Suppose 0 = 3*m + d - 3, 0 = -4*m - t*d + 4. Let z(o) = -1. Let i(b) be the second derivative of -b**3\/6 + 2*b**2 - b. Give m*i(a) + 4*z(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*o - 9 + 34, o = -2*u + 7. Let g(t) = 3*t**2 + t + 1. Let m be g(o). Is 11 a factor of -6*(-20)\/m + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.52 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 1 = -3*j - 4, 0 = j + 2*w + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15092 is divided by 298.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiriiiirririrniiii. What is prob of picking 3 r?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2524412 or 2524414?\nAnswer: 2524414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(-3)*(-93)\/(-93)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 322, 479, 636?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*o*z**3 + 14104*o + 251*z**4 + 7 wrt z?\nAnswer: -207*o*z**2 + 1004*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/7 - 300*o + 2103\/7 = 0.\nAnswer: -701, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 + 12212?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*x + 34 - 34)*(-4 + 3 + 2) in the form h + u*x and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 19, 36, 53, 70?\n\"Answer: 17*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*n - 3404 = -90*n + 2238 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20966 divided by 20966.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - 10*a**2 + 27*a + 5. Let y(p) = 2*p**2 - p - 1. Calculate -l(o) - 5*y(o).\nAnswer: -4*o**3 - 22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -12. Let m = v + -3. Let b = -2.9 - -2.9. What is the nearest to b in -1, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 1266, -0.4, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(147\/6)*(-14)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 95, 4, 12 in increasing order.\nAnswer: 1\/2, 4, 12, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6 - 6 = 3*h, -8*h - 2*l + 6 = -0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*h = 126*h + 93364. Does 89 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2\/27*l**3 + 0*l + 279 + l**2. Factor b(y).\nAnswer: 2*y*(y + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 26. Let i = -48 + 48. Suppose i = -3*l + 12 + 3. Calculate the remainder when f is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/41301 and -145\/357942?\nAnswer: 1073826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7 + 34\/28)\/(3248\/(-2436))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49680 and 2263572?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -45. Suppose 0 = -5*y + h, -58 = w + 5*y - 319. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -457*y. Let q(h) = -h. Give q(f(u)).\nAnswer: 457*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-21))\/(2\/(-12)). What is k rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0854628nm?\nAnswer: 0.00000000854628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-3)\/(-9)). Let b = 2 - i. Solve -b*f - 15 = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362400 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/3 + 84932*y**2\/3 + 254602*y\/3 - 7473488\/3 = 0. What is y?\nAnswer: -42463, -11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1672, 6710, 15116, 26896, 42056, 60602?\nAnswer: 82540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*-2*(sqrt(304) - ((sqrt(304) + 1)*-2)**2) + -3.\nAnswer: 1400*sqrt(19) + 60997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -2.1. Let f = o - 2.3. Let w = -53 + 48. Which is the second smallest value? (a) f (b) -2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222101 - -10012212?\nAnswer: 12012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 564.\nAnswer: 563.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6443*d - 3219*d - 3222*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 38?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q + (2 + 1 - 4)*(-1 + 1 - 2*q) + 5*q - 2*q - 4*q)*(5*q**3 - 3*q**3 + 3*q**3) - 19 - 14 - 2*q**3 - 738*q**4 + 31.\nAnswer: -723*q**4 - 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14913 and 769344.\nAnswer: 3824409024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 32 = 27. Put 4, j, -7 in decreasing order.\nAnswer: 4, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034502044 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 1. Let d be l(1). Let s(a) = 2*a - 6. Let h be s(d). Let m(f) = -11*f - 1. Let o be m(-1). Calculate the greatest common divisor of o and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*h - 96214 + 19994 = 0. Sort 3, 5, h, -3 in ascending order.\nAnswer: -3, 3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4\/4 + 5*u**3\/3 - 5*u**2\/2 + 5*u - 2. Let i be x(4). Solve 3*m + i = -5*o, 2*o - o - 2*m = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 14. Which is the closest to 0.4? (a) -1 (b) -0.3 (c) p (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 81 - 78 + 22*r - 23*r. What is g(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*d, -5*h + d + 6 + 93 = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. Let a(r) = r**2 - 6*r + 5. Let l be a(h). What are the prime factors of 10*l\/(-6) + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497 (base 13) in base 5?\nAnswer: -43442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 6162*y\/5 + 1651887\/5.\nAnswer: 3*(y + 317)*(y + 1737)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:45 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108*i**2*p + 12*i**2 - 155*p with respect to i.\nAnswer: -216*i*p + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -75*t**2 - 3*t + 573. Let x(h) = -23*h**2 - h + 1. Determine w(z) - 3*x(z).\nAnswer: -6*z**2 + 570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + q**2 - q + 1. Suppose 3*b + 9 - 3 = 2*c, 0 = b - 2. Calculate the remainder when g(2) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 266, 275, 288, 305, 326?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 48*x - 52*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103034191979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, -0.1, -1\/3, 523 in descending order.\nAnswer: 523, 0.5, 0.3, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0.534623 in ascending order.\nAnswer: 0.534623, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.2 (c) -0.4 (d) 15\/2 (e) 8 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10*-1)\/((-6)\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87662 is divided by 86028?\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 170473 = -4*t, 2*t - 85219 = -158*j + 155*j. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:05 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57927124 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 1. Let s(c) = -2 - 1 + 2 + k*c. Calculate s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 15. Find the third derivative of a**4 + 3*a**g - 3*a**2 - a**4 + a**5 wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 368\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 3. Let j(i) = -i**3 - i - 1. What is 3*j(m) - l(m)?\nAnswer: m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**4*r - 2*l**4 - 521318*l**3 - 3*l**2*r - 456*l*r - 9*l - r + 4 wrt l?\nAnswer: -72*l*r - 48*l - 3127908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -47, -2\/81, 0.02, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 275 = -s + 4*r, -s + 5*r = 55. Let j be (-16)\/(-10)*s\/(-22). Suppose o + j*o = 50. Solve d + o = 2*z, -5*d - z - 3*z - 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, e: 7}. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*-3 - -2. Put 43, -3, -1, d in descending order.\nAnswer: 43, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 225?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 - 25*c + 1. Let l(q) = 24*q**2 - 153*q + 2. Let i(j) = -2*l(j) + 13*w(j). What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -513876328.799 + 513875519.798999314. Let d = q - -809. Round d to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -14 + 2, -5*g = -4*f - 31. Suppose 1510 = -2*j + 6*j - k, -g*j + 4*k = -1139. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 2, v: 7}. What is prob of picking 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 9*d - 2. List the prime factors of u(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2. Let d(s) = 2439*s. Determine t(d(n)).\nAnswer: 17846163*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 9 - (-4 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - 3*z + 1. Let p(u) = -365*u**3 - u + 364*u**3 + 2*u. What is -3*p(n) - x(n)?\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:50 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 2*z**2 - 2*z + 12. Let k(b) = 4*b**3 - 6*b**2 - 6*b + 35. Let a(j) = -6*k(j) + 17*y(j). Let i(w) = -w**3 - 1. Give a(s) - 6*i(s).\nAnswer: -s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329103 by 7.\nAnswer: -329103\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(-1\/2)))**(-7\/8)*i**(-3\/8)*i**(-1\/4)*i*(i\/i**(-5)*(i\/(i*i**(-4)))\/i)\/(i**(-2\/3))**(-4) assuming i is positive.\nAnswer: i**(259\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 766734.14 and 0.5.\nAnswer: 766734.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4320) + (sqrt(2430) + sqrt(2430) + 1*sqrt(2430) + sqrt(2430) - sqrt(30)))\/(((sqrt(80) - (-3*sqrt(80)*1 + sqrt(80))) + sqrt(80))\/sqrt(8)).\nAnswer: 11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -1\/5, 1, 782, -1\/7, 6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 10*n + 11. Suppose 0 = -6*u - u + 77. Let h be a(u). Suppose h = -8*k - 0 + 40. Solve 0 = k*q + 17 + 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 25\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29 and 6766.9068493.\nAnswer: 6737.9068493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/175 - (-4)\/448*-164.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273518277.\nAnswer: 1273518277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 4*l - 2. Suppose 2*x = x + 4. Let y be 6\/(-12) - (-14)\/x. What is z(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 1120*x = -1118*x - 44, v - 10 = -x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = k - 0 + 13, -4*k - 28 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 10*g - 5. Let o be 3\/6*0*1. Suppose o = -0*k - 4*k - 4*x + 20, 9 = 3*x. What is the remainder when p(11) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 8*m - 12. Let w be a(3). Suppose 4*c + 14 = w. Let 2\/7*o**5 + 32\/7*o + 0 + 66\/7*o**3 + 80\/7*o**2 + 20\/7*o**c = 0. Calculate o.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631.67 minus -6.65575?\nAnswer: -625.01425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/20 - d**5\/10 - 6*d**2. What is the third derivative of s(o) wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3113 and 0.4.\nAnswer: 0.7113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*8\/(-20) + 0. Suppose a = 11*a - 90. Does 7 divide (24\/a - k)\/((-3)\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-6 - -3) + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:54 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = -5*p, 0*p - 11 = n + 2*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 11418*v**4 + 16302042*v**3 + 10353582648*v**2 + 2474465554827*v + 4907647012806.\nAnswer: 3*(v + 2)*(v + 951)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13384833?\nAnswer: 3, 7, 11, 57943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1235 + -30?\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 9. Suppose 65 = o*f - 4*g, -1 = f + 4*g + 4. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 3*j = 3, f - 2*j + 2 = 0. Let w be 1\/15*(-9)\/12. Is f at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 31 = 4*t - 41, -3*t + 4*j = -54. What is the smallest common multiple of t and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 6*q - 8. Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -423 and -423 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -687774, -1377336, -2066898?\n\"Answer: -689562*a + 1788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 663, 987, 1305, 1617, 1923, 2223?\nAnswer: 2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 1)*(-3)\/(-9). Suppose 4 - 7 = v*d. Let c be (1 + -4)\/((-102)\/4). Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18297 - (9 - 30\/6). What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4189026880845\nAnswer: -4189026880837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 11, 2, -6, 3 in descending order.\nAnswer: 12, 11, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 695045828 to the power of 1\/3, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 29 + 0 - 4*w**3 - 12.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/((-4)\/(-6)) + 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 1000 = 3*l. What is the lowest common multiple of l and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.80965 millennia to centuries.\nAnswer: 838.0965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85993281119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182, 178, 172, 164, 154, 142, 128?\n\"Answer: -n**2 - n + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -11, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {l: 5, d: 1, i: 1, c: 1, b: 3, z: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372978 is divided by 686487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 11*l**7\/21 + l**5\/20 + 55*l**4\/12 + 13*l**3 - 17*l**2 + 4211*l - 1. What is the second derivative of g(j) wrt j?\nAnswer: 440*j**3 + 6*j + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 + 13446*u**4 - 744994*u**3 + 3972018*u**2 + 744992*u - 3985464 = 0. Calculate u.\nAnswer: -6778, -1, 1, 6, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29804.02*0.4.\nAnswer: -11921.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 + 632 - 321 + a**2 in the form m*a**2 + i + d*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114.2 + 114. What is the second biggest value in 2, w, 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38532*x**3 + 115*x**2 + 334*x.\nAnswer: -231192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52 - 12 - 3*k + 40*k**2 - 20 - 18 wrt k?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 + 10*m + 12. Let c(i) = 8*i**2 - 11*i - 13. Let n(w) = 6*c(w) + 7*y(w). Suppose -2 = d + 2. Let u be (-51)\/(-9) + d\/6. What is n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*r**2 - 5*r**2 + 858 + 1824*r**4 - 835 wrt r.\nAnswer: 43776*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/27 + 44\/154 + (-206)\/(-63). Solve -u*i = 0, 7*i = -3*h + 4*i + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1654\/9, 1\/5, 0.43, -6?\nAnswer: 1654\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/3, -0.5, -61, -83\/5, -3?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-10) - 7\/(-35)) + -3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) 0.5 (c) 5 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 18 - 30 + 17 - m**3 - 7*m + 3 in the form a*m**2 + q*m + h*m**3 + c and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r - 16. Suppose 26 = -r*w + 36. Suppose w*m + 3*n = 1415, -143 = -m + 3*n + 122. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 538 - g**2 - 190 - 204.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 193?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1109.7 + -1110. What is the second smallest value in j, 34, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t)**(22\/3)\/(t\/(t\/(t**(-1\/4)*t*t)))**(1\/5)*(t**(-1))**(-47)\/(t**(-1\/4)*t*((t**(2\/5)*t)\/t)\/t) assuming t is positive.\nAnswer: t**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/5 + 346*h**4\/5 - 139*h**3 + 348*h**2\/5 = 0.\nAnswer: -348, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r, -37 = -5*q + 5*r - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4) - (sqrt(8)\/sqrt(4)*1)**2.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 - 98*f**3 + 2264*f**2 + 4818*f + 2457 = 0. Calculate f.\nAnswer: -117, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -235\/3, 0.2, 4, 1\/2?\nAnswer: -235\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37564 - 37567. Let c be ((1 - 2) + 1)\/2. What is the second biggest value in -0.12, c, o?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74434 is divided by 3234.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*z = -3*u + 2*z - 2, -11*z + 12 = -4*u - 22*z + 9*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*t**2 + 0 + (-2*t - 1 + 1)*(2*t - 2*t - t))*(7 + 4 + 1) as y*t**2 + v + c*t and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165546873?\nAnswer: 3, 1093, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*x - 6 = -299*x. Which is the smallest value? (a) x (b) -34\/9 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276022*f**2*g**3 + 688*f - 48*g**3 + 13*g**2 wrt f?\nAnswer: 552044*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 521633 + 521633.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = 0, -4*y - 3*d + 15 = 72. Let a = y - -33. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 equal to 198311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -11. Solve -3*n + 14 + 1 = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -2*p - 1\/12*p**4 + 0*p**2 + 0 + 0*p**3. Let r(j) be the second derivative of -j**4\/4 + j. What is r(l(t))?\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Find the second derivative of 4*h + 25*h - 13*h - 26*h**j wrt h.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.03 + -8. Let b = -51259 - -51264. What is the second smallest value in h, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5553008 + 8.\nAnswer: -5553000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f**2. Let r(y) be the third derivative of 7*y**5\/12 + 331*y**2 - 2. What is r(x(v))?\nAnswer: 8960*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 1. Let c be v(1). Let y(p) = -2*p - 3*p - 3*p**2 + c*p. Calculate y(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 68724110?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1348 - -0.125. Round p to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 254?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 114*q**2 + 397*q - 4858. Give f(-110).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5446 divided by 7\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 124 and 112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1536690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23324786 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4212 = -254*q + 84*q - 64*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 386\nAnswer: 3\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/400 and 23\/500.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306925085*u**2 + 14*u + 4613612 wrt u?\nAnswer: 613850170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211452 and 652044.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 239, 480, 711, 926, 1119, 1284, 1415?\n\"Answer: -r**3 + r**2 + 245*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -4\/63 (c) 2.5704\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2*(sqrt(99) + (sqrt(99)*-3 - sqrt(99))) + -1 + (0 + sqrt(99) - sqrt(99)) + 4)*-2*3)**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 - 430 = -5*u + 5*f, -2*u - f + 272 = 0. Calculate the remainder when 533 is divided by u.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 35 = 44. Is (x + -2 + 928)*(18 - 17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)*(-24)\/36. Let w = k + 1. Sort w, 2, 7.\nAnswer: w, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13985 - 1?\nAnswer: 13984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18667, 18679, 18703, 18745, 18811, 18907, 19039, 19213?\n\"Answer: v**3 + 5*v + 18661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 112, 100, 80, 46, -8, -88, -200?\n\"Answer: -p**3 + 2*p**2 - 11*p + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 56. What is the remainder when m is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + -5)**2*2 + sqrt(13) + -1 + 2 + (2 + sqrt(1053))**2.\nAnswer: 117*sqrt(13) + 754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70512*d + 35254*d + 273*d**3 + 35258*d - 61*d**3.\nAnswer: 212*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2939 - -4?\nAnswer: 2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)\/(q*q\/((q*q**4)\/q))*(q**(2\/5)\/q)\/q**(-2\/5)*(q*q**(-1\/6)*q**(-4\/7))\/(q*((q\/q**(-6))\/q)\/q*q**(-1\/4)) assuming q is positive.\nAnswer: q**(-2389\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3919032)\/(-14924))\/(-106) + (-2)\/(-41)?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i**2 + 8*i + 1. Give q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (1 + sqrt(17)*1)**2)*6.\nAnswer: -108 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + a)*(-2*a - 2 + 2)*(-1 - 4 + 0).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.26481s to nanoseconds.\nAnswer: 37264810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-126) + (-415)\/(-7). Let a(p) = p**3 - p**2 - p - 39. Let g be a(0). Let r = g + d. Solve -5*u = -v - 5 - 0, -3*u = 4*v + r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -62 + 24 + 23 - v + 13. Calculate d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102790 a multiple of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 57) + 282 + -186\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0) + 6 - 2. Suppose p*z - z = 70. Calculate the smallest common multiple of 2 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29461000 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2. Let k(a) = 7*a**3 + a**2 - 1. Let s(n) = 6*h(n) - k(n). Let t be (-2)\/(-10) - (-528)\/110. Give s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-9\/11))\/c)\/(c*c*(c*c\/c**(2\/23)*c)\/c*c) assuming c is positive.\nAnswer: c**(-1036\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -12 + 4 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 11. Let f be p(7). Factor -5*c + f*c + 5*c**2 + 0*c - 2*c - c.\nAnswer: 5*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -34. Suppose p + g = -4*p + 46, 4*p = 3*g + r. Suppose -7*m + p = -5*m. Solve u + 2 = m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 29. What is the closest to 2\/7 in w, 0, 3\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -9*f - f. Suppose f*q - 2*q + 640 = 0. Let u = -227 + q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228019990*z**3 + 21689*z**2 - z - 641.\nAnswer: 1368119940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2502 + 42.2398. Let h = l + -36.1. Round h to 1 decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 124 = 3*g - 0*g, g - 44 = -k. Let z be (3 + g\/(-15))*-4. Sort -2\/13, z, -5 in descending order.\nAnswer: z, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4 in increasing order.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/21)\/(7\/98)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 6*g**2 - 2*g + 72. Let d be o(7). Let v be -1 - (589 + -10)*1. Is v != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -46, -75, -98?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/7 and -77\/991769858.\nAnswer: 6942389006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 11. Suppose 0 = -3*q - q. Let x = 2 - q. Solve 27 = -5*u - v + x*v, o = -u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 209454282252 - 0.03\nAnswer: 209454282251.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 + -424 - 9\/(-4)*(-8)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8467 or 8468?\nAnswer: 8468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 3*f - 1. Let t(i) = -23*i**2 + 47*i + 2. Let y(x) = -2*c(x) - t(x). Find the second derivative of y(g) wrt g.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -98, -111, -70, 43?\n\"Answer: 3*q**3 - 70*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*q + 8237 = 0, 4*s - 5376 = 4*q + 11048. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -656 and -190.89?\nAnswer: 125223.84","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*u = 67*u + 10. Let l = 75 + -53. Suppose 6 = -4*n + l. Solve t = u*t - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 21*o**2 + 1. Let h(f) be the first derivative of -f**4\/6 + 13*f**2 - f - 33. Let a(d) be the second derivative of h(d). What is r(a(j))?\nAnswer: 336*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(6\/19))**35*(((r**(-11)*r)\/r)\/r)**(-2\/47))**(-36) assuming r is positive.\nAnswer: r**(-786276\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejpeteteetee. Give prob of sequence et.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-9) + 0)*3. Let m(n) = -7*n**3 - n**2 - 3*n + 3. Let r(i) = 20*i**3 + 2*i**2 + 8*i - 8. Determine q*m(g) + 3*r(g).\nAnswer: 4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/5, -0.2, -11, 4, 484 in descending order.\nAnswer: 484, 4, 11\/5, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1734 - -1933.7. Let q = 200 - j. Sort 1, 2\/3, -22, q in increasing order.\nAnswer: -22, q, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**5 - h**4 + h**3 - h**2 - 1. Let n(z) = 4*z**5 + 6*z**4 - 5*z**3 - 3*z**2 + z + 6. Let v(g) = -3*j(g) - n(g). Suppose v(s) = 0. Calculate s.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51875, 103873, 155875, 207881, 259891, 311905?\n\"Answer: 2*g**2 + 51992*g - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238495 and 455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-190)\/(-6) - (-1)\/3. Sort -2, -1, w in decreasing order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775979?\nAnswer: 3, 65777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3461 + 3336 = -107*d + 5011 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 3. Let h(p) = -2*p - 3. Let k(t) = 3*g(t) - 2*h(t). Let z(c) = -c. What is -k(w) + 4*z(w)?\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-160))\/((-22)\/(-20)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.082 (b) 85 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9142308 = 17*s + 12*s. Is 9 a factor of 4\/(-3)*s\/336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 67*t**3 + 4*t - 72*t**3 - 2*t - 2*t**4 to f*t + k*t**3 + d + l*t**2 + a*t**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -425 + 425.00723. What is q rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x = 54*x - 12 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r - 24*r - 16*r + 76*r - 16*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -74. Suppose -5*b = -4*j + s, -5*j + 0 = 3*b + 3. Let u(c) = 11 - 3 + j + c - 1. Determine u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-12))\/(-5)*(17 + -20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -7*x**6\/30 + x**5\/4 - 7*x**2. What is the third derivative of n(t) wrt t?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119052?\nAnswer: 2, 3, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 7\/(7\/(-2)). What is the remainder when (-157)\/(-4) - (-2)\/l is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfoy when four letters picked without replacement from obyoovyyvf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - y + 3*y - 17 = 0, -5*u + 5*y = -10. Let g be 1\/(u\/45*1). Solve g = 3*b, f - 26 = -3*b - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -53345?\nAnswer: 640140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2139 + -1827. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 320*c**2 + 388*c**2 + 12 - 11.\nAnswer: 68*c**2 - 11*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/7)\/((112\/(-49))\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -25d?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 40, -3\/8, -5, -3080, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 - j**4\/8 - 7*j**2\/2 + 4*j. Let q(f) be the first derivative of a(f). Factor q(b).\nAnswer: -3*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + 4*m**2 + 3. Suppose 4*a - 2*o = 9*a + 5, -4*a + 2*o - 22 = 0. Let z be t(a). Suppose 23*w = 28*w - z. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) -0.2 (c) -0.5 (d) -1 (e) -1\/4 (f) 454 (g) 53\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 4. Let c be k(-4). Let d = c + 8. Put -4, d, -3 in increasing order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - ((34 - 23) + -9 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7943254 and 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13403.13 litres in millilitres?\nAnswer: 13403130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/1797 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.12?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2013144\/533 + 3777. Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 347772467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 12*g - 5. Let s(c) = 26*c + 114. Let j be s(-3). Suppose 4*d = b + j, 0 = d - 4*b + 10 - 34. What is the remainder when p(5) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = -4*z - 31*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/88, 4, 2\/73, -4, -1\/4?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -331032204 (base 5) in base 7?\nAnswer: -15050522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:21 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15\/7, -0.15, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**5 - 94*k**3 + 46*k**3 + k**5 + (2*k**3 + 4*k**2 - 4*k**2)*(0*k**2 + 2*k**2 - 4*k**2).\nAnswer: 2*k**5 - 48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - (-1070)\/(-50). List the prime factors of (-2)\/(-6) - 476\/g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2108*d - 10859. Determine w(5).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let l be k(6). Suppose 4*b - 4 = l. Suppose 2*m - x - 41 = 0, b*x - 1 - 2 = -m. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-216)\/(-21) - 6\/21. Suppose 5*c - 40 + a = 0. Calculate the remainder when 34 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + -63. Suppose -2*q = -6*q + v. Suppose 0 = 3*k + 2*r - 27 - q, 0 = 5*r - 25. What is the highest common divisor of k and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 + 2\/9*u**7 + 104\/9*u**3 + 103\/15*u**5 + 110\/9*u**4 + 88\/45*u**6 + 16\/3*u**2 + 10*u. Determine h, given that y(h) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 - 27 - y**3 - 4*y**4 + 23 - 7*y - 14*y**2 + 15*y**2 to the form a + v*y + z*y**4 + t*y**3 + l*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 779243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -79*r. Let j(a) = -13*a**2. Calculate j(g(u)).\nAnswer: -81133*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2931)*1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**3 + 380*u**2 - 114*u - 828. What is t(63)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10501357*a**3*l - 3*a**2*l - 29932*a**2 - 14*l wrt a?\nAnswer: -63008142*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18 and 41\/35542?\nAnswer: 319878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -33. Suppose -r - 1 = -5*o. Let k be 2\/o + 38\/8. Solve -2*z = 3*c - 22, 0 = -k*z - 2*c + 5*c + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r + 600. Let o be (-64)\/56 + 340\/(-119) - -274. Calculate the highest common divisor of r and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4\/9 - 14*h**3\/9 + 92*h**2\/9 - 14*h\/3 = 0.\nAnswer: -7, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18)*-3)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704088666 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3876*p**4 - 16811*p**3 + 10401*p**2 + 15464*p - 60 = 0.\nAnswer: -2\/3, 5\/1292, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1219*i*p**2 - 24*i*p + i + 100*p**3 + p + 17 wrt p?\nAnswer: -2438*i + 600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*o = 2148 - 289 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 87*j**2 - 5*j + 5. Let z(p) = -p**3 + 16*p**2 - 18*p - 135. Let b be z(14). Let a(u) = -131*u**2 + 8*u - 8. Determine b*a(h) + 8*d(h).\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = p - 0*p. Let k be (-2)\/(-5 - (-764)\/152). Let f = p - k. Solve 2*n - 5*s = 10, s + 0 + f = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10434 - -2?\nAnswer: -10432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183.1 + -183.4. What is the smallest value in 1\/10, -0.4, 2, m, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393484 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/(32\/(-64)) + 510. Let c = t - -500. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-4))\/(2\/(-24)). Suppose s = -s + v. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.94 - -1. Let p = -248 + 248.0604. Let z = p - c. What is z rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 11*x**2 + 14*x - 12. Let p be n(12). Suppose -p*g = -11*g - 1200000. Suppose 0 = 11*k - 8*k + g. Round k to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 2*y**2 + 2*y - 1. Let z(r) = -7 - 4*r - 10*r + 5*r - 9*r**2 - 1 - 13*r**3 + 11. Determine 9*u(f) + 2*z(f).\nAnswer: f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/169 in 2, -2, -22, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51643 + -51444.872. Let t = 198 - v. Round t to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 28 = -5*q. Let a(f) = -2*f - 2*f**3 + 4*f**3 + 10 - 4*f**3. Let v be a(q). Solve -5*p + 10 = -v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (359*b - 139*b - 130*b)*(11*b**3 - 222*b**3 - 21*b**3) to the form z*b**3 + s*b**4 + y*b + v*b**2 + l and give s.\nAnswer: -20880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/120 - 173*d**4\/24 - 29929*d**3\/12 - 514*d**2. Suppose m(u) = 0. What is u?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1658 by -1.\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(76\/(-3)))\/(64\/64)*-1\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s - 61*s + 39 + 128*s + 90*s**2 - 90*s**2 - 20*s**3.\nAnswer: -20*s**3 + 2*s + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 663737834 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 19*m + 65. Let p(v) = -5*v**2 - 60*v - 44. Let s be p(-11). Solve 0*o + u - s = 3*o, -3*u + m = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one halves of a millennium?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 511344 - -32233?\nAnswer: 544021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09098049559 + 2728.90947030441. Let m = q - 2729. What is m rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(2\/15)*c**(-5)*c**2)\/((c*c**(3\/8))\/c*c*c\/(c*c**(3\/4)))**(-9) assuming c is positive.\nAnswer: c**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, -36, -3 in ascending order.\nAnswer: -36, -7, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**3 + n**2)*(0 - 2 + 3) + 4*n**3 - 3*n**3 + 0*n**3 + n**2 + 2*n**3 + 3*n**3 - 6*n**3.\nAnswer: n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Let a(v) = -v**3 + 4*v**2 + 4. Let r be a(h). Suppose 20 - r = 2*t. Calculate the least common multiple of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 23 = 0. Let p be (1*12)\/(-3)*-2. Let h = p + 3. What is the remainder when h is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5\/210 - l**4\/42 - l**2\/2 - 3. Let y(a) be the second derivative of r(a). Let y(h) = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = -6*c + c. Let j(y) = -c + 153 + 6*y**2. Let i(z) = 3*z**2. Determine i(j(k)).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = i + 3*i. Put -3, i, -2 in decreasing order.\nAnswer: -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2777 divide 1209261312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3451, 3, -938 in ascending order.\nAnswer: -938, 3, 3451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15167 - 15087 + 7*q + 45508 - 15254.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*s + 26, -2*b + 14 = s - 0*s. Suppose -b*p - 5*z + 90 = 0, 5*z - 14 = -4*p + 3*p. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82850.91 centimeters in millimeters?\nAnswer: 828509.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 3*f**2 - f - 1. Calculate v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9*t = -13*t + 46, -4*u + 3*t = -108. Solve u*o = 31*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 n when four letters picked without replacement from {v: 2, z: 2, q: 2, n: 7, y: 5}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127732659 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -39*j - 4333. Let y be q(-111). Let i(p) be the third derivative of -p**6\/120 - p**5\/20 + p**4\/8 + 2*p**3\/3 + 2*p**2. What is i(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595129235.\nAnswer: 5, 119025847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 23*j**2 - 45*j - 34. Is 29 a factor of o(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/20 and -21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 26\/4)*36. Let u be -3 + n\/(-85) + -1. Let m = u + 156\/595. Which is the nearest to m? (a) -5\/6 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 5)\/(6\/8). Suppose f = 5*u - 4*u. Suppose 4 = u*w - 5*s - 6, 4*s = -5*w + 33. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 503550.\nAnswer: 3524850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/28)\/((-112)\/176792*41)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468050601?\nAnswer: 3, 1061, 147047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3923, 7886, 11837, 15770, 19679, 23558?\n\"Answer: -q**3 + 3970*q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34211 + -22?\nAnswer: 34134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15853863*0.2.\nAnswer: -3170772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 6. Let y(z) = -44*z + 29. Let m be 1\/2 + (-60)\/24. Let x(q) = m*y(q) - 11*s(q). List the prime factors of x(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*z**3 + 338*z**2 - 340*z**2 + 134*z**3 as d*z**2 + k + f*z + s*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 225242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*u*u\/(u**1*u)*u*((u**(-4)\/u)\/u)\/u*u*u**(-2) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67\/4 - -20. Find the common denominator of 3*(-474)\/900 + (-6)\/(-8) and c.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 8*v - v)*(-4*v + v + 2*v) + (-4*v + 2*v + 4*v)*(-v + 4 - 4) + 0 + 0 - v**2 - v + v - 5*v**2 + 4*v**2 - 2*v**2 - 15*v**2.\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -5. Suppose -35 = -y*d - 0. Let f = 369 + -349. What is the remainder when f is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 + 3*p. Let k(i) = 2*i - 8. Let a be k(6). Suppose -3*t - 20 = 4*w, -5*t = a*w - 2*w + 24. List the prime factors of g(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56929 > 57108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*o - 16*o + 19 - 10 - 2*o**2 + 0*o**2 to the form v + r*o + c*o**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v - 49*v = 71. Calculate the remainder when v is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:27 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -89. Suppose -3*h + 8 = h. Let m(r) = -3*r - r - 2*r**h - 12 + 3*r**2 + 3*r. Give m(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40820047\/506 - -1754931\/23. Let x = 4367 + z. Find the common denominator of x and -36\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853411029 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132 at least as big as -1132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**3 + 14*j**3 - 1 - 23*j**3 as a*j**3 + t + d*j**2 + z*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 10*s**2 + 31*s + 12. Give g(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/33808 and 53\/130?\nAnswer: 2197520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*t = 94, -211 = 5*o - 2*t - 303. Calculate the remainder when 1551 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 6*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-585)\/(-460)))\/((-178)\/(-1157))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*p**4 + p**2 + 2475*p - 72710 wrt p?\nAnswer: 24*p**3 + 2*p + 2475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2733 and 297.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-16)\/(-260)*(-15)\/(-6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s + 2. Let p(t) = -8*t - 1. Let q(d) = -6*i(d) - 11*p(d). Let y(h) = -7*h - 1. Let k be (0 + 14\/4)*-2. Give k*y(j) + 6*q(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 51, 3, 5\/4, 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m**3 + 3*m)*(-3*m - 23 - 20 + 39).\nAnswer: -3*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20864 and 6520?\nAnswer: 104320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12534 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17, -930.3, -1\/5, -1, -14, 0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 7. Let v = -8 - -2. Let t be y(v). Is 1 - t - -14 - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 11*g + 12. Let q be k(8). Let o = q + -44. Suppose 3*f + 10 = o*f. Solve -6*j - 12 = -f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 6 - 0. Let s be 8 + -3 - (75 + 2). Let h be (0 - -21)*-4*(-6)\/s. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2420 = 5*k - 5*g, g + 197 = -3*k + 1653. What are the prime factors of k?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 837 divided by -26392\nAnswer: -837\/26392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -5*b - 28, 5*g + 40 = -5*b + 10*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 6102?\nAnswer: 61020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627766903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(99)\/sqrt(9) - (sqrt(11) + 5 + 0)**2)*4.\nAnswer: -136 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 0.026?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a second in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -394878, -789756, -1184632, -1579506?\n\"Answer: c**2 - 394881*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 65a08?\nAnswer: 659ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 4*r**2 - 3*r + 2. Let t be x(2). Let o = -6.4 + 11.4. Which is the nearest to -2\/21? (a) o (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324892*u + 29286 + 10102 = 325913*u - 61691 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94803131 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17959?\nAnswer: 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23325\/2 - -525026\/45. Let a be 1*2 - (-219)\/(-54). Let x = r - a. Find the common denominator of x and -46\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*c**3 + 31*c + 24*c - 53*c in the form h + d*c**3 + r*c**2 + n*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88 + -ecd?\nAnswer: -f55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -103.15. Let m = u + 1.7. What is m rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3\/4 - 645*y**2\/4 - 7650*y - 104625 = 0. What is y?\nAnswer: -155, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 + 24438*v + 465761. Give a(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 2. Let y be (-2)\/1*9\/((-27)\/6). Suppose 0 = 2*r - 4*m - 18, -5*m = y*r - 2*r - 9. Solve -r = s*x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/(-7 + 9) - -458 and 96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2.9, 0.08, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/7 - 49626*h\/7 - 615684969\/7.\nAnswer: -(h + 24813)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70635 and 20145.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 31, 45, 75, 127, 207, 321, 475?\n\"Answer: z**3 - z**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 85.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.1351 millilitres to litres.\nAnswer: 0.0591351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 226?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42136.43ms?\nAnswer: 42136430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -20, -28, -26, -8, 32, 100, 202?\n\"Answer: f**3 - 4*f**2 - 7*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*-0.28.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80073 divided by 123?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1925*g + 13. Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from aaanamknpa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1142*m + 36344 - 16930 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.01*-1.\nAnswer: 4.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = k - 16, 2*k - 4*n - 8 = -2*n. Suppose -5*i + k*i - 98 = 0. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4))**2 + sqrt(10)\/sqrt(500) - (1*sqrt(180))\/(sqrt(50)\/sqrt(5)*5).\nAnswer: -sqrt(2)\/2 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1302.\nAnswer: -130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 574?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -0.2161451503\nAnswer: 0.5161451503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 1.15 (c) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 531*z**2 - 24652*z + 451. Calculate y(-60).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 463813956907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-104)\/4)*-4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*(s**(-7)\/s)\/s*s assuming s is positive.\nAnswer: s**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.7 * -0.142.\nAnswer: 1.3774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 5 - 17*-1. Suppose v - 2 = -4*p + 29, p = -4*v + d. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 854, 1088, 1322, 1556, 1790?\n\"Answer: 234*z + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8960306 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*129*(-8)\/(-96). Solve 4*b - 59 + k = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 31*f + 5. What is v(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*o - 5*o - 56, 3*o = -5*y - 34. Let l be (4\/(-6) + (-3)\/o)*-10. Solve 7*m = l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011110110000001 (base 2) to base 14.\nAnswer: -100b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.322451 + 0.4.\nAnswer: -40.922451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from tjtobozotjttbto?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmsmjym. Give prob of sequence sjmy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**1\/s*s)\/s)**40)**(-25)\/((s*(s**(1\/8)\/s)\/s*s)\/s**0)**(1\/19) assuming s is positive.\nAnswer: s**(-152001\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/19 + 18871\/10887. What is the smallest value in y, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023556 rounded to 5 decimal places?\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 6 = 0. Suppose -k - 26 = -z - c*z, 0 = 3*z - 4*k - 32. Factor 5*f + 5 - 5 + 7*f + 8 - z*f**2 - 12*f**3.\nAnswer: -4*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.1. Let l be -1 + 0 + (-4)\/(-3). Which is the second smallest value? (a) j (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-4)\/(-309))*(-12)\/(-9). Let k = l + -44. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4945 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875756 to the power of 1\/2, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*z + 349*z - 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 18 = 2*a. Suppose -12 = -14*s + 16. Suppose s = -m + a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1007\/7 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -461, -412, -309, -128, 155, 564?\n\"Answer: 4*p**3 + 3*p**2 + 12*p - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-1 + (-18)\/(-18). What is the tens digit of (78 + 2 + r)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787085?\nAnswer: 5, 13, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/3 - 5*b**2\/2 + 2*b - 3. Let h be v(6). Calculate the highest common divisor of h and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, m: 3, i: 2, t: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k*k\/(k*k**(-1\/6)*k)*(k**(2\/7))**2)**(1\/18) assuming k is positive.\nAnswer: k**(-305\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.8 + -31. Let o = -1.762 + 1.962. What is the nearest to o in m, 2\/7, 4, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 - -2 - (-4 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-4)*y**(-1\/8)\/y assuming y is positive.\nAnswer: y**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(2\/21)*w)\/w)\/w**(-2\/17))**(6\/25))**(-9\/2))**(-42) assuming w is positive.\nAnswer: w**(4104\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.378 + -1.01. What is v rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -10000421665030\nAnswer: 10000421665030.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 7*j**2 + 6*j - 4. Let y = -139 - -145. Determine o(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 165*y**3 + 1900*y**2 - 8880*y + 14400.\nAnswer: 5*(y - 12)**2*(y - 5)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*l - 175*l = -308312. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5746178, 11492339, 17238500, 22984661, 28730822, 34476983?\n\"Answer: 5746161*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8977775 - -38407775. Round b to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**8\/53760 + s**7\/20160 - s**6\/1152 + s**5\/320 + 7*s**4\/2 + s. Let c(l) be the third derivative of v(l). Factor c(h).\nAnswer: (h - 1)**2*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 6*o**2 + 8*o + 4. Let u be x(7). Suppose -k - 3*r + r - 9 = 0, k - 3*r = u. List the prime factors of 10\/k*4\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6 (c) -2\/35 (d) 2\/3 (e) -4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 2244.\nAnswer: 112200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/338450849 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62068 (base 10) to base 3.\nAnswer: -10011010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and -2 - -2 - 1*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 41. Suppose -2*w - f + 24 = -6*f, 2*f = -4*w. Let y(l) = 8 + 4*l - 6 + 11*l**2 + r - 12*l**w. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*r - h + 44, -2*h + 22 = -3*r. Let g be (-1*1)\/(r\/32). Suppose 39 - 15 = g*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327996676?\nAnswer: 2, 7, 653, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*b**5*j + 40*b**3*j**2 - 9239*b**2*j + j**2 wrt b.\nAnswer: -12660*b**2*j + 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d + 3*d**2 + 231 - 4*d**2 - 671 + 226 + 220 - 2*d**3 to the form p*d**3 + w*d + v + x*d**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/56 and 21\/22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/81 (c) 1\/3 (d) 6\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 7*k - 5. Let v be n(-7). Let g be (-8)\/v*5\/2. Suppose -g*f + 162 = -1322. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or 867764?\nAnswer: 867764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -5, -4, 24, 4, -337?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffebsmjebsbm. Give prob of picking 2 s and 1 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244*j**4 + 4205*j**3 - 12282758*j + 2 wrt j.\nAnswer: 2928*j**2 + 25230*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -3*s - 350, -q - 5*s + 175 = 0. Let m = -100 + q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -44, 3, -3, -10582, -5, 2 in descending order.\nAnswer: 3, 2, -2, -3, -5, -44, -10582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(132\/72)*4\/312*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 647 + 9430. Let u = 527 - y. What is u rounded to the nearest one hundred?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 38. Solve 5*v - s*v = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001869 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -51 (b) 7 (c) 5 (d) -1 (e) -3\/14 (f) -0.04 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.61 + -0.31. Let h = -5.3 + t. Which is the third smallest value? (a) 5 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1120 divide 40138775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -54224.49087 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1.1. Let h = 1182898 + -20124142\/17. Let c = 875 + h. What is the closest to c in -0.4, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93914 equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19538.\nAnswer: 2, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2521 from -886878.85.\nAnswer: -886878.5979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 33 = 5*t + 3*y, 5*t + 3*y = -31. Let w = 14 + t. Calculate the remainder when 1\/(((-3)\/(-1))\/51) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -4 (c) -0.3 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1029 in -5, -3, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14131571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 249588.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mam when three letters picked without replacement from {b: 1, y: 1, m: 2, q: 2, a: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10522401.\nAnswer: 3, 43, 81569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 825 - 880. Let j(u) = -9*u. Let f be j(7). Let i = q - f. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 + (-102)\/255?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*y = 0. Let j(d) = d**3 + d**2 - 2*d + 1. Let k be j(1). Put k, -1, y in descending order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2745 = 5*g - 10*z, -1661 = -3*g - 4*z. Calculate the greatest common factor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.3871 minus 3.26?\nAnswer: -243.6471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121377, -121352, -121327?\n\"Answer: 25*b - 121402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 15. Let a = -21.64 - -17.64. Let b = 8 - 7. Sort a, b, 0, z.\nAnswer: z, a, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfvvffhvvfv. What is prob of sequence vhvf?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7208038 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/11))\/j*j**(-2))\/(j\/((j*j\/(j*j**0))\/j))**(-2\/9)*(j\/(j*j\/(((j**9\/j*j)\/j)\/j)))\/j**(-3\/2)*j**(1\/2)\/j**9 assuming j is positive.\nAnswer: j**(-293\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, 12 in descending order.\nAnswer: 20, 12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j)**(-18)\/((j**4*j)\/j**(-10\/7)) assuming j is positive.\nAnswer: j**(333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 + 3*h + 5. Suppose 2*a + 293 = -2*c - 3, 3*a + 738 = -5*c. Let v = c + 142. Let r(t) = -5*t**2 + 2*t + 4. Calculate v*r(u) + 4*x(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 4 + 4)*(2*r + 4*r - 4*r) + 0*r**3 + 0*r**3 + 2*r**3 + (-r + 2*r + 0*r)*(0*r + 2*r + 2*r)*(16*r - 32*r - 62*r).\nAnswer: -314*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/7 and 53\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q - 3*q - 4*q**2 - 4*q.\nAnswer: -4*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 15. Let i(g) = 5*g + g + 8*g + g**3 - 8 - 3 - 6*g**2. Let q be i(m). What is the highest common divisor of 374 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139168 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 4.1, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.3 - 14. Let p = -9.3 + t. Let r = 12.3 + p. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 241, -29, -471, -3 in decreasing order.\nAnswer: 241, 4, -3, -29, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*l + 1557089 - 642999. List the prime factors of l.\nAnswer: 2, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -55?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -46. Let l = 51 - r. Suppose -2*q + q = 5*n + 5, l*n + 2 = 2*q. Solve 0 = -j + 1 - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 13. What is the nearest to 0.3 in 0.4, s, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(2\/9)*q**(4\/13)\/(q*(q**(2\/5)\/q)\/q) assuming q is positive.\nAnswer: q**(307\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5 + 11. Differentiate 23*j**3 - 1 - 23*j**3 + 9*j**c with respect to j.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -0.0986.\nAnswer: -1.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6484 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 13248872?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*(-4)\/10*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -288\/17 + 5980\/357. Let i = q + -1\/7. Which is the biggest value? (a) -3 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6095?\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -41. Suppose 28*n = 37*n - 72. Calculate the highest common factor of s and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let u = 4.3 - 4. Let h = -0.1 + 0.5. Sort y, h, u.\nAnswer: u, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13760655, -13760623, -13760569, -13760493, -13760395, -13760275?\n\"Answer: 11*h**2 - h - 13760665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 375811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - -5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16*a + 1669 - 10657 = 0. What is the smallest common multiple of 2140 and a?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7050 or 49340\/7?\nAnswer: 49340\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 244, 248, 252, 256, 260?\n\"Answer: 4*g + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -19716.\nAnswer: -19713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4\/11, -1\/2, 20213 in ascending order.\nAnswer: -11, -1\/2, 4\/11, 20213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 28 + 100 = 0. Solve 0*b = 2*r - y*b + 16, -20 = 2*r - 5*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 3 = -2*i - 2034*v + 2037*v, 1 = 2*i + 5*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33.20046 times 0.3\nAnswer: 9.960138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -55. Calculate the remainder when (-4 - -23) + (-1 - 1) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let t be q - ((3 - 3) + -1). Find the second derivative of -6*n + 6*n + 10*n**t + 4*n wrt n.\nAnswer: 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(1260)*-2)\/sqrt(7))**2 + -5.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1417024?\nAnswer: -1417023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1768.24339 and 167461?\nAnswer: 165692.75661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449666 (base 12) in base 13?\nAnswer: acb55b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74116, 80196, 86274, 92350?\nAnswer: 98424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 5. Let u(k) = -k**2 + k - 6. Let x be u(0). Let z be -3 - -16 - (-2)\/3*-3. Let m(w) = -4*w - z - 4 + 26 - 8. What is x*c(a) - 10*m(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:33 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 - 2127*f**3 - 8472*f**2 - 8460*f = 0 for f.\nAnswer: -705, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 41*y**2 + y. Let o(b) = -b**2. What is o(s(r))?\nAnswer: -1681*r**4 - 82*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 - i + 1. Let a be n(1). Suppose 5*g - 3*g + 4*d + a = 0, -d = -g + 11. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1972 - 407. Suppose 28*p - n = 171. Let x = -66 - -129. Is x < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -0.2. Round v to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -396, -607, -816, -1023, -1228, -1431?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.37 + 338.63. Let z = 347 - m. What is the smallest value in z, 79, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 17 = -3*g, -g - 2*q = -0 - 6. Let r(b) = -b**2 - 2*b + 4. Give r(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 3 + 4)*(2 + l**2 - 2) - 2*l**2 - 4*l**2 + 3*l**2)*(1 + 1 - 1)*(-63*l + 61*l + 10*l + 41*l**2) to h + r*l + a*l**2 + d*l**3 + f*l**4 and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -195 * 205.\nAnswer: -39975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 3*f - 11 = 0, 2*f - 14 = -d. Suppose -r = -5*b + 25, -4*r + 6*r + 26 = d*b. Which is greater: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -109*u - 5342. Give i(-44).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**2\/2 + 2. Let k(b) be the third derivative of -b**4\/4 - 16*b**2. Give k(r(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 209566464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477522066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 10*l**2 + l - 14. Let p be s(10). What are the prime factors of p\/(-8) + 98\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.0468.\nAnswer: 0.3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i - 15 - 25*i + 18 to o*i + q and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + 1)) + (-5 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 21, -2, 5 in decreasing order.\nAnswer: 21, 5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + b**2 + b + 1. Let t(g) = 19*g**3 + 5*g**2 + 78*g - 1530. Let w(n) = 5*m(n) - t(n). What is the first derivative of w(y) wrt y?\nAnswer: -27*y**2 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/18 - 7*j**5\/12 + 55*j**4\/36 - 25*j**3\/18 + 29*j. Factor p(v).\nAnswer: 5*v*(v - 5)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/3 (b) -3.9 (c) -192457 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 5, m: 1, s: 6, u: 2}. Give prob of sequence uus.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.1 - -1.1. Suppose -k - 4*p = -12, -4*k - 6*p = -2*p - 60. Let j be (-2)\/4 + 8\/k. What is the closest to 1 in j, h, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -12 - (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 15.1. Let z = g + -2. Let p = z + 5. Which is the second biggest value? (a) p (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3) + 12 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - (-16)\/10. Let p be 27 - (-7 + 0\/(-2)). Suppose -p*v + 83 = -53. Sort 1, 5, v, k in descending order.\nAnswer: 5, v, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 575 = 4*i. Let w be (-2)\/(180\/i) - (-6)\/(-4). Let x = 127\/363 + -2\/121. Which is the closest to -1? (a) 3 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379644280*f**3 + 437220898*f wrt f?\nAnswer: 2277865680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 30*u + 2*u = 128 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -48. Find the second derivative of -f**o + 0*f + 14 - 14 + f wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71733228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2824*n**5 - n**2 + 23*n + 24?\nAnswer: 169440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2230384 + 614749 = -223*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -56288 (b) 0.1 (c) -1 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2. Let m(l) = 0*l**2 - 4*l**2 - 7*l**2 - l**2. Give m(y(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.047 (b) -19\/223 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101010 - -101?\nAnswer: 1010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*v - 4*a, -5*v - 19 + 13 = -4*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*c - 473*c = -24340. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3 - 72084238*v**2 + v - 63231957.\nAnswer: 6*v - 144168476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) + (sqrt(325) - (-1 + sqrt(325))**2)))*3 - (-6*(sqrt(325) + 0) - sqrt(325))) + -3*(-5 + -2 + sqrt(325)).\nAnswer: -25*sqrt(13) + 999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -261\/5, -0.2?\nAnswer: -261\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -24 (b) 19 (c) -5 (d) 1\/17 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, 28, -33, 9 in ascending order.\nAnswer: -33, -1, 0, 1, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1, -2\/9, 2, 1480.1?\nAnswer: 1480.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eih when three letters picked without replacement from igeikhsk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s + 5*v = -105, 4*v + 68 = 3*s. Let u = -8 + 10. Suppose 74 = q + 2*h + 16, -u*h - 262 = -4*q. Calculate the highest common divisor of q and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 - 33*x + 3. Let h be o(-9). Which is smaller: h or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/48 and -41\/212.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37971066 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-14))\/((-85)\/(-34)*(-672)\/13720)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414bb7 (base 14) to base 9.\nAnswer: -4126853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 592 + -200. Let t = g - 396. Which is the smallest value? (a) 0.3 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -198 + 198 + 15*v**2 - 37*v**2 + 26*v**2. Let f(m) = m**2 - m + 1. Let x(g) = -205*g**2 + 123*g - 123. Let p(o) = 123*f(o) + x(o). Calculate p(z(h)).\nAnswer: -1312*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 66. Let i be q(30). Suppose -57*p = -56*p - i. Differentiate 42 - 24*c + 40*c - p*c wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w - 6. Let a be s(-6). Let p(m) = -3*m + a*m - 9 + 2*m + 2*m. Let i be p(14). Solve 0 = -5*b + i*j, b + 5*j = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 4. Suppose 42 - 6 = -9*g. Let z(y) = y + 1. Determine g*z(r) - t(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7920 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276\/15 + (-15)\/(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117171744 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 3*y**2 + 2*y - 3. Let m(h) = -3*h**3 - 4*h**2 + 3*h - 4. Let c(s) = 2*f(s) - 3*m(s). Calculate c(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142195477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((258776 - -2) + 2)*4\/10. Suppose 41*l + 16*l = n. List the prime factors of l.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1114170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -92, -119, -128, -113?\n\"Answer: p**3 - 46*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32\/105 + -2\/21. Which is the biggest value? (a) -2\/3 (b) m (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35565267.\nAnswer: 3, 1933, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k**4 - 25*k. Let a(p) = -29*p**4 - 50*p. Let d be (1 + -3)*(-33)\/(-22). Let s(c) = d*a(c) + 7*x(c). What is the second derivative of s(t) wrt t?\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmofffmoffrrofmfmma. What is prob of picking 1 f and 2 m?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 499830 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3000)\/(-7))\/(3\/(-126)). What is v rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 1, g: 1, a: 3, l: 2}. What is prob of picking 1 l and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 187.\nAnswer: -3\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136 - 45482*l + 45484*l + 167 to the form i + s*l and give i.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1116, 9822, 33458, 79488, 155376, 268586?\nAnswer: 426582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 0.03 (c) -2.2 (d) -0.19 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.7832mg in kilograms?\nAnswer: 0.0006167832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let p(x) = -12*x - 12*x + x - 9*x. Give p(y(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 142460.5 from -33917.7.\nAnswer: -176378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/5 + 38*n**3\/5 + 126*n**2\/5 + 18*n = 0.\nAnswer: -15, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/399)\/(15\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861108 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31358\/39 - -804. Is 0 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 e when four letters picked without replacement from {r: 12, e: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h. Suppose h = 5*z + 4*a - 83, -4*a - a + 61 = 4*z. Let j = z + -12. Let l(d) = -d**3 + 6*d**2 + 9*d - 9. Determine l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifdinanxafaifnd. Give prob of picking 2 d, 1 i, and 1 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/2))**(-2\/51)*(d*d*d**(-2\/7))\/d*(d*d\/(d\/(d*d**(-10)*d*d*d)))\/d)**3 assuming d is positive.\nAnswer: d**(-1866\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 6*s + 0 + 0*s**2 + 5\/2*s**3. Calculate j(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 264?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176380520.\nAnswer: 2, 5, 4409513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x - 15. Let d be 3\/(-3) + 3*2. Suppose 6*w + 7 = d*w. What are the prime factors of p(w)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-50) - 688\/(-8600). Solve -2*t + 29 = i*c + 3*c, 4*c - t - 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*v + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/51, 1\/2, -0.6, -2\/7.\nAnswer: -0.6, -2\/7, 4\/51, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/24 - 5*s**2. Let o(m) = -1. Let y(q) = 2*q + 2. Let t(j) = 4*o(j) + 2*y(j). Calculate g(t(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h + 20. Suppose -p + h = -6. Let j = -7 + p. Solve -2*t + j*a = -3 - 3, -a = 4*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2 + (1 - 1)) - 3. Let t be ((-21)\/9*v)\/1. Find the third derivative of -2*h**3 - 4*h**3 + 27*h**2 - t*h**3 wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) + (-582)\/52. Let y = c - -1706\/117. What is the common denominator of y and -61\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*m + 14*k*z - 726*m + z with respect to k.\nAnswer: -m + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**2. Let t(g) = -3 + 0 + 2 + 0. Let k(u) = -u - 6. Let i(x) = k(x) - 6*t(x). Calculate i(l(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169930 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 8\/11, 12, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/18) - (-49 + 54). Which is the nearest to -80? (a) -1\/3 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + x**3 + 4)*(4*x**2 - 6*x**2 + 3*x**2) + (-x - 2*x - 11*x + (4 - 1 + 2)*(-2*x + 0 + 0))*(x**4 + 12*x**3 - 12*x**3).\nAnswer: -23*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49030)\/(-8)*(-3)\/15. Let a = y + 1205. Find the common denominator of a and -109\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.94, -5, 1, 2\/9 in descending order.\nAnswer: 1, 0.94, 2\/9, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 7. Give v(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 12. Let t(p) = p + 1. Let s(z) = -14*z + 1. Let b(g) = h*s(g) - 2*t(g). What is the tens digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216508975 and 1325?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9750283 is divided by 1117?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1829 - 1629. Suppose -3*k = 5*p + 360, -5*p - 235 = 5*k + 365. Let z = k + i. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -1. What is the derivative of 2*c**2 - 2*c**o + 2 - 1 - 3*c**3 wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 11*v**2 - 12*v + 4. Let c = -88 + 50. Let u = c - -26. Let w be b(u). Solve 5*s + 4*z = -12, -3*s = -0*z + w*z + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 35*a**2 - 54*a + 74. Determine y(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19712*m**5 + 12*m**4 - 2*m**3 - 9880*m**2 + 26*m - 1 wrt m?\nAnswer: -1182720*m**2 + 288*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -629, 112, 809, 1456, 2047, 2576?\n\"Answer: -s**3 - 16*s**2 + 796*s - 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**2\/2 + 44401700*r - 197151096289000 = 0?\nAnswer: 8880340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 85*h. Let z(n) be the second derivative of 1\/3*n**3 - 26 + 3*n + 0*n**2. Calculate z(l(b)).\nAnswer: 170*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 8*l**2 - 14*l + 35. What is the remainder when 958 is divided by v(5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 38*d + 664. Is l(-42) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.51. Which is the second smallest value? (a) -0.02 (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 38 - 30. Solve -66 + 58 = r*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(24\/10)*(-1)\/((-31)\/(-744)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, -19, -48, -89, -142?\n\"Answer: -6*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/((-15)\/(-160)). Which is the third smallest value? (a) v (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 45*r + 0 + 1 + 52*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -3*i**2\/2 + i + 35. Calculate u(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.001 + -0.018. Let d = z + 2.017. Which is the smallest value? (a) 0.2 (b) 2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/174 (c) -1151 (d) 150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -512*i + 511*i + 588. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9660*n + 9723*n + 4825*n.\nAnswer: 24208*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 2*i + 6. Let h be c(-7). Let j(o) = -4*o**2 - o. Let g be j(2). Let f = g - h. What is the greatest common factor of f and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -235, 0.04, 23\/18?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*m + 2 = 0, -3*l + 7 = 2*l + 2*m. Suppose -2*g = -g + d - 9, -g = -3*d - l. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let p(m) = -731*m. Calculate p(y(a)).\nAnswer: -731*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 5*p**2 + 4*p - 1. Let d be q(4). Let n(l) = l - 3. Let m(z) = 1. What is d*n(t) - 5*m(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 - (3 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/((m\/(m\/m**(-1)))\/m)))*(m**(-5)*m)\/m)**13*(m*(m\/(m*m*m**(1\/4)))\/m)**5*(m*m**(-1))\/m*m\/(m*m**(1\/12)) assuming m is positive.\nAnswer: m**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x\/(x\/(x*x*x**(5\/2)\/x)))\/x))\/x)\/x*x**1)**(-1\/3)*x*x**(-1\/4)*x\/(x\/(x**0\/x))*(x*x**3)\/(x**(2\/21)*x*x) assuming x is positive.\nAnswer: x**(181\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*r**4 - 28001*r**3 - 3967353*r**2?\nAnswer: -1032*r - 168006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(48\/328)*-3)\/(1\/3*3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 159 = -i, -5*i = -2*l + 126 + 37. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997 = 225*d - 1928 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -494 - -520. Let d be (32 - n) + -2*222\/75. Which is the biggest value? (a) -2\/3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2636777\/295716 - -2\/24643. Find the common denominator of 16\/57 and u.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 72 - 218 + a**2 + 72 - 2*a + 75. Suppose h + 0 = -3. Let f = h + 6. Determine o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + 400\/(-75). Let o(w) = -w + 1. Let d(s) = -6*s**3 - s**2 - s + 1. Let n be d(1). Let t(u) = u - 1. Determine c*o(h) + n*t(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -79. Let y be -4*(-5 - 95\/q). Does 16 divide (-4 + 49)*(y - (-9)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102223.\nAnswer: 3, 23, 30467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j - 3*j)*((-2 - 3 + 3)*(-4 - 2 + 4) - 6 + 4 + 4 + 4 + 1 - 3 + (1 - 3 + 0)*(-4 - 16 - 7)).\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Suppose 0 = -3*p - 15, -c*x + 2*p + 14 + 16 = 0. What is the first derivative of -1 - x + 2*f**2 + 4 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -170*c - 704. Let x(h) = 192*h + 705. Let o(u) = -2*s(u) - 3*x(u). What is the first derivative of o(n) wrt n?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = n - 2*i, 2*n = n - 3*i - 11. Suppose 4*v - 7*v = 0. Solve 2 = -2*r - 3*f - f, r - n*f + 1 = v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 take away 0.3727?\nAnswer: -75.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*r = -3*t + 35, -t + 7 = 5*r. Let g(k) = k**3 - 8*k**2 + 5*k + 9. Give g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 < 339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 - 34 = 3*t. Is 12 a factor of t*(300\/(-18))\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:11 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27533739 + 0.05177.\nAnswer: 0.32710739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18097 + -9?\nAnswer: 1808a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a week?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8657*u**3 + 3*u**2 - 4*u - 1. Is y(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19687157.5 less than 1654.7?\nAnswer: -19685502.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12334122223?\nAnswer: -12334122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 205 = -245. Let u be (-445)\/15 + h\/(-15). Let p be (-58)\/u + (-1)\/((-1)\/27). What is the highest common divisor of p and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 128. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 767566515 - 767566573.00000046. Let a = -69.9 + 11.9. Let m = x - a. What is m rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (43 + 936\/(-13)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15676, -31323, -46946, -62545, -78120, -93671, -109198?\n\"Answer: 12*q**2 - 15683*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5707128 by 248136.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -2, 1\/5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 287\/(-410)*(5 - 5*(-2)\/(-8)) and (-2)\/(-72)*(-186)\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-9)*(-714)\/833?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + 7 - -7 - 1*3. Let x(a) = 12*a - 7. Let f(d) = 5*d - 4. Let i(m) = g*x(m) - 5*f(m). Let j(h) = h. Determine i(l) - 4*j(l).\nAnswer: 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/120 - 13*y**5\/60 + y**4\/8 - 4*y**3 + 397*y**2. Calculate k(-13).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/16 and -79\/106034.\nAnswer: 848272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -889 - -1248. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12059*3\/(1*-60). Let r = c + 606. Calculate the common denominator of r and 4\/(-6) + (-139)\/48.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/28 + (-6)\/(-21). Suppose -2*b + 833 = c*m, 3*b = -2*b - 2*m + 2088. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/130392 and 121\/4074750.\nAnswer: 16299000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7 and -80\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k - 142. Calculate i(-54).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 29, 34 in descending order.\nAnswer: 34, 29, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 549*s - 5*s**2 + 9*s**2 - 6*s**2 + 17*s.\nAnswer: 2*s**2 + 566*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 96*n**2\/5 - 918*n\/5 + 5336\/5.\nAnswer: -2*(n - 4)*(n + 23)*(n + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 1 j when three letters picked without replacement from {f: 3, j: 3, n: 2, r: 1, h: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 17*w - 576 = -66*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 - 2492b?\nAnswer: -24895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 17*f**3 + 0*f + 0*f - 16 + 15*f**3 to u + n*f + s*f**2 + j*f**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4*p - 3. Suppose 5*j = 4*j - 5. What is a(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - (-3)\/(-6). Suppose -c = 4*d + c, z = 3*c. Suppose d = 4*w + l - 3*l - 20, -2*w - 4*l = 0. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318792 and 39960.\nAnswer: 14345640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 376945, 376943, 376941, 376939, 376937, 376935?\nAnswer: 376933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 289. Calculate f(30).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.1. Let p = t + 1.1. Let r = -37 - -37.2. What is the closest to p in r, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22877 = 713*d - 50586 - 43591 for d.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(6\/3 - 3). Let b be (9\/m)\/((-18)\/240). Suppose 3*k + 4*f = b, 7*f - 9 = k + 2*f. Solve d + k + 9 = -4*z, -17 = 4*z - d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 105*v**3 - 5*v + 4. What is y(1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473 + -14?\nAnswer: 5459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(10) + sqrt(60)\/(sqrt(18)\/sqrt(3)) - sqrt(10))*-6)\/((4*sqrt(240)\/sqrt(5))\/(sqrt(486)*-2 - sqrt(486))).\nAnswer: 81*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/5538?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -1365628?\nAnswer: -1365628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 1489 + 1121. Let v = 2283 + -1552. Let p = v + i. Calculate the highest common divisor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -259, -260, -261?\n\"Answer: -r - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = 0. Suppose -r - 1 + 2 = o, -3*r = 4*t - 31. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgzczcgcdg. What is prob of sequence gcz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -5*c**4\/4 - 2*c**3\/3 + 2*c + 431. Let z(h) = -h**2 + 1. Give u(d) - 2*z(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 263 or 2360\/9?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -458?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 979998241.\nAnswer: -979998235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -48. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -4*s. Let c(v) be the second derivative of -5*v**3\/3 - v**2 - v. Let u be c(-2). Solve -2*l - q = -3 - 0, s*l = 2*q + u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2816*l - 171733. What is z(-61)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13554234 - 1?\nAnswer: -13554235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 18*c**3 - c**4 - 3*c + 2*c**4 - 18*c**3 in the form j*c**4 + d + h*c**2 + q*c + n*c**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/5 - 13344192*q\/5 + 44516865033216\/5 = 0. What is q?\nAnswer: 6672096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/14, -0.1, 0.4, 15, -5 in decreasing order.\nAnswer: 15, 0.4, 3\/14, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42212\/55 + 8526\/11. Determine j so that 8 + l*j - 2\/5*j**2 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.1 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -61 (b) -1\/10 (c) -1 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 822335975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1587)\/(-92)*16\/6. What is the highest common divisor of 621 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135116*a**4 - 9*a**2 + 2*a - 10679.\nAnswer: 3242784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 18*x - 8 + (0*x + x + 0*x)*(3 + 2 - 2))*(-40*x**2 - 56*x**2 + 34*x**2).\nAnswer: 930*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*c = 329*c + 350. Let b be 23 - (-7)\/c*35. Let q(l) = 17*l**3 + l**2 - 2*l + 1. Let j be q(1). Solve -5*i - j = -3*s, 4*i - s - 2*s + b = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638396105.\nAnswer: 5, 527679221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20782765, 20782766, 20782767, 20782768, 20782769, 20782770?\n\"Answer: q + 20782764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 6*w**2 - 2*w**2 + (20 + w - 5*w + 3*w)*(-51*w - 27*w + 33*w) to f + o*w**2 + t*w and give t.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34953.\nAnswer: 3, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyxyyyyxyyyxyyyyyx. What is prob of picking 4 x?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -541+356\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 13 (c) 1 (d) 29 (e) 0.03 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1\/11*n**3 + 2021\/11*n - 1011\/11 - 1009\/11*n**2 = 0.\nAnswer: -1011, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 9335?\nAnswer: 9335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + q - 32 = -3, -c + q + 1 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*j - 344*j - 84 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 + 0.96. Let j = -2517 - -2522. Which is the closest to 0.5? (a) z (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240097*l + 108*l**2 - 240097*l + 110*l**2.\nAnswer: 218*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 251, 412, 627, 890, 1195?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1047185 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2797 = 5*p - 3*m + 2801, 5*m = 3*p + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 118*y - 1879. Give i(100).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -4*b - 4\/3*b**3 + 3\/2*b**2 + 2 - 1\/4*b**4. Calculate o(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145026979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2401)\/(5\/(-5)) - (8 + (5 - 18)) is divided by 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(((-1*sqrt(242) + -5)*4)**2 - (((sqrt(128) - -1*sqrt(128))\/sqrt(4))**2 + 4)).\nAnswer: -74520 - 31680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 1. Let y(j) = -8*j**2 + 15*j - 4 + 0 + 7*j**2. Let n be y(15). Sort 2\/3, l, n in descending order.\nAnswer: 2\/3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317138.\nAnswer: 2, 3, 219523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 79*w**2 + 2*w + 3. Let f be y(-1). Let s = -71 + f. Suppose -5*u + 45 = 15. Solve 3*p - u*p + s = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -54 + -13 - 16\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - v - 2*v + 1 - 1 - v + (3 + 0 - 1)*(-5*v + 5*v - 2*v) to u*v + g and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 4. Suppose 7*p - 2*p = 5. Let z(r) = 0 + 0 + 5*r - p. Let h be z(1). Let m(a) = 2*a + 3. Calculate h*m(y) - 3*n(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -382, -383, -384, -385?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 15, 17, 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 30. Suppose 9*v - x*v + 6 = 0. Suppose p = -4*j + 49, v*j - 24 - 29 = -4*p. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7.8. Let o be (0 + 9\/(-42))\/(60\/(-70)). What is the fourth smallest value in 1\/8, o, j, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 3*m**2 + 4. Let q be k(-3). Suppose 0 = -q*n - 0*n + 8. Suppose 75 = j + n*j. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/3 + 29*a**4 - 1546*a**3\/3 - 544*a**2 = 0.\nAnswer: -102, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2672*y - 56033. Determine u(21).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**3 + 48*s**2 - s**3 + 30 - 45*s**2 - 5 + 56*s**4 + 58 wrt s.\nAnswer: 1344*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586355331 a multiple of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20933 less than 3271347676?\nAnswer: 3271368609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147 - (99 - 232)) + (-11 - (-1 - -2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263673 is divided by 43940?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.8 and 331388.54?\nAnswer: 331385.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -7*h**4\/12 + h**3\/6 - 9*h**2 + 703*h. Let r(b) = 11*b**2 - 2*b + 27. Determine -5*r(t) - 8*y(t).\nAnswer: t**2 + 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33394?\nAnswer: 2, 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 11 - 41. Solve -p*i = 4 + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275)\/528)\/((-2310)\/(-1232)).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 0) + 2 + 32 + 48 + -66?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -29*i - 282. What is the remainder when 110 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*o - 19, -1 - 1 = -3*b + 2*o. Solve -x + 16 = -5*f - 5, 4*x + b = -2*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*p - 41 + 7, p = -5*h + 32. Let a be 2*2*-1*-2. What is the derivative of -a*t - 1 + h - 1 wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18524995 + 5044995. Round x to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuif when four letters picked without replacement from {x: 1, u: 1, f: 1, i: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33329, 1, 5 in ascending order.\nAnswer: -2, 1, 5, 33329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17702, -17718, -17734?\n\"Answer: -16*f - 17686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5171274016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83 (base 11) to base 16.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 17*z + 1. Let y(p) = 6*p**2 + 85*p - 6. What is -11*a(f) - 2*y(f)?\nAnswer: -f**2 + 17*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 10*a + 7. Let j be p(10). Suppose 0 = j*c + 3*c. Solve 4*o + c - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let u be t(0). Let y = u - -6. Factor -3*s - 3*s**3 - 5*s**2 + 4 + 2*s + y*s.\nAnswer: -(s - 1)*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = c + 4*i, -4 = -4*c - 4*i. Suppose -7*n + 2*n + 20 = 0. Suppose 4*d - 2*s = 2*s + 64, s + 92 = 5*d. Solve 5*b = -m + d, c*m - 4 = n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -42. Let y be u\/(-2 + 4 - 4). Let a be (-3)\/((-1)\/(-1 + 25)). Calculate the highest common factor of a and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5746 is divided by 1136.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*t + 5 = -23, -t = 2*h - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + h**2 + 22*h**3 + 2*h**2.\nAnswer: 22*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*a - 16 = 0, 56*a + 2273 = 721*u + 51*a - 2058 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.041, 4 in decreasing order.\nAnswer: 4, 0.3, -0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/8 + 2*r**3\/3 - 34*r**2. Let k(g) = g**3 - 4*g**2 + 3. Let d be k(4). Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - (8 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 24*k = 3*n - 7, 3*k = -3*n + 15. Let f = 5 - 3. Suppose f*u = -0*u + 94. What is the remainder when u is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1221 + 3*y**3 + 1256 - 4*y**3 in the form m + i*y**2 + g*y**3 + v*y and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1397 + 5587\/4. Let j be -2 - (-2 + 3\/4). Sort -1, f, 28, j in decreasing order.\nAnswer: 28, f, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -25 - 5. Let o be (-50)\/(-4) + (-3)\/w. Let h be (-482)\/(-5) - 26\/65. Calculate the greatest common divisor of h and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350944?\nAnswer: 2, 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + -3*sqrt(6)\/sqrt(3) + 0)**2.\nAnswer: -54*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 6*q - 20. Determine y(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 17 - 0) + (15 - 12) - 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 975*f**3 - 5*f**2 + 26*f - 27. What is z(1)?\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81092 less than or equal to 81108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 52110 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33719002.\nAnswer: 2, 449, 37549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215 divided by 6?\nAnswer: 2405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21950410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 6*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 3, r: 1, x: 1}. What is prob of sequence rx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 9*i**2 + 15*i + 10. What are the prime factors of m(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -32*w - 496. Let k(j) = -13*j - 198. Give -12*k(c) + 5*m(c).\nAnswer: -4*c - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k. Let n be t(4). Suppose -10 = -f - 0*b + 4*b, 0 = -3*f - 3*b + n. Solve -3*w = -w + 4*j + 4, 4*w = 2*j - f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.03. Let f = s + -0.03. What is the closest to 2\/7 in -1\/10, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + 3*2*sqrt(1872)*6*5))**2.\nAnswer: 4320*sqrt(13) + 60652801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/(8 - 952\/120). Suppose 22*j - y*j = 7. Calculate the highest common factor of 27 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -10. Let u be (102\/(-33) + z)*-2. What is the closest to 1 in -3, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-9\/11) assuming z is positive.\nAnswer: z**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfb when three letters picked without replacement from fbcfgdyygbbfbfyffg?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 13. Let l be c(10). Let a = 0 + -2. Let p be (-9 + l)\/(a\/2). Solve -2*f - 3*b - 1 = p*b, -4 = -4*f - 4*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - s + 1. Let d be q(2). Let t be (-21)\/2 - (d\/2 - 3). Let y = 11 + t. Put 3, y, -3, -14 in decreasing order.\nAnswer: 3, y, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 945 = -29*b - f + 1451 - 449, -2*f = -8 for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 184 = -2*i + 348, 3*o = -5*i + 529. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*i*o**3 + 102*i*o - 42702*o**3 - 37*o + 301 wrt o.\nAnswer: 102*i*o - 256212*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/108 + -2*35\/(-12). Let n(z) = 17*z - 14. Let u(w) = -11*w + 9. Let y(d) = -5*n(d) - 8*u(d). What is y(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 114 and 14462?\nAnswer: 1648668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -752 and 0.02.\nAnswer: -15.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 27*i**3 + 11*i**2 + 13*i + 13. Let u(m) = -13*m**3 - 5*m**2 - 6*m - 6. Let c be 1\/2*0\/(-9 + 8). Suppose c = 17*v - 13*v - 52. Give v*u(b) + 6*n(b).\nAnswer: -7*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 - 3718*m - 41 - 27*m**3 + 24*m**3 - 11 + 3717*m as k*m + p + d*m**3 + n*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574338*n**2 - 574338*n**2 - 45*n**3.\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 21*y**2 - 4*y - 21.\nAnswer: (y - 1)*(y + 1)*(4*y + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 19 - 19)*(1 + 0 + 0)*(-16 + 10 + 6 + 24*q**2)*(-708 + 708 + 13*q).\nAnswer: -936*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106504 (base 8) to base 4.\nAnswer: 20311010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -116. Let s = 36 - o. List the prime factors of (-29946)\/69*((-1)\/2 - s).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5183188632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 34790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 432711509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - 4) - 1152\/72?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r + 28*r + 19*r - 1800 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 15. Let d(h) be the third derivative of 5\/6*h**l + 0 - h**2 + 1\/24*h**4 + 0*h. What is d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -17937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/5 (b) 0.055 (c) 0.3 (d) -345 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4901*m**6 - 3759*m**2 wrt m.\nAnswer: -588120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 239*d**3 + 36*d**2 + 3*d - 4136. Let n(t) = 143*t**3 + 21*t**2 + 2*t - 2482. Let j(o) = 8*m(o) - 13*n(o). What is the derivative of j(q) wrt q?\nAnswer: 159*q**2 + 30*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 359 - -45. Let q = -405 + z. Is q at most as big as -3\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 187, 468, 875, 1408, 2067?\nAnswer: 2852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 0.0208?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*g - 4. Suppose -6 = g*x, -t + 5 - 3 = x. What is the least common multiple of t and 3*20\/(-6)*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*s**2 + 6740 - 6740 + (-1 + 2*s + 1)*(s - 2*s - s) + 2*s**2 - 5*s**2 + 2*s**2 - s - 2*s**2 + s)*(0*s + 0*s - s).\nAnswer: 71*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272345620315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (630\/(-28) + 29)*-2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n + 3. Let k(o) = o + 1. Let w(y) = 5*k(y) - 2*x(y). Let p be w(-12). Suppose 0 = z - p - 4. What is the greatest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 11 (c) -0.38 (d) -0.463 (e) 9 (f) -0.4 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935283397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3891\/(-2594))\/((-1)\/(-38))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008854846 to 6 decimal places.\nAnswer: 0.000885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 178 = 17*x + 45, 0 = -2*x + 2*h - 22 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let m be 2 - (21\/15 - -1). What is the closest to m in 0.5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18521806 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1753102908820 + -0.3.\nAnswer: 1753102908819.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98)\/21*246\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5440\/(-1275)*6\/4)\/((-30)\/75).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.984554 and -0.1.\nAnswer: -0.0984554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = -5*n + 3670, -732 = -n - b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9760 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 759 + -893 - (-27 + (4 - 1) - 1)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 2. Let n be l(2). Let x = -6 + 8. Suppose -5 = 3*f - x. Is n smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**4\/6 + 94*n**2. Let c(o) = -9*o**2 + 1. Give y(c(u)).\nAnswer: 36*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 0*i**2 - 2*i**2 - 37*i + 647 - 651. Suppose -5*y + 63 + 72 = 0. Calculate the remainder when y is divided by g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93388182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:31 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 34137 = 19*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -j + 6*j. Let y = 7 + j. List the prime factors of (3 - (y + -1)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.11 (b) 1 (c) -561023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188417 is divided by 188413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-39)\/(-15) + 792\/55. Solve -r*d = 24 + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 0.04, -0.26, -1, 4\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -369, -555, -741?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/7*22\/4. Let c(a) = 2*a**2 + a + 2. Let j be c(-1). Suppose p - 27 = 5*t + 3, 5*t + 25 = 0. Sort p, h, j in ascending order.\nAnswer: j, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46153156 divided by -7\nAnswer: 6593308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**6\/120 - d**4\/12 - 33*d**2\/2 - 38*d. Let u(h) be the first derivative of i(h). What is u(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -36. Let v = 15 - d. Find the third derivative of 11*k**5 - 2*k**4 - 3*k**5 - 13*k**2 + 2*k**v wrt k.\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*1 - (sqrt(153) + sqrt(153)*-2)*-6)\/(sqrt(81)*1*5).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -18.991. Let a = y - -0.291. What is the biggest value in -6, a, 0.1, 1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5 = o, 3*m - 5 = -38*o + 42*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 26*n - 301. Let z(s) = -86*s + 918. Let i(t) = -10*f(t) - 3*z(t). Let a(m) = -26*m. Give i(a(d)).\nAnswer: 52*d + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 2, -8, 3, 137, -3 in descending order.\nAnswer: 137, 3, 2, -3, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2366 = 5*i, -t - i - 2378 = -5*t. Let a = -336 + t. Is 86 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*d**4*r**3 + 31*d**4*r**2 + 10139*r**3 - 2 wrt d?\nAnswer: 464*d**3*r**3 + 124*d**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 196032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrurur. Give prob of picking 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q. Let a(m) = m. Give 6*a(v) + l(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(4*s - 2*s - 4*s) + (-1748 - 1710 + 3225)*(-2*s - 1 + 1).\nAnswer: 464*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**4 - f**3 - f**2 + f - 2. Let n(c) = 3*c**5 + 65*c**4 + 454*c**3 + 1354*c**2 + 1730*c + 764. Let x(i) = 2*h(i) - n(i). Solve x(g) = 0 for g.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x + 43. Suppose 0 = 7*y - 2*y - 2*w - 44, -2*y + 4*w = -8. Let l be o(y). Let k(g) = g**3 - 3*g**2 + 2*g - 1. Give k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2)\/((-8)\/572). What is the third derivative of l**2 - t*l**3 + 146*l**3 - 4*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0135719 to 4 decimal places.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/2 + 12*k**3 - 39*k**2\/2 + 9*k.\nAnswer: -3*k*(k - 6)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10366.44 + -95.0765\nAnswer: -10461.5165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -52 - 1 - (-1 + -10) - -3 - -37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -301 - 2?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 53 - 93 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:17 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -5\/1321?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + b = 21, 7 + 11 = 3*y - 3*b. Suppose 3*n - 3*a - 297 = 0, -y*n - a + 192 = -7*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -696 - -696. Let w be 2\/((15\/(-6))\/(-5)). What is the nearest to r in w, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34\/5 + 7. Let v = -0.02 + 0.12. What is the third biggest value in 5, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349471219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.1 - -114.9. Let l = a - 89.5. What is l rounded to zero dps?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 7049?\nAnswer: 56392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 12, 23\/10, -2\/3, -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiiooooiooaooqo. What is prob of picking 1 i and 2 o?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14255 + 14252. Let g = 86 - 3. Let a = 752\/9 - g. What is the third smallest value in 1\/6, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21081 divided by 17?\nAnswer: 21081\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*o + p - 3, -4*p + 6 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 708, 1429, 2162, 2907, 3664, 4433, 5214?\n\"Answer: 6*i**2 + 703*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13188, 53223, 119958, 213393?\nAnswer: 333528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54425*g + 54425*g - 1 + 96435*g**2.\nAnswer: 96435*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c = -3579*z + 3580*z + 80, -3*c - 5*z = -72 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*t - 11 = 21, s + 2*t = -28. Let i be s\/(-6)*(-27)\/(-18). Suppose -5*j = -7*j. Solve j = i*q + 1 - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.1. Let h = 8.2589 - 8.37. Let q = h + r. What is q rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-17)\/(-5) - (-4)\/(-10)) + -5. Let r be 92\/22 - (v + (-72)\/(-33)). Solve 5 = b + r*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + f + 0)*(-f - f + 3*f) + 8*f**2 - f**2 - 6*f**2)*((-2 - 2*f + 2)*(4*f - f - 4*f) - f + 2*f**2 + f + 352*f**2 + 203*f - 180*f**2 - 174*f**2).\nAnswer: 4*f**4 + 406*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcmf when four letters picked without replacement from {h: 1, f: 3, j: 1, c: 3, m: 5}.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**4\/12 - 14*j**3\/3 + 355*j**2. Let p(t) = 86*t**2. What is p(d(i))?\nAnswer: 344*i**2 + 9632*i + 67424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -2 - (-410 + 399).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 282. Suppose -629 = 2*u - l. Let g = 3122\/13 + u. Is g at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/10103, 4?\nAnswer: -1\/10103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - 7\/(21\/(-879))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4351410061.\nAnswer: 73, 59608357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 382970341 to the power of 1\/2, to the nearest integer?\nAnswer: 19570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -4*r. Suppose -s + 5*a = 10*a + 8, -a + 6 = 4*s. Calculate the greatest common divisor of s and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.91739 - 0.08261. Let j be (-10 + 2 + -1)*-1. What is the nearest to j in a, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 6*r**2 - 6. Let i(v) = v - 10. Let a be i(-7). Let t(p) = 0*p**3 - 12 - 5 + 17*p**2 - p**3 + 3*p**3. Calculate a*s(h) + 6*t(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 12*h = -11*h - 5, 0 = 2*q - 4*h + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c + 0 + 1\/945*c**7 + 8\/45*c**5 - 1\/36*c**6 + 0*c**3 + 16\/27*c**4 - 53*c**2. Factor s(w).\nAnswer: 2*w*(w - 8)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 7*y**2 + 7*y - 12. Let u be -1*4 - (-20)\/(-5). Calculate d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -6.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -4*j + y - 5*y, 5*y + 155 = 3*j. Let x = 5 + -2. Suppose -5*o = x*p + p - j, -4 = -p + 2*o. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 12) to base 16.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1096 divided by -8\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 j when three letters picked without replacement from llaablllj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4 and 97478 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 39 = 4*s - v, 2*s + 2*v + 2 = 0. Let t be 12\/(-7) + ((-150)\/35 - -4). Which is bigger: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-114))\/((-4632)\/(-7334)). Let p = 2.01 + -0.01. What is the closest to d in p, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466658.\nAnswer: 2, 23, 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6002 - 1568. List the prime factors of v.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -604881, -1209758, -1814635, -2419512?\n\"Answer: -604877*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 3. Let u be v(2). Solve -7*f = -17 - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820 and 135820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122620610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 6*(sqrt(704) + sqrt(704)*-1) + 1*sqrt(396) + -2))**2.\nAnswer: -1500*sqrt(11) + 10525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108415357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 4*y = -80, 0 = 4*n - 4*y - 140. Suppose 3*l - n = 183. Suppose -o + h = -32, -3*h + l + 3 = 2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32906983\/176 + 186971. Let n = 5\/16 + h. Let q = 14 - 29. Which is the third smallest value? (a) q (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2541210 to the nearest 10000.\nAnswer: 2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 185.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 303529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 + -223. Let j = 1393 - 1391. Which is the nearest to y? (a) 2\/7 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005222 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 293\/353 or 0?\nAnswer: 293\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**5 - 1075*u**4 + 34075*u**3 + 339875*u**2 - 34070*u - 338800 = 0. What is u?\nAnswer: -242, -8, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) 48 (c) -2\/3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -5*c + 688, 5*c - 692 = l. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.35 + -15.349996705. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Suppose 0*g = -x*g - 8, 0 = 4*i + 3*g - 12. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*j - 152*j - 32 = -304*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -f + 1. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 2*d + 1. Let a be t(1). Let j(g) = -a*g - g + 7*g + 0*g. Let x(o) = 9 - 14*o**2 - 9 + 13*o**2. Calculate j(x(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001010 + 1001100?\nAnswer: 111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 6*x + 32*x + 4*x.\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 14805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 50.9.\nAnswer: -203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 - 14738*d + 14736 = 0 for d.\nAnswer: 1, 7368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 0.2968 (c) 7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*z - 120. Calculate the highest common divisor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhttcydiycythttctc. Give prob of picking 2 c, 1 y, and 1 i.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluu. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*423\/(-3510) - 22*19\/4180?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p - 11 = 0. Let o = 14 + p. Suppose -5*v + 971 = -s + 12, 0 = -o*v - 4*s + 557. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48152 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73398*h**2 - 70093*h**2 + 143466*h**2.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359190 divided by 6.\nAnswer: 59865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -49*x - 5. Calculate g(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96934 + -63508. List the prime factors of z.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**4*f**(-4)*f*f\/f**(-3)*f\/(f\/(f*(f\/(f*f**(-2\/11)))\/f*f)*f) assuming f is positive.\nAnswer: f**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 less than -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 562 + -1687\/3. Which is the nearest to s? (a) -5 (b) 9 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 36*l - 120 = 42*l. Let k(y) = -4*y - 5. Let h(x) = 5*x + 6. Determine l*k(w) - 5*h(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260 - -266. Suppose 0 = -4*u + 4*t + 1360, -1700 = u - k*u - t. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:27 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and -28*(5 + -1)\/24*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 0.31. Sort -4, -1, j in ascending order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pet when three letters picked without replacement from {e: 1, i: 3, t: 3, p: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -102, 5666\/865?\nAnswer: 5666\/865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.0466424 to 0 dps.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -f + 34, -f - 3*j + 70 = 22. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((9 + 4 - 5)*(7 - 7 + 7*f)*(-2*f - 2*f + 3*f) - f**2 + 3*f**2 - 3*f**2)*(-13 - 17 - 77) as k*f + t + b*f**2 and give b.\nAnswer: 6099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64*-1.41.\nAnswer: 90.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 172, 180?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520302 is divided by 30606.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:16 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s + 5. Let t(h) = 13*h + 4. Let m(c) = -6*f(c) + 5*t(c). Suppose 0 = 5*p - v - 35, -4*v - 4 = 5*p - 39. Let g(j) = -4*j - 3. Give p*g(l) - 2*m(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550 = -1259*s + 2458*s - 1249*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 + 121. Suppose 9*t = i*t + 3201. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 - (37 - 28) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 6) in base 7?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.005 from -1152.3941.\nAnswer: -1123.3891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 36, -35, -180, -423, -788?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 + 4*z - 8. Let b be j(-6). Suppose -4*h - 6 - 6 = 3*d, -b*h - 20 = 5*d. Suppose h*r - 2*r + 72 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -0.5, -1.02, 2\/3, -21\/8, -0.14?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39054 divided by 1698\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-314)\/(-574) - 65\/(-2665)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 5*a. Let d be o(5). Let z = d + 2. Suppose z*y - 115 = i, 69 - 24 = y + 2*i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 435 and 975.\nAnswer: 28275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/75 in 59, -5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -1)*-5 + 3.\nAnswer: -20*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b + 1. Let z(g) = -3*g**2 + 8*g + 2. Let q(c) = 2*p(c) - z(c). Let u(i) = 58*i**2 + i. Give u(q(a)).\nAnswer: 522*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q**2 - 11*q**2 - 5 + 12*q**2 - 21*q. Let b(y) = -y - 1. Give -5*b(h) + j(h).\nAnswer: -2*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/6 + 232*o**3\/9 + 451*o**2\/3 + 224*o + 901. Let l(y) = 0. Calculate y.\nAnswer: -112, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1. Let s(w) = w + 8. Determine -2*s(n) - 4*x(n).\nAnswer: -2*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*t)*(15 + 2 + 4)*(-t**2 - 2*t**2 + t**2) as w*t**3 + x*t + j*t**2 + s and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and -1\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*q = -5*z + 157*q - 10, -147*z + q + 152 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 3. Let i(c) be the first derivative of -c**3\/6 + 75*c**2\/2 + 104. Let h(z) be the second derivative of i(z). Calculate -7*h(t) - 3*s(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 - 4120*h**3 - 857076*h**2 + 109224128*h - 214986928 = 0. What is h?\nAnswer: -559, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267242618, 267242616, 267242614?\nAnswer: 267242612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/108)\/(2\/(-30)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*v - 35, -v = -2*m - 2*v - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ephy when four letters picked without replacement from {h: 1, d: 1, y: 1, p: 1, e: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) -1\/5 (c) 125\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169812943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -137, -319, -581, -923, -1345, -1847?\nAnswer: -2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127805491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 3*b**2 + 2. Let f be j(-3). Let p = 253 - 244. Let l(a) = p*a**f + 0*a**2 + 6*a**2. Let k(o) = -2*o. Give l(k(s)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/9 + 152*n**4\/3 + 20782*n**3\/9 + 1436*n**2 - 315512*n\/9 + 135280\/3 = 0. What is n?\nAnswer: -38, -5, 2, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 45*d**2 - 78*d + 82*d - 77*d + 115. Find the first derivative of f(h) wrt h.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 288 + -167. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260469000 rounded to the nearest 1000000?\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.36. Let a = u + 0.1. Round a to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1382 - 1238) + (-20 - -3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3320.9241, -0.9 in decreasing order.\nAnswer: 3320.9241, -1\/3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g\/(g**14\/g))\/g)*g)*g*(g*(g\/(g\/(g\/(g**(-5\/2)*g)*g)))\/g)\/g)\/((((g*g**(1\/42))\/g)\/g)\/g**10) assuming g is positive.\nAnswer: g**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16661408 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -59945?\nAnswer: -59941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a + 5*a - 4*g + 2, -4*g = -5*a + 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 4. Let p(n) = -n - 1 + 2*n + n**3 - h*n**3 - n**2. Let f be p(1). Which is the closest to 0.1? (a) 0.4 (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 6. Let y be a(2). Let w be ((-14)\/8 + 3)*y. Suppose 2*m + 3*d = 7*d + 16, 5*m + w = -5*d. Sort m, 0.4, -0.1.\nAnswer: -0.1, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 48*m**4 - 21891*m**3 + 2466312*m**2 - 35968299*m + 2238390 = 0?\nAnswer: 1\/16, 17, 154, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15088723 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1373*w - 17472. Give l(13).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 + 2 - 101*c - 90*c**3 + 174*c - 92*c wrt c.\nAnswer: -540*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + (5*-1*sqrt(95))\/(5*sqrt(5)*4))**2.\nAnswer: -2*sqrt(19) + 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (16 - (20 + -16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193 smaller than 2193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36815 - -54667. Suppose y + f = 5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 3*m**2 + 12*m + 3. Let i(p) = 3*p**3 + 4*p**2 - 13*p - 4. What is -3*i(l) - 4*v(l)?\nAnswer: -l**3 - 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Let w(b) = b - 87. What is w(r(l))?\nAnswer: 2*l - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 10, s: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309102203?\nAnswer: 19, 16268537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2*l**3 + 90*g**2 + 6246757*g*l**4 + g*l**2 - g - 2*l**4 - l - 11176 wrt l.\nAnswer: 6*g**2 + 149922168*g*l - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 51. Suppose 3*k + 3*x + 2*x = 29, 4*x = 4*k - 60. Let a be 7\/(-35) - k\/10. Put i, a, -0.09 in decreasing order.\nAnswer: -0.09, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d14c (base 14) in base 6?\nAnswer: 5413252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*2\/4)\/(37\/222). Let k be 897\/(-845) - u\/(-5). Which is the second biggest value? (a) k (b) 1\/5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/14 (b) -2 (c) 0.7 (d) -5\/129 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0 + 0*t**5 - 181\/24*t**4 - 98\/3*t**3 - t + 1\/120*t**6 + 57*t**2. Find the first derivative of n(r) wrt r.\nAnswer: 3*r**2 - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 8*p**5\/5 - p**4\/2 - 2*p**3\/3 - p**2 + 37. What is the third derivative of b(j) wrt j?\nAnswer: 192*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*d**3*h**3 + 86*d**3*h - 9*d**3 - 17370*d**2*h**3 + h**3 wrt d.\nAnswer: 210*h**3 + 516*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21539)\/(-44345) - (-2 - 25\/(-14)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 + 3)*-3. Suppose -52 = -0*a - a + 4*h, m*a = 3*h + 111. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5778?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -25.57. What is the third smallest value in -5, -3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -360, -358, -354, -348, -340, -330, -318?\n\"Answer: s**2 - s - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {g: 5, t: 13}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1161033603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 2, -10, -36, -82, -154, -258?\n\"Answer: -d**3 + 2*d**2 - 3*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/7315 and 101\/30.\nAnswer: 43890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.7, -4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(7) + sqrt(35)\/sqrt(5)) + sqrt(45))\/(sqrt(9) + (sqrt(9) - 2*sqrt(72)\/sqrt(8)) + sqrt(9)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + s - 12. Solve 10 = s*y + 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 5. Let m(h) = -h + 3*h + s + 7*h - 7*h. Let r be m(-7). Solve -4*k + 20 = 4*q, -33 = -5*q - r*k - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 2*o - 4. Let c be f(-2). Solve 5*p - 26 = -2*j, 2*p + j + 5 = c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bee when three letters picked without replacement from {b: 11, e: 9}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1035970 - -3?\nAnswer: 1035973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -33*w + 102. Let i(p) be the second derivative of 0*p**2 + 1\/30*p**6 + 1\/12*p**4 + 6*p + 1\/24*p**w + 0 + 1\/168*p**7 + 3\/40*p**5. Factor i(x).\nAnswer: x*(x + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -4*c**3 + c**2\/2 + c - 32. Let y(a) = a**2 + a - 1. Let k(j) = -t(j) + 3*y(j). Does 15 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 12)*(1098 - 4*l - 1098 + (3*l - 2*l - 2*l)*(1 + 0 - 2))*(-3*l + 2*l + 6*l) to the form u + m*l + g*l**2 and give g.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/15 - 25*f**4\/6 + 36*f**3 + 210*f**2. Factor b(c).\nAnswer: -4*(c - 2)*(c + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.0000047 + -7. What is s rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-8)*584\/(-219)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43 * 6.396.\nAnswer: 2.75028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 408 + -273. Let d = 134.9832 - v. What is d rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*l - 16 = b + 255*l, -3*b - 38 = 4*l for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2 - 2. What is h(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -16 + 17 - 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 5 + 29 + 439*q**2 - 6724*q**2 to a*q**2 + r*q + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 + 241. Solve i = -5*v - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1596 by -228.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9 + 4*i + 9. Let z(l) = -l. Suppose -20 = -8*g + 3*g. Let t(k) = 3*k. Let o(r) = g*t(r) + 11*z(r). Give o(q(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001072 rounded to six decimal places?\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(9\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/46 and -93\/1490.\nAnswer: 34270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*z - 786*z + 168*z + 166958*z**3 - 166962*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + (-22664)\/(-72) - 2\/(-9)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 151\/((-3926)\/(-2392)) - -18.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 262975?\nAnswer: 788925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1708862314 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.7 - -6. Let o = -2 - -1.9. Which is the nearest to -1? (a) 1 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/3 - 5*r**2\/2 + 3*r + 2. Suppose a = -0*a - 4*b + 11, 0 = -a - b + 5. What is q(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*g - 622 + 32*g - 9 - 187 + 25*g to s + t*g and give s.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12447.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2214060 divided by 442812?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1518 and 1425831.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4*p + c - 2, 12 = 3*c. Suppose 18 + 22 = 5*n. What is the remainder when p is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*b - 12 = 0, -3*b = -5*i + b + 22. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 + 21*p + 19. What is the hundreds digit of r(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:33 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 1, t: 5, a: 1, v: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4 + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -1 + 0*z + 0*z**2 - 4\/3*z**3. Let m(c) be the second derivative of c**3\/2 + 1027*c. Give p(m(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 71*b - 53. Is h(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 358246, 716100, 1073954, 1431808, 1789662?\n\"Answer: 357854*d + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 18*q**2 + 18*q + 28. Let p be f(19). Suppose -p = k + 9. What is the tens digit of ((-85)\/15 - -3)*k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, e: 8, q: 1}. What is prob of picking 1 j, 1 e, and 1 q?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -345 + 112. Let p be 5 + (-4)\/(-28)*t. Which is greater: p or -29?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (4 + sqrt(320))*-5)*1 + 5)**2.\nAnswer: 1040*sqrt(5) + 8169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681, -1518, -2365, -3222, -4089, -4966, -5853?\nAnswer: -6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*(0 + sqrt(117)) + 5)**2 + (2 + (sqrt(117) - (3 + sqrt(117) + -1 + sqrt(117))))**2)*-2.\nAnswer: 1800*sqrt(13) + 43540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 212.5?\nAnswer: -1062.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2723 + -3223. Which is the second biggest value? (a) 3 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*i**2 - 193.\nAnswer: -454*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3587 - -9913. Round l to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -887 + 3240. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -98*d**3 - 144*d**2 + 53*d - 17. Let l(g) = 33*g**3 + 48*g**2 - 18*g + 6. Let x(z) = 17*l(z) + 6*o(z). Determine u, given that x(u) = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29 + -10 - 19)\/(4\/6*3). Let p(i) = -2 - i**3 - 1 + 3*i**2 + 0*i**2 + 0*i**2 + 2*i. Let j be p(3). Solve y = o - 2, j*y - 4*o = -t*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 1 - 1)*(5 - 8 - 6) + 5 - d - 5 + d - 4*d + 5*d + 0*d + 2*d + 0*d + (-5*d - d + 4*d)*(-2 + 4 + 0) + 1 - 1 - 2*d - 4*d - d + 6*d.\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -32. Suppose 4*a - 1 = v*a. Let t(h) = -2*h + 2. Let o(r) = 2*r + 3. Let b be o(0). Let u(s) = -s + 1. Give a*t(i) + b*u(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 + -4)\/5)\/(2\/(-30)). Calculate the common denominator of -97\/30 and (14\/4)\/(-7) + f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2597 and -32\/3339.\nAnswer: 23373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b - 45. Let y(t) = 6*t - 15. Let x(h) = 4*v(h) - 11*y(h). Find the first derivative of x(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057*l**2 + 2964*l**2 - 1027*l**2 - 1279*l**2.\nAnswer: -399*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.259027l?\nAnswer: 2259.027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0102782 + 1.04741.\nAnswer: 1.0371318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3*h + 4*h - 2*h) + (3*h + 0*h + h)*(-5 + 0 + 4).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 7 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, -2.25, 1\/53 in increasing order.\nAnswer: -2.25, 1\/53, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 19*u - 3. Calculate z(-9).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 1, -0.07, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 2*g + 1. Let m be h(-3). Solve 0 = m*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 = 4*i - t + 116, -4*t = 5*i - 846. List the prime factors of i.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 19*u**2 + 7*u - 19. Let r be i(-20). Let l = r + -239. Solve l*o + 2 = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 15*i + 12*i = 15, -i = -3*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 74.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 + 4*j**3 - 33*j + 0*j**2 - j**2 - 22 + 2*j**3 + 14 in the form w + d*j**3 + q*j + u*j**2 and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2212412374.\nAnswer: 2, 89, 12429283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -217, 31, 503, 1271, 2407?\nAnswer: 3983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84*k**2 + 7006*k + 3464102 wrt k.\nAnswer: -168*k + 7006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1161 and 14\/30057?\nAnswer: 270513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17076)\/(-40)*(-3)\/(-162). Let b = -253\/18 + j. Find the common denominator of 49\/8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 1:02 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4\/(-4)) + (-78)\/13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 151, 140, 127, 112, 95?\n\"Answer: -c**2 - 8*c + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1464*10.\nAnswer: -14640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8230221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x - 6*x**2 + 6*x - 7*x - x**3 + 4*x + 3. What is d(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muutmmuuyduduuumm. Give prob of picking 1 m and 1 y.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {b: 2, k: 1, m: 3, y: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -677\/23 + 9501\/322. Which is the fifth smallest value? (a) r (b) 5 (c) 13.2 (d) -3\/4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 8. Let z(p) = -3*p - 3. Calculate the smallest common multiple of z(t) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**22)**(-2\/47) assuming i is positive.\nAnswer: i**(-44\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3) - (-50)\/15. Let q(y) be the second derivative of 1\/6*y**3 + 0 + y - y**l. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 27. Let q be s(-10). Let u(n) = 6*n + 5. Let d(w) = -w + 6. Calculate the remainder when u(q) is divided by d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*i**5*j**2 + 3028*i**4*j - 5*i**2*j + 915*j**2 wrt i?\nAnswer: 1860*i**2*j**2 + 72672*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -5772 and -5775 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 (base 15) in base 11?\nAnswer: -1597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/24 + 3*b**5\/20 - 11*b**4\/8 + 19*b**3\/6 - 27*b**2\/8 + 7*b\/4 - 20. Factor o(a).\nAnswer: (a - 1)**4*(a + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022594723 to seven dps.\nAnswer: -0.0002259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7148877548531 - -2\nAnswer: 7148877548533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.5 - -6.6. Which is the nearest to l? (a) 4 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258792999 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + -15)*10\/(-4). Suppose -6*q + 496 - l = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a + 25. Let j be q(0). Suppose 0 = -24*b + j*b. Let l = 3 + -6. Is b at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 5829676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -150*f - 1325. Calculate n(-24).\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*2*1)\/(sqrt(80) - 6*sqrt(80)*-1) + 4.\nAnswer: 3*sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 4*z**3 + 6*z**2 - 8*z - 8.\nAnswer: -2*(z - 2)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49703023*a - 109005296?\nAnswer: -49703023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13*l*l*l**(-15)*l*l*l*l**(2\/33)*l*l*(l\/(l**4\/l))\/l)**(-11) assuming l is positive.\nAnswer: l**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*r + 6, 2*r + 3 - 1 = s. Let i = 0.013 - 2.573. Let o = i + -1.44. Put o, -9, s in increasing order.\nAnswer: -9, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by ((-2)\/5)\/(13\/(-65))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 2*o - 2*o)*(1 + 5 - 4) + 3*o - 3*o - 3*o - 4*o - 4*o + 11*o in the form f + q*o and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**2 + 124152*n + 2857612 = 0.\nAnswer: -23, 31061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.5. What is the second biggest value in -0.1, m, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60354063296\/83707143 - 2\/3639441. Let q = 721 - s. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**2 + 3999*y + 1602.\nAnswer: -3*(y - 267)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 3, -1\/5, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -324832.\nAnswer: 3\/162416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 8*z + 21. Suppose -z*b = -10 - 11. Let q(r) = 6*r**3 + r + r**2 - 2*r**2 + 5*r**3 - b*r**3. What is q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.6 - 13. Let o = l + -2.1. Let r = -114.5 + 114. Which is the second biggest value? (a) -1 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171832446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, 191, 1206, 3075, 6056, 10407, 16386?\nAnswer: 24251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1712*b + 607*b + 229*b + 398*b to the form o + g*b and give g.\nAnswer: 2946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 480125335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39237 divided by -11\nAnswer: 3567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -532.3006404824 plus -0.8?\nAnswer: -533.1006404824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005926 to seven dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d + 168. Give i(-43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 251 - 252 + 3*a**3 - a + 5*a**2 - 9*a**4 - 7*a. Let j(v) = 3 - 4*v**4 + 2*v**3 - 3 + 2*v**2 - 4*v. Let o(k) = -2*c(k) + 5*j(k). Factor o(d).\nAnswer: -2*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386225688.3 to the nearest one million.\nAnswer: -386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 152. Suppose 253 = -5*x - 4*q, 0*x - 4*x + 4*q = 224. Is r at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**2\/7 - 202924*l\/7 - 67642\/7.\nAnswer: 2*(l - 33821)*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13723, 14091, 14459, 14827, 15195, 15563?\nAnswer: 15931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1203 + 482. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 11\/6*j**3 + 0 + 1\/4*j**4 - 2*j - 46*j**2. Calculate g(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxiixxxxxxxx. Give prob of sequence xix.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 1. Let d be q(1). Let h = d + 22. Calculate the remainder when 56 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51488, -101954, -152420, -202886?\n\"Answer: -50466*l - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -15*r**2 - 20805790*r + 6935265 = 0?\nAnswer: -1387053, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 83 - 315 = 0. Let c = g + 6. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -172. Let j(d) = t + d**2 - 15*d + 14*d + 13 - 21. Let h(z) = -2*z**2 + 2*z - 2. What is -4*h(y) - 9*j(y)?\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) 1\/25 (c) 8.8 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 931189 * -0.83\nAnswer: -772886.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3162600 + 3046?\nAnswer: -3156521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -441 - -446. Let c be (2 - 4\/3)*3. Solve u - 11 = -q + y*u, u + c = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwlllxlxilwxlbw. What is prob of sequence iwl?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5009003.\nAnswer: 5009003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1196267 less than or equal to -1196263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006110 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/330)\/((8\/5)\/2). Let o = -99.4 - -100. Put -5, x, o in ascending order.\nAnswer: -5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638215313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 212166991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 14 - 68. What is the lowest common multiple of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -25*x + 25. Let u be m(1). Which is bigger: 0.07 or u?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1 (c) -63 (d) 0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*w + 28, 374*j - 373*j - 5*w - 19 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2826 by 942.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-738)\/(-135))*9\/(162\/48)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30) - (-1463)\/2310\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p - 0. Let n be ((-12)\/p + 0)*5. Is 3*n*1 + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*1\/(12\/20). Let w(i) = 9*i**3 - 2*i**2. Let y be w(2). Suppose -21 - y = -n*h. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 2*c)*(-2 + 0 + 1) + 2*c - 3*c + 2*c + (2 + 0 - 3)*(60*c + 56*c - 85*c) + (0*c - 2*c + 4*c)*(-1 + 1 + 6).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67\/4 of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8*g - 11*g + 708028 = 0, 3*g - 3540056 = -5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 14. Let j be v(12). Which is the second smallest value? (a) 1\/3 (b) 10 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.6 + -38.6. What is the closest to a in -0.3, -0.2, 0.1, 12\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.632 * -1.2\nAnswer: -0.7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/9)\/a**(-12\/11) assuming a is positive.\nAnswer: a**(86\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*u**2 - 10 + 1 - 9*u**2 + 14*u**2.\nAnswer: -54*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 2*p + 3*p - 3*p + 38866.\nAnswer: -2*p + 38866","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 14) to base 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:00 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 12) to base 6.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivvvyvyvvvhvyyvh. What is prob of picking 2 h, 1 i, and 1 y?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70900 divided by 100?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 265761 - -3921?\nAnswer: 269682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2345 by -335.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 43342412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(15\/18*-15 + 4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + -1*sqrt(468)*1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(13\/3))\/(q**12\/q))**(-38) assuming q is positive.\nAnswer: q**(1634\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*q = 70, 4*q + 0 = 4. Let g(p) = -2*p**3 + 2*p**2 + p + 1. Let i be g(3). Let b = i + u. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r - 3*r**3 - 627*r**4 + 4 - 4*r**2 - 6 + 625*r**4 in the form p*r + c*r**4 + j*r**2 + o + y*r**3 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8055?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -162, 1, -5 in ascending order.\nAnswer: -162, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229 * -0.1.\nAnswer: 22.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 0?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2 - 6*l**2 + 5*l**6 - l**6 wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsssetttstssttstrr. Give prob of sequence ress.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 12028 - 23841 + 12098 + (-4*a + 4*a - 2*a)*(-3 + 2 + 0) as i*a + l and give l.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 4 + (3*sqrt(2)*3 - sqrt(648)\/sqrt(9)).\nAnswer: 3*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7 = 2, -n - 5*k + 41 = 0. Calculate the remainder when 77 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*x - x = 25, -3*x = -4*d + 15. Let s be (-1 + -5)\/((-9)\/6). Solve -4*m = i - 16, d = 5*m - s*m - 4*i - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5 - 8. Let m = 20.4 - 17.4. What is the smallest value in 8, m, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*h - 359, 4*l + h = -34 + 504. Let g = -262 - -325. What is the remainder when l is divided by g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -7. Suppose 0 = -3*h - 4*f + 64, 2*h - 3*f + 4*f = 46. Suppose 7*d - 5*d = h. What is the remainder when u is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**3\/6 + j + 1. Let w(d) be the first derivative of l(d). Let g(t) = 151*t**2 - 320*t**2 + 162*t**2. What is w(g(m))?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 498*24\/828 + ((-273)\/117)\/(1\/6)\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136210*z**2 + 112811*z wrt z?\nAnswer: 272420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**8\/g)))\/(g**5\/g))\/(g**1)**(2\/49) assuming g is positive.\nAnswer: g**(145\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 611356 and -2.\nAnswer: -1222712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 54, -2, 0, -4.\nAnswer: -4, -2, 0, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((-2420)\/30)\/(-11)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 74384*t - 372020 = 0. Calculate t.\nAnswer: -5, 18601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*i + 6*i - 41, -i + 34 = 2*l. Suppose 0 = 2*x - 5*x + 168. What is the remainder when x is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let y(s) = -2 + s**2 + s + 2*s**2 - 2*s + 1. Give -n(z) - y(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 16543718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 47. Calculate n(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.19692405 - 15629288\nAnswer: -15629286.80307595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -3*f**4\/8 - 76*f**3 - 303*f**2\/4 + 5236*f. Let p(q) = 0. What is q?\nAnswer: -101, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -1 + -22 + 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104024 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5703 = 35*r - 4828 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108) + 1)*3 + 1 + (sqrt(108) + 1)**2 + 1 + 0 + 2).\nAnswer: -464 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191574223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2088 and 353220?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2053359902 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409 by -1097.\nAnswer: -409\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2*3\/(-6)). Let k be ((-18)\/5 - -3) + m. What is the closest to k in -2\/3, -3\/2, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007259 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101101010 (base 2) to base 4\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**5 + 35025*v**4 - 2*v**3 - 385*v**2 - 2*v + 16 wrt v.\nAnswer: -180*v**2 + 840600*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265219, 533071, 800923, 1068775, 1336627, 1604479?\nAnswer: 1872331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16)*2*118\/531.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2978, 11010, 24102, 42254?\n\"Answer: 2530*r**2 + 442*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 86*p + 588.\nAnswer: -2*(p - 49)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7431\/8 + 929. Factor -3\/4*d**3 + 13\/8*d**2 + 1\/2 - 3\/2*d + p*d**4.\nAnswer: (d - 2)**2*(d - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.003 in 5, 3, -18, 12\/25?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 38 = 4*l - 386, 2*c + 216 = 3*l. Is 8 a factor of 12 + -7 + c\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57612714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 368.00000346 - 368. What is y rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqmmxmnmynmxm. Give prob of picking 1 y and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13067 (base 14) to base 10.\nAnswer: 46739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 10*b**2 - 2*b + 15. Let h be f(-9). Let q = 125 - h. What is the remainder when 131 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 149970?\nAnswer: -119\/149970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 + 1569*z**4 + 113151*z**3 - 1558153*z**2 + 5089512*z - 956484 = 0. Calculate z.\nAnswer: -163, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62, 203, 440, 773, 1202, 1727?\n\"Answer: 48*f**2 - 3*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 17. Solve m*k - 10*k = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1482, 1538, 1604, 1686, 1790?\n\"Answer: y**3 - y**2 + 52*y + 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128361 is divided by 228.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 + 13*s**3 - 35*s**3 - 6*s**3 + 21*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oraahhhhl. What is prob of picking 2 a and 1 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 1, s: 11}. What is prob of sequence ggg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:40 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3812 - 5?\nAnswer: -3817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322 - 322 + 77*k**2 to the form d*k**2 + l*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4649, 4674, 4699, 4724, 4749, 4774?\nAnswer: 4799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4. Let h be (-1 + (-4 - g))\/(-2). Find the first derivative of -4 + 2*a**2 - 6*a**2 + h*a**2 wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 - 6*n**4 - 5*n**4)*(90*n + 89*n - 50*n + 92*n).\nAnswer: -3315*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -579913 (b) 3\/8 (c) -3 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026575473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507034 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:03 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 + -449 + (-2 - 8) - (-1 + 5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -163014.\nAnswer: 1\/163014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and 7\/429.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767351711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5*s - 23*h**3*s**3 + 3332*h**3 - 263886554*h**2*s**3 wrt h?\nAnswer: 60*h**2*s - 138*s**3 + 19992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927009 is divided by 113347.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4623\/4 - 1156. Which is the nearest to -0.1? (a) v (b) 2 (c) -2\/13 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/17))**(5\/6))**14 assuming o is positive.\nAnswer: o**(35\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4 + 5483*f**3\/3 + 11906*f**2\/3 + 1832*f\/3 = 0.\nAnswer: -2, -1\/6, 0, 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*i = 40, 5*i - 31 = p - 11. Solve 0 = 3*r + 20 - p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 68 = -11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*v**4 + 18*v**3 - v - 378 wrt v.\nAnswer: -732*v**2 + 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -171335381 + -49901?\nAnswer: -171385282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04660649405 from -0.001.\nAnswer: 0.04560649405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*17\/1309*2 + (-2553954)\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**2 + 17. Suppose -5 - 2 = -r. Let t(y) = 9*y. What is r*s(h) + 3*t(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let c be 2\/(0 - 3\/(-6)). What is the remainder when 1\/4 + 19\/c is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 31 = -50*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*y - 33*y - 2*y**3 + 12*y**2 - 36*y in the form p*y**3 + s + k*y + x*y**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -534 - -534.031. Let g = x - 0.089. Which is the biggest value? (a) 0.2 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*0.1880039\nAnswer: 1.880039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -32, 1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + w + 2*w = 60, 29*a - 179 = -680*w + 682*w - 126 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 20 - 30. Suppose -t = -4*g + 27. Calculate the highest common divisor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 3*l + 3*l**2. Let g = -4 - -8. Let f(m) = -6*m - 3. Let o(q) = -7*q - 4. Let k(p) = g*f(p) - 3*o(p). What is k(a(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*q - 64. Suppose 2*z = 2 + 6. Suppose -z + 79 = 3*i + 3*c, 0 = -4*c + 20. What is the lowest common multiple of q and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18853 is divided by 788.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:28 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 460.51.\nAnswer: 458.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, -3, -7\/13, 11645, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 58 = -38 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 177*j**2 - 233*j - 8380. Give q(-176).\nAnswer: 1652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) + (-2)\/(-5). Let j = -3 - n. Is j\/15 + 492\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5330*l + 424 + 18*l**2 + 9*l**2 + 5330*l to j + i*l + w*l**2 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27782229 and 48990?\nAnswer: 4899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 80 = -88 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*d = -573072, -2*m + 3*d = -256219 - 316849. Suppose 0 = y - m + 25028. Suppose -2*c = 3*c + y. Round c to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 10 = -8. Solve -k*r - r = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - ((91 - 41) + -21 - 16)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23924326.\nAnswer: 2, 1223, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1*-4)\/(sqrt(726)*-2) + 4)**2.\nAnswer: -16*sqrt(11)\/11 + 180\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279260264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from dukvk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 0, -3*k + 0*a = 4*a + 15. Let p = k - -11. Solve -3*f + 0 = 12, -2*f = p*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*((x*x**(3\/7))\/x)\/x)\/x)\/x)\/(x\/(x**(-1\/13)*x*x)))\/(x**6\/x*x\/(x*x**(-1\/2))) assuming x is positive.\nAnswer: x**(-1119\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.036 + 5.364. Let u = 6 - o. Let m = 0.4 + u. Which is the nearest to 0.2? (a) 0 (b) m (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029154 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((160\/(-228))\/(-10))\/((-4)\/(-6))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-3))\/((-6)\/(-54)). Suppose 184 - 705 = -5*p + 2*c, -2*p + 202 = -4*c. What is the highest common factor of p and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1326 by -3.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3390)\/(-904))\/((-5)\/(-24)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58944, -58959, -58970, -58977, -58980, -58979, -58974?\nAnswer: -58965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -496698 smaller than -496696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-1)\/(12\/14). Let i = -43.9 - -44. Which is the third biggest value? (a) i (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.141 + 0.641. Sort 2, s, 3, 0 in descending order.\nAnswer: 3, 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:27 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*y**3 + 1042*y**3 + 440*y**3.\nAnswer: 1374*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2344.89 + 2345. Let t = -16 + 16.3. Which is the biggest value? (a) z (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 - -129.011. Let q = o + -0.511. Let f = -0.3 - 0. Which is the fourth biggest value? (a) 0.6 (b) q (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 572 = 564 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171 - -66. Let w = j + 262. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7688563 and -7688565 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m + 15. Let r(j) = j**2 - j - 16. Let n be 184\/28 + (-4)\/7. Let h(z) = n*r(z) + 7*o(z). Determine h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 15*i**3 - 25*i + 26. What is the derivative of b(n) wrt n?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13883 - 70578\/5. Let c = 461701\/1985 + s. Let j = 3587\/2779 + c. Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 9*w**2 + 3*w + 21. What is i(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5095\/7 - 729. Let q = -79\/63 - m. Let k = q - 4\/45. Which is the nearest to 0.1? (a) k (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmymwwyyywmwymy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 16*s**2 - 6998*s - 20927. Determine h(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1395*q**3 + 48*q**2 - 396*q**2 - 1352*q**2 - 317*q**2 - 50*q**3 wrt q?\nAnswer: 8070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d**2 - d**2 + 4*d**2)*(-8*d**2 + 12*d**2 + 22*d**2) + 0*d - 2*d**4 + 0*d in the form f + j*d**2 + k*d**3 + r*d + c*d**4 and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*a + 4*d - 22, 3*a + 2*d - 10 = 0. Suppose -3*q + 32 - 5 = a. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -88. Which is the second smallest value? (a) 0.16 (b) 4 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5\/6647 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from rbbbbbrexrbabbbxxe.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162.375 - 156.375. Let z = 1 - 0.6. Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + p = 60, -36 = -36*q + 34*q + 5*p. Calculate the highest common factor of 46 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 - (2 + 3) - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 7. Let y(u) = -3*u - 6. Let n(m) = 3*r(m) - 4*y(m). Let q be ((-50)\/(-15))\/(6\/(-9)). Give n(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*u - 21. Let x = u + -6. Solve x - 3 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lier when four letters picked without replacement from iledlrlril.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 60*u. Let p(i) = 625*i**2 - 4*i + 10. What is a(p(l))?\nAnswer: 37500*l**2 - 240*l + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 4. Let b(f) = -f**i - f + f. Let p(j) = -3*j. Let s(t) = 2*t. Let a(d) = -3*p(d) - 5*s(d). Determine a(b(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9 - 3)*(77*u + 991*u**3 - 77*u) to c + h*u + g*u**2 + q*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 77. Let y(v) = 15*v - 153. Determine 5*p(n) + 2*y(n).\nAnswer: 5*n + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 3*q**2 - 2*q - 3. Let c(k) = k + 9. Let y be c(-11). Let o be l(y). Sort 2, -2, o in ascending order.\nAnswer: o, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 - 5*b - 4. Let m be q(-5). Let y(f) = f**2 - f - 4. What is the remainder when 31 is divided by y(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(7\/(-4) - -2). Let s be (-4)\/(-18) + h\/(-18). Let u = -141 + 141. Solve -s*b + 2 = 5*i - 4, i - 2*b - 6 = u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -307*d + 40. Let h(j) = 156*j - 15. What is -2*a(c) - 5*h(c)?\nAnswer: -166*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2890419 and 4955004?\nAnswer: 34685028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38531989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let b be (-3)\/4*(-32)\/(-8). Let k = b - -5. Let y(s) = 5*s - 3*s - k*s + 4*s**2. Give v(y(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1919*y + 3253*y - 5257*y.\nAnswer: -85*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695224052.\nAnswer: 2, 997, 174329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170328 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, 4, 1\/3 in decreasing order.\nAnswer: 4, 1\/3, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5 - 0. Suppose r*a - 12 = 3*a. Suppose -8 = -a*k + 4*k. Solve 3*u - 8*u = g + 12, -k*g + 3*u - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 115 = 21*s - 20 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -575\/6 - -96. Let i = -190 - -189. Which is the nearest to h? (a) 3 (b) i (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + j - 1. Let r(v) = -9*v**2 + 5*v + 13. What is r(o) - 4*w(o)?\nAnswer: -o**2 + o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.83 + 0.57. Let b = -10 + l. Let p = b - -0.438. Round p to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14286*q**5 - 24778*q**3 - 199029513*q**2 - 1 wrt q.\nAnswer: -857160*q**2 - 148668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/15 - 16689*y**2. Suppose 0 = -p + 3*z + 2, 0 = -3*p - 3*z + 5*z - 1. Calculate d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 51791424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14 + 14 - 46 - h**3 - 2 + 19. Let s(n) be the first derivative of 3*n**4\/2 + 8*n**3\/3 - 6*n**2 + 2*n + 1. Let u(c) = s(c) + 2*t(c). Solve u(o) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfqu when four letters picked without replacement from uxlxfqfz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, -235\/13, 1, -0.18 in descending order.\nAnswer: 2, 1, -0.18, -0.5, -235\/13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/8*f**2 + 3\/2*f.\nAnswer: -3*f*(f - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.5278 centimeters to nanometers.\nAnswer: 1205278000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 + 5*p + 6. Suppose t + 5 - 1 = 0. Let a be r(t). Find o, given that 1\/4*o - 1\/4*o**a + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/14 - 1479\/238\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -115, -261, -407, -553, -699?\n\"Answer: -146*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 7*r - 12*r + 1927, 5*h - 2*r - 2384 = 0. Let z(o) = -478*o + h*o - 23*o**2. Let l(b) = 4*b**2. Give l(z(a)).\nAnswer: 2116*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793381356.\nAnswer: 2, 31, 22527269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8580153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078997 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-7 + 2)) + 2. Find the common denominator of -61\/3 and -3 + l + (-54)\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2 (c) 386870 (d) 0.1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210168 and 30240.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116\/5*l**3 + 8112\/5*l + 0 - 2\/5*l**4 - 1976\/5*l**2 = 0.\nAnswer: 0, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m**2 + 136*m + 6. Let u(f) = 47*f**2 - 405*f - 19. What is -6*u(x) - 19*v(x)?\nAnswer: 3*x**2 - 154*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3796 - 3795.9997801. Round f to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 1, q: 7, p: 4, c: 1}. What is prob of picking 2 x, 1 p, and 1 z?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177 + -99. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263888 or -263897?\nAnswer: -263888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727748 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652513 is divided by 1652495.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 82 = -2*z, 3*z - 6*c = -4*c + 130. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(10\/7)*v**(-1\/9)*v**(-5\/7)*v*v*v\/(v\/(v**(8\/3)\/v)) assuming v is positive.\nAnswer: v**(269\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2543 - 2531. Let m(t) = -t**3 + 5*t**2 - 3*t + 5. Let b be m(4). Solve l*u - 9*u = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/40 + 2*r**3\/3 - 6*r**2. Find the first derivative of q(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28396369*v**4 + 73507128 wrt v?\nAnswer: 113585476*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.507 - -965.493. Let g = i + -963.09. Let y = g - 4.4. Round y to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432065 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/110*1*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1082, -1082, -1080, -1076, -1070?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 + f**2 + f - 1. Let m be q(-1). Let i be 14\/(-12) + m*4\/8. Solve i*n + 0 + 1\/3*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 10. Let c(g) = 176*g**2 - 1. Does 35 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**5 - 3*y**4 - 36*y**3 + 84*y**2 - 48*y = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**3 + 2*h**2 - 6*h - 3. Let l = -48 - -49. Let d(t) = t**3 - t - 1. Calculate l*f(o) - 6*d(o).\nAnswer: 2*o**3 + 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 308, -760, -3144, -7288, -13636?\nAnswer: -22632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:10 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**7\/210 + o**6\/120 - o**5\/60 - o**4\/24 - 21*o**2\/2 + 66. Let j(x) be the second derivative of k(x). Factor j(r).\nAnswer: r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18143 + 18153. Let x = 12 + -4. Suppose -5*m = -x - 12. What is the highest common divisor of m and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -5, 1\/2, 1, -37?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084*s = 1068*s + 213024. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 10 + 2)*(4*m - 2*m + 0*m) in the form f + p*m and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(384)\/(sqrt(16)\/sqrt(2) + sqrt(8)))\/sqrt(4) - (2*sqrt(192) - sqrt(12) - (sqrt(300) + -4))))**2.\nAnswer: 48*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41065*l + 41065*l + 78*l**2 + 93*l**2 - 133*l**2.\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfntb. What is prob of sequence tb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 14, 0.02?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9*11\/((-396)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(68) + sqrt(17))**2*-1 + 4 + 1*sqrt(17) + sqrt(17)) - ((sqrt(136)\/sqrt(128))**2 + (sqrt(102) + sqrt(102)*-2 + sqrt(102))\/sqrt(6)).\nAnswer: -14321\/16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 23*o - 5. Let x be 0 - 2 - (-12)\/3. Suppose -x*a - 12 = -7*a - 4*w, 2*a - 18 = 5*w. Is s(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, 0, 1\/22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:05 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 10. Let h be n(15). Suppose -2*y + 5*t = 3*y - 165, h*y = -5*t + 145. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125.7 + -37.3. Let q = -909687109.9999921 - -909687273. Let m = q + b. Round m to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + 5*t**2 + 81*t**3 + 1 - 80*t**3 + t**2 to the form v*t**2 + h + x*t**3 + q*t and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 + 14 = 4*h, 3*d = 3*h - 6. Solve -4*m = -h*m - 3*a + 3, -16 = 4*m + 4*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = 4*h, -2*q + 2*h = -0*h. Let f(a) = 0*a - 2 + 5*a + 1. Determine f(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/4))\/(t\/((((t**(-4)\/t*t)\/t*t)\/t)\/t))*(t**(-6\/11))**(-2\/27) assuming t is positive.\nAnswer: t**(-2261\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122*2 + -2 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -23943.\nAnswer: 8\/23943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/24 + r**2. Let w(l) = -l**2 - 4*l + 5. Let x be w(-6). What are the prime factors of f(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/99)\/(-1)*1\/(-1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 4 (b) -0.3 (c) 96\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 145933012*o.\nAnswer: -4*o*(o - 36483253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(252)*-1 - sqrt(252)) - sqrt(252)) + sqrt(252) + (sqrt(252) - (1 + sqrt(252))) + -4)**2 - (1 + sqrt(252) + 1 + 4)**2.\nAnswer: -672*sqrt(7) + 24937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527863 is divided by 384?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 29811.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31571.\nAnswer: 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 f when four letters picked without replacement from qqqqqqqfffqff.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6660 divided by -83871?\nAnswer: -740\/9319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 5, 23, 49, 83, 125?\n\"Answer: 4*c**2 - 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t - 2*t)*(8 - 11 - 10) + 2*t - 4*t + t + (1 - 3 + 0)*(-2*t + 3*t - 3*t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - (105 + 33 + -89).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 1307 - 263. Let t = r - 83. Suppose 3*w + 305 = -0*g + g, -4*g + t*w = -1188. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 310\/30 + (-4)\/3. Suppose 0 = -5*m - 10, 0 = x + 5*m - m + d. Let q be 4 + (-1 - x) + -1. What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1 (c) -0.2 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 502050 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4272 + -2965. List the prime factors of u.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9 - 16430\/10)\/(1 + 306\/(-294))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43994210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-22) - (-36)\/4) + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2001?\nAnswer: 20010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 4 = 15*w. Sort 0.5, w, -2\/15 in increasing order.\nAnswer: -2\/15, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 71 = -2*w - 0*w, 5*k - 5*w - 400 = 0. Differentiate -71*q**2 - k + 7*q**2 + 148 - 74 wrt q.\nAnswer: -128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 4*a - 4*a + (5*a - 2*a - a)*(-3 + 0 + 4) + 3*a - a + 0*a - 6*a - 5*a + 2*a + (0 + 0 - 2*a)*(4 - 3 + 0) as c + r*a and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -109. Calculate the remainder when ((-328)\/10)\/(36\/(-90)) is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p - 493 - 431 = -420 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2. Let n(s) = -41758*s**2. Determine n(y(b)).\nAnswer: -2672512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 3*q + 1. Let y be p(6). Let d = y - -23. Suppose 0 = d*z - 2*z - 20. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 196 = -22*f. Let x(d) be the first derivative of d**4\/24 - 2*d**3\/3 - 2*d**2 - 4. Let a(m) be the second derivative of x(m). What is a(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*b**3*c - 3109359*b**2*c + 88*b*c - 678*b + 6*c - 13 wrt b?\nAnswer: 600*b*c - 6218718*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1540017 + 37?\nAnswer: -1537760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39, -0.6, -0.3, 47?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**0*l*l)\/l**3*l**9*l*((l\/((l*(l*(l\/l**(-1))\/l*l)\/l)\/l))\/l)\/l)\/((l**0*l)**(-2\/9)*l**(2\/7)*l**(3\/11)) assuming l is positive.\nAnswer: l**(5311\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1473 - 1472. Which is bigger: r or 9\/31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w + 1. Let a be m(1). Let c be a\/(-6) + (-4)\/6. Let h be 640002\/(-1) + c - -1. Round h to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1023868 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**47*t))**(-8\/5)\/(t*(t*t\/(t\/(t\/(t*t*t**(-19)*t))))\/t*t)**(-21) assuming t is positive.\nAnswer: t**(2371\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 17*j + 713. Let h be m(0). Calculate the greatest common divisor of 31 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 1 - w + 1\/3*w**3 - w**4 + 1\/2*w**2. Let s(b) = b**3 + 2*b**2 + 1. Let p be s(-2). What is q(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 0)\/((-9)\/6) + 0. Which is the smallest value? (a) -0.3 (b) 5 (c) g (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 + 8*u + 10. Let p = 2 + -9. What is the units digit of v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose 0 = -w*m + m - v + 7, -3*v = -15. Let g be (m\/(-6))\/((-6)\/(-3)). Sort -2, g, -2\/19 in descending order.\nAnswer: g, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 31*r**3 - r**2 + 1. Let a = 86 - 83. Suppose 0 = 4*n - 5 - a. What is the hundreds digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, c: 5}. What is prob of sequence cx?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48615, -48613, -48611?\n\"Answer: 2*k - 48617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129836621 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*v - 1, 0 = -3*r + 2*v - 7*v + 49. Suppose 4*z = r*z - 28. Differentiate 4*d - 4*d - z*d - 2 wrt d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114731 and 3751?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 1, h: 1, n: 1, e: 1, j: 1}. What is prob of sequence hsjy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l)*(-1363*l - 5164*l + 1541*l - 5 + 18041*l + 2).\nAnswer: -26110*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 7 = 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 200, 301?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x + 131*x + 154 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59872 divided by -32.\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 19 = -30*z + 25*z, -2*o + 3*z + 11 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 460\/(-6) - (-14)\/21. Let t = m + 81. Suppose z + 4*z - t = 0. Solve -3*h - 10 = -z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88631 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644546948 and 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34042 is divided by 227.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -n + u + u, -3*n = -3*u + 156. Let q = 36 - n. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**2 - 36*h - 25. Let q(m) be the second derivative of m**4\/4 + 3*m**3 + 6*m**2 - m. Let w(g) = -2*k(g) - 5*q(g). Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204541289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 7*l**4\/2 - 9*l**2 - 19. What is the second derivative of u(c) wrt c?\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 624448314 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.27 * 19136.8.\nAnswer: 368766.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1138342, -2\/7.\nAnswer: -2\/7, -1\/4, 1138342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*i + 279*i - 4*i**2 + 2 - 138*i as l + k*i**2 + h*i and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -436813 + -36?\nAnswer: -436849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-5) + 4\/20. Let m = -3 + x. Find the third derivative of -m*k**2 + 3*k**2 + 0*k**2 + 2*k**3 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110101 (base 2) to base 3.\nAnswer: -1010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224655?\nAnswer: 5, 31, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + v + 3703 - 3680, 2*v + 66 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.140806 + -115.941806. Let g = t - -116. Let j = g - -12.701. Round j to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, y: 3}. Give prob of sequence yh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8255489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j*l**2*n**2*q + j*l**2*q + 2*j*l*n**3 - 93*j*l + 2*j*n**3 + 2*j*n**2 - 14*l**2*n**3 - l*n**3*q wrt l?\nAnswer: -12*j*n**2*q + 2*j*q - 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 36789*g - 147160. Calculate i(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 10*r**2 + 25*r - 10. List the prime factors of m(11).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (-2 - 31)*2\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 444, 453, 462, 471, 480, 489?\n\"Answer: 9*y + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -4*c - 0, -3*y = 5*c + 10. Suppose -m = 5*p + 18, -p - 2*p - 9 = y. Let x be -8 + (-582)\/(-54) - 5. Is m greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 10, g: 4, a: 1}. Give prob of picking 1 j and 1 u.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/1)\/((-14)\/21). Suppose -q*t + 3 = -6. Calculate the lowest common multiple of 1 and (-3)\/(-9) + 14\/t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5844 - -5842. Sort -4, h, 30 in increasing order.\nAnswer: -4, h, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 2*d**2 + 4*d - 3. Let m be b(2). Suppose 2*i = -x + 7*i + 3, m*x - 15 = -5*i. Put -3, 0.5, x in increasing order.\nAnswer: -3, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vckjvjccjjjkccjjj. What is prob of sequence vj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*m + 42 = 91*m - 2854 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 - -2)) + 43 + -44 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 1\/58 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -35. Let y = 1.2 + -1.28. Let i = -0.02 + y. Which is the nearest to -2? (a) -3 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 8*o. Suppose 0 = 4*w - 2*w. Suppose w = q - 3 - o. Which is greater: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6432 and 348132.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 6. Let b be -4*(-3 - (-2)\/1). Let h(r) = -7*r - 13. Determine b*h(i) + 9*u(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 15*x**3 - x**2 - 9*x + 95*x**3 - 104*x**3 as c*x**2 + v + j*x**3 + l*x and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c. Let v be -13 - 2 - (c - 3). Is 236\/6*v\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-54)\/144)\/(3\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3465444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1584, 1547, 1522, 1515, 1532?\n\"Answer: o**3 - 44*o + 1627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -5*x - 54. What is the greatest common factor of x and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1756*o + 1373. What is the thousands digit of x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkk. What is prob of picking 1 k and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Let i(h) = 2*h**3 + 3*h**2 - 5*h - 5. Let r be i(-2). Suppose z = 3*l - r, -2*l - l + 4*z = -4. Sort -15\/2, l, q in increasing order.\nAnswer: -15\/2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 2392 = v + 13*v + 29*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 - 2 - -3. Let n(f) = -4*f**2 - 9*f - 4. Let o be n(p). Round o to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose 2*m + 0 = l. Suppose o = -m*o. Solve -i + o = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 41*q**3 - 3365*q**2 + 238*q + 750. Give u(82).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b - 22?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 26217?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*k - 3574*k - 249165 = -570*k + 1815*k for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1161 and -139\/96?\nAnswer: 37152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5939 + -5875. What is the remainder when x is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d - 3. What is the units digit of i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 228 = -220. Let u be (-4 + 15\/5)\/(-47). Let b = -52\/235 + u. What is the closest to b in 1, x, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j + 63*j = 4*a - 28, -3*a = -5*j - 31 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 4*s**2 - 3*s - 14. Let r be (65\/10 - 4)*2. Let q be c(r). Let b be 8 + 3\/(q - -7). Solve 4*i - i - b = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4867, 21873, 50221, 89911, 140943, 203317, 277033?\nAnswer: 362091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -1. Is m not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -278*z + 111. What are the prime factors of t(-5)?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19074911\/1331713110 - -3\/268870. Find the common denominator of -49\/10 and u.\nAnswer: 49530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + o)*(6*o**4 + o**4 - 3*o**4) + o**5 + 0*o**5 + 8*o**5 + (0*o - 2*o**2 + 0*o)*(6*o**3 + 9 - 9).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-18)*z)\/z)**(-2\/5)\/(z\/(z\/(z\/z**(1\/43)))*z*(z*z**(-23))\/z*z))**(-6\/13) assuming z is positive.\nAnswer: z**(-35118\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -21, -2, -2\/9, -3, 36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v - 1. Let j(u) = -u**2 + 30*u - 57. Let l = 112 - 84. Let f be j(l). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(27\/(-18) + (-2)\/(-4)). Let o(h) = -h - 127 + 130 + a*h. Let c(s) = -2*s. Let j be c(3). Calculate o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*c**3 + 482*c**3 + 427*c**3.\nAnswer: 779*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 22*m + 25 = -2*j, -35 = -4*m + 3*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4759*h**2*i**3 + 17*h**2 + h*i**2 + h - 4*i**3 - 774 wrt h?\nAnswer: -9518*i**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 + 32*b**2 + 20*b - 38. Calculate f(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 91*l**2 - 903*l + 19. Let u be o(9). What is the closest to -3\/4 in u, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 159*s - 759. What is g(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 500711 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/11606 - -71704\/17409. Find the common denominator of (19\/(-2))\/((-11)\/3) and q.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*f = 4*p + 78*f, -2*p = 2*p + 3*f - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyb when four letters picked without replacement from byyyyyyyyyyyyyyyyy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1145 + 13?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - ((-2*sqrt(99) - sqrt(99)) + 2))*1 + -5.\nAnswer: -7 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1282809780.2000549 - -1282809724. Let w = -56.2 - j. Round w to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1 - 84\/(-82)). Let d = n - 42. Let j = -2 + 16. What is the remainder when d is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/82831 less than 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*(-177)\/((-23364)\/(-176)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.48 (b) -1 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/3 + (-910)\/(-91) - (-104)\/3. Solve -4*u = -m + 7, -3*u - 21*m - o = -16*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13221120221 + 13?\nAnswer: 13221120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-2 + -7) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9 - -3. Let p = -11 + z. Let x = p + 6.1. Is x > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c770 + 5?\nAnswer: -2c769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 53 = 11*v, -3*i + 337*v - 336*v = -43 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x + 6. Let n be i(-4). Let c be (1\/n)\/(3\/(-36)). Suppose 0*b + c*b = 396. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = -4*z - 33, -4*z - 13 = -o. Suppose 5*d - 1 = o*s + 9, 0 = 4*s + 4*d - 32. What is a in 3*a**2 - 3*a**2 + s*a**2 + a - 2 = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*302\/(-2310) - (20 - (-5184)\/(-264)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 48. Let v(o) = 4*o**2 + 162. Let x(f) = 2*v(f) - 7*w(f). Let y(i) = -i**2. What is x(y(n))?\nAnswer: n**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -905, -1810, -2709, -3602?\n\"Answer: 3*c**2 - 914*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367355?\nAnswer: 5, 73471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.5. Let g = -0.2 - m. Suppose 0 = 11*s - 7*s - 20. Which is the second biggest value? (a) -5 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-552)\/(-9))\/46 + 586\/6. What is the highest common divisor of 121 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -0.16, 0.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28620209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 7}. What is prob of picking 3 a?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*g = 163 + 97, -4*q + 1058 = 3*g. What is the remainder when 547 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-40) - ((-5)\/100*5 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69546687 times -0.5?\nAnswer: -34773343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284.5 - 284. Which is the second biggest value? (a) -5 (b) -4 (c) i (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - w - 20 = -8*n, -30 = -5*n + 3*w. Solve 2*a - s - 6 = 0, -5 = -n*a - 4*s + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -270 (b) 2\/5 (c) -7 (d) 4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 + -4)\/1) + 42\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209 and 2525328?\nAnswer: 27778608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -148392232 divided by -4?\nAnswer: 37098058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 151.1779 * 19\nAnswer: 2872.3801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/7 - 225*w**2\/7 + 1432*w\/7 + 372\/7.\nAnswer: -(w - 6)*(w + 62)*(4*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*k + 34, 0*v - 70 = 3*v + 4*k. Let d be 9*3\/v*-2. Solve -d*o + x - 4 = -o, -12 = -2*o + 5*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 4*u + 3. Let t be s(4). Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-117)*2\/(-5)*(-50172)\/904.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1744245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 95163*f + 111100?\nAnswer: 95163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54285305.\nAnswer: 5, 10857061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 + -10. Let f = i + -176. Which is the nearest to -13? (a) -5 (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/5 + 5*i**4 - 50*i**3 + 250*i**2 + 11*i + 9. Factor m(r).\nAnswer: -4*(r - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2217, -2\/11, 2, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*z = -5*z + 396. Solve 0 = 6*i + 5*i + z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.137488 and 0.52.\nAnswer: 2.15149376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -5 (c) 25 (d) 4 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + (sqrt(4) - sqrt(16)\/sqrt(4))\/sqrt(2))*-1*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(((d*d*d**18*d*d*d*d)\/d)\/d)\/d)\/d**7)**(-1\/26) assuming d is positive.\nAnswer: d**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6635.56036 to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273743 + 1263303 = -261*p for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 10102)*(-36)\/(-72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -59, -2, 107, 286, 553?\n\"Answer: 3*w**3 - w**2 + 5*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 85 = 5*l, -l + 51 = 2*l + 2*b. Calculate the remainder when 67 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -3*s**2 + 0*s - 2\/3*s**3 - 1\/24*s**4 + 1\/30*s**5 + 0. Let i be o(2). Solve -4*n + 4*w - 12 = 0, -3*n - i*w - 9 = 2*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -1521?\nAnswer: 1521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*y + 20 - 2, 2*i = -5*y + 29. Solve 4*q + 3*v = y, -3*q + 0*v - 9 = -2*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(12)\/(-2*sqrt(6)) + sqrt(2) + sqrt(2) + 1 + -1 + 3)**2 + 5.\nAnswer: -27*sqrt(2) - 71\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 13*p + 12. Let z be h(13). Suppose 11*i = z*i + 3. Let f(j) = j**2 - j - 11. Let c be f(i). Solve 4*q + c + 11 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142597 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307\/14 - (44 + -41)\/(-42).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (142\/(-426) - (-1731)\/63)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -41.779.\nAnswer: -41.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 5, l: 4}. Give prob of picking 1 f and 2 l.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 423 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -331.22 - -1.22. Let c = -222 - z. Let b = c - 108.0000059. What is b rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136578479483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 - 125. Let k be ((-13)\/26)\/((-322)\/(-324) - f). Let d = -37 + k. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546478 to the power of 1\/2, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let d(p) = -p**3 + 7*p**2 + 7*p + 9. Let a be d(8). Let s(r) = -2*r**2 + 1 - a + 9*r**2. Calculate c(s(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 29*u + 38*u - 71*u - 114 + 114. Let q(v) = -104*v. What is q(z(d))?\nAnswer: 416*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 342006737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 51 in descending order.\nAnswer: 51, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 296*d**2 + 0*d - 242*d**2 as m*d + r*d**2 + t and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -122. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1931)\/(-630) + 6\/(-27). Let v = -65\/14 + i. Let w be (2 - 0) + -1 - 2. Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13013884 divided by 4?\nAnswer: -3253471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 12*u**2 + 11*u - 18. Let s be w(-13). Suppose -4*z - 43 = -163. Suppose z = s*b - 3*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 11. Let k(a) = a**2 + 7*a - 1. Let d be k(-5). Calculate r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/15 and 62\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*t - 29 = -3*d + 183*t - 118, -4*d + 68 = -5*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1067889*v*w + 135550*v + 2 with respect to w.\nAnswer: -1067889*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 183*f**3 - 57. Let i(d) = -184*d**3 + 59. Let p(w) = -2*i(w) - 3*t(w). Find the first derivative of p(b) wrt b.\nAnswer: -543*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 0 + 0*g**3 - 2*g**2 + 2. Let j(p) = p**3 - 3*p**2 - 2*p - 5. Let s be j(4). Let z be w(s). What is the highest common factor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:02 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + x + 3. Let z be p(0). Let s = -234\/7 + 258\/7. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*p**3 + p + 131*p**3 - 63*p**3 + 3*p**4 as f*p**2 + r*p**3 + t + b*p**4 + j*p and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -t - 32*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/12 and 139\/15950?\nAnswer: 95700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 404\/64953 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 276, 2, -353, -2 in descending order.\nAnswer: 276, 2, -1, -2, -5, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 + 4*a + 4. Let w(o) = -2*o**3 - 3*o - 3. Let d be 4 - ((-5)\/(-1) - -3). Determine d*w(c) - 3*l(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -55. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*o - 3109, -6*i + 3*o + 18759 = -0*o. What are the prime factors of i?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 + 2 = 0. Let p = -2 - o. Put p, -4, 0 in ascending order.\nAnswer: -4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -300 * 0.018.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 15*f = -135 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {w: 4, g: 1, d: 2, o: 4, p: 8, m: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.6. Let j = 2.2 - 2. Does j = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x. Let m(v) = -6*v**2 + 56464*v - 56464*v. Give m(i(k)).\nAnswer: -384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 398154961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7529646l?\nAnswer: 752.9646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 438*t**2 + 12*t + 12. Let u be i(-1). Let q = -378 + u. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1520 divided by -90.\nAnswer: -152\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-11))\/((-75)\/(-1650))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51a (base 11) to base 10.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/45 and 2\/15 + (-51)\/(-510)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 946 - 959 - 2*a - 3*a**4 + 38*a**4 wrt a?\nAnswer: 140*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 592*y - 40. Let l(t) = 198*t - 14. Give 17*l(k) - 6*u(k).\nAnswer: -186*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2635067316 and -2.\nAnswer: 5270134632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l + 43*l - 40 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4374 and 773064?\nAnswer: 20872728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.20298.\nAnswer: -1.42086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 + j - 6. Let o be s(0). Which is the nearest to o? (a) -3 (b) 5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 849355?\nAnswer: 1698710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g = 230. Let b = -46 - g. Suppose z + z - 130 = b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*u**2 - 218 + 218.\nAnswer: 146*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 + -60. Suppose 3*c + 5*j + 5 = 2*c, -10 = 5*j. Suppose 36 = -c*h + m. Solve -5*a - 4*q - 3 = 0, a - 4 = -h*q + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*g - 4. Suppose -z + 8 = 5*q, -q = -4*z + 4*q + 7. Let v = 0 + z. Sort v, g, -1 in descending order.\nAnswer: g, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 6.1. Let k = 0.5 + v. Let d = -3.8 + k. Which is the biggest value? (a) d (b) -1 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - 7*x**2 - 4 + 13 + (-2*x - 1 + 1)*(2*x - 5*x + 4*x) to the form g + o*x + d*x**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1423 (base 5) to base 7\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -16 - -13) + 4 + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**4 + 15*p**2 - 5*p - 5. Let n(v) = 9*v**4 - 14*v**2 + 4*v + 5. Let d(w) = -4*c(w) - 5*n(w). Factor d(m).\nAnswer: -5*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(35\/25)*11*(-27)\/(-891)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 3390354.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 649088 + 94912. Round l to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 179*(-3 + 2) - (-1 - 4). Suppose 0 = -p + 101 + 552. Let s = p + n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 - i**5\/12 - 5*i**4\/24 - i**3\/2 - i**2. Let t be b(6). Factor -3*l**3 - 3*l**3 + 5*l**t + l**4.\nAnswer: l**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 163*n - 1323. What is m(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 - 134*n - 5*n**2 + 51*n - 85 - 162*n to the form h*n**2 + k*n + g and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 - 3 = 0. Let m = -5 + 3. Sort m, s, 2 in descending order.\nAnswer: 2, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*i = -12, 5*t + 0*i = 4*i + 2. Let r be (2 - (-1 - t)) + -1. Let k be 3\/(-4) + 7\/r. Do 1 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -697.5277 rounded to 0 decimal places?\nAnswer: -698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177267 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.4 + -68. What is the third smallest value in i, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 8. Let p be n(5). Put 0, p, 2 in decreasing order.\nAnswer: p, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4\/3 (c) -45\/7 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 16 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -15. Suppose 0 = -l*g - 0*g + 4. Let 0*p**3 - 3*p**3 + g*p**3 + 0*p**3 + 4 - 3*p**2 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232762, 232776, 232800, 232834?\nAnswer: 232878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 19946862893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2763 and -28.1885 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 27*r + 10 = 65. Which is bigger: r or 48\/41?\nAnswer: 48\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 15 (b) -0.3 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*q + 1406*q = 49 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.31329636721+-468\nAnswer: -467.68670363279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1145\/458)\/((-2)\/(-4)))\/((-15)\/(-54)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 16) to base 8.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542618?\nAnswer: 2, 3, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5033 times -3?\nAnswer: 22.5099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 144626712 times 2\nAnswer: 289253424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a factor of 1939926527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -36*w + 129. Let a(h) = 44*h - 130. Give -5*a(t) - 6*l(t).\nAnswer: -4*t - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (-3*sqrt(462))\/sqrt(11) - sqrt(126)\/sqrt(3)*5)\/(-2*1*sqrt(486)*6).\nAnswer: sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(3\/2)*s**(1\/10))\/((s\/(s\/s**0))\/(s**(-7)\/s)))**(2\/57))**(1\/31) assuming s is positive.\nAnswer: s**(-64\/8835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.308803 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Suppose q*a - 27 = -3*g, 2*g + 3*g - 3*a = 69. Suppose 5*i - 2*m - 300 = 0, -2*m = 3*m. Calculate the greatest common factor of i and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -151, -162, -185, -226, -291?\n\"Answer: -q**3 - 4*q - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-16))\/(4 + -1). Let s = 94 + -84. Let g be (8 - 13) + (22\/s - -3). What is the closest to z in -1\/3, -5, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 70*q = -65*q + 50, 4*o = -q - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384310 greater than or equal to 1384309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**4\/4 - 9*d**3\/2 + 31*d**2. Let i(c) = -12*c + 54. Let s(z) = 2*i(z) + 5*v(z). What is the units digit of s(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g - 1. Suppose -25*x - 2 = -23*x. Let b(o) = 4*o**3 - 8*o + 4. Calculate x*b(r) - 5*p(r).\nAnswer: r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 93*c - 2. Calculate w(-1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201222 - -2?\nAnswer: 1202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11862.3 and -0.2.\nAnswer: 2372.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (6 + -5 + 2)) + 13 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q = 2. What is the remainder when 16\/(-32)*(q + -49) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxxjjjxjjxxxxjj. Give prob of picking 2 x.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:20 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1283? (a) 81 (b) -4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 3*z - 27*z**3 + 64*z**3 - 4*z**3 + 47*z**3 - 8*z.\nAnswer: 80*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3970 + 2633 - 2155 = 556*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-27)*(-4)\/42?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5842 is divided by 5465.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 164*o**2 + 103*o - 284. What is p(3)?\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 144*w**3 - w**2 - 2*w. Suppose -4*v + 12 = -4*s, -s = 5*v - 0*v - 9. List the prime factors of i(v).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsgtgggstg. What is prob of sequence gtsg?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135797 + -2735?\nAnswer: -138532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) -13 (c) -0.3 (d) 3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 178 in -431, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 2*r)*(0 - 4 + 2)*(1 - 4 - 6)*(r + 0 + 0)*(-3*r - 41*r**2 + 39*r**2 + 22*r).\nAnswer: -36*r**4 + 342*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13583346 is divided by 6021?\nAnswer: 5991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4264.28297 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 137*y = 11*y - 3000784. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209965, -209974, -209989, -210010, -210037, -210070?\nAnswer: -210109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s - 777*s = 5864 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*(-1)\/((-9)\/(-6)). What is the greatest common divisor of z and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -669387, -2677819, -6025207, -10711551, -16736851?\n\"Answer: -669478*c**2 + 2*c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 7*y**2 + 6*y - 6. Let t be s(6). What is the common denominator of -9\/10 and (452\/t)\/(7 - 3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77.1194 + 24.\nAnswer: -53.1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253075 (base 9) to base 15.\nAnswer: -305a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fro when three letters picked without replacement from ropmf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130275 (base 11) in base 7?\nAnswer: 115656066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4110, 5, 4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316149 divided by 1.\nAnswer: -316149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -5. What is the common denominator of -111\/22 and (-4)\/v*59\/7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206078b (base 12) in base 6?\nAnswer: -334405055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) + (-11)\/(-2). Let n(a) = -2*a**2 + 5*a - 6. Suppose 0*v - 35 = -3*v - 4*u, -u = -v. Let b(l) = -v*l + 1 + 0*l + 4*l. Calculate j*b(t) + n(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0 + 70*c**2 - 7\/60*c**5 + 0*c**4 + 0*c**3 + 0*c. Let d(q) = 16*q**2. Give d(g(f)).\nAnswer: 784*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, 27, 98, 197, 324, 479, 662?\n\"Answer: 14*w**2 + w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 280794*l. Let m(i) = i. Calculate m(u(p)).\nAnswer: 280794*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 48*b - 13. Let s(y) = -y. Give s(o(c)).\nAnswer: -48*c + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9120\/418 + (-3)\/((-66)\/4). Suppose -18*l = -t*l - 140000. What is l rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 25*k**2 + 44*k - 26. Let c be y(14). Find w such that w + 2\/5 + 1\/5*w**3 + 4\/5*w**c = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*p = -61 + 535, 434 = x + 3*p. Let j = 750 - x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*c**2 - 40 + 28*c**4 - 242*c**2 - 54*c + 76*c**3 + 138*c + 128*c.\nAnswer: 4*(c - 1)**2*(c + 5)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 22*l**2 - 9862*l - 1498. Give n(89).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 18 = -4*q + 23*c, -4*q = -2*c + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**4 + 0*h**4 + h**4 + (-122 + 122 - 77*h**2)*(-h**2 + h**2 + h**2) + 3 - 3 + h**4 in the form f*h**3 + p*h**4 + x + r*h + d*h**2 and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 + -123109?\nAnswer: -122307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*v**5 - v**4 + 659*v**2 + 66850*v - 2 wrt v.\nAnswer: -1500*v**3 - 12*v**2 + 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 30. Suppose -j - t = 2*j - 8, 5*j + 5*t - l = 0. Is 1\/(j\/(-57)*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52381*j**6 - 26*j**3 + 72*j**2 + 22*j + 170 wrt j.\nAnswer: -6285720*j**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 4 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 9*q + 6*q, 0 = 4*u - 2*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9129192 or -9129167?\nAnswer: -9129167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7816*v + 20528 = 2615*v - 146243 - 46470 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, n: 2, j: 1}. What is prob of sequence nb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 bigger than -0.2458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86.5 - 44. Let g = -276 - -319. Let p = g - v. What is the smallest value in p, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5623+4628.66\nAnswer: 4628.0977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/8))**(-46))**19 assuming t is positive.\nAnswer: t**(437\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 7*q**3 - 2*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z + 6 = -2*c, 4*z - c - 3 = 0. Suppose -v = -1 - z. Let a be (v*(-5 + 1))\/2. Put 4, -3, a in decreasing order.\nAnswer: 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2110*k + 36117 + 11428 = -88917 + 24632 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1664, 1662, 1648, 1616, 1560, 1474, 1352, 1188?\n\"Answer: -j**3 + 5*j + 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 1, y: 5, b: 3, u: 6}. Give prob of picking 1 a and 1 y.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + -5*(-20)\/25. Suppose 0 = -s*b + 16*b - 2*y, 2*y = -3*b + 15. Solve -3 = -3*j, -b - 1 = 2*t - 2*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 4*a. Let p be c(-6). Let b = p - -16. Suppose -2*g + b*g + 4 = 2*n, 5*g - 25 = -2*n. What is the lowest common multiple of 8 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-7) + 6\/(-21). Put s, 2, -3 in descending order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 2*w = 24, 0 = -3*l - 4*w + 22. Suppose -5*o = 5*a - 2*a - 93, l = o - 4*a. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(24)\/sqrt(8) + sqrt(3) - (sqrt(3) + sqrt(27)\/(sqrt(9) + sqrt(9)*4))) + (-1*sqrt(108) - (sqrt(3) + 3*sqrt(75) - sqrt(3))))**2.\nAnswer: -404*sqrt(3)\/5 + 30703\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 261140621 rounded to the nearest 1000000?\nAnswer: 261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -12711263.96 to the nearest ten thousand.\nAnswer: -12710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 304 times 0.3\nAnswer: 91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32700.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -699, -654, -581, -474, -327, -134, 111?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -117. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 387, 773, 1157, 1539, 1919, 2297, 2673?\n\"Answer: -w**2 + 389*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 75 - 15. Suppose -2*i = -5*n - 23, 2 - 70 = -2*i - 4*n. Calculate the remainder when d is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -23\/6*f**3 + 2 - 2*f + 0*f**2. Let g(d) = -4*d + 2*d + 0*d. What is g(z(t))?\nAnswer: 46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/13))**(33\/7)\/(q**(-1\/2)*(q*q\/(q\/q**17))\/q) assuming q is positive.\nAnswer: q**(-3135\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (18 - (-3 + 30)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-18)\/105)*16880\/1004360?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60*((-29274)\/(-595))\/(-123)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 638, 9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -3\/8 (c) 0.17 (d) 0.54 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 2 + 1 - 4*m**2 + 4*m**2. Suppose -2 = -2*s - 0*s. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + (sqrt(3) + sqrt(15)\/(sqrt(5)*-3))**2).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 5*f**2 - f + 6. Let c be t(5). Suppose o = -5*g + 15, -o + 0*o = -5*g + 5. Determine p so that -o*p**3 - 3 - 3*p - c - p + 13*p**2 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)\/sqrt(3) + sqrt(27) + sqrt(27))\/sqrt(3) + (sqrt(81) + 1*sqrt(81) - sqrt(81)))\/((sqrt(108) - (sqrt(108) + (sqrt(108) - 2*sqrt(108))*5))*1).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4 - 7*k + 6*k + 8*k + 3*k. Let f be 40\/50*5\/2. Let v be r(f). Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, 1.2, -2\/7, 4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:58 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 1}. What is prob of picking 2 q and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92010408*i + 3 - 92010302*i - 3.\nAnswer: 106*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3636129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -24. Let y = 1 + b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 20. Let m = b + 10. Let j = -2383\/4 + 597. What is the biggest value in m, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 936 and 1903005?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111608408 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -10\/13, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7912, -31654, -71222, -126616, -197836, -284882, -387754?\nAnswer: -506452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/229 in 0, 490, -2, 0.21, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6 (c) -7\/3 (d) 5\/86 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -112 + 56*x + 112. Let s(c) = -c. What is s(v(h))?\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let g be (58\/6)\/((-2)\/(-6)). Suppose -4*m + g = 109. Let u(v) = -v - 3. Let i(b) = 4*b + 10. Let f(y) = m*u(y) - 6*i(y). Determine h(f(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by 3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -15. Let t(p) = 0*p**3 - 4*p**2 - p**3 + p**2. Let o be t(k). Put 2, -4, o in descending order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 38. Solve -b = -3*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - w + 11 = 12 - 21, 0 = -h + w - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063.8061 rounded to 0 decimal places?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194*1*(-4)\/32*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/13)*b*b**(-1\/7))**(-1\/4) assuming b is positive.\nAnswer: b**(-44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 5. Suppose -5*d + 2*z = -10, -3*d - 1 + 7 = 4*z. Let f(b) = 982*b - 2 - 1898*b + 912*b. Calculate d*i(j) + 5*f(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-1)\/((-2)\/(-674))*-7 - 592\/(-296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 453 or 14954\/33?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -316958 (base 10) to base 4\nAnswer: -1031120132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 24 = -4*d. Suppose -5*m + 13*m = -d*m. Let k = -0.01 + 3.01. What is the closest to 2\/3 in 6\/5, m, k?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03065 + -0.03. What is j rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 + -22. Let l = -118 + y. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 48.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-10))\/((-2)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:23 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.02 - 4. Let y = p - 6.02. Let l = y - -5. Which is smaller: 0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22966 + 220423 = 39*b. What are the prime factors of b?\nAnswer: 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 5*g**2 + 2*g**2 + (6*g + 19 - 19)*(-2*g + 0*g + 0*g) as c + n*g**2 + v*g and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 - -1?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -12.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.7 + 7.6. Let j = 0.006 - -2.014. Let r = 0.02 - j. Which is the closest to x? (a) -0.3 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/65)\/(3\/(-1)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 748*d + 21692. Calculate g(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:41 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 769*w + 2295. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2487\nAnswer: 248.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 14 = -7. Suppose 4 = -d*f + 8*f. Is (-46)\/f*26\/(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107255 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/24*(2019\/(-2692))\/(5\/(120\/9))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 40*u + 45. Give k(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4965 - -4964.3. Let o = 1.5 - 1. Let j = 0.09 + -5.09. Sort j, o, a in ascending order.\nAnswer: j, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:28 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 16*s**3 + 3*s**2 + 3*s**2.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*x**2 - 18\/5*x - 19\/5.\nAnswer: (x - 19)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2\/45*t**5 + 1\/27*t**6 + 0*t - 20 + 0*t**2 - 2\/27*t**3 - 1\/18*t**4. Factor g(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129117?\nAnswer: 137, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -657.2 times -12.003?\nAnswer: 7888.3716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 15*v + 2 = 0. Solve -16 = -4*z, -2*z + 8 = -q - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -288 + 292. Which is the second biggest value? (a) -2 (b) -4 (c) p (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17740 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 3*v - 10. Determine n(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102392 or 1449?\nAnswer: 102392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -2\/5*i - 2\/15*i**3 - 2\/5*i**2 - 1. What is d in j(d) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 9*d**3 - 40*d - 3. Find the first derivative of y(j) wrt j.\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 20*j - 6 = 0. Suppose -j*c + 0 = w + 2, 3*w = -3*c - 12. Let k be (2\/4)\/(-1)*-6. Solve -f = -k*f, -5*f + c = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*r - c - 12, 4*r + 2*c = 6. Suppose 4*l - 37 + 5 = r. Suppose -10 = l*f + 6. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m**2)*(-2 + 2 + 2*m) - 33810*m + 311*m**3 + 33810*m.\nAnswer: 313*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 7*f - 2*j - 1146, -j - 1523 = -4*f. What is the highest common factor of f and 1976?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - q**2 - 3*q - 2. Let m(c) = -15*c**2 - 14*c + 11*c**2 - 7*c**2 + 23 + c**3. Let o be m(12). Calculate v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973 is divided by 495.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 159*g - 6. Let f(l) = 1113*l - 45. What is -2*f(s) + 15*i(s)?\nAnswer: 159*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m**(-7))**(-19\/3)*(m**(-1)\/m)**(1\/21)*(m*m**(1\/9))\/(m**(-5)\/m) assuming m is positive.\nAnswer: m**(2836\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7410574, 7410576, 7410578, 7410580?\nAnswer: 7410582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -109.5, -0.01?\nAnswer: -109.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coa when three letters picked without replacement from orarcrsrro.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 12*o - 50. Give f(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/18 and 74\/27825?\nAnswer: 166950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -635.5 + 651.5. Which is the closest to 0? (a) -6\/7 (b) p (c) 0.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) 1\/4 (c) -11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, d: 4, h: 2, x: 3}. What is prob of sequence hhg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1853, 1643, 1447, 1271, 1121, 1003, 923, 887?\n\"Answer: u**3 + u**2 - 220*u + 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -1.1. Let w = -4 + 9. Sort w, s, -2\/7 in ascending order.\nAnswer: -2\/7, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001554 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*z + 22 = 0, -5*z + 18 = o - z. Let f = -10 + 9. What is the biggest value in -4\/3, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + t + 1, -u = -5*t + 7. Let q(l) = 2*l - 3*l - u + 0. Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5304888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2\/5 (b) -37\/295 (c) -1\/4 (d) -1\/6 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Let y be -2175 - -6*(-2)\/(-4). Let g be y\/(-21) + (-4)\/(-7). Let f be (-2)\/3 - g\/24. Let r(l) = l + 2. Calculate f*r(s) + 8*p(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 + 229904*j**3 - 44716812*j**2 + 2155560176*j + 2200506896 = 0. What is j?\nAnswer: -1, 98, 57281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-38)\/(-57))\/(1\/15). What is the highest common divisor of s and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/14790*-30*-1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdmbgjgbg. What is prob of sequence bb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 15*t - 43. Determine h(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 564.7045 minutes?\nAnswer: 33882.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 18 - 35)*(-2 + 2*i**3 + 2) + (-2*i - 1 + 1)*(3*i**2 - 3*i**2 - 4*i**2).\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226111498 is divided by 473.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 310000. Let u = 2 - -3. Let m = u + -5. Let d be w(m). What is d rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -11*k + 170. Let o be z(15). Suppose 16*d + 4*q - 140 = 14*d, 0 = o*d + 5*q - 355. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.581 + 0.381. Which is the third biggest value? (a) -7 (b) f (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505.6036um to meters.\nAnswer: 0.0005056036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 958, 1440, 1922, 2404, 2886?\nAnswer: 3368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17701\/13 - 1360. Suppose -105*h + 16 = -101*h + 3*g, -3*g = -12. Is h at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 61 = u. Let r be -2*39\/u*-6. Let i = 97\/4 + r. Calculate the common denominator of i and 131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5 + 55*n**4 - 2838*n**3 - 15076*n**2 - 24568*n - 12384 = 0.\nAnswer: -86, -2, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 6*j**2 - 10*j - 4. Let l be i(7). Let m(c) = -5*c**3 - 25*c**2. Let r(s) = -s**3 - 4*s**2. Calculate l*r(g) + 4*m(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-286)\/(-77) - 2\/(-7). Suppose -3*n - 3*h + 12 = -2*n, -2*h = c*n - 18. What are the prime factors of (0 + (31 - -2))\/(n\/3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 69*r**3 - 3*r - 34. Let c = -141 - -149. Let n(d) = 206*d**3 - 8*d - 101. Let p(h) = c*i(h) - 3*n(h). Differentiate p(v) with respect to v.\nAnswer: -198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/2931 - 167095\/20517. Find the common denominator of s and (-7)\/9 - 1\/(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758573474 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15446 - 2114?\nAnswer: 13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*n + 8 = 0, -2*n - 1 = 3*u - 0*n. Suppose 2*o - 13 = -u. Suppose 4*k = -o*i + 86, 0 = -2*k + 3*k - 5*i - 9. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24832 - 24853 + 182*w + 49685.\nAnswer: 182*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/(10\/(-80)). Suppose 5*t + 2*i = 30, 2*i - 6 = -3*t + c. Solve -t = r + 4*y, 0 = 4*r - r - y + 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-9 - 10) + 9 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.45 + 28.45. Let p = 117.39535 - 93.3954. Let n = p - d. What is n rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 3, 0.5, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 31002100?\nAnswer: -31002104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 + 83c?\nAnswer: 88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2. Let f(v) be the first derivative of -235*v**2\/2 - v - 6093. Calculate r(f(w)).\nAnswer: -331350*w**2 - 2820*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 312?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**4 - 786*x**2 + 5472*x?\nAnswer: 36*x**2 - 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 108*r - 376 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*3 - (-2062)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*b = -8, -2*b = 3*p - 0 - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 1. Let a be t(-4). Suppose a*h + 2*d + 11 = 4, -2*h = -2*d. Which is greater: h or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552364.\nAnswer: 2, 17, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(100) - -5*(sqrt(100)*-1 - sqrt(100))) + sqrt(100))\/sqrt(10))\/((2*sqrt(10)*5)\/sqrt(2)).\nAnswer: 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, u: 2, d: 5}. Give prob of sequence udu.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let i be (-14)\/(-4) - (-1)\/(-2). Let j(z) = -3 - 2*z + 3 + i*z. What is j(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1125 - -971 - (-1 + -86)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -16\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 29. Let q be (43 + -1)\/(-6 - (-8 - j)). Is -43 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.1 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 - p + 0*p - 2 - 7*p. Let l(r) = -r + 4. Let t(y) = 1. Let i(a) = l(a) - 4*t(a). What is i(w(o))?\nAnswer: 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112329593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (2 + sqrt(320)) - sqrt(320))**2*6 + (sqrt(320) + 1*sqrt(320))**2 + 2.\nAnswer: 192*sqrt(5) + 3226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:56 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 57, 71, 2 in descending order.\nAnswer: 71, 57, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.102 - 0.102. Let w = -1345 + 1304.32. Let v = w + g. What is v rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.020001103 + 25.02. What is p rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2984 + 4345. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -331 + 331. Is (f + 3)\/((-3)\/(-10847)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26604*p - 97 - p**2 - 45 + 142.\nAnswer: -p**2 + 26604*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 21*x - 6. Let n be k(10). Is -4 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103288703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192*k**6 - 279423*k**5 - 216001*k**2 + 59 wrt k?\nAnswer: -23040*k**3 - 16765380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*f = 1, 0 = 4*y + 3*f + 2*f + 7. Suppose 9 = -y*n - 13. Let z = n + 28. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -24. Which is greater: f or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 2*k, -510*k + 56 = -10*b - 512*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -209570 rounded to the nearest one thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.98699um in centimeters?\nAnswer: 0.000898699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.98 and -0.2.\nAnswer: 1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3223 and 2900447?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*i - 3*d, 12*i = 16*i + d + 28 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1025*c*i**2 - 277*c*i - 24612*c - 13*i**2 + 41 wrt i?\nAnswer: -2050*c*i - 277*c - 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 1008.\nAnswer: 41328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(1100) + (sqrt(1100) + 1)*-1))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - h - 6, 2*h = 5*z + 7*h + 5. Let t be z\/(-5) - (-4)\/20. Suppose -3*a + 3*w + 30 = t, w = -w - 10. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.5, -5, -30103?\nAnswer: -30103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53635, 214481, 482559, 857869, 1340411?\n\"Answer: 53616*t**2 - 2*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-6)\/2))\/(-9*53\/((-9063)\/152))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**2\/2 + 13*h + 40. Let o be g(5). Solve -3*x + o = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d*t*v - 15*d*t - 2*d*v + 4*t*v - 916*t - 11*v wrt v.\nAnswer: 3*d*t - 2*d + 4*t - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13949360 divided by -5.\nAnswer: -2789872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13b13 - 9?\nAnswer: 13b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - v = 5*h + 12, h + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = 3*k. Let f = 11 + k. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:55 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -104 + (-11 - -37) + -3?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23903818 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -5\/2, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z + 1. Let f be m(1). Let k = -1 - f. Suppose 4*q - 1 = 27. Calculate the highest common factor of k and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 + q - 2. Let j be o(-2). Solve j*i + 8 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83477788 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 8*l**2 + 9*l + 2. Let b be h(-9). Let p(w) = 25*w - 11 + 3 - 1. Let k(r) = 6*r - 2. What is b*p(x) - 9*k(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -l - 9 - 2, 5*w + 34 = l. Which is greater: l or 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18 - (-2 - (1 - 1)). What is the common denominator of 6\/(-8)*(-83)\/(-15) and (-1)\/4 + 162\/p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:25 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59671*q**6 - 14*q**2 + 2*q - 633 wrt q?\nAnswer: 7160520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/11 - 60*o**3\/11 - 634*o**2\/11 - 2784*o\/11 - 4320\/11 = 0.\nAnswer: -12, -9, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -167. Is (214 - x)*(-12)\/(300\/(-305)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15320 - -15316. Which is the third biggest value? (a) -4\/13 (b) -24 (c) x (d) -6\/11 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckxxyccqcxcxxecx. Give prob of sequence eq.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 167*l + 2173. List the prime factors of q(-112).\nAnswer: 3, 5, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 2 + 27*k + 12*k - 55*k.\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7045 - 66773 = 4101*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -17. Let r be 165\/44 - v\/4. Solve r = -0*a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**2*k**3*u - 5*d**2*k**3 + 6*d**2 - 2*d*k**2 + 2*u wrt k?\nAnswer: -54*d**2*u - 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79973 is divided by 8539.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 160?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 515?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.1 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11169 - -11168.986634. What is k rounded to four dps?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000248032 rounded to six dps?\nAnswer: 0.000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.3. Let k be -5 + -2 - -17*605\/1870. What is the third smallest value in k, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(9\/5))*t)\/t)**(-21))**(2\/75) assuming t is positive.\nAnswer: t**(126\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 408.18 (b) -3 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 - 4 = 0. List the prime factors of (186\/(-9))\/(0 + o\/15).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r + 8 + 6*r - 2 - 19*r. Let t be m(2). Suppose l = -2*j - 2*l + 428, -8 = -t*l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 25949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x - 13*x + 6*x as p + f*x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353750 or 0.0353?\nAnswer: -353750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*b - 67*b - 67*b)*(-2*b**2 + 6*b**2 - 3*b**2).\nAnswer: -278*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**7\/70 - h**6\/16 - h**5\/40 + h**4\/8 - 4*h**2. What is s in g(s) = 0?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + 2*i + 1. Let r be l(4). Suppose -4*x + 46 = -2*j, -5*x + 2*j + r = 5*j. Solve -7*a + x*a = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - 3.5. What is the nearest to 1 in l, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3\/2, -1280\/11, -21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19909 >= -3798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (3 + sqrt(425)))**2 + -2 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 3\/20*i**5 + 1\/120*i**6 + 0*i + 0 + 1\/4*i**4 - 11*i**2 + 4\/3*i**3. What is the smallest common multiple of 10 and o(-8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109204, 218411, 327618, 436825?\n\"Answer: 109207*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 5*d + 23, -5*t - 2*d = -20. Suppose -5*r + 1 = -j + 3, 5*r + 10 = 5*j. Suppose r = t*w - 4*w + 14. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:47 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 24486*t**3 + 9*t**2 + 3*t + 1. List the prime factors of s(1).\nAnswer: 24499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 2, 2\/11 in descending order.\nAnswer: 2, 2\/11, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/11)*z*z*z**(-7))\/(z*z*z**(-2)*z)**(-8) assuming z is positive.\nAnswer: z**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 175.2597 decades?\nAnswer: 1.752597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b - 11. Let s be j(-11). What is the units digit of (-4)\/(-22) - (-3680)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {r: 2, g: 4, p: 2, q: 3, o: 4, c: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30090145 or 30090144?\nAnswer: 30090144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:34 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 11:59 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9275 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -134 + 70 + 18 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 63\/526 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(720)*-2 + 0 + (sqrt(720) - (sqrt(720)*-2 + 5)) + (1*sqrt(720) - sqrt(720))*-4)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z + 25*z + 11*z. Suppose 2749 + 773 = 3*v. Let j(l) = l**2 - 1174*l + v*l. Determine o(j(t)).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 2, d: 2, r: 1, c: 1, e: 2}. Give prob of sequence erl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g = -5*q - 55*g + 13, 5*q + 2*g - 8 = 0. Solve q = f - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/120)\/((-237)\/(-474)*(-16)\/(-4))\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -30*x - 20*x. Let q = -7261\/17 + 427. What is the nearest to x in q, -2\/11, 29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45959, -45991, -46035, -46097, -46183, -46299, -46451?\n\"Answer: -d**3 - 25*d - 45933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 20 = 0, 3*u - 3 = 8*u - 2*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from wxxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 81 = v + 4*v, 0 = -r + 2. Suppose -140 = -v*j + 8*j. Suppose 0*s + 42 = 2*s. Which is greater: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*t - 162024 = -168*t + 315*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/8 + 1\/8. Let x = -196 - -192. Let g = 9\/4 - 7\/4. Which is the closest to g? (a) 1\/2 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 25, -3*y - 2*j - 30 = -8. Is -27\/7 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.57 + -7.57. What is the closest to 2 in -1\/12, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55632 (base 8) to base 3.\nAnswer: 1012011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 2*k**2 - 2*k**2 - 8*k**2 + 2.\nAnswer: -11*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18450 is divided by 1160.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**5 + 8*p**4 - 8*p**4 + 2*p**5 + 4*p**4 - 4*p**4 + (-3*p - 3*p + 5*p)*(-4*p**4 - 2*p**4 + 5*p**4).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -97\/7, 3\/41, -25?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090593619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**3 - 3*w**2 + 4*w + 5. Let j = 74 - 75. Let i be x(j). Solve -23 = -i*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53542836.\nAnswer: 2, 3, 19, 97, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:38 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -11, -5, 132, 262 in increasing order.\nAnswer: -11, -6, -5, 132, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77, -219, -425, -695?\n\"Answer: -32*s**2 - 46*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6762 by -4.\nAnswer: 3381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-21) - (-15)\/(-45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22019\/26 + 847. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*z - 10, z = -5*c + c + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -1\/2*j**2 + 5 + 0*j. Let c(z) = 2*z**2. What is a(c(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by -4*(-1)\/(5 + -4 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/10 - 751*o**2. Let a(v) = 2*v. Give a(t(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.3, -4363?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0234 times -16668?\nAnswer: 390.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -24 - (7 + 16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 43 = z, 0 = -2*l + 3*l - 4*z - 17. What is the highest common divisor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/17 (b) 6 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(12\/(-9))\/2. Suppose y = -3*s + 34, y + 4*y + w*s - 126 = 0. What is the remainder when 42 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t)\/t*(t\/t**(-7))\/t*t*t**(-3)\/t*t*t**(2\/11))\/(t\/((t\/t**(-4))\/t)*t**(2\/5)*t**(-2\/17)*t*(t**(-1\/3)*t)\/t) assuming t is positive.\nAnswer: t**(25898\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 7.\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 102*f**2. Let p(y) = 118*y. Give a(p(l)).\nAnswer: 1420248*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 - (-17 + 2) - (7 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*b + 31. What is the third derivative of 9*o**5 - 20*o**5 - 7*o**2 + 9*o**b wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(2*sqrt(192) - sqrt(192)))**2 - (sqrt(384)\/sqrt(8) + 1 + (sqrt(3) + sqrt(3) + 0 - sqrt(3) - sqrt(3)))**2.\nAnswer: -3133\/64 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6aa - -41d06?\nAnswer: 424b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p**(-1\/2))\/p)\/p)**16*(p*p**(-4\/3))\/p*p*p\/(p\/(p\/((p\/p**(3\/5))\/p))))\/(p\/p**(-5)*p**(5\/4)*p**6*(p\/(p*p\/p**2))\/p) assuming p is positive.\nAnswer: p**(-1199\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.440278008 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2)*2\/(-15)*-10. Solve 5*m - 30 = -p*o, m - 8 = 2*m - 2*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/9910 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -53.66. Let d = -0.18 - h. Let n = d + -0.56. Put n, 0.03, 0.5 in descending order.\nAnswer: 0.5, 0.03, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*s - 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4212 - -2665. Let y be 86\/(-153) - 13\/(o\/14). Put 3\/2, 1, y in decreasing order.\nAnswer: 3\/2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times -1.2?\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - p = 7*k - 10501, 10516 = 4*k + 4*p. What is the highest common factor of k and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 - 6*g + 7. Let b(x) = 3*x**2 - 2*x + 2. Calculate -14*b(y) + 4*q(y).\nAnswer: -2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3481, 6971, 10461, 13951, 17441?\nAnswer: 20931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 + 3*f + 6. Let i(q) = 9*q**2 + 6*q + 11. Suppose -m + z + 6 = -2*z, -z = 0. Let c(u) = m*i(u) - 11*h(u). Factor c(a).\nAnswer: -a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-7 + 7) - (-10 - (-19 - -25))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17389, -17644, -17899, -18154, -18409, -18664?\n\"Answer: -255*t - 17134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by 4.\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39, -179, -415, -747, -1175, -1699, -2319?\n\"Answer: -48*j**2 + 4*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b*b\/(b**42*b)*b*(b**(-8\/5)\/b)\/b**(-11\/5))**20 assuming b is positive.\nAnswer: b**(-988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16055 + -16055. Let g = -6 - -4. Put l, 6, g, 3 in ascending order.\nAnswer: g, l, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 790619*v**2. Let q(k) = k**2. Give q(i(l)).\nAnswer: 625078403161*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 8. Let b be r(-6). Let k = b - -4. Solve k*i + 21 = q + 2*q, 0 = q + i - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2299 and 6479?\nAnswer: 71269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -299?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/(-6))\/(11\/((-1221)\/(-8))). Let o = -101 - u. What is f in -o*f**2 + 3\/2 + 9\/4*f**3 - 3\/4*f**4 - 9\/4*f = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 82*p + 0 - 8 + 80*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -6)\/(-9) + 2\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -3 (b) 64 (c) -2 (d) -2\/9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 + -14)*2\/1. Which is smaller: f or 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10736 + 6*o**2 + 25*o + 10736)*(3*o + 3*o - 4*o) to l*o**2 + p*o + a*o**3 + u and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2 + 6749*a*l - 13509*l wrt a?\nAnswer: -4*a + 6749*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 7. Let t(x) = -9*x - 11. Calculate 8*h(n) - 5*t(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-10)\/24)*(-176)\/(-88)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.916 - -0.084. Let k = 0.26 - 15.26. Let v = -10 - k. Which is the smallest value? (a) 3 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123890 or -123889?\nAnswer: -123890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(21\/(-222)))\/2. Let q = l + 42. Let v be ((0 - 0)\/(q - 2))\/1. Is 3\/4 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1477)\/(-14) - 2)\/(-2 - (-15)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 107*z**2 + 1276*z + 36. Let h be j(18). Put h, 70, -1, -3 in ascending order.\nAnswer: -3, -1, h, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 12:17 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247545832?\nAnswer: 2, 19, 1628591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14539 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879242?\nAnswer: 2, 3, 313207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 3) to base 12.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*u - 27 = 0, 4*y + 9 = 3*u + 52. Suppose 0 = -3*p - 9, -5*p + y + 5 = 5*r. What is the greatest common factor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1452)\/27 - 4\/18. Suppose 5*q = p - 6*p + 15, p = 5*q + 3. What is the hundreds digit of -4 - (p - 1)*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/19)*((u\/(u**(-11)*u*u))\/u)\/u*((u**6*u)\/u)**(-1\/4))**(-33) assuming u is positive.\nAnswer: u**(-8217\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:56 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d514e (base 16) to base 4.\nAnswer: -23111011032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k = 54*k + 726. Let w = -443 + k. Let n = w + 115. Is -86 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 129 = -0*w - 53 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-7 - 39) - (2 + 19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 45. What is the lowest common multiple of z and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 2*y**5\/15 - y**4\/12 + y**3\/3 - 3*y**2 - 22. Let h(x) = 15*x**2 - 5*x + 5. Determine -2*h(a) + 5*t(a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 59 = 51*q - 47*q, 2*q - 4*j - 10 = 0. Solve -3*w + 2*c + q = 0, 2*w + 5*c - 9 = -27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -5 + sqrt(1088) + 0) - (5 + 5*(-1 + sqrt(1088) + sqrt(1088)) + (sqrt(1088) - sqrt(1088)*2)*-4)**2.\nAnswer: -213308 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*z - 89 = 0, -1075*z = -3*a - 1073*z - 51 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1922, -3, 0 in decreasing order.\nAnswer: 1922, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -0.2, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-18) - (-51)\/(-2). Let k = 93 - 63. Let b = a + k. Solve 0 = 4*h + 14 - 6, -h + 2 = b*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 11234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 6*q - 3. Let t(w) = 4*w**2 + 11*w + 5. Give 5*s(z) + 3*t(z).\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, 21, -7, 0.3, -5, 22.3 in decreasing order.\nAnswer: 22.3, 21, 3, 0.3, 2\/11, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 divided by -43.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 63 = 4*v + 55, 0 = -v + 2*a + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(480) + (sqrt(480) + -2*sqrt(480))*-5)*2)\/((sqrt(810) - (sqrt(810) - sqrt(810)*-1)) + sqrt(40)\/(-2*sqrt(4))))**2.\nAnswer: 82944\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -24. Which is the nearest to -2? (a) 0 (b) 5\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.727509*-0.12\nAnswer: -0.08730108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*j - 438*j = -3 + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-36)\/10)\/(5\/(-125) + 0) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 1367*b**5\/5 - b**3 - 23*b**2 - 918. What is the third derivative of t(a) wrt a?\nAnswer: 32808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 33*z. Let p(w) = -6*w + 1. Determine s(p(q)).\nAnswer: -198*q + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 0*v + 3*v - 1 = 0, 3*o = 2*v + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462 - 529 - 95 - 100 - 252)*(0*o - 7*o - 7*o).\nAnswer: 20132*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 205?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-163.\nAnswer: -32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -94112 divided by 4\nAnswer: -23528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 4:16 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**3 + k**3 - 4*k**3)*(-31*k + 3*k + 4*k) in the form i*k**2 + b*k**3 + f + a*k + c*k**4 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Let j be u(4). Let z be -2*(50\/4)\/j. Suppose 2*p = 5*p + 6. Put p, z, -1 in increasing order.\nAnswer: p, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 2 - (9432 + -9549)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 498 + 451 = 5*a, -2 = -a + 5*o - 85 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 16 - 41. Let k be (-40)\/j*2*(-4)\/(-16). Sort k, -1, 13.\nAnswer: -1, k, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2474780760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 190*h - 840.\nAnswer: 5*(h - 42)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 1.8. Let o = -2.68 - 26.32. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f**2 + 12*f + 3. Let h be l(3). Solve 2*b + 1 - 3 = h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1218540 and 132?\nAnswer: 13403940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93627*w + 93627*w + 52909086*w**2 - 52909083*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -66436 divided by 977\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6442 + 6441.99969775. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3 + 1 + k**3 - k**2 + 1. Let b(w) = -2*w + 4. Let v be b(0). Suppose -5*y = -4*d - 12, 3*y - 4*d = 8 + v. Give h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0 + 2 - 8*l + l**2 + 0. Let f be x(8). Let t be -7 + -3 + 11 - (-1 - (2 + -2)). Solve f = t*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (7 - 1) + -2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(2*p + 1 + 13*p**3 + 2*p - 5*p).\nAnswer: -39*p**3 + 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*(28 - 8). What is the closest to -0.2 in -2\/9, 1\/7, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 5*o - 20, -20 = -4*p - 5*o. Let h = 83\/287 - 6\/41. Which is the nearest to -3\/5? (a) p (b) h (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r - 4 = 0. Calculate the remainder when 31 - 6\/(-3)*r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-18) - 34\/12. Let j = 2 - f. Solve -g + 0*d = 5*d + 11, j*d + 15 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533*h - 175839 - 4004 = 0 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y + 0*y)*(-4 + 0 - 3)*(5*y - 2*y - y) as j*y**2 + q*y + c and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0 (c) 183 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + n**2)*(-22*n + 57*n + 90*n) - 10*n**3 - 2*n + 2*n.\nAnswer: 115*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -470*y**2 + 10*y + 5. Let r(j) = 8930*j**2 - 188*j - 94. Give -5*r(o) - 94*x(o).\nAnswer: -470*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34*(-9 + (-4 - (-50)\/4))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 40. Suppose 6*z - 3*z - q = 0. Suppose -y = 2*y - z. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 911 - 305. Suppose 0 = -13*v + 16*v - a. List the prime factors of v.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(29 - 35) + 95\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 3498*g\/5 + 11173101\/5.\nAnswer: -3*(g - 1433)*(g + 2599)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-15)\/(-6) + 3*(-10)\/120\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18582828590 rounded to the nearest 1000000?\nAnswer: -18583000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 - -2)) + (7 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/19))**10)**14 assuming q is positive.\nAnswer: q**(280\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.5, -5, -4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 12. Let r = 183 + -175. Find the common denominator of 17\/19 and (-148)\/r*o\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (-693 - -740)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2025\/(-60))\/45)\/(42\/16). What is the third smallest value in -17, -1.88, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -34, -91, -182, -313, -490, -719?\n\"Answer: -l**3 - 8*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195245186, 390490382, 585735578?\nAnswer: 780980774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 1\/2*s**8 + 0*s**6 + 0*s**2 + 40*s - 7\/2*s**4 + 0*s**3 + 0*s**7 + 0 + 0*s**5. What is the third derivative of z(a) wrt a?\nAnswer: 3360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870692 divided by 6?\nAnswer: -311782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (30 + -49 - -16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 498 + k + 4*k - 1487 + 495 + 493 - 2*k**2 - 8*k**3 in the form v*k**2 + a*k + s*k**3 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l - n = 20, -4*l - 3*n - 3 = 0. Suppose k + 3*k - 22 = -o, l*o - 2 = 4*k. Let x(z) = 4*z - 3. Determine x(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106.46 + 1.46. Let r = 104.99999938 + p. Round r to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 6946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 13*h**2 - 15*h - 5. Let g(a) = -a**2 - 7*a - 5. Calculate the remainder when v(-14) is divided by g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/13 - 39976*c**4\/13 + 265609104*c**3\/13 - 581678565876*c**2\/13 - 32901287247666*c\/13 + 218290832084412\/13 = 0. What is c?\nAnswer: -61, 6, 6681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21*(-1)\/6*1968\/28. Let n = h + -225. Calculate the highest common divisor of 336 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -228654398 to the nearest one hundred thousand.\nAnswer: -228700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*38.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7569127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 246983 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5806*z + 1785 wrt z.\nAnswer: 5806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 46031 = -5*z - 3070, 0 = 4*x + 2*z - 65468. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/66297 and -79\/20.\nAnswer: 1325940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-8)\/(-28) + (-27)\/63). Sort -3, g, 2\/3, 1\/11 in descending order.\nAnswer: 2\/3, 1\/11, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223884 is divided by 31980?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + z**2. Suppose 56*c + 436 = 58*c. Let k(s) = 106*s**2 + 111*s**2 - c*s**2. What is m(k(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*n - n + 7, 0 = 5*n + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 218*v - 39. What are the prime factors of m(4)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2, -0.5, -768, -10 in ascending order.\nAnswer: -768, -10, -2, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 14*x**2 - 40*x - 1363. Let z(y) = 5*y**2 - 14*y - 452. Give -6*t(u) + 17*z(u).\nAnswer: u**2 + 2*u + 494","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-253)\/(-363) + (-12)\/33.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3\/5, -4272, 2, 0.08 in ascending order.\nAnswer: -4272, -2\/3, -3\/5, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i - 4*t + 8, 3*i + 4*t = 13. Solve i*b = -7 + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 84021183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1464\/47, 4, 0.06 in decreasing order.\nAnswer: 1464\/47, 4, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -6*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4697507 to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.44\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*t + 3*t = -18, 5*b + 5*t = 30. Suppose 5*r = -k - 3, -b*r + 2*k = 2*r - 6. Solve 3*l + 0*l = r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 - 11*p + 9. Calculate c(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 24*n - 142. Let m be y(-11). Sort -5, m, -4, -34 in descending order.\nAnswer: m, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033219301 rounded to 7 dps?\nAnswer: 0.0003322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 64 + 875 = i, -4*d + 3*i = -831. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*18\/12*149\/(-3). Suppose 2*z + s = z + k, -5*z + 737 = s. What is the highest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t + t - 21*t**2 + t + 9*t**2 + 10*t**2. Determine f(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1035*j**2. Let q(z) = -3*z**2 - 3. Let v(l) = -4*l**2 - 6. Let x(n) = 2*q(n) - v(n). Determine x(i(d)).\nAnswer: -2142450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -483588 divided by 684?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 279*d - 279*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 - -2147361495.\nAnswer: 2147361495.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/6 + 13*c**3\/6 - 8*c**2 + c. List the prime factors of u(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and (56\/(-76))\/2*(-14)\/4.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 14. Suppose 1 = -4*g - x. Let r(d) = 33*d**2 + 2*d + 3. Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 11 = -m, -4*m + 0*h = 3*h - 74. Calculate the remainder when 185 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24682082 - 24682081.56100306. Let f = -0.439 + r. What is f rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2422 and -23\/13650.\nAnswer: 2361450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**6 + 0*d**5 + d**4 + 0 + 0*d**2 + 0*d**3 - 1\/7*d**7 - 12*d. What is the third derivative of k(r) wrt r?\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418025623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/((0 - 3)\/(-3)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100 + 24*t**5 + 3*t - 439*t**5 - 180 wrt t?\nAnswer: -8300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3158 and -144?\nAnswer: 454752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -81*k. Let c(n) = n. Determine -2*c(b) - 2*o(b).\nAnswer: 160*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrxe when four letters picked without replacement from {t: 1, e: 6, x: 3, w: 3, r: 2}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3 + 19*p + 15*p - 50*p + 20*p. Let g(d) be the first derivative of 9*d**2\/2 - 7*d - 2. Give 6*g(l) - 14*z(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111810.31 rounded to the nearest one thousand?\nAnswer: -2112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6014*c - 833*c = 321809 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i - 5*i. Suppose z + 5*g + 3 = 0, 6 = 7*z - 2*z + 4*g. Let l be z\/((-12)\/9 - -2). Solve -12 = -l*n, -i*y + y + 6 = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-9)*b)*(b**(1\/5)*b)\/b*b**(7\/4)*(b\/b**(-14))\/b)**(-12\/11) assuming b is positive.\nAnswer: b**(-1497\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -642\/7 - -92. Sort 0.01, -5, b.\nAnswer: -5, 0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 14799.\nAnswer: -73995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/5))**(12\/5)\/(c**(-9\/5)*((c\/c**(-8))\/c*c)\/c) assuming c is positive.\nAnswer: c**(-71\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88445.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103410828 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 15 - 5) + 6 + (-107 + 8 - -7).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360 - 5002?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*j + 44, 0 = j - 2*i + i - 18. Calculate the lowest common multiple of j and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104202 + 2210?\nAnswer: 111412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024506742 + 2033854.\nAnswer: 2033854.024506742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*h**4*s + h**4 - 3*h*s + s + 2 wrt h.\nAnswer: -68*h**3*s + 4*h**3 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 116 = -152 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:38 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 43*r - 48*r. Let h(m) = 2*m**2 - 6. Let z(t) = 3*t**2 - 11. Let u(y) = r*h(y) - 6*z(y). Let b(g) = -3*g**2. What is u(b(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4541 - 433?\nAnswer: 4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-40)*-5)\/(6\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 6*v - 3. Let s be x(5). Suppose s*u + f - 1 = 6*f, -3*u = 5*f - 14. Let y = 0 + u. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 20*k - 165912. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50769083*b*x**2 - x**2 + 606*x - 2752 wrt b?\nAnswer: -50769083*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6886931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448556 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jynn when four letters picked without replacement from {n: 2, j: 1, y: 1, x: 5}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g**3 + 11*g**2 - 5*g. Let p(f) = 4*f**3 - 4*f**2 + 2*f. Calculate 3*m(z) + 8*p(z).\nAnswer: -z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r + 3*f + 1577 = 0, 0 = 3*r - 4*f - 1188. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 158*o**2 - 310*o - 44. Let l be y(-77). What is the greatest common divisor of 410 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.602 + 0.062. Let a = -16.54 - c. Which is smaller: a or 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(192) + 0 - (0 + sqrt(192)*3)) + 5)**2*-5*4.\nAnswer: -16980 + 5760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1765 + 2593. Let n = 549 - z. What is the common denominator of 131\/18 and -2*(n\/(-24) + -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -217*a - 3249. What is the remainder when 449 is divided by d(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.42 and -0.2?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -67. Suppose -4*c + 133 + 47 = l. Is ((-1154)\/8)\/(-4 - c\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -145, -797, -1971, -3649, -5813?\n\"Answer: 3*a**3 - 279*a**2 + 164*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*s - 26353 + 26335, 0 = -5*s for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 3721*r**2 + 12 + 3721*r**2 - 15 + 3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 287*z**3 + 2*z**2 - 13*z + 223. Is n(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 - 3*r**3 + 4*r**3)*(-1 + 1 + 1) + 539193*r - 27 - 539193*r + 2*r**3.\nAnswer: -2*r**3 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 33. Suppose 0 = y + b + 1, -y + 5*b = -2*y - s. Let a = 2 - 0. Solve -p + a*u = 3, 0*p = -y*p - 3*u + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2 - 5*k + 15. Let q be h(6). Calculate the greatest common divisor of q and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z - 3. Let s = z - -1. Let y be 0 + 2 + 13\/(-5). Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10559 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 15*z**3 + 4*z**4 - 1135*z - z**4 + 3 - 1184*z + 2317*z as a*z**4 + q*z**3 + g*z**2 + k*z + b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 27 = 65 + 68 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000111578977 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:44 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 754 and 0.073?\nAnswer: 55.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1576 - -3?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - r - 14 = 3*h, h - 7 = 3*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -323995020+-0.06\nAnswer: -323995020.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxmxeeemmemmlme. What is prob of sequence em?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 316*g - 16142 + 16142 - 227*g.\nAnswer: -531*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4519*g + 2494*g + 2168*g + 1702*g + 3937 wrt g?\nAnswer: 1845","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -122\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 3*h = 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-15)\/7 - -2). Which is the closest to 2\/5? (a) -0.4 (b) 2\/49 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4.6. Let h = 67 + -69. Sort l, h, 0 in increasing order.\nAnswer: h, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 - 4*s + 4. Let r be f(-4). Suppose r*l - 7*l = 3*n - 12, 20 = -4*l. Calculate the remainder when 34 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -3452\nAnswer: -7\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -49. Find the common denominator of -29\/12 and (-15)\/r + 8\/(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49645, -99312, -148979, -198646, -248313?\nAnswer: -297980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 22*x**2 + 81*x - 77. Let k be o(24). Suppose g - k = -671. Calculate the remainder when g is divided by (-2)\/(-3) + 140\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 441597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26 + (-15)\/(-3) + -13. Solve 74*p - r = 130 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 107?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4788 and 6498.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 67, 119, 191, 289, 419?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p**2 - 2*p + 2. Let b(j) = j**2 + 19*j - 12. Let z(f) = -3*f + 2. Let y(h) = -b(h) - 6*z(h). Calculate d(g) - 2*y(g).\nAnswer: 18*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/3 + 19. Put -3, -16, s in decreasing order.\nAnswer: s, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 4485660*f + 5030286408900.\nAnswer: (f - 2242830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4423 - 1617. Suppose 4*w + 2*n = v, -5*w + 3214 + 286 = -5*n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -2\/5 (b) -20435 (c) -3\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 10. Find the third derivative of 3*p**6 + p**6 + 3*p**s - 3*p**6 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -36*h - 60 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttitttiitttttt. What is prob of picking 3 i?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 times -5.3098?\nAnswer: -4699.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10*a**2 - 53*a - 11. Let d be p(-5). Solve 0 = 6*h + 28 - d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h = 34*h + 13126. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.9 + -75.066. What is h rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/2)\/((-4)\/8). Let r(p) = p**3 - 4*p - 2. Let i(k) = -3*k**3 + 11*k + 6. Let d(j) = -j - 24. Let q be d(-20). Give b*r(l) + q*i(l).\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/15)\/((-3)\/(-10)). Let l(b) = 7*b**2 - 5*b - 4. Is l(i) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -29. Let d = h - 13. Which is the biggest value? (a) 0.06 (b) d (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 35471 (b) 3\/7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2881*v + 2. Let g(b) = -b. Determine i(g(j)).\nAnswer: -2881*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 34, 74, 122, 172, 218?\n\"Answer: -j**3 + 13*j**2 - 6*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3417 - 1807. Let u = m - 260821\/162. Is u smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 43.5. Let m = -8 + s. What is m rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p**3 - 4*p + 3. Let m be o(2). Let j = 245 + m. Suppose 863 = 16*t + 287. Calculate the greatest common factor of t and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1260?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let a be (1 - x)*(2 + -1). Suppose -7*q + 4*l + a = -2*q, -3*l = 12. Which is greater: q or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38429026 is divided by 80?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/5 - 77645534*y\/5 + 155291076\/5 = 0.\nAnswer: -38822769, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*j + m, -j = 3*m - 5*m - 36. Are 33 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 44. Let r = -4 - -17. Calculate the remainder when w(23) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(209) - sqrt(209)*-5*-5)\/(-6*sqrt(44)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Suppose u*t - 29 - 76 = 0. Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 12*k**4 - 14*k**3.\nAnswer: 2*k**3*(k - 7)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25410102.\nAnswer: 2, 3, 4235017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 641*k**2 + 6*k - 3. Let d(n) = 2*n - 1. Let a(q) = -6*d(q) + 2*x(q). Let c(w) = w**2. Calculate c(a(p)).\nAnswer: 1643524*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/2*u**3 - 1\/24*u**4 + 0*u - 2*u**2 + 0. Let t be g(0). Let k(s) = -2*s + 5. Let r(c) = 3*c - 9. Give t*r(n) - 5*k(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -12\/287, -2\/13, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 546 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 31 = 4*h + 146, -3*h + 2*u = 134. Let c = -37 + 111. Let n = h + c. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 7:26 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/10 + (17 - 25)\/16?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u**3 + 15*u**2 - 60*u - 19. Let p(d) = 6*d**3 - 8*d**2 + 31*d + 10. Determine 19*p(h) + 10*v(h).\nAnswer: -6*h**3 - 2*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t - 215*t - 8*t + (0 + 1 + 1)*(-t - t + 3*t).\nAnswer: -209*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 2*f**3 - 2*f + (2*f - f + 0*f)*(-f**2 + 7*f**2 + 4*f**2).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 10*o - 5. Let x be l(11). Let s = x - -11. Let j be (-8)\/s - 9\/15. Which is the third smallest value? (a) 0.07 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -10 (c) 0.048 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 664*q + 4493. What is the tens digit of c(32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60380208 divided by -1722\nAnswer: 35064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9734 + -0.026?\nAnswer: 6.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7795 - (1 - 1))*(-1 + 2). Suppose r = -7*s + 12*s. Suppose 2*p + 8 = 0, -p = z + 2*z - s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/11)\/w**2)**(-4))**(-4))**41 assuming w is positive.\nAnswer: w**(-13120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -31. Let r = d - 21. Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48502188 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 6. Let q be i(0). Find the common denominator of (2\/66)\/(398\/(-66267)) and 532\/q*(-1)\/12.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a + 58637 = -49*a + 39431 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 + 4*t**2 - 3*t. Let w be r(2). Suppose 0 = -3*n - 20 + w. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-14)\/161*-70?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7*z - 858 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = p - a, 4*p = 14*a - 11*a - 58 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 6*p**2 - 2*p + 2. Calculate s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6303)\/(-2865))\/(7\/(-175)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*y - 4*p = -640, p - 1252 = 2*y. Suppose 5*g - 1902 = -3*m + 721, -5*g - 3579 = -4*m. Let f = y + m. What are the prime factors of f?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -2*q**2 + 0 + 0*q**4 - 1\/120*q**6 + 1\/60*q**5 + 0*q + 14\/3*q**3. What is the tens digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -45*b**3 - 3*b**2\/2 + 7*b. Is c(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/6480 and 53\/30240.\nAnswer: 90720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let v = 8 - 6. Find the first derivative of v*c**2 - 1 + g*c**2 - 2 wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-22)*p*p*p\/(p*p*(p*p**(2\/9)*p)\/p*p))**(-17))**(-2\/35) assuming p is positive.\nAnswer: p**(-7106\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1974887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (-6 - (-6 + -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*l + 3 = 0, -1 = c + 3*l - 5*l. Let b be 10\/(-8)*c\/5. What is the closest to b in -3\/4, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.86123 - 0.13877. Suppose -4*u - u = 0. Let l be -2 + 4\/8*-2. What is the closest to j in l, -15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552027.634 rounded to the nearest one thousand?\nAnswer: 552000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19363, -19362, -19361, -19360?\n\"Answer: c - 19364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a factor of 5460539952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*l + 26 = 0, 0 = l + 4. Let c = w + 3. Factor -2 + c - a**2 + a + 2*a**2.\nAnswer: (a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 18*q + 2. What is k(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169684 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h*h)**(-13\/4)\/((h*h*h\/(h**(-1\/3)*h)*h)\/h**1)*(h**(1\/6)\/h*h*h**1)\/(h**(-1\/3)*h**(4\/7)) assuming h is positive.\nAnswer: h**(-391\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -815, -818, -821?\n\"Answer: -3*d - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7178\/917 - -60\/131. Let n be (-121346)\/(-20) + 2 + -3. Let j = 6072 - n. Find the common denominator of u and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -35 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Let c = 7 + m. Solve 0 = -2*i + 5*h - c, i + 7*h - 4*h - 11 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1919, -6465, -13827, -24005, -36999, -52809?\nAnswer: -71435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.08 - -1.08. What is the nearest to 3 in u, -0.1, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/35960 and -91\/64728.\nAnswer: 323640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6906448 by -2897.\nAnswer: 2384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 43*j + 19. Calculate q(-5).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3020.52*0.3.\nAnswer: 906.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 + 3*z + 2. Let m(k) = -6*k**3 - 4*k - 3. Let y be -2*4\/8*(-1 - 10). Let p be -1 - (y - 7 - (1 + 0)). What is p*h(j) - 3*m(j)?\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 614605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327405760 rounded to the nearest one hundred thousand?\nAnswer: -1327400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1\/12, -4, -1.5 in decreasing order.\nAnswer: 3, -1\/12, -1.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 6844.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2 = -11. Let d(s) = 7*s**2 - 6*s**l + 8*s + 13 + 5*s**3 - 2 - 2. List the prime factors of d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119950924 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22868.\nAnswer: 2, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 4.29, 1\/35, -2?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -20*y**2 + 17*y + 3. Let r(b) = 1. Let q(o) = 2*g(o) - 6*r(o). What is the second derivative of q(k) wrt k?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 5*(0 + -1). Let u = i + -7. Let a be 3*u - (6 - 3). Solve j + q - 25 = 6*q, 5*j - q - 5 = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*z**4 - z**3 - 86*z**2 - 8*z - 496 wrt z?\nAnswer: -216*z**2 - 6*z - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*q - 67 + 213 - 146.\nAnswer: 1024*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 2*y + 8\/3.\nAnswer: -2*(y - 1)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -5, 66.55, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -97*c - 465. Calculate r(-4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*m + 259*m + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34311 divided by -6\nAnswer: -11437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*s + 3507*s**2 - 2736*s**2 - 29*s + 10218*s**2 in the form y*s**2 + c*s + d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/5))**(-11\/3)*y**(1\/5)*y\/y**(-11) assuming y is positive.\nAnswer: y**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -24*o**2 + 36*o. Let y(l) = 49*l**2 - 90*l. Let s(b) = 5*j(b) + 2*y(b). Let x(d) = 14*d. What is s(x(v))?\nAnswer: -4312*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -89*o**3 - 31*o**2 + 39*o + 76. Determine b(-2).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*m - 5*m. Let o be ((-4)\/m)\/(6\/(-18)). Let s be (12\/(-9))\/(o\/(-30)). Solve -w = 4*c - 8, c - 4*w + 5 = -s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 8. Let d(m) = -13*m - 25. Let t(u) = 2*d(u) - 7*y(u). Let h be t(0). Suppose -702 = -h*r + 162. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 154. Let v(k) = 2*k - 153. Determine -2*j(s) + 3*v(s).\nAnswer: 2*s - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7 = 5*v - 3, -v - 6 = 3*i. Let x = i + 11. What is the second biggest value in 0.2, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 92 + 592 = -5*i, 2*n + 12 = 0. What is the closest to -2 in 1\/5, 4, 1, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.698325 and 1.548?\nAnswer: 10.246325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6929?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 - 2*u. Let n be g(-2). What is the units digit of n\/(-104) - 279\/(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-12)\/(-8))\/((-3)\/(-20)). Suppose -4*v = y - 0*y - 30, 5*v - 5 = 0. Let h = y + z. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124.68 and 0.2309.\nAnswer: 28.788612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12932091 is divided by 293911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 - g)*(-g + 0 + 0) + 683*g + 9*g**2 - 683*g)*(7*g + g - 91*g) to the form t*g**3 + k + c*g**2 + i*g and give t.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s - 6. List the prime factors of v(-11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) -5 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*h - 22 = 5*h, 3*v - 3*h - 30 = 0. What is the second derivative of -2416 - 28*p + v*p**3 + 2416 wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - t - 4 = -3*q, -9*t + 6 = -3*q - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -j - 4, 3*j = -5*o + 2*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 39. Let g(y) = -3*y. What is r(g(j))?\nAnswer: 27*j**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**1*b)**(3\/5)\/((b\/b**(2\/5))\/b)**(13\/4) assuming b is positive.\nAnswer: b**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 8. Let m(u) = -u**2 + 1. Let j(h) = -f(h) + 8*m(h). Suppose -67*q - 4 = l - 68*q, -2*q = -3*l - 9. Calculate j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 45. Solve 8*g + c = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, -4, 3 in increasing order.\nAnswer: -5, -4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433\/66*(2 - 0) + 284\/(153928\/(-7046)).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1764 = 10*p - 19*p. What is the least common multiple of p and 36?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23222, 46398, 69574, 92750?\n\"Answer: 23176*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 4*p + 2*p)*(2 + 1 - 5)*(-4*p**3 + 3*p**3 - 11 + 7).\nAnswer: 14*p**4 + 56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55352 (b) 0.18 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, 24, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3 - 19*n**2 + 358 wrt n.\nAnswer: 9*n**2 - 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/((-468)\/2002)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.519 less than -423.9905?\nAnswer: -428.5095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -22. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146885 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 64*c**3 + 16 + (-c + 2*c + 0*c)*(-c**2 - 2*c**2 + 4*c**2).\nAnswer: -63*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7240 + -6556. What is the greatest common factor of i and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 52 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {z: 3, q: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2. Let g(p) be the third derivative of p**5\/10 - 3*p**2. Suppose -3 = -3*l + 4*l. Determine l*g(y) + 5*u(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/6 + -2)*(2 - 35). Which is smaller: -14 or x?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398803 (base 10) to base 9\nAnswer: -667044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let d = 181\/855 + 1\/95. Determine i so that -2\/3*i**2 + 2\/3*i + 2\/9*i**l - d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2215, 3116, 4617, 6718?\n\"Answer: 300*c**2 + c + 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x - 130. What is h(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 8*l**3 - 3*l**3 + 68*l**2 - 68*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u - u + 6*u**2 + 13*u. Let d(j) = j - 16. Let o be d(15). What is p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4)\/k)**(2\/11))**(-15) assuming k is positive.\nAnswer: k**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 9) to base 8.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286 + 486. Is 50 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 6. Let t be c(-4). Suppose x + 10 = 2*d + t*d, 7 = 5*d - 4*x. Suppose 0 = -d*u - 4454 - 85546. Round u to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 12) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*2)\/(-26 + 19). Which is the nearest to 1? (a) 1 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763498 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 7 + (7 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 473*n + 5792*n + 5660*n - 9 as a + s*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 7*b + 7. Let n be p(7). Let c be (n\/(28\/(-8)))\/8. What is the second biggest value in 5, -1\/8, c?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22936 divided by 488?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*i + 468*i - 31 = 4*m + 2, -m = -5*i + 14 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:39 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q + 12. Let l be o(5). Calculate the remainder when (l\/(-40))\/(6\/(-345)) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 188 = -52*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/7 + 73*g**2\/7 + g\/7 - 73\/7.\nAnswer: -(g - 73)*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 - 2*b + 8. Let h(g) = -g**3 - 10*g**2 + g + 5. Let s be h(-10). Let p be n(s). Let m = p + 40. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -101\/33732.\nAnswer: 33732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 0)**2*1.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3354 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/4 + 2*l**3\/3 + l**2\/2 + l - 908. Let o(d) = -5*d + 1. Let s be o(-1). Suppose 2*f = -f - s. Give y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -7. Solve 4*n + 8 = 5*m - z, 3*n + 2*m = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -394*b**3 - 12*b**2 - 5*b. Let j be o(-8). Suppose -6*n = -3*n + j. Round n to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*i = -302*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1571)\/(-14139))\/(7\/27). Factor 60\/7 - r*t**2 - 24\/7*t.\nAnswer: -3*(t - 2)*(t + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.334 + 0.066. Let j = p - 5. Let x = 5 + -2. What is the nearest to -1 in j, x, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -30*k**2 + 4*k. Let j(h) = 818*h. Calculate j(d(x)).\nAnswer: -24540*x**2 + 3272*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47 + -37 + (-12)\/2. What is the hundreds digit of y*(-5)\/(-10) - -117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 3*o - 67*o.\nAnswer: -61*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10027 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208582077 a multiple of 3176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 6\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 - 36*w**2 - 17*w - 11. Determine n(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-4)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18072*k**6 + 34110*k**2 wrt k.\nAnswer: 2168640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 112?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250760 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.705201 litres to millilitres.\nAnswer: 4705.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:06 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h - 60. Let i be (3\/h)\/(22\/163574). Let v = i + -7455\/4. Calculate the common denominator of v and -29\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/180 - 5*h**4\/36 - 8*h**3\/9 + 108*h**2. Factor r(m).\nAnswer: -(m + 2)*(m + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4, -19, 4 in descending order.\nAnswer: 49, 4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -86.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 177*t + 18585. Let h be v(-105). Let q be (-32)\/(-40) + 46\/5. Suppose 5*g - 19 = 4*d, -5*d - 12 = -2*d - 3*g. Put d, q, h in descending order.\nAnswer: q, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.20999999 - -0.21. Round b to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5849 * -1210\nAnswer: 7077290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -21112?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 7*s**2 - 2*s - 8. Let p be m(6). Let t = 2353 + -2336. Suppose t*v - 107 = p*v. List the prime factors of v.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4080 - 4084. Put -5, 7, -2\/5, b in increasing order.\nAnswer: -5, b, -2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 684 = -279. Let y = r - 79. What is the lowest common multiple of y and 22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*o - 4*b, -3*o + 4*b = -9 + 20. Put -2, o, 23, 4 in increasing order.\nAnswer: -2, o, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -79665, -159295, -238925?\n\"Answer: -79630*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 70 - 22. Let y = t - 6. Does 15 divide (0 - -6)\/(y\/39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let g = -5 - -4. Let b be (7 - g) + (-3)\/1. Solve -x*i + b = -0*i + p, i + 13 = -4*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*l**2 - 579*l**2 + 0 + 0 + 1154*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*y = -42 - 8, 2*y - 5 = 3*f. Let p = -2 + 5. What is the units digit of f\/(15\/(-18)) + p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6315 rounded to 1 dp?\nAnswer: 39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 494177949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 425977723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f + 11. Let x(r) = -13*r - 10. Let t(w) = 5*v(w) + 6*x(w). Differentiate t(p) with respect to p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((36\/5)\/12). Let f(o) = 0*o - o - 16 + 2*o + o + 2*o**2. Let u be f(r). Calculate the greatest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = -g + 2, -5*l = 2*g + 14. Which is bigger: g or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - n + 36. Let j be 6\/15 - 523\/(-5). Suppose -l - n*l + j = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -16. Solve a*h - 2*h = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - a - 2 + (4 + 5 - 3)*(3*a + a - 6*a) - 4*a + 3*a - a - 4*a - 3*a + 5*a.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*u - 10 = 26, 0 = 3*k - u - 2. Let j(n) = 10*n. Let r(a) = 21*a + 1. Let f(h) = -7*j(h) + 3*r(h). Give f(k).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2464036*v**4 + 5*v**3 - 93328222*v**2 - v wrt v.\nAnswer: -59136864*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s = 2154. Let y = -357 - s. Solve -2*f - 2*n + 16 = 0, -f + y*f + 2*n - 11 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 4. Let c be k(3). Let h be 3\/(c - 15\/(-6)). Solve -j = -h*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6060, 24243, 54544, 96963, 151500, 218155?\nAnswer: 296928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 121783974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and -1817946.\nAnswer: 114530598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2, -38 in decreasing order.\nAnswer: -2\/3, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 (base 15) in base 3?\nAnswer: 1021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:21 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75850*d*w - 142*d - 126*w + 24469 wrt d.\nAnswer: 75850*w - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4 + 12. Let t be (-4)\/(g\/(-54)) + 3 + -4. Let b = 62 + t. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1182 and -1\/42552?\nAnswer: 42552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4693 + 1.469305959. What is g rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000590892077 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-806)\/(-429))\/(-31) - 4*215\/(-33). Let t = 93 - 54. Calculate the greatest common divisor of t and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 2*j**4 - j**3\/3 - j**2\/2 + 9*j. Is q(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*g - 31. Let r = g - -17. Let u(q) = 6*q**2 + q + 1. Let b be u(1). Is r greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 5)**2*4 - (sqrt(19) + 0 + sqrt(1216) + sqrt(19)*1 + sqrt(19) + 3)) + -2.\nAnswer: 189*sqrt(19) + 1995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/9 - (-3 + (-66)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((19\/1273)\/((-4)\/(-6)))\/((-51)\/(-68))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 + 5.1. Which is the nearest to 0.02? (a) d (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 - 2*o**5\/15 - o**4\/3 - 8*o**3\/3 - 83*o**2. What is k(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 247, -2314, -9267, -22808, -45133, -78438, -124919, -186772?\n\"Answer: -366*k**3 + k + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32261542 to the power of 1\/2, to the nearest integer?\nAnswer: 5680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42*(6\/8)\/(24\/592). Suppose o = 3*p - 237. Let w = p + -160. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 218.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 - 118 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 158008?\nAnswer: -474024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 159*p - 2146. Determine h(-144).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {v: 2, t: 4, g: 1, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*p + 962922 = -7*p. Calculate the highest common factor of p and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k*k**3*(k\/k**(-2\/27))\/k**(-3) assuming k is positive.\nAnswer: k**(56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 5*l**3 + 4*l**2.\nAnswer: l**2*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -378.48 + 378.98. Let t = 0.6 - 1. Let d = -1.1 - -1. What is the nearest to d in c, 12, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 + 2*u**2 + u + 1. Let w be y(-2). Let n be 10\/w + 16\/(-10). Let l(m) = m**2 + m. Let r(s) = s**3 - s**2 - s. Determine n*l(v) - 2*r(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426043708.\nAnswer: 2, 17, 19, 1103749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(204) + sqrt(204))*3 - sqrt(204))\/sqrt(12) + -3)*1*-2.\nAnswer: -22*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 506, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(33)\/sqrt(3) - sqrt(11)) - (-3*(sqrt(11) + sqrt(11)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) 1 (c) -20 (d) 3 (e) 0.5 (f) 3\/46\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 + 9*x - 5. What is c(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**7)\/d)**(-25)\/((d**(1\/4)*d)\/d**(-1\/8)) assuming d is positive.\nAnswer: d**(1189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/294 and 73\/51.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 140617866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 379273 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)\/(w\/(w*w*w\/(w\/w**12)))*w**(-11\/7)\/(w*w**(4\/13)*w*w))**(-17) assuming w is positive.\nAnswer: w**(15283\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 0.1, 1\/103, 1 in decreasing order.\nAnswer: 1, 0.1, 1\/103, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/4, -21, 0.01 in descending order.\nAnswer: 0.01, -0.2, -1\/4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -42*m + 604. Determine h(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.77 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(1900))**2.\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9459820 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -202?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11381*y**4 - 4*y**3 - 4389*y + 4. Let m(u) = -u**4 + 2*u**3 - u - 3. Let w(p) = d(p) + 2*m(p). Find the second derivative of w(n) wrt n.\nAnswer: -136596*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrguggrggrggggppgg. Give prob of picking 2 r.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 184 (c) 4 (d) -3522\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 24*w = 6. Suppose 5*x - 9227 = -2*p, 0 = -x + w*x + 3*p - 3682. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-814*l + 814*l - 13*l**2)*(3*l - 2 + 2) + 5 + 6*l**3 - 5.\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 69?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/7))\/(k*k*k**(-8)*k))\/(k**3*k**8)*(k**(-2\/23)\/k)\/(k*k\/(k*k**(-2\/9)))*(k**8*k)\/(k\/k**(-2)) assuming k is positive.\nAnswer: k**(-1276\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124060, -124064, -124068?\nAnswer: -124072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 133.\nAnswer: -133.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5*f - 1)*(79 + 452 - 4082 - 3616 - 3982) to x + i*f and give i.\nAnswer: 55745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 28 = s. Suppose -1 = 2*z - s. Suppose x = -z, -5*u + u - 5*x + 1 = 0. Solve p + u*p - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 2\/1921 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10.1. What is the nearest to b in 0.3, 0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let b = -4.02 + 4. Let o = -0.42 - b. Put 2\/3, o, t in descending order.\nAnswer: t, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 16 (b) -961 (c) 3\/7 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166936 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let h be c\/(-16) + 33\/4. Suppose 3*d + 1500 = h*d. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101842641.44 - -101837368.715947. Let p = -5272.7 - d. Let m = p + -0.024. Round m to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 75*t - 13. Let b(i) = 3*i**2 - 241*i - 39. Let o(w) = 4*b(w) - 13*s(w). Give o(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-152)\/(-40))\/((-84)\/(-5)). Let y = -781\/168 - q. What is the common denominator of y and -41\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.3579 - -17.5949221. Let h = j - 0.2369. What is h rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.242 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 + 5*o**2 + 8*o + 4. Let s be m(-9). What is the remainder when ((-45)\/75)\/(s\/85) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 54. Sort l, 0, 1, 3 in ascending order.\nAnswer: 0, 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 925.6 (c) 0.1 (d) -10 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4219 divided by -99.\nAnswer: -4219\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.978 - 0.132. Let u = v + 0.11. Suppose -2*t - t - 12 = 0. Which is the second biggest value? (a) u (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.24 - 0.04. What is the third biggest value in l, 1\/3, 3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/(24\/(-84))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1307783, -1, 5 in decreasing order.\nAnswer: 5, -1, -1307783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -121. Let r(l) = -l + 5. Let y be r(5). Let n be (y + 3 + -2)*m. Solve n = -2*x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-92) + (-209553)\/(-1587). What is the highest common divisor of l and 11968?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 10*f**2 + 20*f - 10. Give p(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007873144 rounded to 5 decimal places?\nAnswer: 0.00787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5605*o**2 - 1130*o**2 - 223 + 223.\nAnswer: -6735*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 0. Let t = 9 + -12. Let w = t - -1. Sort k, -5, w in increasing order.\nAnswer: -5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + s**3 + 2)*(2 - 4 + 1)*(-2 - 3 - 9).\nAnswer: 14*s**3 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.23 - -0.27. Is c at least 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9036 + 31677. What are the prime factors of a?\nAnswer: 3, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -22*t + 124. Let n be r(-27). Suppose 4*f - n = -h, -7*h + 6*h - 722 = -4*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 91. What is the third derivative of -2*m**6 + 19*m**6 - m**3 + 20*m**2 + 22*m**n - 12*m**2 wrt m?\nAnswer: 2040*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1770\/49, 3\/23, 3\/7?\nAnswer: 1770\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*o**2 + 4152*o - 5580.\nAnswer: -4*(o - 93)*(11*o - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 18519003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 20, 0.3, -169, -0.4.\nAnswer: -169, -0.4, -0.2, 0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(24\/9)*20\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t + 176. Let j = t + -39. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36817 - 1?\nAnswer: -36818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -97, -195, -331, -505?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**4 - 14*n**3 + 2*n**2 + 18*n - 4. Let y(k) = -2*k**4 - 13*k**3 + 2*k**2 + 19*k - 6. Let g(q) = 3*b(q) - 2*y(q). Suppose g(p) = 0. Calculate p.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-1480)\/(-1332)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 35*b**2 - b + 11. Suppose 25*j + 23*j - 1120 = 16*j. Determine u(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 32091480?\nAnswer: 64182960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 - s + 23. Let q be i(-6). Let b(z) = z**3 + 8*z**2 + 10*z. Determine b(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 10. Let y be v + 2 + 5 + 0. Put y, 0, -2 in descending order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 7, 8, -31 in decreasing order.\nAnswer: 8, 7, 3, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 2. Let b be l(4). What is the third derivative of -k**4 + k**2 - 2*k**4 + 0*k**4 + 3*k**b wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = 0, 2*w - w = -n - 3. Suppose f + 55 = 56*f. Calculate the greatest common factor of n and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 - (2 - (7 + -7)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 22 = 7*h. Find the common denominator of ((-2)\/4)\/((-10)\/h) and 79\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/252)\/(2\/3*(-36)\/(-48))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*c + 22 = 0, 4*j = -2*c + c + 30. Let q = j + -5. Calculate the greatest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q + 82*q = -3*x - 19, 29 = -5*x + 2*q. Let u = 0.66 - 0.7. What is the smallest value in x, -4, -1, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-570 - 1797 - 438 - 2823 - 174)*(i + 2 - 2) as m*i + w and give m.\nAnswer: -5802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 4, v: 3, b: 1}. What is prob of picking 3 n and 1 b?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(392))\/sqrt(8)*4)\/(sqrt(252)*3*-6).\nAnswer: sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*j + 43*j + 43*j - 1.\nAnswer: -17*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 10. Let r be o(6). Calculate the greatest common factor of r and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3549*v - 3549*v - 5370*v**2.\nAnswer: -5370*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 8*w + 10. Let f(l) be the second derivative of -l**4\/12 + l**3 - l**2\/2 - 2*l. Let q be f(4). What is the remainder when 5 is divided by v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let r be x(2). Let z = 8 + r. Suppose -d = -2*g + 18, -44 = -z*g - 2*d + 6*d. What is the remainder when 20 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 56 + 19 = 5*a, 4 = 2*d - 2*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21120020210000 - 22?\nAnswer: 21120020202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -1, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-184)\/(-10) - (-6)\/(-15). Suppose -2*z = 3*n + 2*n - 5, -5*n = -5. Solve 5*i - 7 - b = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 7. Is -14 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 142, -1\/2, 868?\nAnswer: 868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -20*m + 9*m. What is the highest common factor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*s + 39, 3*m + 2*s + 0 - 21 = 0. Let u = 29 - 35. Let c be u\/(-12)*-2 - 1*-4. Calculate the highest common divisor of c and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:36 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175, -179, -183, -187, -191?\n\"Answer: -4*g - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 206*g + 103. Give f(7).\nAnswer: 1594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2795 or -2799?\nAnswer: -2799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asa when three letters picked without replacement from alaaaaassalaaaa.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, 1 n, and 1 j when four letters picked without replacement from aafjjajznnnnjf.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 44466165 (base 7) to base 9\nAnswer: 7215203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594669?\nAnswer: 1594669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-546)\/364*-6*1 + 105\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138\/13 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 591 - 589. Let y be 0*(10\/(-15))\/d. What is the biggest value in 23, -0.3, y?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237 divided by -3\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - -1 - (92 - 86).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 42050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 5 = -2*g. Suppose 18*c + 23*c = 779. Suppose 163 + 84 = -c*v. Is v greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c - 4*c)*(-2*c**3 + c**3 - 2*c**3)*(-25 - 54 + 2).\nAnswer: 231*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w = -16*w + 130 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:16 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvssvssxxvsvvss. Give prob of sequence ssxv.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - (-4 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 17600*s**2 - 9142640*s + 1111692160.\nAnswer: 5*(s - 236)**2*(s + 3992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(96\/(-1302))*(-8)\/28 and (-1)\/((-552)\/1413) - 9\/3.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 11*w + 62 = -2*z, 40 = w - 4*z. Let a = 35 - -40. What is the remainder when a is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 17 = 5*f - 1, 7*t - 8 = 3*t for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = 5. Let f be (-6)\/(6\/(-78) + 77\/(-13)). Sort 2, f, -6, p in ascending order.\nAnswer: -6, f, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8520 - 8520 + 348*l)*(l**3 + 9*l**3 - 2*l**3) in the form k*l**4 + g*l + h*l**2 + y*l**3 + p and give k.\nAnswer: 2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (0 + (1 - -1)). Let v = 10.3 - 10.32. Is v > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:39 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p + 5*g + 36 = 0, -2*g = -3*p - 4. Let w(l) = -2*l**2 - 14*l - 14. Let t be w(-8). What is the units digit of ((-15)\/p)\/(t\/(-400))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -67*y**4\/2 + 282*y - 8. What is the first derivative of c(s) wrt s?\nAnswer: -402*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.8 + -0.8. Let t = -3 + f. Suppose 0 = 2*k + 4*m - 8, 0*m + 6 = -5*k + 3*m. Which is the closest to t? (a) -2 (b) k (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taa when three letters picked without replacement from ttttttttttttttaaat?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 2. What is the tens digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 48*q**2 + 93*q - 400. Let h(c) = 11*c**2 + 23*c - 100. Let j(m) = -26*h(m) + 6*z(m). Factor j(r).\nAnswer: 2*(r - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*y + 2*f, y - 11 = 2*y + 2*f. Let s be 24\/2 + (y - -13). Let n be (24\/s)\/(2\/4). Solve -n*t + 14 = -0*t + 5*p, 5*t - 2*p = -18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3308 and 0.4?\nAnswer: -0.13232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 20*k + 6. Give l(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - x**2 + 11*x - 62*x as h + q*x**2 + g*x and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 10*v - 2. Let b be t(-9). Let r(o) = -13*o - 7. Let c(a) = 19*a + 10. Let k(g) = b*r(g) + 5*c(g). What is the units digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/36 + 7130\/(-1240) + ((-91)\/(-4))\/(-7)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3377953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 112695576 divided by 9786?\nAnswer: 11516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*t + 4. Suppose 2*f + 3*l = -t*l - 1, 0 = -f + 4*l + 6. Is ((-12)\/f)\/((-6)\/72) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 - (-12)\/(-6). Let k = 12 - 35. Is o + -1*(0 + k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 15}. What is prob of picking 3 v?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*969\/(-76)*(-4)\/12?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + 38\/(-14). Let j = -2 - 0. Put j, -5, g in increasing order.\nAnswer: -5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbebebeeemebtbbeee. Give prob of sequence tmbe.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-432)\/(-45))\/8*40\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m - 1. Let q(b) = b. Let r(v) = -4*q(v) + z(v). Is r(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*k = -108*k + 800968. List the prime factors of k.\nAnswer: 2, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -132 (c) -7432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2528121.537 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**6\/420 + u**5\/70 + 13*u**4\/84 - 5*u**3\/7 - 72*u**2 - 3. Let k(f) be the second derivative of v(f). Factor k(n).\nAnswer: -2*(n - 5)*(n - 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-6\/7)*h))\/h**(-6))\/(h**(7\/2)\/(h*h**8\/h*h)) assuming h is positive.\nAnswer: h**(173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.24 (b) 4\/9 (c) -104304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*h = -0*h + 100, -6 = -3*h. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 479*h**3*i**2 + h**2*i + 8*h*i + 7*i**2 wrt h.\nAnswer: 2874*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 13 + 0 - (92 - 109).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -906, -1818, -2732, -3648, -4566, -5486?\nAnswer: -6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-30) + 7\/(1925\/190).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-751 - -654) + 23 + 11.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 173*r - 47455. What is o(274)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/5 - 6042382*f**2\/5 - 9667832*f - 72508776\/5 = 0 for f.\nAnswer: -6, -2, 3021199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 0.4. Which is the second smallest value? (a) 1 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - 0.21. Suppose 23 = 9*l - 22. Suppose l*u + 4 = -2*j, 5*u - 8 = 2*j + 16. Is a bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 121*v - 1387. What is the hundreds digit of h(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 - 2392*v - 275072.\nAnswer: 4*(v - 4298)*(v + 112)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -60. Let q = -3 - -4. Suppose 2*b - 9 - q = y. Solve b*t - 4*i = 0, t + 1 = 3*i + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 + 6. Let d be o(4). Solve -d*m + 6 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002090328659 rounded to 7 decimal places?\nAnswer: 0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -1\/6*o**3 + 0 - 8*o + 4*o**2. Differentiate v(s) wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.469 + 3.531. Sort -3, -0.3, 0, d.\nAnswer: -3, -0.3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 34?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-18)\/(-48) + (-6 - -2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43\/2 + 24. Find the common denominator of g and 37\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 122 (c) -5 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129 - 9 + 278)*(3*z - 2*z + 0*z + (1 - 4 + 1)*(0 + 0 + 2*z)).\nAnswer: -1194*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from dhgcbdb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 3. Let l = 12 + x. Let g(a) = -a + 8. Let j(m) be the second derivative of -m**3\/6 + 7*m**2\/2 - 5*m. Give l*g(q) - 7*j(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*t + y + 2, -2*t + 7 = y. Suppose -r - t*r = 4. Does 4 divide r\/(-1) - -2*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 less than 9772215?\nAnswer: 9772214.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6966 + -6965.8667. What is m rounded to three decimal places?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015052 is divided by 10798.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 x, and 1 d when four letters picked without replacement from {l: 1, h: 2, d: 1, o: 1, x: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/60 - m**4\/3 - m**3\/2 + 2*m**2. Let r be q(9). Solve r = 3*x - 2*a, -2*a = -0*x + 2*x - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 0*z - 2*z + (-4 + 4 - 4*z)*(-2 - 1 + 2) + 4 + z - 4 - 2*z + z - z + z + 0*z + 1 + 1 to r*z + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*d**3 - 84*d**2 - 75*d\/2 - 9\/2.\nAnswer: -3*(d + 3)*(4*d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h - 26 + 26)*(-2*h - 1 + 1) as g*h**2 + q*h + b and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, z: 7, p: 1, l: 1, w: 4}. Give prob of picking 3 d and 1 l.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose 0 = 5*t + 5, -k = 4*t - t - r. Let n(c) = -2*c - 1 - c**2 + k*c**2 - c + 2*c. Calculate n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrh. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikilanalilkkknilkamk. Give prob of picking 1 l and 1 m.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - d - 3. Let r be f(-3). Let k = -5 - -18. Let a = k - r. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -1 + 2 + (-3 - 79) - -5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2\/2 + 9*f + 1. Let p be n(6). Suppose 0 = 2*l - p*b - 14, 0 = -l - l + 4*b + 16. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152143 is divided by 1463?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8280267493 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = -78. Let b = -19 + d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 579279782 divided by 5.\nAnswer: 579279782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k**3 - k. Let l be n(1). Suppose -14*v + 128 = -l*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 2 + -57*4\/(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8858 by 160.\nAnswer: 4429\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-10)*15\/9. Suppose -80 = -3*y - h*y. Solve 3*b = l - y, l + 10*b = 5*b - 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpn when three letters picked without replacement from {f: 1, p: 2, n: 6, u: 2, c: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3707 divided by -1?\nAnswer: -3707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814 (base 9) in base 7?\nAnswer: 6115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -56) + 6 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78844.41 months to years.\nAnswer: 6570.3675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l. Let k(r) = 7*r**2 + 6. Let s(u) = -9 - 5*u**2 - 6 - 5*u**2 - 6*u**2. Let g(n) = -10*k(n) - 4*s(n). Calculate t(g(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(1 + b - 1)*(4*b - 5*b**2 - 4*b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 26*a - 68. Give p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2883375 and 52425.\nAnswer: 2883375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + 32. List the prime factors of x.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690583533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 40, 86, 166, 292, 476, 730?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -48793508\/15 smaller than -3252900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 6. Suppose w + n = 3*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -850 by -50.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 8. Sort 4, o, 9.\nAnswer: o, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1\/3*u**3 + 0*u - 2 - 3\/2*u**2. What is the second derivative of q(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -574 - -1021. Find the third derivative of -484*y**3 - 121*y**2 + z*y**3 + 14*y**2 wrt y.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/81)\/((-2)\/4*186\/(-1395)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 552 - 13125 = -3*q, 2*d + 2*q = 5026. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 + 13 = 0. Suppose -21 = -0*v - u*v. What is the third derivative of -8*p**2 + 14*p**3 - v + 7 - 3*p**3 wrt p?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705 and 612238215.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 472.26 and -17.288846.\nAnswer: 454.971154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 3}. What is prob of sequence jjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {m: 1, v: 2, s: 1, f: 1, c: 4, e: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k. Let c be m(3). Suppose 4*b - 15 = c*b. Suppose q + 10*p = 5*p, -q - 6 = -p. Put b, -4, q in descending order.\nAnswer: b, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -2327*z**5\/20 + 407*z**3\/3 - z**2 + 2591*z. Find the second derivative of h(t) wrt t.\nAnswer: -13962*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/91810 and 81\/146896?\nAnswer: 734480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0050527 to four dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 65368?\nAnswer: 11\/32684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 116 = -4*f, 3*f - i = 4*i + 97. Suppose -m + f = 4*j, -2*m - 2*j = m - 22. Suppose 30 = -m*v + 118. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 11. Let h be t(-5). Let y(w) = -20*w**3 + 3*w + 17. Let g(z) = 7*z**3 - z - 6. What is h*y(m) + 17*g(m)?\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**8\/840 + n**7\/105 - n**6\/150 - 2*n**5\/15 + 2*n**4\/5 + 5*n**2 + 277*n. Find z, given that i(z) = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113759 is divided by 360.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Let b(d) = -3*d**2 + i*d**2 + 0*d**2 + 5*d**2. Let f(x) = 5*x. What is b(f(w))?\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2591 - -3743. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**29*d)\/d**(-5\/11))**(-3\/10) assuming d is positive.\nAnswer: d**(-519\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {c: 4, m: 6, x: 2, b: 4, z: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 694\/(-360) + 4 - 2. Let b = c + -1291\/1260. Let h = 7069\/6 - 1160. What is the common denominator of h and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + (sqrt(96)*-2)\/sqrt(8))*-6)**2*4.\nAnswer: 4992*sqrt(3) + 9616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -116.\nAnswer: -13\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8950.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)*h*h)**(23\/2))**1*h\/(h**(-2\/7)*h)*h\/(h*((h*h**3\/h)\/h)\/h*h)*(h**(-1))**21 assuming h is positive.\nAnswer: h**(177\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -394052 by -79.\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2408 - -4685\/2. Let i = 68 + x. Let k = 7 - 5. Is i at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbjbbbbbjb. Give prob of sequence lb.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*(l\/((l**(-2\/7)*l)\/l))\/l assuming l is positive.\nAnswer: l**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4212 and 86\/7128 + 6*(-6)\/198?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/20 + 3*j**4\/4 + 5*j**3\/3 + 6*j**2 + 40*j. Let n be v(10). Solve -3*s = 2*z - 5*s - n, -z - 10 = 3*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {u: 1, d: 6, c: 3, z: 3, l: 5, i: 1}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*l**2 - 4*l - 16*l + 18*l to the form z*l + x*l**2 + o and give x.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -27*n**4 - 576*n**3 - 1245*n**2 - 924*n - 228 = 0?\nAnswer: -19, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14 = 3*x + 2*n, 5*x - 4*n - 14 = 0. Suppose -x*q + 103339 = 17*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 515*f + 7908 - 7989 + 19136 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m - 5. Let i be o(-2). Let f(v) = v**2 + 2*v. Let d(h) = -3*h**2 - 7*h + 1. Let q(n) = -4*d(n) - 11*f(n). What is q(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50699.915 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 16, 48 = 2*i + 5*c. Let h = -57 + 99. What is the greatest common divisor of i and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let z(l) = l**2 + 1. Let t be z(-1). Let r(x) = -2*x + 6*x - 3*x + t*x. What is -5*m(c) + 2*r(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 72738 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29789 + -47a3?\nAnswer: -33481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*a**2 + a*k**2 + 48*k**2 - k with respect to a.\nAnswer: -160*a + k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10.6, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + -88)*(1 - (-8)\/(-5)). Let z = s + -62. Let v(g) = -g. Let m(x) = 4*x - 1. Let o(q) = m(q) + 3*v(q). What is o(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3754 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffffzfzfffzffffff.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39811*1.\nAnswer: 39811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 750.\nAnswer: -1\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*g + 5*g. Let b(p) = -p**3 + 5*p**2 - p + 7. What is the lowest common multiple of b(5) and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 152, 150, 148, 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 3. Let d be m(0). Suppose 0 = -d*l - 2*l + 40. What is the remainder when 31 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01463 + 0.18537. Let p = 14 + -20. Let f = p - -17\/3. Which is the second biggest value? (a) f (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2048 - -2076. Solve -3*x - x + 20 = 0, d - 5*x + q = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1012 and -30.\nAnswer: -28.8988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4643.6255 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -23. What is the smallest value in -0.5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, -0.4, -1 in descending order.\nAnswer: 0.1, -0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -8)\/(3\/(-15)). Suppose -5*l + 0*j + 35 = 3*j, -l + 5*j = -r. Let u be (-2)\/(-6) - l\/(-6). Solve 6*c = -2*v + u*c - 6, 2*c + 8 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/42 and -131\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 15*j - 2 = 0. Let x(s) = -26*s + 1. Determine x(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57873 is divided by 673.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37700 - -98512. Let v(p) = 81687*p + 1 + c*p + 3. Let u be v(4). Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 395588?\nAnswer: 7\/395588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33144 + -198865\/6. Put 1\/13, u, -0.1, 3\/2, -5 in descending order.\nAnswer: 3\/2, 1\/13, -0.1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3865135, -3865138, -3865145, -3865156, -3865171?\nAnswer: -3865190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 100. Suppose 12*o = n - 4. What is the tens digit of 3 - -194 - o - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11866 + 20*n - 61*n + 3*n**3 + 11866 + 41*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2. Let d(o) = 6*o**2. Determine d(g(a)).\nAnswer: 294*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Which is the closest to 2\/5? (a) t (b) -3\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 420 - -3?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -13 - 6 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 + 9.21. Let k = -7.6 + t. Let p = -1.5 + k. Which is the closest to -1? (a) -1 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 4*r + 217*r**3 + r.\nAnswer: 217*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 - t**3 + 3*t**3 + 4*t**3 + 4*t**2 to w + n*t**3 + b*t + x*t**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/((-24)\/(-57)*(15 - -4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*b**2 - 1\/5*b**4 + 4\/5*b + 0 + b**3.\nAnswer: -b*(b - 2)**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 - 26*x + 29. Let z(k) = -2*k**2 + 9*k - 10. What is -6*f(u) - 17*z(u)?\nAnswer: -2*u**2 + 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -19*t**5\/100 - 511*t**4\/60 + 293*t**3\/15 - 28*t**2\/5 - 1284*t. Suppose u(r) = 0. Calculate r.\nAnswer: -28, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 2544?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 39 = -3*h, -2*h + 2*b - 14 = -h. Let a = h - -2. Is -6 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + 14 - 62\/(-2). Let u = q + -30. What is the first derivative of 32 + 1 - 10*t - u wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 170, 289, 472, 731, 1078?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -3. Let f = t + -14.3. Let h be 4\/(-18) + (-102)\/27. What is the closest to 0 in h, f, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*y**3 + y**2 - 521 with respect to y.\nAnswer: 246*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -501, -752, -1003, -1254?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -0.31, -2\/9 in descending order.\nAnswer: -2\/9, -0.31, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 - 35*f**3 - 150*f**2 = 0. What is f?\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18054 equal to 18054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 4*b - 3. Let u(c) = 3*c**2 - 3*c - 2. Let y(n) = 3*u(n) - 2*w(n). Let t be y(-1). Differentiate t - 1 + 2*z**3 - 5 + 0 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8*h = 148. Let n = 30 + -17. Calculate the remainder when h is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -18. Let d = 0.097 - -0.303. Put d, 0.9, m in descending order.\nAnswer: 0.9, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198 + -5?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.8. Which is the second biggest value? (a) k (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -32, -62, -102, -152, -212, -282?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/12 - r**2. Let l(i) = 14*i. Determine q(l(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:00 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.4613mg in tonnes?\nAnswer: 0.0000002644613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 30 = 3*x, x = 3*g - g - 1. Suppose -x*f = -8*f - 261. Let r = 236 + f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3085833643?\nAnswer: 19, 997, 162901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -37*p. Let n be i(1). Let b be (-1*2 + n)*-2. Suppose b = 5*y - t, 0 = -5*t + 4*t - 3. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1. Let u(w) = -2*w - 5. Let o(k) = -4*k - 10. Let v(a) = 3*o(a) - 7*u(a). Determine 2*r(m) + v(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 take away 77537?\nAnswer: -77605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (5 + -8 + 11)) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869 + -0.002.\nAnswer: 868.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/5 + 30208*w\/5 + 331804\/5.\nAnswer: 4*(w + 11)*(w + 7541)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98955281729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130548 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) -0.3 (c) 2 (d) -2\/9 (e) 9\/23 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136692 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -52212432?\nAnswer: -52212414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 699\/14 + -17\/7. Suppose -14 = -4*m + 2*d - 212, -5*d - 240 = 5*m. Let t = m + i. What is the second smallest value in 0.4, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13*l - 36. Let s be q(-10). Let c = 18 + -8. Let g = s + c. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1166 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2 + 2)*(-z**2 + 5*z**2 - 3*z**2)*(-2 + 2*z + 2 + (-3 + 3 - 2*z)*(-4 + 1 + 1) + 4*z - 6*z + z + 0 + 0 + 2*z - 4*z + 0*z + 2*z).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225633 is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 18. Let a(l) = -33*l - 624. Let o(b) = -2*a(b) + 69*m(b). Let v = 10 - 4. Suppose -21 = 3*c - v*c. Let u(t) = -3*t + 7. Give c*o(d) - 6*u(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Suppose -11 = -4*q + c*g + 5, 4 = 4*g. Calculate the remainder when 18 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -1\/12*m**4 + 0*m + 1\/9*m**3 + 1\/30*m**5 + 2*m**2 - 1\/180*m**6 + 0. Suppose z(n) = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*g**2\/9 - 93915*g - 30187\/9.\nAnswer: (g - 30187)*(28*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 542621304 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4430.5911 to the nearest ten.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 - 8*w**3 + 2*w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/24 and 39\/43.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16551 + -7649. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -340\/7. Let b = 5 + -4.5. Sort 2, b, m in decreasing order.\nAnswer: 2, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(i**3 - 3*i**3 + 4*i**3)*(6 - 39 - 9) in the form y*i**2 + m*i**3 + c + n*i and give m.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187717555 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1833 + 2?\nAnswer: -1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:52 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1468991 (base 10) to base 12.\nAnswer: -5aa13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let u(q) be the third derivative of q**5\/30 + 73*q**4\/24 - 1202*q**2 - 3*q. Give u(l(f)).\nAnswer: 2*f**2 - 73*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 0*d**4 - d**4 + (-d + 4*d - d)*(2 - 2 - d**3) + (3*d**3 - 6*d**3 + d**3)*(7*d + 0*d - 2*d).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 111 = -3*z, 80 = 2*z - 4*q + 8*q. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30708 - (19 + -32 + (5 - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339*l*y**3 + 6033*l*y**2 - 14*y**3 wrt y?\nAnswer: -2034*l - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s**2 - 986*s + 52. Let b(p) = 5*p**2 + 329*p - 18. Calculate 17*b(q) + 6*d(q).\nAnswer: q**2 - 323*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10878 + 47?\nAnswer: -10831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n + 1 - 24*n - 34*n)*(4*n + 2*n - 5*n) in the form l*n + x + z*n**2 and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {r: 3, w: 9}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rokkootrjuk. Give prob of picking 1 o, 1 j, and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/4)*n**(-8))\/((n*(n\/(n*n\/(n*n**(-1\/5)*n*n)*n))\/n*n)\/n)**(-35) assuming n is positive.\nAnswer: n**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 + -1.9. Let g = -4 - f. Let k = -268 - -269. Is g greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -26*l**2. Let i be z(1). Let q = 39 + i. Suppose q = 4*o - 7. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-10) - (-3930)\/(-675) - -4 - 1222\/(-72)?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2107 and -2.27.\nAnswer: -2.0593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -670*r + 664*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*h + 21*h + 27 + 26*h + 4*h + 29*h + 20*h.\nAnswer: -8*h + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -39*u + 63*u - 27 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 44088\/2736 - 14\/12?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose 2*w + 5*g - 48 = 0, u = -2*g + 3*g + 2. Let r = -61 - w. Round r to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 9*y + 20*y + 31*y**2 + 29*y.\nAnswer: 31*y**2 + 53*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -18 + 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*l + 19 = 0, g + 5*l + 8 = -15. Which is the third smallest value? (a) 0.3 (b) -0.3 (c) -12\/5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/9 and 61\/9932586.\nAnswer: 29797758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (75\/(-7) + 18\/(-63))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 - 6. Let p = 15548.4 + -15548. What is the second smallest value in -1\/4, p, 1, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.5, 9, -38, 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, f: 3, u: 6, a: 4}. What is prob of picking 2 p?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 445 = 5*m, 4*p - 127 = -m - 14. Find the first derivative of m*t**4 + 54*t**4 - 101*t**4 - 31 wrt t.\nAnswer: 184*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85397 or -85405?\nAnswer: -85397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -34027*j + 103. Let l be p(-11). Suppose -50*h = -120650 - l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-10))\/((-3)\/(-15)). Let y be ((-1)\/1*7)\/1. Let i = -164.2 - -165.2. Sort y, q, i in decreasing order.\nAnswer: q, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8699904 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 b when three letters picked without replacement from {b: 4, x: 2, m: 2, j: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Let f(b) = r*b - 2*b + b. Let a(x) = -x**2. Determine f(a(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + y + 13 = 0, 4*y = -0*y - 4. Let k = u - 1. What is the derivative of 26*i**2 - 12*i**k + 14 - 4*i**2 wrt i?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -14, -55, -134, -263, -454, -719, -1070?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1 + sqrt(112) + 0 + sqrt(112)*-1*3 + -1)**2 + 1.\nAnswer: 16*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.45499181 to one dp.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 5 (c) 322 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 72 = -t. Let i be ((-18)\/t)\/(2\/8). Solve -2*b + i*y = -2, 2*b = 4*y - 3*y - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.60691992 + 2\nAnswer: 6.60691992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*w - 9*w - 476. Let y be (-7)\/(w\/8)*-1. Suppose -y*s - 130 = -1244. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 - 3*y**2 - 4*y. Determine r(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 = -3*s + 499 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003553 rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:48 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (11 - -4) - -24) + (-122)\/18 + -3?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 1274562?\nAnswer: 4\/637281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29013 + 20083. Is 3 - (2\/18 + h\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(1920)*1 + sqrt(120)\/sqrt(16))\/(-2*sqrt(60)\/(sqrt(10) + sqrt(10)*-2)) + 4.\nAnswer: 4 + 19*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1)\/((-703)\/31635)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1598, -7, -3, 0 in decreasing order.\nAnswer: 0, -3, -7, -1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - (-26 + 37 - 50)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let x = -12\/37 - 40\/333. Calculate the common denominator of x and w\/1 - 55\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 1282 - 2*m + 2*m - 647 + 5*m**2 - 635.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, 341, 1189, 2381, 3923, 5821, 8081, 10709?\nAnswer: 13711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**32\/((y*y**(-1))\/(y\/((y\/y**10)\/y)*y)) assuming y is positive.\nAnswer: y**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 - 74. Let l = t + -117. Solve f - l = -o, -3*o - 2*f + f = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 17051.5\nAnswer: -2216.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b + 4*d, 0 = -3*b + 3*d - 3 + 21. Suppose 5*j - 5*f = -b*f + 13, 2*j = 2*f + 10. Calculate the remainder when 4 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 3, d: 2}. What is prob of sequence vxdd?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/6 - 206*d**3\/3 + 9899*d**2\/6 + 96026*d\/3 - 70070 = 0.\nAnswer: -14, 2, 39, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1805.981 rounded to 0 decimal places?\nAnswer: -1806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23303, -46601, -69899, -93197?\nAnswer: -116495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*m = 9 - 33, 26 = q - 5*m. Suppose -35 - 19 = -q*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4469\/364 - 48\/91. Calculate the common denominator of 28\/3 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 + 6*n - 34. What is r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 115\/3 - 2\/6. Calculate the remainder when -1 - (-3 - (s - 0)) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*4*1 - sqrt(385))\/sqrt(7))\/((sqrt(11) - (sqrt(22)\/(sqrt(72) + sqrt(2)) - sqrt(11)) - sqrt(11))*-6).\nAnswer: -7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 21. Suppose -20 = -a - w*a. Solve -2*h - 8 = a*l - 22, -2*h = -2*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14905.\nAnswer: 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3673*j**2 - 1217*j**2 - 1220*j**2 - 37 - 10*j - j**3 - 1237*j**2 to the form q + u*j**2 + d*j**3 + c*j and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - z)*(-z - 2*z + 1 + 5*z).\nAnswer: -4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -185, -2\/9, -92 in ascending order.\nAnswer: -185, -92, -2\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146881\/22 - -6672. Find the common denominator of -17\/10 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1420, -4, 276, 0, -2 in decreasing order.\nAnswer: 276, 0, -2, -4, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 1\/12*l**4 + 9\/2*l**2 + 0 + 4\/3*l**3 + l. Let q be p(-7). Solve -3*h + 6*h + 20 = q*t, 28 = -5*h + 2*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 109*d**3\/3 + 3*d**2\/2 - 33*d. Let c be k(1). Let w = c + -99. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269485 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4 + 10. Let f be 5\/2 + q\/4. Suppose 4*b - 30012 = -2*g, -b - f*b = -12. Round g to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 594 - 561. Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p + 61 - 2389 + 2*p.\nAnswer: -21*p - 2328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Let q = -1.6 - -2. What is the nearest to u in -1, 0.3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(3\/3 + 0). Let p(y) be the first derivative of -y**2\/2 + 6*y + 8. Let o be p(v). Sort 0, o, -4.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*s - 84 + 232, -4*s + 140 = 5*n. What is the common denominator of (-1 - n\/(-20)) + 2 and 21\/19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/(c\/c**(-2\/21)*c))\/c)\/c))**18\/(c*(c*c*c**(-4))\/c)**7 assuming c is positive.\nAnswer: c**(614\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1476)\/(-34))\/3 - 20\/(-520)*-364?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57229329?\nAnswer: 3, 19076443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105321656876 and 0.\nAnswer: 105321656876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159334351*b*f**3 + 63134227*f**3 wrt b.\nAnswer: -159334351*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 2. Suppose f + 3 + 12 = 0. Let t(m) = -6*m - 15. What is f*n(v) + 2*t(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1805? (a) -3 (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - -11 - (-4)\/1. Solve -5*d = -l - 0*d + a, -2*l + 4 = -5*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23 + (-2 - -3) + -2. Let s = -2955 - -2958. Solve -s*z = 2*o - 0*z + 13, 2*o - j = 4*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.7 + -0.7. Let d be 2 - (2289\/3036 + 2). Let i = d + 1\/253. Which is the second smallest value? (a) 4 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(243)*2 - (sqrt(243) + -2 + 5)**2 - ((sqrt(243) - sqrt(243)*-2 - sqrt(243) - sqrt(243))*4*-6)**2)*4.\nAnswer: -560880 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 1. Let d(f) = -f. Let i be 2\/6*(-6 + 9) + 0. Determine i*s(p) + 4*d(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 2. Let n(m) = -6*m + 3. Let b(i) = i**2 + 3*i - 13. Let h be 1\/(4*2\/24). Suppose -h*t - 66 = 8*t. Let k be b(t). What is k*z(x) + 4*n(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6720533212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -717 + 717.001162. Round f to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 65*b + 8. Determine z(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {p: 1, z: 1, s: 1, u: 2, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - (-64)\/3. Let d = p - 22. Let v be 2*4\/(-6)*3. What is the nearest to 0 in v, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from zziiccijcitiiccct?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -612, 58 in descending order.\nAnswer: 58, -5, -612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 38*h**2 - 2*h - 77. Determine r(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q - 76. Let i(c) = c + 15. Let y(p) = -11*i(p) - 2*x(p). Let j be y(11). Let m = j - -6. Solve 0*l + m = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 + -237. Let a = -4.05 + 0.05. Let t = a + 3.8. What is the nearest to t in z, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/(-18) + 2)*-1. Let i = -15 - -132. Let v = i - 117.2. What is the nearest to u in -3, v, 1\/10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2651*v - 2650*v - 26, -3*k + 18 = v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -2\/9, -4\/9, 0.4, -36?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/28 + 4*i**7\/7 - 113*i**6\/40 + 7*i**5\/4 + 141*i**4\/8 + 45*i**3\/2 - 631*i**2. Find z, given that t(z) = 0.\nAnswer: -1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -16*j**3 - 15*j**2 + 6*j + 11. Let y(c) = 225*c**3 + 210*c**2 - 85*c - 155. Let q be (51\/(-4))\/((-9)\/60). Let n(d) = q*v(d) + 6*y(d). Factor n(l).\nAnswer: -5*(l + 1)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4.1, -2\/5 in ascending order.\nAnswer: -2\/5, 1\/2, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -g - 3*i, -325*g + 326*g + 3 = -2*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176755161 divided by -6.\nAnswer: 58918387\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/678 and -81\/4.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119)*1)\/(sqrt(7) + -1*sqrt(7)*-5) + (4*-2*sqrt(170))\/(sqrt(10) - (sqrt(10) - (sqrt(40)*2 + sqrt(40)))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2123498 rounded to 3 decimal places?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 22*d**2 - 3*d - 54. Let v = -28782 - -28771. Determine i(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/6 + 5*l**3\/6 - 27*l**2 - l - 61. Find the first derivative of v(s) wrt s.\nAnswer: 4*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 786 + -768. Which is smaller: j or 19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -481*w - 167576. Give u(-348).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3653.6 + 3654. Let g be (0 - (-1)\/(-9))*-6. Sort g, s, -1\/3 in decreasing order.\nAnswer: g, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 - 4077*v**2 - 5*v**3 + 2038*v**2 + 2039*v**2.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.88. Let h = 1.04 + -0.04. Suppose 212*p + 314 = -102*p. Which is the nearest to h? (a) p (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*p**5 + 55060*p**4\/9 + 509840*p**3\/3 + 2776000*p**2\/9 - 58880*p\/3 - 114752\/9 = 0. What is p?\nAnswer: -22, -2, -2\/11, 2\/9, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 11*u - 6. Let m be a(14). What is the highest common factor of 90 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -14\/3.\nAnswer: -14\/3, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3*n - 3. Suppose 91 = 4*x + 35. Let f be 4\/x + 164\/14. Let o be (1 + 0)\/(f\/(-48)). What is a(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/3*w - 82\/3*w**2 = 0.\nAnswer: -2\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36960000 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 13*c**2 + 27*c. Let y be s(12). Let b = 470 - y. Let m be (-3)\/(-1 + 5\/2). Sort 3, 0, m, b.\nAnswer: m, 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3 - 3)*(-1 + 1 + 1)*(4*m - 4*m + m)*(-2614 - 11*m + 2614 - m**3).\nAnswer: -2*m**5 - 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022 + -21?\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67098 + 63072097\/940. Calculate the common denominator of o and -49\/40.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/59 + -77\/177. What is the second biggest value in -1, -3, g, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228289467*g**3 + 114144728*g**3 + 114144729*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((6 - 7) + (3 - 12) + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/31278 and 113\/1325706?\nAnswer: 17234178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 561508\/280 + 2\/(-7). Let b = -2008 + n. Calculate the common denominator of (-3)\/(-2)*(-44)\/12 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 338?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/5 or 0.116288?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:55 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/452 and 59\/624.\nAnswer: 70512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1812486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -u. Let r = 6 + u. List the prime factors of ((-14)\/r)\/((-7)\/21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 6}. Give prob of sequence xxzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -380*k - 126*k + 182*k - 1133*k - 21*k + 3737 with respect to k.\nAnswer: -1478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + 1 + -7 + -4. Solve 5*g = 3*o - 10, -g + 0*o + r*o + 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - 187\/11) + 70\/13. Suppose 2*w + 3 = -f - 0, 3*f + w + 4 = 0. Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**3 + 10*m**2 + 4*m - 12. Let h be s(9). Let p = 1055 + h. Let c = p - -1476. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5330385*p**3 + 5330383*p**3 + 2*p - 2*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, 6, 48.\nAnswer: 1, 3, 5, 6, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -161*c - 745. Let o be z(-5). Calculate the greatest common divisor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2480*b**3 + b**2 - 256*b wrt b.\nAnswer: 14880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v - 340. Suppose -o - v = -3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 4084301433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142136686, 142136676, 142136660, 142136638?\n\"Answer: -3*v**2 - v + 142136690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58.1 + -58. Let c be ((-2992)\/120)\/(-17) - 1\/(-5). Put k, c, -2\/19, -3\/2 in descending order.\nAnswer: c, k, -2\/19, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/111))\/f)\/f*f\/f**(-28) assuming f is positive.\nAnswer: f**(3106\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-1)\/(1*7\/(-1)*(-4692)\/10948)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 = -3. Let x be 12\/(c*(-4)\/6). Which is greater: x or -19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 5*d**2 + 0*d**2 - 3*d - d**2 + 3*d + (-2*d + 4*d - 3*d)*(2*d + 3*d - 7*d) - d**2 - 5*d**2 + 4*d**2)*(-d + 3*d + d).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Let n be 1\/(-2)*x\/1. Let c(q) = -q**2 + 1. Let i be c(n). Solve m = -0*r + r + i, -24 = -r - 4*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -26, -114, -290, -584, -1026, -1646?\n\"Answer: -5*h**3 + h**2 + 2*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-36)*-3*-18. Suppose 49 = -6*n + 67. Suppose 3*h - n*d = 120, 0 = h + 2*d - d - 50. Calculate the greatest common factor of i and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2. Let s(i) = -11*i**2. Let a(v) = 7*v**2. Suppose 0*g = -g + 5. Let f(j) = g*s(j) + 8*a(j). What is p(f(h))?\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2206 = 3*y + 4646, 3*y - 1356 = i. What are the prime factors of ((-2)\/4 - 0)\/(12\/i)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -371 at least as big as 12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 825, 1645, 2461, 3273, 4081, 4885, 5685?\n\"Answer: -2*t**2 + 826*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -151, -238, -341, -466?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 31736?\nAnswer: -5\/31736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/671 + -69233\/40260. Find the common denominator of v and -17\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061248913 - 9?\nAnswer: -8.9938751087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 2*x**2 + 8*x. Let m be n(3). Let i = -15 + m. Let g = 25 - i. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:34 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 6*r + 21, 5*n - 5*r = -440 + 465 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1586 = -3*r - g, -r - 3*g - 1072 = -3*r. Suppose -265*x + 260*x - r = 0. Which is bigger: x or -211\/2?\nAnswer: -211\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**2 - 6*x**5 - 17*x**6 - 8*x**5 + 14*x**5 wrt x?\nAnswer: -2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.0675 to one dp.\nAnswer: 18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mla when three letters picked without replacement from {a: 5, m: 2, l: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1754*z**2 + 6401*z**2 + 1184*z**2 + 5615*z**2 in the form s*z**2 + x*z + c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 179*q**3 - 3*q + 182*q**3 + 10*q**2 - 18*q**2 + 8*q**2 as u*q**3 + z*q**2 + s*q + c and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(-10)*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12838*p**2 - 16 + 13109*p**2 + 192 wrt p?\nAnswer: 542*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b3 - 22?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**3 + q**2 - 3*q + 2. Let r(s) = -3 - 24*s + 24*s - 4*s**2 + s**3 - 4. Calculate the lowest common multiple of k(1) and r(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391\/5 + -78. Let l = -66.1 + 66.2. Let n(z) = 3*z - 24. Let x be n(8). What is the second smallest value in k, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108.5 - -108. Which is the nearest to -0.1? (a) 13 (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107927 is divided by 53897?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/244748329 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-378)\/35*1*-35. Suppose 2*i + h = 5*o, -309 = -o - 3*o - 5*i. Round o to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r**2. Let z(b) = -7 - b - 1 + 8. Give z(h(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:40 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*(sqrt(832) + (sqrt(832) - (sqrt(832) + -1*(-2 + sqrt(832)) + sqrt(832)))) - -2*sqrt(39)\/((sqrt(42)\/sqrt(2))\/sqrt(7))))**2.\nAnswer: -816*sqrt(13) + 15172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*c - 30 = 0, 0 = -611*d + 690*d + 4*c - 549 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3548*f - 19633 = 74002 + 23449 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -0.1 (b) 24\/5 (c) -58 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwmwwpnwpmwwww?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 - -308. Let x = 148 - u. Which is the closest to 1? (a) -0.4 (b) x (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 514740 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (333\/(-83) - -2). Let h = -161\/415 + d. Is h <= 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -7 + (-5 - -2) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-8))\/((-249)\/(-166)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 0*a - 3 + 3*a + 0*a + 4*a**2. Suppose 0 = -2*c + 8. Give v(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75192 divided by -12532\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -260, 225, 1014, 2089, 3432?\n\"Answer: -3*q**3 + 170*q**2 - 4*q - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4 (c) 2\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10058948437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3056772000 rounded to the nearest one million?\nAnswer: -3057000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -9*d - 3. Suppose -4*s + 106 = -d*i, 2*s + 4*i + 58 = 4*s. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15899272 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201 - -241. What is the first derivative of -19 - 28*x**2 - l + 32 - 45 wrt x?\nAnswer: -56*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131040189.\nAnswer: 3, 7, 2080003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 3. Let v(b) = 2*b + 1. Let w(f) = -5*v(f) + 3*z(f). Let h be 36\/(-21) + 4\/(-14). Let x be -2 + (-1)\/(-2)*h. Give w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 times -399429\nAnswer: 57118347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, h: 3, f: 1, s: 4}. What is prob of sequence hhxh?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-5)\/(-90))\/(28\/(-21))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 30 + 47. Let i(t) = 15*t**2 - 14*t - 52. Is i(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(22*x - 97*x + 21*x) - 2 - x + 2.\nAnswer: 107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -311, -1257, -2825, -5009, -7803, -11201?\n\"Answer: m**3 - 317*m**2 - 2*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2.96, -2, -0.3 in descending order.\nAnswer: 2\/7, -0.3, -2, -2.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + (1643950\/(-2806))\/49?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:52 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n*(n*n**(4\/21))\/n*n*n**5*n*n*n*n**(-7\/4) assuming n is positive.\nAnswer: n**(289\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 203*d - 2357. What is f(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/42*-6)\/((-26)\/(-364)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 0.3. Let c = 187 - 186.8. Let y be ((-30)\/105)\/(4\/(-6)). Sort l, 7, c, y in decreasing order.\nAnswer: 7, l, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7295214cm?\nAnswer: 7295.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f + 138*f + 240 = 266*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173248617 + 173233602.90001. Let o = -15014 - v. Let j = -0.1 + o. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9712822 bigger than -9712829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**3\/11 + 8606*t**2\/11 - 390*t - 25812\/11 = 0.\nAnswer: -3\/2, 2, 2151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4600 and -1338457376.\nAnswer: -1338452776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a + 5. Let p(g) = -5*g - 4. Let f(i) = -2*p(i) - 3*x(i). Let k be f(-5). Suppose -4*r + 145 = k. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.194378us to milliseconds.\nAnswer: 0.000194378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10182577, -10182594, -10182637, -10182718, -10182849, -10183042?\n\"Answer: -2*j**3 - j**2 - 10182574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1701)\/(-243)*-1*1*-22*(-3)\/(-7)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = f - 12*j - 7, -5*f + 15 = -5*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79230.\nAnswer: 2, 3, 5, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 334822 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2931, 2986, 3077, 3204, 3367, 3566?\n\"Answer: 18*i**2 + i + 2912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 18811?\nAnswer: 37622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/50 + 86141\/(-2052050).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n. Let d(h) = -7*h - 1. Let o = -23 + 12. Let y(u) = -u**3 - 12*u**2 - 13*u - 19. Let q be y(o). Determine q*d(g) - 5*r(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.175 (b) 0 (c) 0.5 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -185*f**5 + 3525*f**4 + 72515*f**3 + 130195*f**2 + 57870*f - 3520 = 0.\nAnswer: -11, -1, 2\/37, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-105)\/(-6) - (-4)\/8. Suppose -2*a + 9 = w - a, -5*w = -4*a - t. Suppose -w*v - 36 = -7*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -1.5 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - (4 - 4))*-19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 379\/(-10) + -1. Let g = -208\/5 - c. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1449 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 12636*z**4 - 12636*z**4 - 3 + 123*z**2 - 3*z**3 + 25270*z**4 as r*z**2 + n + w*z**4 + c*z**3 + f*z and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 43*b**2 + 25*b + 95. Let m be g(15). Solve -6*t = -m - 16 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93329 - -85971. Suppose -p - 3623 = -13*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q - 21. Let c = -6 + 8. Let j be 0*c\/(-4)*-2. Solve -q*t = -4*d - 16, j = -5*t + 14 + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9396030 divided by 707?\nAnswer: 13290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -915262.\nAnswer: -732209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103\/8855 + 32\/805. Let g = -1876345267915\/365323729936 - 3\/180495914. Let i = o - g. Find the common denominator of i and -29\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1199324 >= -1199243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 104561\nAnswer: 209122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3389*u**3 - 3581*u**3 + 10732*u**3 - 2842*u**3.\nAnswer: 920*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (7890\/3885 + 4). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/105)\/((-2)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17275\/4 + -4320. What is the common denominator of p and -45\/34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9670849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j + 311. Let p be b(0). Let s = p + -92. What is the remainder when s is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 20 (b) 0.001 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 5*c**3 - 2*c**3)*(-1 + 0*c + 2*c - 3*c).\nAnswer: 4*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v - 18*v + 68*v - 32*v. Let x(p) = p. What is x(o(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-40) - 10158\/(-12400). Let r = i + -24\/31. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30444122 (base 5) to base 4\nAnswer: -331000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79071 is divided by 1521?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29584 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 10002001?\nAnswer: 10001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.6 - -2.4. Let p = 60 + -45. Let w = p + u. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = x - 5 - 2, 10 = 5*t. Let z be -3*(4 + x)*-1. Let l(j) = 2*j**2 - 3*j. Give l(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:45 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14544 and 325188?\nAnswer: 131375952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18 - (0 + -2)) + 0. Suppose -24*p = -d*p. Suppose -4*b = -2*y - 264, p = 4*y - 5*y. What is the highest common factor of b and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0 - s**2 - 5 + 4 to the form l*s + h*s**2 + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889274406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*u - 3*l, -4*l - 25 = -4*u + 3. Suppose -11*z + 6*z + 22 = 3*y, 3*z - u*y = -6. Solve 0 = -n - z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 11*y + 41. Suppose -2*i + 2 = 0, 0 = -b - b - i + 67. Let a = b - 20. Calculate the remainder when u(-3) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 50*n**2 - 210*n - 361. Calculate the remainder when s(55) is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (312\/(-60))\/(1\/(-305)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -0.1 (c) -2 (d) -15 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19865646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2682446170 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 18*b - 2. Let v be c(1). Suppose r = -r + v. What is the lowest common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:31 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 5 (b) 2\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*g + 2801 = 2397 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*h - 4 - 8)*(-2*h**4 + 11*h**4 + 2*h**4) - 3*h + 3*h + h**5.\nAnswer: -21*h**5 - 66*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 417, -3, -4, -1, -8 in descending order.\nAnswer: 417, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 - -4. Let x = -26 + 26. Let k = m - x. What is the closest to -1 in 1, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3844)\/(-3) + 18\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/(((-10440)\/(-144))\/(-145)*(-2)\/10*6).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7 = 37. Let j be 10\/25*d + 732. Let y = 375 + j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by -1284?\nAnswer: 50\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102 + -121 + -76 + 76.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)*(3 + -2). Solve 2*k + y = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 46. Suppose 54 = -2*b - 2*b + 3*p, -6 = -3*p. Put r, b, -4 in increasing order.\nAnswer: b, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**12*n*n\/(n**(-2\/11)*n))\/(n**(-1)*n*n)**(-38) assuming n is positive.\nAnswer: n**(585\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - 4*r)*(2 - 2 + r**4) + (-2*r**2 + 4*r**2 - r**2)*(15*r**2 - 15*r**2 + 9*r**3).\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/7 (b) -0.1 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3586 is divided by 2299?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61237143677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - (-2)\/2)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19961\/3 - -6654. Which is the nearest to 1? (a) -28.2 (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -3*(-8)\/12. Let n be (-2)\/(-4)*b\/2. Solve -4*c = -2*u - 6, -6 = 2*u - n*u + 5*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269619 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - -2*sqrt(175)) + (sqrt(7) + sqrt(7)*-1 + sqrt(7))*1)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z**2 + (-1 - 2*z + 1)*(2 + 2*z - 2) + 3*z**2 + z**2 - 3*z**2)*(11 + 7 - 5).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - l = 95 - 53, -y - 3*l + 4 = 0. Let o(c) = c**3 - 9*c**2 - 52*c - 7. What is o(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -997241 divided by -30\nAnswer: 997241\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 306540.62767 and -1.\nAnswer: 306539.62767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -10 in descending order.\nAnswer: 6, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -54, -44, -32, -18?\n\"Answer: j**2 + 5*j - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 475000*u**2 + u + 2. Let d = 15 - 11. Let q be f(d). Suppose 3*l + 7*j - 3*j = 11400008, -3*j + q = 2*l. What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12122 = 21*f - 36346. What are the prime factors of f\/3 + (-57)\/171?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 4*g + 4*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*t + 7 = -28, -5*c + 53 = 2*t. Is 42\/(-231) - (-585)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r**2. Let u(v) = 7 + 6 - v**2 - 13. Calculate u(f(x)).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*w - 504 = 1429 - 503. Sort -1, -4, w, 56 in decreasing order.\nAnswer: 56, -1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -0.1, 7, 0.2 in descending order.\nAnswer: 7, 1, 0.2, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3616496 is divided by 293.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -172234.\nAnswer: -5\/86117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:52 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28c - 0?\nAnswer: -28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -a + 62, -n - 3*n = a - 17. Suppose 5 = 3*b - a. Calculate the remainder when 26 + 2\/2 + 0 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2746*p + 588 - 5488*p + 2745*p)*(-2*p + 2*p + 5*p).\nAnswer: 15*p**2 + 2940*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (0 - 1) - (366 - 342)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g + 7 - 14*g - 6*g - 19*g**2 + 25*g. Let h(y) = -20*y**2 - 9*y + 8. Let d(o) = -6*h(o) + 7*n(o). Find the second derivative of d(z) wrt z.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w**3 - 3*w**2 + 3*w**2 - 7*w**3.\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4838269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 970, 1049, 1130, 1213, 1298?\n\"Answer: v**2 + 76*v + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 23*b**2 - 57*b - 517. What is the remainder when d(-10) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17778 + 0.2\nAnswer: -17777.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16ce (base 15) to base 6.\nAnswer: -34435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**6)**(3\/28))**(-24\/11) assuming b is positive.\nAnswer: b**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0 + 0*b**3 + 87\/2*b**2 - 163*b + 0*b**4 + 47\/30*b**6 + 0*b**5. What is the first derivative of z(r) wrt r?\nAnswer: 188*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**2 + c + 5. Let m be (2\/4)\/((-3)\/(-30)). Let v(q) = q**2 + 1. Let f(s) = m*v(s) - t(s). What is the second derivative of f(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 13, 78, 177, 310, 477, 678?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*s + 1362*s + 45000 = -1446*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50.8023 and 1.3?\nAnswer: 49.5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2405.865 + 2405.9. Which is the biggest value? (a) 0 (b) 2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4\/20)\/((-2)\/1115). Find the third derivative of s**4 + 446 - 18*s**2 - v + 47*s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126928 - -1775314655.\nAnswer: 1775441583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 7}. Give prob of picking 3 o.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 15*b + 54. Is 7 a factor of (-102)\/b - -5 - (-384)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443 (base 7) in base 8?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 + 906*n\/7 + 93069\/7.\nAnswer: -3*(n - 383)*(n + 81)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 + 302. Let g = i - 64. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 221*r**2 + 2823*r + 15530. Give o(207).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 2*x + 3*x. Suppose 2*b + 3*b - v - 812 = 0, b - 178 = -5*v. Let u(o) = b - 163 - o. Calculate f(u(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 10*m**2 - 14*m - 18. Let b(t) = -t + 1. Let r(s) = 2*b(s) - o(s). Let i be r(-11). Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*g - 4*j = 173*g + 6, -3*j = g + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = t - 3*k, -2*t = -k - 31. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2185 - 1927. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4)*16\/28. Let w(b) be the second derivative of b**4\/12 - b**3\/6 + b**2\/2 + b. What are the prime factors of w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(0 - -1) + 7. Let b = -4 + o. Solve f - a = -7, -2*f + 18 = 4*a + b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + 1.6. What is the closest to 2 in 1, -2, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309794 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300485*-17.5.\nAnswer: 5258487.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.93 - -2.23. Let v = k + 25.6999714. What is v rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 4807?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 3\/5, -2\/21, -643?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -3, -2 in decreasing order.\nAnswer: 92, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4928 + -2.5. Round u to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v**3 - 5*v**2 - 3*v + 1. Determine q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 3:01 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1000 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/7, 1, -2, 0.00034, 5 in decreasing order.\nAnswer: 5, 1, 0.5, 0.00034, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 15*o**2 + 15*o - 51. Let f be p(17). Calculate the greatest common factor of 306 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 6*c - 1. Let m(x) be the second derivative of 2*x**4 - 25*x**3\/6 - 2*x**2 + 4230*x. What is -2*m(o) + 9*z(o)?\nAnswer: 6*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3328 + 5715. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 4546*b - 4541*b + 19, 11*b - 11 = 8*b - 2*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1\/6, 543, 0.3, 4\/3 in ascending order.\nAnswer: -5, 0, 1\/6, 0.3, 4\/3, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 4*o**2 - 167*o - 7. Let p(u) = 4*u**3 - 6*u**2 + 250*u + 11. Determine 5*p(w) + 8*s(w).\nAnswer: 4*w**3 + 2*w**2 - 86*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-40))\/(((-299)\/(-52))\/(-23)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*y = -701, 4*c - 775 = -4*y + 645. Let x = c + 13. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -67*f**2 - 6*f + 91. Let t(y) = -y - 2. Let l(v) = c(v) - 6*t(v). Differentiate l(d) wrt d.\nAnswer: -134*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 99395.14 micrograms?\nAnswer: 99.39514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27\/8, -4\/9, -23877?\nAnswer: -23877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 3*o, 0 = -0*o + o - 5. Suppose 26*p - 130 = -29*p - 10*p. Solve -i*d + 2*d - p = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25668 + -770111\/30. Calculate the common denominator of v and -16\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 3 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 + 6*q. Let b(k) = -k**2 - k. Suppose -2*c - 54 = -48. Calculate c*b(j) - p(j).\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x - 72*x + 75*x - 81*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2323 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8190, -10024, -54642, -125664, -223090, -346920, -497154?\nAnswer: -673792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 - 205658*a**3\/9 + 2347903138*a**2\/3 - 80163578683934*a\/9 - 6458271413780320\/9.\nAnswer: 2*(a - 34303)**3*(a + 80)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = 3*g. Let c(y) = -y**3 - y**2 + y + 15. Let l be c(0). Let x = l - g. Calculate the highest common divisor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 80*j - 71. What is y(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -587*i - 125 + 105 + 20. Let l(m) = m. Determine g(l(k)).\nAnswer: -587*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, 4, 2101.\nAnswer: 2, 4, 17, 2101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -1, -159, 0, -13, 13 in decreasing order.\nAnswer: 13, 5, 0, -1, -2, -13, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5331*l**2 - 2*l + 2*l - 18867*l**2.\nAnswer: -13536*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, 7 in decreasing order.\nAnswer: 7, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55722076.4006 and -4.\nAnswer: -55722080.4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7300319696 to the power of 1\/2, to the nearest integer?\nAnswer: 85442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/25824 and -73\/9770080?\nAnswer: 29310240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/7 + 6*i**3\/7 + 4*i**2\/7.\nAnswer: 2*i**2*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94727 is divided by 1828?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (2 - 3))\/1. Is v at least as big as -1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*u - 10, -i + 9*u + 20 = 14*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-14*y**2 - 19*y**2 + 46*y**2).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 3481891?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/7)\/((-55120)\/16536).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**5\/55 - 15*q**4\/22 + 32*q**3\/11 + 64*q**2\/11 - 390. Factor z(k).\nAnswer: 2*k*(k - 8)**2*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-36 + -30 + 14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, 34, -146 in descending order.\nAnswer: 238, 34, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -1. What is the biggest value in -2, 2, 4\/5, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -16. Let z be (4\/i)\/((-2)\/56). List the prime factors of z*(10\/4 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*c + 993, 3*m + c + c = 583. Let t be m\/15 + 20\/(-150). Sort 4, 1, t in decreasing order.\nAnswer: t, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 428*h**3 + 65*h**2?\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172965 = 59*p - 1030*p + 131*p - 1821*p for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*o**3 - 3)*(-4*o + 0*o - 3*o).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -40*a + 26*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1043 - -1620. Let h = u + -1429. Suppose -3*o - h = 4*v, v + 2*v = 3*o + 1227. What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p - p**2 - 10*p - p**2 + (-4*p**2 + p**2 + 2*p**2)*(7 - 3 + 2) - 4*p**2 + p**2 + p**2 in the form y*p + j*p**2 + g and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -3 + 10 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - s = 636 + 442, 5*s - 2695 = -5*f. Calculate the remainder when f is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1338881243 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5\/3 + 317*p**4\/3 + 6208*p**3\/3 + 37120*p**2\/3 - 8192*p = 0.\nAnswer: -32, -16, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*113\/(-10848)*34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289895522 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 8*o - 89. Calculate p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4153 (base 6) to base 16\nAnswer: -3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-4)*-2 - -2. Which is greater: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4782607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 1, f: 4, d: 4}. Give prob of picking 1 j, 2 f, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + l)*(l - l + l) + 6*l**2 - 2*l**2 + 3*l**2 + 7*l**2 - 2*l**2 - 2*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2266319939 to the nearest one million.\nAnswer: 2266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8*o - 6*o - 4 = 0, 3*z + 2*o = -16. What is the nearest to 0.07 in -2\/7, 0.1, -0.3, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than -1091\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**3 - 23. Let i(l) = -6*l**2. Give q(i(k)).\nAnswer: 216*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 28. Let r be k(13). Let v be (-180)\/30 - 12\/r. Solve 4*t + v*a - 4*a - 8 = 0, 0 = -t + 2*a - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (4 - (4 + -9 - -6) - 10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21 - 0.118. Round k to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, w: 3, g: 8}. Give prob of picking 2 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-16\/3))\/z*z\/((z*z**(2\/93))\/z) assuming z is positive.\nAnswer: z**(-135\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/3 + 152*j\/3 + 2888\/3 = 0.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, b: 7, x: 2}. Give prob of sequence xvxv.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2130 + -2132. Which is the second smallest value? (a) 40 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2587 - -0.8?\nAnswer: -2586.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67326*k*m*r**2 + k*r + k - m*r**2 - 4*m*r + 5032*m wrt r.\nAnswer: 134652*k*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/33)\/((-88)\/(-12)). What is the third biggest value in -4\/7, 2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344421200 (base 5) to base 4.\nAnswer: 11331003200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.49 - 0.01. Let j = f + 1.5017. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 124425, 248822, 373219, 497616, 622013, 746410?\n\"Answer: 124397*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572785609 to the power of 1\/2, to the nearest integer?\nAnswer: 23933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-7*(-2)\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936512229.\nAnswer: 3, 23, 263, 51607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Let z(f) = 6*f - 1 - 9*f + 10*f. Give k(z(u)).\nAnswer: 98*u**2 - 28*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2, -6, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -375*z**3 + 12*z**2 + 632*z + 1. Let b(a) = -379*a**3 + 10*a**2 + 632*a + 2. Let y(i) = -5*b(i) + 4*q(i). Find the second derivative of y(w) wrt w.\nAnswer: 2370*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/310 (b) 2 (c) 2535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 7, u: 5}. Give prob of picking 1 u and 2 r.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169 or 161?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358375 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116912 + -80372. What is c rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -8 + 21 - (-3 + 14)) + (5 - 98)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154626972?\nAnswer: 2, 3, 12885581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1233, -3142, -8385, -18648, -35617, -60978, -96417?\nAnswer: -143620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -52*c**2 + 1143*c + 635. What is b(24)?\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 496 - 10*m**2 + 491 + (3*m - 3*m - 3*m)*(-m + 1 - 1) + (3*m + m - 2*m)*(2*m - 2*m - 2*m).\nAnswer: -12*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3325193*p**6 - 62441347*p**2 wrt p?\nAnswer: -399023160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15410487 and -374.6917?\nAnswer: 15410861.6917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 12*l**2 + 10*l + 94. Give q(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3 - 1. Suppose z + 3 = 1, 0 = v*q - 4*z - 8. Suppose 4*h - 28 = -2*f, q = f + 2*h + 3*h - 23. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**3 + 1. Let l be u(1). Let v = 43.7 - 43.6. Which is the third smallest value? (a) v (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 10*x**2 - x - 8. Let y be d(-10). What is the third derivative of -2*p**2 - 2 + 2 + p**3 - y*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:13 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 882.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*j = 12, -5*j = -a + 2*a - 18. Suppose 2*f = a*f - 47. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6714, -6619, -6484, -6309?\n\"Answer: 20*v**2 + 35*v - 6769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, u: 2, k: 4}. What is prob of picking 2 u and 2 k?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -444068177 not equal to -444068179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20684054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5960 and 12920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -3.1. Let y = 1.4 - x. Let f = -2 - 3. Which is the nearest to y? (a) 3 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -3474?\nAnswer: -243.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - (-2595917681258)\/577502640. Let p = -2\/656253 + x. Let i = 4489 - p. What is the common denominator of -57\/22 and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -3, 77, 201, 363?\n\"Answer: -i**3 + 31*i**2 - 56*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -148, -299, -452, -607, -764?\n\"Answer: -g**2 - 148*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w + 10. Let q be o(9). Let c = -2750 - -192497\/70. Let d = 4\/35 + c. Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) + 0 + 2. Suppose -3*o - 5*d - 25 = c, o - 5*o = -2*d + 16. Let w(y) = -y**2 - 7*y - 7. Give w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22222332 (base 4) in base 15?\nAnswer: ce40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528875 is divided by 559.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73997.01 - 73997. Let k = -2 - -2.3. Sort h, -1\/3, k, -1\/6 in increasing order.\nAnswer: -1\/3, -1\/6, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3791182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 2*f + 6*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 5*n**2 - 48*n - 66. Differentiate w(j) wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270 + 66*k - 270 to the form o + c*k and give c.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 24*d + 98. Give r(0).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 544 - 538. Let w(v) = -5*v + 2. Let m(i) = -2*i + 1. Let j(o) = 6*o - 3. Let g = 2 - 16. Let k(n) = g*m(n) - 4*j(n). Determine t*k(y) + 5*w(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77, 86, 81, 56, 5, -78?\n\"Answer: -f**3 - f**2 + 19*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1400 (base 7) to base 9\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**7*q*q**(-3))**(-5\/16) assuming q is positive.\nAnswer: q**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4005 (base 6) to base 13.\nAnswer: 51b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8423, 34041, 76745, 136535, 213411, 307373, 418421?\n\"Answer: 8543*n**2 - 11*n - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7626, -7669, -7722, -7785, -7858, -7941?\nAnswer: -8034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqc when three letters picked without replacement from zczezecqxzezzcqeiz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853956 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1283923 and 25\/42947.\nAnswer: 86022841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8149283 and -0.4.\nAnswer: 3259713.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -174973.\nAnswer: 35\/174973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 3*u + 3. What is the common denominator of h(-8) and 1 + (-218)\/520*(19 + -17)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439092805, 439092806, 439092807, 439092808?\nAnswer: 439092809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i**3 + 5*i**2 - 4*i - 1. Let l = 25 + -38. Let w = l + 17. Is q(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4409\/650 - 90\/13. What is the common denominator of d and -48\/265?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(24)\/sqrt(3))*-3)\/(sqrt(4) - (sqrt(12)\/sqrt(3) + sqrt(4))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-22)\/(59400\/650)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25843 times 0.3?\nAnswer: 7752.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -36. Suppose 0 = z*f - 51 - 79. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -13, -4, 21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41466810 divided by 238315?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40b159 (base 15) to base 14.\nAnswer: -5a0862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*(2*sqrt(300) + sqrt(300) + sqrt(300)) + sqrt(300))**2 + 3).\nAnswer: 16218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33563.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103870 = -103*s + 104796 - 217627 for s.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 1228499*u + 1228499*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3271 + -3276. Let v = 0.3 - 0.5. Which is the third smallest value? (a) -2\/3 (b) w (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000333456405 to 7 decimal places.\nAnswer: -0.0003335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106230 is divided by 162.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 0 (b) -2 (c) -2\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9165025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -265 (b) 1.3 (c) 2.32 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5527 is divided by 547?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72483 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 5*-1*sqrt(76))**2*3.\nAnswer: 3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b. Let m be 2\/5*(525\/(-10))\/(-7). Let s(i) be the second derivative of i + 0*i**2 + 0*i**m + 0 + 1\/12*i**4. Determine k(s(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - c + 5*c - 16 + c.\nAnswer: c - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 309*g**2 + 460*g - 1272. Calculate t(-156).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 5*x**4\/24 + 7*x**3\/2 + x**2. Suppose 2*j = 5 + 5. List the prime factors of c(j).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhehehhhheh. Give prob of sequence eeh.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 308700 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let f = 16 - 18. Let a be (-4 + f + 7)*4. Solve -7*y + p*y + 2*c + 14 = 0, -19 = -a*y - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19, -5 in descending order.\nAnswer: -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bdf3 - 521?\nAnswer: b8d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 31 + 5*d**4 - 5*d**4 - 2*d**3 - 27 - 2*d**4 - 10 + 2*d**2 as v*d**2 + o*d**4 + s*d**3 + w*d + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**3*d**3*q + 2*a**3*d**2*q**2*t + a**3*d*q*t - a**3*q**2*t - 4*a**2*d**3*q**2*t + 9*a**2*d*t wrt d?\nAnswer: -30*a**3*q - 24*a**2*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 390 = -205. Let r = h - 356\/3. Let o = -5 - -3. What is the closest to r in -4, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -952251772 plus 4?\nAnswer: -952251768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2 (b) 0.1 (c) -100 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = 5*c + 9*o + 5, 3*o = 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693 is divided by 244.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1369 + -1371. Let o(m) = -33*m**3. Let h(g) = -1519*g**3. Give l*h(i) + 93*o(i).\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 30. Let b be t(13). Let g = 23 + -23.4. What is the biggest value in g, b, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jefkfkjjrehfe. Give prob of picking 1 h and 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*w - w. Suppose 0 = -2*m + t + 18, t = -w*m + 3*m + 22. Solve -8 = -4*p + m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/6 - w - 7. Let t(o) be the first derivative of s(o). Let g(j) = -3*j**2. Calculate g(t(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 21248.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, v: 2, r: 1, k: 2, u: 1}. Give prob of picking 1 s, 1 u, 1 r, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 2*g + 1987*g**2 - 1985*g**2. Let m(h) = -3*h**2 + h. Calculate 4*m(r) + 7*y(r).\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4963.84686 minutes to weeks.\nAnswer: 0.492445125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (3 + 0) - (1 - 22). Suppose c*p = 20*p - 10. Find the third derivative of -6*u**2 + 5*u**4 + 5*u**4 + p*u**2 + 0*u**2 wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 41 (c) -0.05 (d) -14.79 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -10, -3 in decreasing order.\nAnswer: 1, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5467000 to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1))*n*n)**(2\/27)\/(n**(-7\/5)\/n*n*(n\/(n\/(n*n\/(n*n**(1\/10)*n))))\/n) assuming n is positive.\nAnswer: n**(139\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:15 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 4*y - y as c*y + d and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - -11 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 110 = -4*t. Let y = t - -32. Let w = 17 + -7. Calculate the highest common divisor of w and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 1126*i\/5 - 3288.\nAnswer: -2*(i + 15)*(i + 548)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 1742177?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 224*t - 1822. Give m(103).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w = -96*w + 236. Let j = w + -29. Suppose 5*l - l = 24. What is the highest common divisor of l and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 16*s - 10. Let k be w(-7). Suppose -5*t + 2 = -t - 2*b, t = 5*b - k. What is the smallest common multiple of t and 6 + (-2)\/(4\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiii when four letters picked without replacement from {j: 5, c: 3, i: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505725.175 rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3)\/b)\/b)\/(b**(-4\/5)\/b)*(b\/(b**2\/b)*b)\/(b**2*b) assuming b is positive.\nAnswer: b**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11368990+-0.47867586\nAnswer: -11368990.47867586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.39894um in nanometers?\nAnswer: 38398.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 14 = 3*a + 22, -a = -5*u - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 34*g + 5. Let j be o(-35). Suppose -9110 - 2730 = -j*v. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18224 = -2637*l + 211195 for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*k*r**2 + 682218*k*r + k - 8850*r**2 - 1648 wrt k.\nAnswer: -7*r**2 + 682218*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 111901*a + 12532914. Give f(-112).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 29727*q - 1098530.\nAnswer: -(q + 37)*(q + 29690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwggwjwwg. Give prob of sequence gg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a7 (base 15) in base 7?\nAnswer: -21355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -270 (base 13) to base 12\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -4. Let s(j) = j**2 + 48. Let u be s(0). Let m = u + v. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -699513 from -4.\nAnswer: 699509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 125 = -20. Let o = 38 + s. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/(-2376))\/((-10)\/(-18)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -477, -7606, 1, -10, 2.\nAnswer: -7606, -477, -10, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*l - 17 - 4, -5*l + 43 = 4*j. Suppose 5*w = -w + j. Solve -w*x - 5 = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1 = -3*i, -4 = -7*i + 9*i + n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 14, 155, 3\/4, -1, -3\/10, 2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruelssislil. Give prob of picking 1 u and 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9599615 or -9599577?\nAnswer: -9599577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2065, -2039, -1977, -1861, -1673, -1395, -1009?\n\"Answer: 3*x**3 + 5*x - 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 2, n: 1, o: 1, p: 2}. Give prob of sequence wwp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3870750, 9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363362.8 meters in centimeters?\nAnswer: 36336280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6 + 1. Suppose -5*f + 28 = -72. Suppose 5*t + m*k - 7 = 33, -k - f = -3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*q + q - 4362 = 0, -2*p + 2*q = -4356. Let u = p - 1159. List the prime factors of u.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46327 (base 10) to base 6.\nAnswer: -554251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 76, 114, 152, 190?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 219378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 39. Is (26*(-5)\/b)\/((-2)\/(-34)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*t + 3984 = 289*t. List the prime factors of t.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1702291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:04 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 407 + 139. What are the prime factors of i?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 15, -2, 8, -3 in ascending order.\nAnswer: -20, -3, -2, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x - 14*x - 3*x.\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, 0, 4, -3 in ascending order.\nAnswer: -3, 0, 4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -288. Suppose -3*i - 2*i = x. What is the lowest common multiple of 10 and i\/(-4) + 4\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 80*z**2 - 163*z + 92. What is s(-82)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1490, 663, -162, -985, -1806, -2625?\n\"Answer: d**2 - 830*d + 2319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((128\/(-16))\/24)\/((-9)\/(-513))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -133 - 0?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-3)\/(15\/(-680)). Let l(v) = -2*v**3 - 4*v**2 - 3*v - 2. Let w be l(-2). Suppose -3*o = 4*h - 137, -3*o - h - w*h + p = 0. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4845, -9692, -14539, -19386, -24233?\n\"Answer: -4847*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 84.39857 kilometers?\nAnswer: 84398570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:55 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1637*j - 4843. What is x(-3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:47 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z + 681 = 1281 + 896 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k + 6*k + 0*k. Let p(h) = 26*h**2 + 21*h**2 - 45*h**2. Calculate p(m(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 + x**3\/2 + 3*x**2\/2 - 2*x. Let t be w(-4). Suppose t*d - 4*d = 27. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*n + 560 = 214 - 1032 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmzmmmzzz. What is prob of sequence zmm?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-20)\/(-4) - 5. Suppose 3*a + 2*z = -r*z - 16, 0 = 4*a + 3*z + 22. Sort a, 3, -2, 1 in decreasing order.\nAnswer: 3, 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o + 24 = 11*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 3*b - 6*b)*(b**2 - 18*b - 12968 + 12968) to s + n*b**3 + g*b**2 + r*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156470.016 and -0.5?\nAnswer: -78235.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/78)\/((-252)\/6552)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64786 divided by -1117?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2 + 2 + (-1649*m - 525*m + 147*m)*(5 + 1 + 1).\nAnswer: -14187*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 2*g - 9, 4*j - 241 + 272 = 3*g for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from {l: 5, e: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -70.\nAnswer: -17\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3 = d + 1, 3*d + 3*s = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5903 (base 12) in base 13?\nAnswer: -46a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391564\/44 - 19\/((-836)\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242485491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 3*l - 0*l + 2*s, 4*l - 258 = -10852*s + 10838*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-2 + -2) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 107 - 8a?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/3))**(-12)\/(b**(2\/15)\/(b*(b*b**(-3\/8))\/b)) assuming b is positive.\nAnswer: b**(-421\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1503 - (4 + 0) - (-3)\/(-3). Suppose -u = -4*z - 3*a, a + 3 = 1. Round z to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-10 - (1 + -4) - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268.66 - -318.6. Let g = q - 51. Let k = g - -0.06. Sort 2, k, 1\/2 in ascending order.\nAnswer: k, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 140 = -2*r - 9, 0 = 3*d - 9. List the prime factors of r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n**2 - 3*n + 9. Let z be f(-6). Let s = 471 + z. Suppose -6 - s = -4*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:25 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.927 + 0.073. What is the third biggest value in 2, -0.08, m?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + h + 1. Let c be f(-1). Suppose 2*r - c + 0 = 0. Suppose 3*w + r = w. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4 - x**3 + x + 2*x**2 - 1 + 5*x**2. Let d be h(7). Let v = -5 + d. What is the smallest common multiple of 6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 79, -543, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-16))\/(1829\/(-472)). Is 12 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/2 equal to 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szllsszslcssssssszl. Give prob of picking 2 z and 1 c.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 0 - 8*g**2 + 2*g**2 - 6. Let m(v) = 2*v**2 + 18*v - 6. Let u be m(-9). What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 - 872*b**4 - 61224*b**3 - 1220400*b**2 + 11407500*b - 10125000 = 0.\nAnswer: -75, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29831 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102132033 (base 5) to base 7.\nAnswer: 3426213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f - 14370 = 697*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 + 712*c**3 - 2112*c**2 + 2104*c - 700 = 0.\nAnswer: 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s + 0*s - 6*s + 12*s. Let l be p(4). Suppose n - 4*t - 25 = -0*n, -6 = 3*t. Calculate the highest common factor of l and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111990 is divided by 5031.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 314710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2. Let s(o) = -3770*o**2. Determine s(d(x)).\nAnswer: -3770*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/20, 0.06, -4\/3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 20058*d + 40103. Calculate o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991765 is divided by 157?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54462.28 millilitres?\nAnswer: 54.46228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74632 is divided by 574.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmdztqzt. What is prob of picking 1 m, 2 z, and 1 d?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -855, -852, -847?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 7*v - 4. Let g(w) = w**3 + w**2 - 9. Let q be g(0). Let k be z(q). Suppose 129 = 3*a - 7*b + 4*b, 2*a + b = k. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12855174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/2*((-25)\/350)\/(1\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 68, 72, 78, 86?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3429*v - 8628.\nAnswer: 3429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:49 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 + (4 - (-6 + 9)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -86. Let r = 81 - a. Let j be -2 - (0 - r) - (-1 - 5). Is j > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)*-3)\/(5*sqrt(1210) - sqrt(1210) - sqrt(1210)).\nAnswer: -6*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 greater than -579\/3278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a micrometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2 + (-14)\/8). Suppose j + 5*q + 48 = 67, -j + q + 13 = 0. Solve -h = -4*x, -x + 5*x - j = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4356 from 1.\nAnswer: -4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -20202444?\nAnswer: 20202425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most as big as 1677\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1855.94 - 1856. Which is the third biggest value? (a) t (b) 1 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*12*(-4)\/96.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 28 + 81 - 59 = 0. What is the nearest to -1\/7 in -2, 3, -1\/9, t?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = -629*s + 711*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c - 8475 = 0. Suppose -j = -3*r + c, -2*r = -j - 1027 - 104. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 119146843 = -142443118 - 149978039. What is o rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/100680316 and 29\/380.\nAnswer: 503401580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -300059 divided by 61?\nAnswer: -4919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from sjhjhkko.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:43 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388366.\nAnswer: 2, 7, 31, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 17*b**2 + b + 37. Suppose -5*o = -5*x - 75, -2*o - 27 = x + 3*o. Calculate the remainder when 72 is divided by k(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 22850 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:48 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -443, -978, -1717, -2654, -3783, -5098?\nAnswer: -6593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 992705037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 greater than 325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137.493 months in years?\nAnswer: 261.45775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by 146\nAnswer: -109\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -53. Let q = 0.1 - 0.9. Let p = t - q. What is the third smallest value in 3, p, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 - (-2)\/4*-4. Suppose 5*u = -2*n + 54, 0*u + u - 16 = -3*n. What is the greatest common divisor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.1, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -1 in decreasing order.\nAnswer: 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52282 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 88*g\/3.\nAnswer: -2*g*(g + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1185, -2371, -3561, -4755, -5953?\n\"Answer: -2*x**2 - 1180*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882*h**2 + 227*h**2 + 3245*h**2 + 2793*h**2.\nAnswer: 5383*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 0)*(0 + 2 - 1)*(11*o + 50*o + o) as p*o + u and give p.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -15785.05789 to the nearest ten.\nAnswer: -15790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/153 and -32\/867.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, t: 1, e: 4}. Give prob of sequence nenn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -7*q**6\/36 + q**5\/6 + 11*q**4\/6 + 2*q**3\/3 - 39. What is p in m(p) = 0?\nAnswer: -2, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12808 + 12803. What is the nearest to 2.7 in 1, 0.06, 0, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l - l + 7*l to v + t*l and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46319 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6*m + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176926 < 32707699\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {o: 2, s: 12, c: 3}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:16 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61258?\nAnswer: 2, 109, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4511*f**2 - 18*f + 4 + 18*f.\nAnswer: -4511*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7843?\nAnswer: 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.179666977 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 30 = 2*w - 4*w, 3*j + 11*w - 52 = 57 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f + 4*w, 8 = 3*f - w - 0*w. Solve f*r - 1 - 3 = 0, 4*p = -5*r + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 23817960?\nAnswer: 119089800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a factor of 4495229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 - -0.3. Let c = 198 - 1780\/9. Let o = 0.3 + -0.4. What is the nearest to o in t, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 2*i**2 - 2*i - 29. Let o(z) = 6*z - 3. What is 5*o(a) - 8*w(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h + 1539 = -15*h - 16*h. Is h >= -453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 153?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 76\/7, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. Suppose 2*p = -v*p, 0 = r + p - 3. Solve -26 = 4*m - 5*q, -r*m - 9 - 7 = -2*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880341697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:43 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*5\/15*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(6\/7 - 1). Suppose -4*h + t = -9. Find the second derivative of h*l + l**2 + 0*l**2 + 0*l**2 + l**2 wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*s - 306992 = -1420*s - 92477 for s.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 24. Let y = 1 - l. What is the remainder when 20 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284243 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*x**3 - 11793*x + 11793*x)*(x - x + x)*(-5 + 3 + 3) to the form c*x**3 + o*x + m + k*x**2 + f*x**4 and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + k - 2637 = 0, -n = k - 281 - 382. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 255 or 254?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - ((-4 - -6) + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30492 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 11. Let r(y) = -6*y - 10. Give 5*g(j) - 4*r(j).\nAnswer: -j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 20*m**2 - 55*m + 30.\nAnswer: 5*(m - 1)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 4*t - 4*t + (-3*t**2 + 5*t**2 - 3*t**2)*(0 - 4 + 2) + (-2*t - t + 7*t)*(-2*t + 0*t + t) + 8*t**2 + 7*t**2 - 6*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 114368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 434.5655?\nAnswer: 3476.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 244 - 63 - 15*v + 93. Let a be x(18). Find b, given that -9\/4*b**2 + 9\/2*b**3 + 0 - 3*b**a + 3\/8*b = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1120\/18 - -18) + (6\/(-51) - 176\/1683)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -868, -915, -964, -1015, -1068, -1123, -1180?\n\"Answer: -v**2 - 44*v - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2. Let h(r) = -61363*r. What is h(p(k))?\nAnswer: 184089*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -21*k - 3. Let l(u) = 13*u + 2. Let j(t) = -8*l(t) - 5*w(t). Let f(p) = 2*p - 2. What is -2*f(q) + 6*j(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 - -344. Let r = p - 158. What is the smallest value in 15, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 21*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - y = -67, 5*j + 0*y = -y - 63. Let r = -9 - j. Calculate the lowest common multiple of 3 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2273, 4970, 8089, 11630, 15593, 19978?\n\"Answer: 211*m**2 + 2064*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -571, -901, -1263, -1657?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6744 = 5*x, 3*x = -m + 2726 + 1322. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51222*z + 161*z**2 - 15*z**2 - 51224*z.\nAnswer: 146*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001373128403 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -14*s + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:08 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2, 4*t - 10 = 4*x - 5*x. Solve t*p = -7 + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 9*r**2 + 2*r - 13. Give n(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*w = 59, 0 = 4*v + 103060*w - 103054*w + 68 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 11) to base 10\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*t = 1020*t + 27650 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 37. Suppose 0 = b + b. Let y = 0 - b. Let v be i(y). What is v rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 38*r + 32. What is v(5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*15\/(-10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*o + 11 + 9, 4*o = -8. Let m be 3 + ((-2)\/(-11))\/(((-384)\/(-132))\/16). Calculate the highest common factor of n and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3880051*z**2 - z + 3269174 wrt z.\nAnswer: 7760102*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15982\/(-244) - -1*1\/2. Is -32 + 34 - 9*w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*s = 20, 0 = -s + 1 + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 481.9 - 482. Let f be ((-18)\/(-60))\/((-6)\/(-4)). What is the biggest value in f, 0, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k + 374 + 51. Suppose r = y + 80, 2*r - y = 126 + 36. What is the remainder when r is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187*y**2 + 729*y + 603*y**2 - 726*y + 0 + 0 + 603*y**2.\nAnswer: 19*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-1582)\/(-339))\/((-4)\/3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.871 - -0.129. Which is greater: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1900) + (sqrt(1900)*-3 + -3 - sqrt(1900)) + sqrt(1900))**2.\nAnswer: 120*sqrt(19) + 7606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -78. Suppose -3*k + q = k. Suppose k*m - 48 = 8*m. Calculate the smallest common multiple of 9 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 7*p**2 + 2*p - 12. Suppose 3*a - 2*c - 17 = 0, -2*c = a - 5 - 6. Let l be o(a). Solve -5*i = -l*i + 2*z - 14, 3*i - 15 = -3*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8591 * -5.\nAnswer: -4.2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5*x, -4*s - 19*s - 4*x + 15 - 34 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -33*d**2. Let s(q) = 1255086*q**2. Give s(n(b)).\nAnswer: 1366788654*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 956\/5 - 191. Which is the third biggest value? (a) 11\/2 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j**2 + j - 3. Let m be a(-3). Suppose v - 6 = -3, 15 = 3*l - m*v. Solve 0 = t - 0*t - 4, -2*w = -2*t + l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/(w**13\/w))))*w*w\/(w*w**(2\/5)))\/(w**2*w)**(-3\/13) assuming w is positive.\nAnswer: w**(864\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) - 324\/(-10). Let b = 449 + -445. Let n be b\/14 - (553\/49 + -6). Put n, o, 4 in decreasing order.\nAnswer: o, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -5 (c) 80 (d) -2\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 907*v**2 + v**3 + 632*v**4 - 1134*v**4 + 319*v**2 - 140*v**2 wrt v?\nAnswer: -12048*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10049 and 45607?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 - -2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 + 12*x + 13. Let o(i) = i**3 - 30*i**2 - 25*i + 2268. Let b be o(28). Calculate q(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(228) + sqrt(228)*2*-1 + sqrt(228))\/(sqrt(12) + 2*sqrt(192) + sqrt(192)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20*x**2 - 120*x + 4. Let a be l(-6). Solve 10 = -v + 4*v + 5*s, 4*v = a*s - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by 39700?\nAnswer: -44\/1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3805941 and 69?\nAnswer: 87536643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 976 divided by -7.\nAnswer: -976\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.327314 less than 110?\nAnswer: 110.327314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h + 536874*h**2 - 3*h**4 - 15*h**3 - 536828*h**2 + 4*h**4 - 128 = 0 for h.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 11331 + 0*m + 11331.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -35 (b) 4 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 16. Let b be 12\/(-7) - 2*-1. What is the closest to -0.1 in 0.4, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from ykkqn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -9 (b) -2422 (c) 0.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*66\/72 - (-5)\/30. Suppose 2*z + 62 = c*r, -9*r - z = -12*r + 103. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -2914?\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/448706160 and 53\/112.\nAnswer: 448706160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3760925 - 3760925 - 2640*h.\nAnswer: -2640*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 7*s + 14. Give i(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.3. Let y = -50 - -49.6. Sort 0, s, y in increasing order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424633.8*0.4.\nAnswer: -169853.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -87\/124, 3, 1\/6, 1\/2, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456810 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -1192, -2684, -4762, -7420?\nAnswer: -10652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/257752875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3972 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329175 and 2409?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {s: 1, b: 1, h: 6, u: 2, q: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, -48, -13, 1 in descending order.\nAnswer: 19, 5, 1, -13, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 58*s + 1. Let m(b) = -15*b + 1. Let g(p) = 4*m(p) + o(p). Let q(v) = -5*v + 11. Let c be (-8)\/((2 + -4)\/(-1)). Calculate c*q(y) + 9*g(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21000 + 5124 = 588*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 56 + 9*n + (-1 + 2 + 1)*(3*n - 3*n - n) - 2 + 2 - n + (4 - 6 + 4)*(-2*n + 4 - 4) - 5 - n + 5.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3092496 divided by 46856?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 1.05\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58332409 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) 1\/11 (c) 0 (d) -127269 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/3)\/g**(-1\/2)*g**(-2)*g\/(g\/(g*g**(1\/3)\/g*g))*g**(-2\/3)\/(g\/(g\/g**(-7)))*(g*g**0)**(-10) assuming g is positive.\nAnswer: g**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42919*h*p - 20641*h + 2 wrt p.\nAnswer: 42919*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.054 * 33704\nAnswer: -1820.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5379166 and 572.\nAnswer: 118341652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d + 1437. Let k(n) = n - 4. Give 8*k(j) + o(j).\nAnswer: 2*j + 1405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 376*g - 11. Let z(d) = -75*d + 2. Let a(k) = 2*t(k) + 11*z(k). Let x(c) = 2*c. What is x(a(p))?\nAnswer: -146*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -79 (b) -5 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100) - sqrt(11) - (-1*sqrt(44))**2) + 1*(sqrt(11) - (sqrt(11) - ((sqrt(11) + -1)*4)**2)))*1.\nAnswer: -23*sqrt(11) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25070336 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let w be p(-2). Let s = w - -3. Solve 0 = s*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:08 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7161043.264 + 5\nAnswer: 7161048.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -556774.8 + 35272.8. Let n = l - -521514.99985. Let s = n - 13. Round s to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3847 + -3813. Which is smaller: 64 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166452243*l**3 - 83226118*l**3 - 83226162*l**3.\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and -169220.\nAnswer: -169207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-48)\/64 + (3 - 0) + (-47559)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3\/5, -2, -0.2, -34 in decreasing order.\nAnswer: 3\/5, -0.2, -0.7, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - x + 2*x - 3*x + 8 = 0, 0 = -3*q - 2*x + 217 - 218 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgiiiriiizzigdi. Give prob of picking 1 i, 1 d, and 2 g.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -507.\nAnswer: 1\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 + 1742*a**2 + 575*a + 3421. Calculate g(581).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10 - 1 - (-29360)\/(-18350) - (-9)\/(-5)\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -5. Let x = 117 + -115.2. Let j = -3 + x. Which is the second smallest value? (a) j (b) g (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -19, 5, 4 in increasing order.\nAnswer: -19, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = x - 18 + 4, -x - h + 2 = 0. Suppose -x*c + 29 + 26 = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = w + 3 + 2, -5*w - 22 = -4*t. Suppose -356 = -t*r + x - 76, 385 = 4*r + x. List the prime factors of r.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608375 and 775.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 7. Let n(m) = m + 11. Let c = 45 - 40. Calculate the least common multiple of u and n(c).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*c**2 - 65*c + 20*c**2 + 17*c**2 + 19*c**2 + 20*c**2 + 70.\nAnswer: -5*(c - 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(0 - 6\/(-8)). Let w = -37 - -42. Suppose 2*r + 10 = 0, -g + 0*r + 23 = -w*r. Sort g, h, -1 in decreasing order.\nAnswer: -1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 - 694*r**2 - 1152863*r + 870814308 = 0.\nAnswer: -1092, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r + 189. Let j be p(-15). Solve -20 = 35*o - j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -175, -177, -179?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4680739, 4680752, 4680765, 4680778, 4680791, 4680804?\nAnswer: 4680817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27688844 and 109.\nAnswer: 27688953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9729056*p - 15831983.\nAnswer: 9729056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 2 + c**2 + 17.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 2, 7, -4, -37?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/(-15)*140\/112.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -0.3, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*-1*1)\/sqrt(10)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*m - 8*m = -4*x - 77 - 137, -2831 = 61*x - 5*m for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 1152256?\nAnswer: -1152250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 64.7.\nAnswer: -12.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 29. Suppose -d = 2, z - w*d = -1 + 20. Let u(x) = 58*x**2 - x + 1. What is the remainder when u(1) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -25. Calculate the least common multiple of 24 and 99\/k + 7\/35.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 - 102\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56637.66 years to decades.\nAnswer: 5663.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.2 (b) 1\/6 (c) 229.54 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:03 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326448 + -1676.\nAnswer: 324772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 590 - 5308\/9. What is the nearest to 2\/5 in -2\/9, w, 17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - (-6 - -4) - -48) + -10 + 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*s*y**4 + 57*s*y**2 - 4*s*y - 8*s + 3*y wrt y.\nAnswer: -96*s*y**2 + 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 29*i**2 + 86*i - 7. Let u be h(4). Solve 5*n = 5*f - 5, u = -4*n + 7*n - 5*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11701591 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1332 + 727 + 764)*(-22 + 9*c + 22) in the form o*c + g and give o.\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4176, 4169, 4160, 4149, 4136, 4121?\n\"Answer: -o**2 - 4*o + 4181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywtdtdy. Give prob of sequence dy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 198. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**2*w**3 + 9760*t**2*w**2 - t**2*w + 10*w**5 + 5672*w**3 - 17*w**2 wrt w.\nAnswer: -6*t**2 + 600*w**2 + 34032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1737*s - 12168. Determine k(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + p + 2*p + 4*p - 2*p - p + (-3 + 2*p + 3)*(4 - 3 + 0) - p - 2 - 11 + 2 in the form c + d*p and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18*i + 2. Let v(h) = 2*h. Let t(q) = -40*v(q) - 5*y(q). Suppose -37 = -2*f - u, 4*f - 5*u = -3*u + 62. List the prime factors of t(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 183617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/3 + 27*c**5\/10 - 5*c**4 + 8*c**3\/3 + 90*c - 158. Let n(d) be the first derivative of m(d). Factor n(f).\nAnswer: -2*f*(f - 4)*(f - 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*x - 7, 2*x - 10 = 2*b - 0*b. Let r(v) be the second derivative of 0*v**4 - 1\/2*v**3 + v + 1\/20*v**5 + 0 - v**x. Factor r(u).\nAnswer: (u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 498\/14 + (-3)\/(-7). Suppose 4*g - j = h + 12, 0 = -4*g + 4*h + 60. What is the remainder when 30 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -88*s + 57. Let c be j(-15). Suppose 86*w - c = 83*w. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**6\/60 + 11*m**5\/120 - 5*m**4\/48 - m**3\/6 - m**2 + 1. Let d(h) be the second derivative of y(h). Factor d(o).\nAnswer: -(o - 2)*(o - 1)*(4*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -227, -668, -1403, -2432, -3755, -5372?\n\"Answer: -147*q**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282124 is divided by 114.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4 - 3 - 13*o**2 + 10315*o - 10314*o. Give q(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235623940 rounded to the nearest one hundred thousand?\nAnswer: 2235600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 30 - 10 + 43 - 5*o + 3*o. Let h be s(29). Solve 3*z = 3*g - 12 - 0, 0 = -h*g + z + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 - 112*h**3 - 118*h**3 - 16*h**3.\nAnswer: -235*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(480) - (sqrt(480) + sqrt(480)*-1 - sqrt(480))))\/(((-1*sqrt(250) - sqrt(250)) + sqrt(250))*-1).\nAnswer: -16*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/42 and -81\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 6*i - 6. Let z be y(-4). Let t = z + -28. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = s + 5*l - 15619, -3*l + 46851 = 3*s. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 14*k**2 - 5*k. Let y be v(9). Is (2\/(-5))\/((-9)\/y) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1922, -7694, -17316, -30788, -48110, -69282, -94304?\nAnswer: -123176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s - 4*s + (-2*s + 0 + 0)*(4 + 1 - 4))*(-231 + 118 + 113 + 2314*s**2 + 16857*s**2) to the form x + h*s**3 + w*s + n*s**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/13532438 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:51 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1028 divided by -356\nAnswer: 257\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50496498?\nAnswer: 2, 3, 13, 215797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 - 1 - 2 + 4 + (3 - 1 - 4)*(0 + 3 - 5) - 13 - 105 - 11)*(3 - 6 + 2)*(i - 2 + 2 + (-4*i + i + i)*(3 + 0 - 2)).\nAnswer: -122*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6190908 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/8*c**2 + 56*c - 6272 = 0. Calculate c.\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -580*s - 5292. Determine n(-12).\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 133325 = -446284. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/9384 and 17\/9660.\nAnswer: 328440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 16, 241?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:11 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16672140*u**2 - 69942754*u**2 + 10938757*u**2.\nAnswer: -75676137*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 885132.3cm in millimeters?\nAnswer: 8851323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11 = 5, 2*u = 4*x. Let t(m) = -26*m**2 - 41*m + 45. Let s(n) = -5*n**2 - 8*n + 9. Let p(r) = x*t(r) + 11*s(r). Let p(d) = 0. What is d?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 1:34 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -205, 5?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1795, 779, -1979, -7349, -16201, -29405?\n\"Answer: -145*v**3 - v**2 + 2*v + 1939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169847046 to the power of 1\/2, to the nearest integer?\nAnswer: 13033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 116 = -f. Suppose 5*o - u - 147 = 0, -4*o - 5*u + 164 = f. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 14*d**2 + 30*d - 6. What is r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 7*o - o - 4*o + 23*o.\nAnswer: 25*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/1*16. Let v = x - -2. Let i(d) = 10*d**2 + 12*d - 2. Let a(u) = 13*u**2 + 14*u - 3. Let r(w) = -3*a(w) + 4*i(w). Calculate r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 50, 39, 44, 77, 150, 275, 464?\n\"Answer: 2*u**3 - 10*u**2 + u + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jggjkkggjjgjggggj. Give prob of sequence jkkg.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 683 - 3451\/5. Let k = -1590 + 9511\/6. Find the common denominator of a and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*g**3 - a**2 - 6*a*g**3*z**3 + 4*g**3*z**2 - 15*z**3 + 3*z**2 wrt a.\nAnswer: 6*a*g**3 - 2*a - 6*g**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -115*s - 103. Let p(u) = 115*u + 102. Let f(x) = -6*g(x) - 5*p(x). Differentiate f(o) wrt o.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*w - 17, 5 = -2*i - 2*w - 9. Let n be i\/2 - (-35)\/10. Find the third derivative of 5*p**3 + 3 + 1 - 4 + p**n wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 4) in base 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 6*f + 51 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 195 = -3*u, -5*u + 423 = q + 96. Suppose w - 4*y - 33 = 0, 0*y + y + u = 3*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 50 = 3*d - 38, -2*o + 3*d + 30 = 0. Calculate the lowest common multiple of o and 615.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49314 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012 + 1595 = 79*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 92. Suppose 0 = -x*y + j + 74, 4*y - 88 - 7 = 5*j. Calculate the highest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-3) + 6 + 1548\/(-189) and ((-36)\/14)\/((-22)\/14).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 20 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 95 = 6*f, -1919 + 1947 = 3*f - w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 2*b)*(-b**3 - 2*b**3 + 6*b**3) - b**4 + 2*b**4 - 3*b**4.\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 16*m + 85. Let g be a(-20). Suppose y + 0*j - 244 = g*j, 3*y - 3*j - 732 = 0. List the prime factors of y.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 224*j**3 + j**2 - 2*j + 7. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*-3 - sqrt(10))\/(sqrt(6)\/(sqrt(12)\/sqrt(4)) + sqrt(2))*1.\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137062560 a multiple of 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 65432 (base 7) to base 5\nAnswer: 1010330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t - 2 + 2)*(-t + t - t) + 58 + 0*t**2 + 2*t**2 - 2*t - 59)*((5 - 4 + 2)*(-6*t - 5*t + 4*t) + 3*t - 2*t - 2*t).\nAnswer: -22*t**3 + 44*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k + 7805 = 6109. Calculate the least common multiple of k and 2992.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 - -8) + -1 + -1. Let q be -3*1 - (v - 6). What is the lowest common multiple of 94\/14 + 2\/q and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -8*h**3\/3 + 13*h. Let l(d) be the third derivative of d**4\/24 - 4*d**2 + 42. What is l(z(r))?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 574419938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 + -72. Let x be (3 - 15\/9)\/((-10)\/v). Let t = -7 + 6.9. Is t less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**8\/168 + 2*q**7\/35 - 2*q**5\/15 - q**4\/12 + 29*q**2. Find the third derivative of g(c) wrt c.\nAnswer: 120*c**2 + 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 9744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (-1 + sqrt(112) + 3 + 4)*5*-1)**2.\nAnswer: 1080*sqrt(7) + 3525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-6)*7992\/(-17316)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2174?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 332611, 1329790, 2991757, 5318512, 8310055, 11966386, 16287505?\n\"Answer: 332394*x**2 - 3*x + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 != -120981\/545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 163379 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 0*r**2 + 1 - 4*r**2 + r**3 - r**4 in the form l*r + g + q*r**3 + x*r**2 + a*r**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2. Let n be v(1). Let j(g) = -4*g**2 + 6*g. Let o(f) = 5*f**2 - 7*f. Let i(c) = -6*j(c) - 5*o(c). Give i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 + 0)*(1 - 2 - 2) - 1 + 0 + 5)*(p**5 - 3*p**5 + 0*p**5).\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4846 + 29*o**3 + 4846)*(-2*o**2 + 0 + 1 + o**2).\nAnswer: -29*o**5 + 29*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 44 = 2*a, a + 442 = 5*x - 442 + 861 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 48*u**2.\nAnswer: -2*u**2*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19202285.\nAnswer: 5, 73, 52609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**5 + 30*i**4 + 8800*i**3 + 82170*i**2 + 138085*i + 64680 = 0.\nAnswer: -33, -8, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -6*j + 11*j - 51 - 34, -4*l - 6*j = -64 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-16) - (-37 - 6057\/(-168)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 975711022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 5*f**2 + 6*f + 4. Let h be c(-8). Let t(i) = 24*i**2 - 26*i - 3. Let g be t(-2). Which is greater: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.423\nAnswer: 0.1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(11))**2 + sqrt(66)\/sqrt(24).\nAnswer: sqrt(11)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1064)\/1463)\/((-40)\/(-2090)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.973*1383.\nAnswer: 4111.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*r - 5*n - 21, 0 = -2*r - 5*n - 39. Let s = r - -12. Suppose 25 = -d + 2*d. Solve 3*u - 2*c + s = 0, 0 = -5*c - 0*c - d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*a - 0*p - 4*p, p + 110 = 2*a. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/20*2 - -4. Let t = -12 + 6. Let p = t - -10. Solve j*v - p*v = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = 101 + 163. Is (148492\/h)\/((-5)\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 - 1?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/17)*f)\/f**(-24))**(4\/9) assuming f is positive.\nAnswer: f**(1676\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 13 - 3*a**2 + 8*a - 7 as f*a**2 + r + s*a and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/6*1320\/8470?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 444 - 441. Let z = -20 + 20.1. What is the third biggest value in s, 40, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-38 - 17631\/(-459)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35159737.\nAnswer: 4027, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 232210002 (base 4) to base 2\nAnswer: 101110100100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15255539*y**3 - 1730165*y**2 wrt y.\nAnswer: 91533234","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 61, 3\/20, -3\/4, 0.4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2 - 4. Suppose 5*h + 4*p + 25 = 0, x*h - 3*p = 6 + 7. Does 8 divide ((-1)\/h)\/(5\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 221872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 120*i**2 - 328*i - 1202. Calculate x(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2*c + 121. Suppose 25 = -5*d - 0*d, 2*q + d - 299 = 0. What is the remainder when q is divided by k(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 + -21ebbd?\nAnswer: -21eb65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4660 - 4612. Which is the fourth smallest value? (a) 2\/7 (b) 2 (c) 1\/6 (d) 0.1 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1210)\/(-231)*7\/(-8) and 82\/369 - (-1)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2922279250 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**4 - 2254395*c**2 + 1071*c + 1089?\nAnswer: 36*c**2 - 4508790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.29331mg in micrograms?\nAnswer: 10293.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 30*j**2 + 28*j**2 - j + 9*j.\nAnswer: -2*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/5))\/x**4)\/(x\/(x**1\/x*x))**(-45))**38 assuming x is positive.\nAnswer: x**(-646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*f = -2758 + 639 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vitirttrrivvv. What is prob of picking 1 r and 1 v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than 2411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.83 and -0.05.\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/9)*r**(-2\/7))\/(r**(-3))**(2\/7) assuming r is positive.\nAnswer: r**(106\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6846 and 25242?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*i - 1, 5*n - 30 = 3*i - 1. Let w be (-1)\/(-2) - i\/6. Let x be w + 5\/(5\/4). What is the highest common factor of x and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 37*o**2 + 0 + 0*o**3 - 1\/30*o**6 + 0*o + 7\/6*o**4 + 2\/5*o**5. Find b, given that s(b) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2535 - 2)\/((0 + -3)*40\/(-120)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007411 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 15*z**4 + 180*z - 175\/3*z**3 - 30*z**2 - z**5 - 39. Factor c(f).\nAnswer: -5*(f - 6)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*t**2 - 341*k**3 - 103*t**2 with respect to t.\nAnswer: -2*k**3*t - 206*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 164318104 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 - 2463*z - 61 + 2486*z to m + w*z and give m.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41744 - 16234. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 8*x + 3. Let o be d(8). Suppose 6*b - o*b = 0. Solve b = 2*c - 15 + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 574*c**2 - 573*c**2 + c - c - 12*c**4 + 3*c**3 - 5*c to p*c**3 + k + q*c**2 + d*c**4 + g*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 4*g**2 + g + 4. Suppose v - 3*v - 8 = 0. Let q be t(v). Suppose q*d = -6*d + 72. Calculate the greatest common factor of 132 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 133801474\nAnswer: -40140442.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 7*m**2 + 29*m - 23. Suppose 3*s = 4*c - 42, -4*s + 27*c = 28*c + 37. Determine q(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 3146\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -61636 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1218\/105*(-58)\/(-8). Let q = 423\/5 - y. Suppose q*z + 0 - 7\/4*z**2 = 0. Calculate z.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/(-3)*-3. Which is the third smallest value? (a) -1 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215 and 1935.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 0*b + 0*b - b + (2*b**2 - 2*b**2 - 9*b**3)*(-1 - b + 1) to q*b**3 + w + o*b + u*b**2 + y*b**4 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-431*a - 14*a**2 + 433*a - 3 + 1)*(-3 + 0 + 1) as p*a**2 + u + o*a and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**3 - 5*a**2 - 4*a + 6. Let q(u) = 11 - 3*u**2 + 11*u**3 + u**2 - 7*u**2 - 7*u. Suppose 8*k - 135 = -79. Determine k*s(x) - 4*q(x).\nAnswer: -2*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(75)) + -1 - -3*(4*(0 + sqrt(75)))**2) + -4.\nAnswer: -10*sqrt(3) + 3597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544 (base 8) to base 5.\nAnswer: -2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 0.061.\nAnswer: 1.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3, -6, 93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -33*y + 31*y - 1593, -1593 = -3*s + 3*y. Is 0.3 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:47 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - u + 6*u)*(2 + 3*u - 2) + u**2 - 4*u**2 + 2*u**2 in the form r*u**2 + h + j*u and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70227 + 0.\nAnswer: 70227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -15 + 44 + -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 14. Let v be d(0). Let n be -9 + v - (-6)\/(-1). Let s be (-6)\/24*(-2 - 0)*n. Which is the closest to 0? (a) 4 (b) s (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbcbcbsssblsvstbs. Give prob of picking 1 s and 3 b.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -161.99 + -0.4\nAnswer: -162.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37696112*a*g - 28250613*g wrt a?\nAnswer: -37696112*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -108408?\nAnswer: -29\/54204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46325 is divided by 348?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.853431 milliseconds to days.\nAnswer: 0.0000029612665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-12)*3*(-476)\/(-68).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 + (-62)\/4 + 22\/4. Solve -5*l = 1 - 6, 0 = -4*f + w*l - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23410 - -23795. Put -0.07, r, -1\/7 in descending order.\nAnswer: r, -0.07, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 2*c + 10*c + 1.\nAnswer: 8*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23380478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -12?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 + -172. Let b(m) = -m**3 + m + 21. Let r be b(0). Let q = r - 23. Sort f, -3, q in descending order.\nAnswer: f, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44656*r + 26127.\nAnswer: 44656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (674 + 576 + 1554)*(-f + 2*f + 0*f).\nAnswer: 2804*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 - 3*l - 2. Calculate b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one eighths of a day?\nAnswer: 9180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-114)\/10 - 9\/15. What is the units digit of d\/(-2)*(-3)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1216) - (-2 + sqrt(57)\/sqrt(3) + sqrt(19))) + sqrt(171) + 1 + (sqrt(19) - sqrt(19)*1) + 0)**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -158, -237?\n\"Answer: -79*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - y**2 - 3*y + 2. Calculate the smallest common multiple of 16 and o(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:29 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279212638 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.77 in -5, 18, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6763\/4 (b) -11 (c) 5 (d) -1 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 3\/4 (c) -4235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 - 66 = -5*k - 26*l, 4*k + 8*l - 9*l = -14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 66 = -0*v. Suppose -2*n - 94 - 136 = 0. Let f = n + 179. Calculate the remainder when f is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -22, -4062, 1\/2, 2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 7, r: 2, d: 2}. Give prob of picking 1 d and 3 u.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -825 + 1713\/2. Calculate the common denominator of l and (-270)\/(-272)*(-16)\/(-12).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 8*y**2 - 26. Suppose 5*d = -2*j + 2*d - 16, 2*j = -4*d - 18. What are the prime factors of c(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -49*x**3 + x**2 - 212*x - 6. Let u(c) = -197*c**3 + 3*c**2 - 849*c - 22. Let m(l) = 11*b(l) - 3*u(l). What is the second derivative of m(g) wrt g?\nAnswer: 312*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((203\/7)\/(-319))\/(8\/(-1848)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -5*m. Let o(c) = c**3 + 17*c**2 + 15*c - 11. Let y be o(-16). Sort -4, y, m.\nAnswer: -4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-201.\nAnswer: -6231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - i + i)*(-2 + 0 - 1) + (4 - 6 + 3)*(i + i - 3*i) - 53*i + 25*i - 48*i as n*i + t and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15615 divided by 6.\nAnswer: 5205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-837)\/63)\/(390\/(-156)*(-6)\/(-70)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 77.1.\nAnswer: -30.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 24, 82, 170?\n\"Answer: 15*t**2 - 17*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 591539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 69. Let w = b - 43.9. Let d = w + 0.1. Round d to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 399227953 from -0.19735.\nAnswer: -399227953.19735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*j + d - 20, -d = 4*j - 18. What is the second derivative of 2*l**4 - j*l**4 + 5*l**4 + 2*l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 2. Let n be d(-2). Let m be (2\/6)\/((-2)\/n). What is the units digit of (1*3)\/(m\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*h**4 + 10 + 55*h + 10*h**2 + 15 + 153*h**3 - 5*h**5 - 203*h**3.\nAnswer: -5*(h - 1)*(h + 1)**3*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2. Let d(k) = 2*k + 9. Calculate s(d(v)).\nAnswer: 12*v**2 + 108*v + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2. Suppose 0 = 3*r - r + 4, -h + 4 = -r. Let z = -4 - -8. Let i(o) = -2*o**h + z*o**2 - 5*o**2 + o**2. Determine i(w(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/40392 and 73\/2.\nAnswer: 40392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13\/(-3))\/((-2)\/6). Suppose 0 = -3*n - h - 2, z = n + 51. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 43 = 5*o + 4*d, -d = 3*o - 10. What is the highest common divisor of 8 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242813.\nAnswer: 242813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6408478931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2010749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28.2 times 1398.6\nAnswer: -39440.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26329967?\nAnswer: 1223, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30919*0.4.\nAnswer: 12367.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284\/285 + -63\/95. Sort -0.71, 0.2, v in decreasing order.\nAnswer: v, 0.2, -0.71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 4*s**2 + 3*s**3 + 6*s**2 - 11*s**2 as m*s**2 + k*s**3 + f + h*s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3607, -14332, -32163, -57070, -89023, -127992, -173947?\n\"Answer: 5*g**3 - 3583*g**2 - 11*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4*u + 30. Suppose 0 = -2*s - u + 103. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 greater than 287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/815973 and -36\/203?\nAnswer: 5711811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(-27*a**4 + 7*a**4 + 17*a**4) to the form k*a**4 + p*a**3 + t*a + y + x*a**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, -50, 3, -24, 6.\nAnswer: -50, -24, 3, 6, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20031 - -10?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 4*q + q)*((-3*q + 0*q + 4*q)*(1 + 1 - 1) - 2*q + 2 - 2) as y*q**2 + j + u*q and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 59 + (-25 - -16) + 3\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1 - -5) + 135 + -137\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l**3 + 4. Let k(u) = 43*u**3 + 7. What is -7*i(h) + 4*k(h)?\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/((-4725)\/10) - (0 + (-187)\/9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9709 + 9694 - 19429 - m.\nAnswer: -m - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w - 1. Let f be a(2). Let z = f - 14. Let q = z + -1. Calculate the remainder when 10 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 1061996.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d. Let z(u) = 6*u**2 - 7*u. Let i(k) = k**2 - k. Let g(f) = 14*i(f) - 2*z(f). Give n(g(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.39 - -9.53. Let v = r - -0.08. Let h = v - 16.9999991. What is h rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjojjj?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731617.\nAnswer: 1731617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 73 - 251 - 732 = 0 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + 0.2. Suppose m + 71 = 305. Let q be (3 - m\/75)*-5. Which is the second smallest value? (a) t (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 0*b - b - 9*b**2. Let c(w) = -776*w - 2. Let g be c(-4). Let d(u) = 2*u**2 - g + 3102. Give v(d(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1297?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3650045574 - 3?\nAnswer: -3650045577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 12:36 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3148 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437478865.\nAnswer: 5, 241, 439, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3508066?\nAnswer: 2, 1754033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 + 4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -14. Suppose -20 = -2*s + 6*s, 0 = 2*a - 4*s - 28. Solve 5 = w - i, -2*w = a*i + t - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 112, 165, 228, 307, 408?\n\"Answer: v**3 - v**2 + 49*v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 18. Let s = -1.4183 - -1.9183. Which is the second smallest value? (a) -1 (b) l (c) s (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-36)\/(-192901)) + 4\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(36)\/(2*-1*sqrt(2)))\/(sqrt(36)*-1*2)*-2)**2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8367 + -8422. Put q, 3, -11, 1 in decreasing order.\nAnswer: 3, 1, -11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 + 27*z**3 - 9*z**2 + 9*z**2.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610*k**5*m + 1860*k**3*m - 127*k**2*m - k**2 - 2*k + 57*m - 2 wrt k?\nAnswer: 36600*k**2*m + 11160*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-21) - (3 - 7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3*m + 7. Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/21 and 32\/(-185)*(-119)\/204?\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 5*q)*(-110 - 112 + 86 + 3 + 0 - 2 + (-3 + 2 + 0)*(-3 - 3 + 5)).\nAnswer: 670*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126982*i + 11253 = -126641*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86819261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930990.\nAnswer: 2, 3, 5, 31033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137256253 - -75743735. Suppose -5*z - 4*g = -2*z - 127799988, -5*z = 4*g - m. Round z to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v + (-6*v + 4*v + v)*(-23 + 38 + 34))*(-2 + 3 - 3).\nAnswer: 94*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.222 + -2.912. Let f = l + 0.71. Let d = 0.02 - f. What is the third smallest value in -3, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41508 and 5661.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2495*(-3)\/90 + (-1)\/6. Suppose 11*q - 10*q = -4*b + z, -4*b - 4*q = -92. Solve 10*u = 15*u - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5179, -6714, -8237, -9748, -11247?\n\"Answer: 6*c**2 - 1553*c - 3632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 479.2 - 479.081. What is the second biggest value in 4, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-5)\/15)\/(4 + (-91)\/21). Put 0.254, -1\/3, 3\/2, 0.4, r in descending order.\nAnswer: 3\/2, 0.4, 0.254, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135346643.\nAnswer: 135346643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10658\/19 or 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 2*f**2 + 8*f + 4. Let k be h(-4). Solve k*i + 12 = -8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/((-2)\/8). Let i be (d\/3)\/((-4)\/6). Solve -i*f - 4 - 2 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792 a factor of 47519103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -140. Let v(i) = -2*i - 5. What is v(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - 0.04. Which is the closest to u? (a) 2 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -43?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17328 - -11063.3838.\nAnswer: -6264.6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 + 7*i**3\/6 - 10*i**2 + 7*i. Let a be b(-11). What is the greatest common factor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((-2730)\/(-112)) + 5\/(-25). Let w = -23 + 28. Which is the third biggest value? (a) 2\/11 (b) w (c) 0.5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073521.\nAnswer: 1073521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 + 0 = 0. Suppose 2*b - 37056 = -j*b. Suppose 4*k + h - b = 0, -3*h = -3*k + k + 3074. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218132209?\nAnswer: 218132209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 259*t + 4. What are the prime factors of f(1)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.13 + 0.2239\nAnswer: -1.9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 172844 + 2548 = 0. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-36)*10\/20)\/((-38)\/57).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -214*t**3 - 5*t + 4. Let v(c) = -4043*c**2 + 4043*c**2 + 5*c + 211*c**3 - 3. Let q(d) = 4*v(d) + 3*z(d). Find the second derivative of q(o) wrt o.\nAnswer: 1212*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -470\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05055144 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**4 + 10*k**4 - 16*k**4 + (-2*k + 0*k + k)*(-5*k**3 - k**3 + 5*k**3))*(-2 - 3 + 0).\nAnswer: 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h. Let y(g) = -28*g**2 + 21. Let a(n) = 3*n**2 - 2. Let d(m) = 21*a(m) + 2*y(m). Give w(d(f)).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/33, -3, 2\/155?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 22. Let v be (2355\/k)\/((-4)\/(-8)). Let b = 1470 - v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*s + 87, 473*l = 471*l + 4*s + 54. Solve l*w + 135 = 148 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 13, -5.\nAnswer: -5, 4, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267 - -267.000131. What is x rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 22 + 4 = 0. Let c = -5 - l. Calculate the remainder when 38 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 27*b**2 + 15*b + 3. Give d(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67727781 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u. Let z(y) = 19*y + 7. Suppose 2*b - 2 = 4*v + 4*b, -2*v - 3*b = -9. Let x(o) = -9*o - 3. Let g(i) = v*z(i) - 7*x(i). Calculate f(g(n)).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20 + (-1650)\/45 + (2\/3)\/(-1) and -2\/313.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 40\/27 (c) 2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270580 and 1515248?\nAnswer: 7576240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(((f**(-3\/2)*f)\/f)\/f*f)*f)*f**(-7)*(f**(-9\/2)\/f)\/f**(1\/2))**(-2\/21))**34 assuming f is positive.\nAnswer: f**(1054\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 101. Let g = -28 + c. What is the greatest common divisor of 242 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3328 greater than -3336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.989 (c) -0.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -153*-3*(-24)\/(-378). Is 28 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0315097 to four decimal places.\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 12. Let b(p) = -3*p**3 - 6*p - 11. Let k(y) = -y**3 - 2*y - 4. Let g be (-1)\/((-10)\/12 + 1). Give g*b(f) + w*k(f).\nAnswer: f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 2. What is the remainder when s is divided by 3*(4 + -3) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -356.12 - 3.88. Let l = -357 - b. Is l greater than or equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -98 - (-7 + 4 + -11 + 1 + 2)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3)**(-5\/13))**33\/((u**(-1))**21*(u*u*u*u*u**(-2\/5)\/u*u*u*u)**0) assuming u is positive.\nAnswer: u**(-222\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 547, 975, 1435, 1927, 2451, 3007, 3595?\n\"Answer: 16*k**2 + 380*k + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + sqrt(288))*-4 - ((sqrt(24) - 2*sqrt(24))\/sqrt(12) + 5 + -1).\nAnswer: -259*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242.3 - -240.22. Is z less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g**4 - 10*g**4 - 6*g**4 + 2*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 + 1177\/6. Let i = -1 - -1. Suppose -77 + 273 = -104*a - 12. Put p, i, a in decreasing order.\nAnswer: i, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-4))\/(16\/192) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/7 - 611034*r**2\/7 + 6110140*r\/7 = 0.\nAnswer: 0, 10, 305507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*c - 557*c**3 - 82*c + 720*c**3 wrt c?\nAnswer: 978*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*x - 1209020, -v + 1611995 = -132*x + 128*x. What is x rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.245 + 760.245. Let a = -167366.6777 - -168126.71. Let p = a - m. What is p rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3876 rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 - -210. Solve 5*o + m = 3 - 27, 5*o = m - r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -25*j**4\/12 - 33*j**3 + 8*j**2 + 9*j - 2. Factor g(k).\nAnswer: -(k + 8)*(25*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 352, -124, 0.01, -0.4, -1\/11, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -431, -1773, -4011, -7145, -11175, -16101, -21923?\n\"Answer: -448*r**2 + 2*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3316*c - 18092. Determine m(5).\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5206, -12, 5, -4, -1, -5 in ascending order.\nAnswer: -12, -5, -4, -1, 5, 5206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 43994076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -59, -3.6, -2\/5, 3, -0.1, 1\/5?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-four fifths of a milligram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -598*s - 21080. Calculate i(-35).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (4 - 1) + -76 + 68.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31632901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 10*v**2 + 2*v**2)*(1 - 2 + 3) + 4*v - 4*v + v**2.\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115795201 to the power of 1\/4, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 9. List the prime factors of (21\/4)\/(o\/(-24)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.2 (b) -23.2 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - r - 7822 = 15472, -4*r - 23267 = -j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1232002013211?\nAnswer: -1232002013211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 29*b + 337. What is z(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4647.\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(605) - (-1 + sqrt(605))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -168, -211, -202, -123, 44, 317?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 6. Suppose -4*t - 22 = -s*f, -t - 1 = 5*f - 34. Calculate the remainder when 19 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413630?\nAnswer: 2, 5, 241363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5044, 10112, 15178, 20242, 25304, 30364, 35422?\nAnswer: 40478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/(-5) + (-6)\/(-30). Let i = 5 - y. Suppose 0*x = -2*x + i. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - x - 1. Let g(o) = o**3 - 4*o**2 - 7*o - 8. Let q(a) = -g(a) + 5*z(a). Let r be (0 + 2 + -6)*(-8)\/8. Suppose k - r = -6. Determine q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329 divided by -2184.\nAnswer: 47\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -311*z**2. Let s(f) = f - 37. Calculate s(x(v)).\nAnswer: -311*v**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15016, 60308, 135796, 241480, 377360, 543436, 739708?\nAnswer: 966176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 0 + (-62409)\/(-15) + (-480)\/800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 3, b: 1}. What is prob of picking 3 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**3 - j**2 - 4*j. Suppose 0 = -5*q - 53 + 28. Let h be i(q). Is (h\/(-20))\/(1\/(-8)*-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j. Let q(s) be the first derivative of -s**5\/30 - 4*s**2 - 3. Let x(t) be the second derivative of q(t). Determine x(p(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6961\/4 - -1740. What is the closest to -4 in 1\/5, 0.25, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t*v**3*w - 16713156*t*v**3 - 12*t*v**2 - 73*v**2 - 1521*v*w wrt v.\nAnswer: -12*t*w - 100278936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 946693*l - 558*l**2 - 946693*l + 21*l**5 + 30*l**3 wrt l?\nAnswer: 1260*l**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2)*m**3*(m\/(m**(-3)\/m))\/(m\/(m*m**(-9)*m))*((m\/(m\/(m**(-1\/8)*m)))\/((m**8\/m)\/m))**15 assuming m is positive.\nAnswer: m**(-591\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000858 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/40967 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukumkkuuuufzk. What is prob of sequence mu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1118)\/1892 + (-24)\/(-22))*(-866)\/(-1) is divided by 77.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.363 minus -8?\nAnswer: 4.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 84 and 83 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69459\/10 or -6945?\nAnswer: -6945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-48))\/((-1)\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u = 50*u - 125*u - 1133 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 185 - 185.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1226 by 2.\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -5 (b) -2\/69 (c) -2\/13 (d) 1\/374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/62496 and -58\/519.\nAnswer: 10811808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3494400 divided by -1365?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*i + 5*i + 26 = 0, -2*x = 2*i - 12. Suppose s + 2*s = 150. Calculate the lowest common multiple of x and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 174*c**2. Let d(t) = -t - 3. Let q(v) = v + 2. Let a(l) = 2*d(l) + 3*q(l). What is a(b(r))?\nAnswer: 174*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2)*1422\/(-1580).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-2*x + 2*x + x) - 28*x - 191 + 191 - 2*x + 0*x + x + 2*x - x + 0*x + (-5*x + x + 3*x)*(0 - 4 + 3) + 0*x + 4*x - 3*x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(-8)\/((-8)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20178782?\nAnswer: 2, 13, 43, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0471955 plus 0.1?\nAnswer: 0.0528045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 - 1458*g**3 + 15699*g**2 - 11340*g - 28500 = 0 for g.\nAnswer: -1, 2, 10, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3*540)\/(((-522)\/12)\/29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b - 2*b + 3*b)*(2 - 3 + 6) - 4*b - 2*b + 5*b)*(3*b - 3*b - b**2) + 2*b**3 + b**3 - b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y**3 + 5*y**2 + 37*y - 16. Let t(i) = -20*i**3 - 11*i**2 - 78*i + 32. Let x(c) = -11*g(c) - 6*t(c). Determine x(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shsnqnqqhsssqssqssh. Give prob of picking 1 h and 2 q.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 + 20*n + 24 = 0. Calculate n.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1263 - 1261 - 1263 - 274*a**2 - 2*a - 293*a**2 + 3783 wrt a.\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 + 6*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20557 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 326 + -6?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-152)\/(-456))\/(1\/(-15)). What is the nearest to -1 in -4, t, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, o: 1, w: 2, a: 7}. Give prob of picking 1 a, 1 o, and 1 w.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnrn. What is prob of sequence nrn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - (-32)\/(-17)) + 4\/(-34). Solve 0 = -x*i - i + 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5, 50 - 6 = -3*z + 2*d. Let u be 4\/z - 110\/(-90). Which is the nearest to u? (a) -0.5 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let f = k + -8. Let s = 106183 + -106187. What is the smallest value in -3, 3, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) - (-35)\/(-25).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzzu when four letters picked without replacement from zbbbbbbuzbbuubbbbbbb.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 + 16*o**2 - 7*o**2)*(-2*o + 3*o + 0*o)*(-3*o + 3*o + 3*o**2).\nAnswer: 42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2916 divided by 3.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = g - z - 2*z, z - 182 = -4*g. Suppose -2*j + 60 = -5*l, 0 = 4*l - 0*l. Calculate the highest common divisor of j and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - ((0 - 124) + 288)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1550\/(-248)*(-150)\/11875.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347092896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 3\/(-4) - (-228)\/48.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xskz when four letters picked without replacement from zskzsx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 1 + 7. Suppose 0 = -4*a + 2*n, -2*a = -4*a + 3*n - 4. Let i(o) = -a + 50*o**x - 51*o**2 + 1. Let s(t) = -2*t**2. Determine i(s(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2. Let p(m) = -222646*m**2. What is p(l(a))?\nAnswer: -3562336*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -173?\nAnswer: 9\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478143.8 less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2537 + -1802. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.4 (c) -0.1 (d) 2\/7 (e) -1 (f) -2\/191 (g) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 3*i**2 - 2*i**2)*(-7*i**2 + 2*i**2 - i**2) + (-2*i**2 + 2*i**2 - 2*i**4)*(-3 - 3 + 4) as n*i**2 + z*i + y*i**3 + c*i**4 + q and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 39 = -15*n. Let m(o) = -21*o**3 - 11*o**2 - 17*o - 5. Is m(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581.\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-6) - -10)*(-207)\/(-12). What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -14. Let w(r) = -r**3 - 2*r**2 + 3*r. What is w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 17*x**2 - x - 7. Let d be r(-7). Calculate the lowest common multiple of (-2334)\/(-42) + (-7)\/(d\/12) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11939 + -59692\/5. Sort 7, 4, 1, l, -0.2 in ascending order.\nAnswer: -0.2, l, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.0445, -1, 140, 1\/3, -1\/8 in descending order.\nAnswer: 140, 1, 1\/3, -0.0445, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -2931171.\nAnswer: -2931171.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(475) + -2*sqrt(475))**2 - (4*-1*sqrt(475) + sqrt(475)).\nAnswer: 15*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o - 23. Let u(z) = 3*z - 12. Let v(i) = 6*f(i) - 13*u(i). Let h be v(-5). Solve 4*m = -2*n, h*n - 2 = -4*m - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -82*f + 154. Determine z(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111000001000110 (base 2) to base 14\nAnswer: a690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**4 - 36*h**3 - 40*h**2 - 12*h - 4. Let m(a) = -a**5 - 9*a**4 - 36*a**3 - 39*a**2 - 11*a - 5. Let y(k) = 4*m(k) - 5*p(k). Factor y(r).\nAnswer: -4*r*(r - 4)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*s - 213 - 127 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2. Let g(o) be the third derivative of o**7\/840 - 7*o**5\/30 + o**2. Let r(w) be the third derivative of g(w). Give r(t(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-16)*24\/(-18) - 18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.18711ng to milligrams.\nAnswer: 0.00003618711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21767 + 30724. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*6\/105*(-420)\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -62. Let z(o) = 3*o + 1. Determine z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {d: 5, i: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 9. Let w(j) = 7*j - 9. Let i(c) = 4*f(c) - 3*w(c). Let b(t) = -3*t + 4. Let u = 1480 - 1485. What is u*b(g) - 2*i(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15274712 plus 0.03047971?\nAnswer: -15274711.96952029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1015239770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/10653 and 7\/2010.\nAnswer: 106530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 426413?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4\/29, 80, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 16. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89128180 divided by 32588?\nAnswer: -2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213 (base 4) to base 6.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + -13 + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) + (-17)\/(-3). Suppose -4*f = -6*f + 2, 2*v = 2*f + a. Suppose -6 = 5*y + 4. What is the third smallest value in y, v, -4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y. Suppose y = d - 3*d. Suppose -4*r + 2*i + 14 = 0, 0 = 3*r - d*i + 5*i - 30. Solve 5*c - 2*x = -33, -r = -c - 4*x + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -t - 3*t - 4, -k + 4*t + 4 = 0. Suppose 2 = z + z. Suppose 3*r + r - z = -d, -5*r = -5. Put 4, k, d in decreasing order.\nAnswer: 4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -10*q - 21*q - 1226 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 + -0.14. Let h = j - -1.6. Let g = -1.2 + h. Which is the second smallest value? (a) -2 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/((u*(u\/u**7)\/u)\/u*u))))\/u*u*u**3)\/(u**(-1)\/((u\/u**(-3\/10))\/u)) assuming u is positive.\nAnswer: u**(113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14\/15 (b) -0.07 (c) -182 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1513 or -1514?\nAnswer: -1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 < 35521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 115*c = -120*c - 30, 0 = 5*u - 2*c - 12. Solve u = -90*w + 85*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.156 times 4\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -18\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -22 (b) -5\/93 (c) 0.1 (d) 0 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -27 + 5\/3*t**3 - 25*t**2 + 125*t. Factor n(l).\nAnswer: 5*(l - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/9 - 57304*n**3\/9 - 407992282*n**2\/9 + 35544250444*n\/9 + 75980283248\/3 = 0.\nAnswer: -14369, -6, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 1 + 1)*(-2 + 0 + 3 + (4 - 6 + 0)*(4 + 1 - 4) - 26 - 4 - 34) + 93*y - 145 + 145 in the form u*y + z and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, -4, 1\/10, 2\/9, 4, 0 in descending order.\nAnswer: 4, 2\/9, 0.15, 1\/10, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*d + 4*s = 482*d + 11, -s + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/20 and -87\/946.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798035864 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**3 - 361*k**2 + 4*k - 8. Let r(h) = 6*h**3 + 354*h**2 - 3*h + 7. Give 6*r(j) + 5*t(j).\nAnswer: j**3 + 319*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 9 (c) -5\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107810, -107808, -107806, -107804?\nAnswer: -107802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1191*k + 2392*k - 2170*k in the form j*k + z and give j.\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20088\/868)\/54*-98.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26312370 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-24 - (-10 - (-2 - -5)) - 0) - 140.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15505\/16 or -970?\nAnswer: -15505\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u, -4*u + 159 = 4*o - o. Suppose 42 = o*a - 46*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 - 127*i - 17. Give m(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 48714?\nAnswer: 48710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 - 9*r + 107. Let g be l(15). Suppose -5*k + 5307 - g = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) 3\/7 (c) -0.9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.67569l?\nAnswer: 49675.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.109.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/21)*r\/(r\/r**(-4\/31)))**(-4\/11) assuming r is positive.\nAnswer: r**(832\/7161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 4540\/(-15694). Let g = h + 26932\/7847. Calculate the common denominator of g and -51\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 5:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-3630))\/((-3)\/(-6)) - (-1 - (-1255)\/(-11)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776 and 2544?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(295568\/(-2813)) + (-2)\/(-28)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1979243.1 months?\nAnswer: 16493.6925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 9.7. Let x = -1.1 + m. What is x rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 638 divide 783935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o**2 + 21*o - 6. Let m be l(-18). Suppose 2*f - 8*f = -m. What is f rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 divided by -3793?\nAnswer: -2420\/3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 20 + 7 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*b - 13, -9*h + 8*h = 4*b - 5. Is 2\/((-20)\/15)*622\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0274 - 0.1274. Put -5, 2, f in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 24, -13\/14, -203?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 382*c - 1209*c - 1766*c to the form k + q*c and give q.\nAnswer: -2593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22335858 and 18?\nAnswer: 22335858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 23*u - 15. List the prime factors of z(7).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (7 - -12 - 19)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*p - 18*p - 46 = -7*p, 32 = -5*n - 2*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 4) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54410182445*n**3 + 54789896325*n**2 + 380376360*n + 662480.\nAnswer: 5*(n + 1)*(104317*n + 364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3216912ml to litres.\nAnswer: 0.0003216912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - -3) - 5\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 2 + 2 + 3*r + 0*r.\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 22. Suppose r*u + 3*q - 39 = 4*u, q = 5. What is the second derivative of 0*a + u*a - 22*a - 27*a**2 - 11*a wrt a?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/570 - -1513\/3990. Calculate the common denominator of v and 23\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001 - -1100101001111?\nAnswer: 1100010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45664956?\nAnswer: 2, 3, 37, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 + -22. Let l = 18.2 + n. What is the smallest value in 5, -3, -1\/3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4798 divided by -6.\nAnswer: 2399\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.053552 - -0.2?\nAnswer: -15.853552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 29*g - 22*g - 51*g + 262 - 20*g. Let a be v(4). Suppose 17 = 3*q - 7. Solve -2*c + a*c = -q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/9 + 1240*z**4\/9 - 1660*z**3\/3 + 7480*z**2\/9 - 4990*z\/9 + 416\/3.\nAnswer: 2*(z - 1)**4*(z + 624)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27688, -27624, -27560, -27496, -27432?\n\"Answer: 64*l - 27752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1632)\/18)\/4*9\/6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 - 2178*m**2 + 1076*m - 7629. Give n(-545).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 1580\/27?\nAnswer: 1580\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7423 + 0.3.\nAnswer: -7422.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01453 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -709.5 to the nearest 10.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16703 (base 8) to base 9.\nAnswer: -11405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18460*i*u + 3*u + 5033 wrt i?\nAnswer: 18460*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.018? (a) 3 (b) 4\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-51)\/119 - 773\/(-7).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/3004818 and -107\/1143828?\nAnswer: 378607068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.629 - -0.629. Which is smaller: g or 0.25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 194? (a) -4 (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -23 - 9. Let n be (-64092)\/(-9) + d\/12. Let k = n - 4969. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 48 - 509 + 2*u**2 + 59 - 297 + 61 to q + p*u + t*u**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 3*i - 5*n - 16, n = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/794, 3\/2, -16 in increasing order.\nAnswer: -16, -1\/794, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1455914, -2911831, -4367748, -5823665, -7279582, -8735499?\nAnswer: -10191416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 30 = -5. Suppose 4*y = n*l - 2 - 1, -l - 5 = 2*y. Find the common denominator of 3355\/(-585) + y\/13 and 35\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n. Suppose 528 = 14*o + 8*o. Let l(z) = z - o + 79 - 31 - 24. Calculate 2*h(j) - 6*l(j).\nAnswer: 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2267*z**2 - 6*z - 40. Let v be o(-23). Suppose -19449341 = -5*d - v. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10636212311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -1168652.\nAnswer: -113359244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 436394, -2\/5, -1, 3 in increasing order.\nAnswer: -3, -1, -2\/5, 3, 4, 436394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*t + 2*v + 11, -t + 2*v + 9 = 0. Let m be 4\/12 + 22\/6. Let s be m\/12 + 8\/3. Solve -u = -s*u + 10, w - t = -u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2961*u**3 - 5426*u**3 + 4102*u**3 - 8238*u**3 - 10648*u**3.\nAnswer: -17249*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/27 - 8*s**3\/27 - 4*s. Factor l(b).\nAnswer: 4*b*(b - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(13) - sqrt(39)\/sqrt(3))**2 - sqrt(13))*1.\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.83 - 0.73. Which is the closest to -2? (a) o (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 383187*d**4 + d**2 - 141307*d + 1 wrt d.\nAnswer: 9196488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3207434251 + 0.5?\nAnswer: 0.1792565749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2, -0.3, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 10. Suppose -11*g + 8 = -9*g. Let s be b(g). Which is greater: -23\/5 or s?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456076736 minus -76?\nAnswer: -1456076660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 95. Suppose -2*c - y - 3 = 0. Let j = c - -27. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3027, -6063, -9099?\nAnswer: -12135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105.7 - 329.3. Let c = v + 435.0000816. What is c rounded to six decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 35 = 5*x, x - 141 = 5*v - 117 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-72) + (7406\/(-828) + 9)*0?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 1. Let v be m(2). Suppose -x = -54 + 12. Let g be 3\/2 + 7\/x. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Let x be 19\/(-91) - 89\/1157. What is the nearest to 1 in x, s, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9758 - -3143. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*t = -5*m, -m - 8*m = -0*t + 5*t + 95 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*c*s**3 - 864*c*s + c + 12502*s**3 + 2*s - 548 wrt s?\nAnswer: 1074*c*s + 75012*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 179402248 to the power of 1\/2, to the nearest integer?\nAnswer: 13394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1541 divided by 23.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 784.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 - 1011100111000000?\nAnswer: -1011101001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) - (-2*sqrt(190)*-1 + sqrt(190))))\/sqrt(1000).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13171 (base 9) to base 6\nAnswer: 105101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*o - 158*o - 119*o + 144 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14))\/((-23)\/276)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(287\/(-14) - -21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, -1, 22 in ascending order.\nAnswer: -246, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -4, -3\/2, -3 in increasing order.\nAnswer: -4, -3, -3\/2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k - 56 = 0. Solve 0 = 2*r + 2*h - 10, -4*r - h = -3*h - k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 1, n: 4, b: 1}. Give prob of sequence np.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81, -80, -79?\n\"Answer: r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 3*a)*(184*a**3 - 117*a**3 + 180*a**3) + (5 - 2 - 4)*(a**4 - a**4 + 2*a**4).\nAnswer: -496*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -17464 - (-8)\/2 - (-3 + 3). Let a = b - -418981\/24. What is the common denominator of a and 648\/(-8)*(0 - 3\/30)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 240, 264, 298, 342, 396?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppxl when four letters picked without replacement from lpxxkxp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504401, -1008798, -1513195?\nAnswer: -2017592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*i - 4*l, -5*i + 2*l = -3*i - 34. Suppose -4*o + 7 = -i. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 76*g - 289. Let f be c(4). Solve -3*p = -2*t - f, 4*t + 15 + 12 = 5*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + -1)*28\/(-10). Let s be (1 + 16\/(-15))\/(b\/665). Are -2 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*t + 5*t - 462317, -2*n - 2*t + 231156 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17535, -19164, -20793, -22422, -24051, -25680?\nAnswer: -27309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -940.608 + -10569\nAnswer: -11509.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(200)*-3.\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1244 + -1244. Let i(k) = -k. Let j be i(-5). Solve -2 - 2 = -2*x - 4*t, -5*x - j*t = u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let c(a) = -2*a**2 + 1159*a. Give c(t(g)).\nAnswer: -8*g**2 - 2318*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.1 (b) 0.3 (c) 0.4 (d) 301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyeeeayeykaaa. What is prob of picking 2 y, 1 k, and 1 a?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)\/(y*y**1*y)*(y\/((y**2\/y)\/y*y))**(-48) assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16577, -16586, -16595, -16604, -16613, -16622?\nAnswer: -16631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 11521?\nAnswer: -21\/11521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 99 = 81 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33061342?\nAnswer: 2, 79, 209249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpps when four letters picked without replacement from scppscscssttstp?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/18690 and -141\/679070.\nAnswer: 2037210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12 and 4\/10*5 - 291\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-81)\/30)\/(-3))\/((-129)\/(-172))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4*(-1)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) 5 (c) 1517.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 53. Let s = 25 - q. What is the remainder when (4 + s)\/2 + 44 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/150 + 17*j**5\/50 + 88*j**4\/15 + 33*j**3 - 1377*j**2\/10 + 4559*j. Suppose u(m) = 0. What is m?\nAnswer: -17, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.35572 millennia to centuries.\nAnswer: 343.5572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -12321004030?\nAnswer: 12321004034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1192379, 2384823, 3577269, 4769717?\n\"Answer: u**2 + 1192441*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.57037 kilometers to centimeters.\nAnswer: 4857037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 m, and 1 p when four letters picked without replacement from gpgggpcpegmgpggpm?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Let k(l) = -l**2 + l + 1. Let n(d) = -k(d) - 6*w(d). Calculate the least common multiple of 3\/2*(-48)\/(-9) and n(-6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - o - 2 - 33 - 68*o**2 + 39.\nAnswer: -68*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.377*0.2\nAnswer: 0.6754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18718 and 2128?\nAnswer: 2845136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7040*v - 19 + 7153*v + 26 to the form d*v + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4, 4*q - 2*x + 5*x = -14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.013 - 4.887. Let x = g + -1.1. Let w = x + 5. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-228)\/44 - (-4)\/22. Suppose k + 6 = 4*o - 1, 10 = 3*o + 4*k. Put 0, o, z in decreasing order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 578126.1km?\nAnswer: 578126100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10376384 and 10?\nAnswer: 51881920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 616140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -27*w + 41760. Suppose 4*o - p - w = p, -4*p = 5*o - 13037. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987*b**3 + 5427831*b - 5427831*b.\nAnswer: 1987*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = -4*j + 20, 2*x - 18 = -4*j. What is the units digit of x + 0 + 107 + -1 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2269 = -46*d + 45141. What are the prime factors of d?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4751 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8243, -8242, -8241?\n\"Answer: j - 8244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {d: 4, n: 1, e: 2, o: 2, w: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 65568*p + 268697664.\nAnswer: 4*(p - 8196)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 265 + 20. Calculate the remainder when z is divided by 5 - 4\/2 - -22.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -858?\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14721577 rounded to 4 decimal places?\nAnswer: 0.1472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 12*j**2 - 28*j + 7. What is the remainder when 1363 is divided by z(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18891\/2099*((-12)\/4)\/(-369)\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11847, -23551, -35255, -46959, -58663, -70367?\nAnswer: -82071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -128*p + 132*p + 65, -3*t - 3 = 0. Which is smaller: -7\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 3.7. Let r = d - -2.5. Let y be -5 - (-4 + 2) - 29\/(-9). Which is the third smallest value? (a) -0.06 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 = -3*g. Suppose -g*b + 120 = -4*b. Suppose -1315 + 1525 = 3*m. What is the remainder when m is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54915.88 millilitres in litres?\nAnswer: 54.91588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-16) - (0 - (-17)\/4). Is (25\/(-20))\/(t\/592) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30028?\nAnswer: 2, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g + 4. Let f = 5 - 10. Let k be w(f). Does 3 divide k - (-4*3)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15827 + -15752. Calculate the highest common factor of o and 570.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -2\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -71. Let g(b) = -7*b**2 - b. Let p(w) = -20*w**2 - 2*w + 1. Let l(s) = 17*g(s) - 6*p(s). What is the lowest common multiple of k and l(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 + 9*x**2 - 2*x - 3. Let f(j) = 14*j**3 + 26*j**2 - 7*j - 8. Let b(d) = 17*a(d) - 6*f(d). What is the tens digit of b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 25*b**2 + 2*b - 28. Let p(q) = 2*q**3 - 49*q**2 + 5*q - 57. Let h(k) = -5*f(k) + 3*p(k). Does 29 divide h(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/3 (b) -1.18 (c) -4 (d) -1 (e) 0 (f) 37.9 (g) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 7*g**2 + 6*g + 6. Let v = 67 + -46. Suppose -7*l = -10*l + v. What is the smallest common multiple of l and a(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*2 + -5 - (sqrt(88)\/sqrt(8)*4)**2.\nAnswer: -181 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 486351.9 meters?\nAnswer: 486.3519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14869 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (66\/9)\/(10\/(-15)). Let x = 7 + k. Let w be (x\/15)\/(4\/(-10)). What is the third biggest value in -1\/7, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499800 divided by 210.\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7979a7 (base 11) in base 5?\nAnswer: -311112044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -294, -1886, -4774, -8958?\n\"Answer: -648*m**2 + 352*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 531627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/15 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12341332 (base 5) to base 9.\nAnswer: 204553","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 5:39 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031225 (base 6) in base 13?\nAnswer: -354c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -82579*h**3 + 6*h**2 + 6*h + 14. Let o = -3 + 11. Let b be p(o). Let q be b\/7 - 0 - (-6)\/21. Round q to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6072)\/(-19440) + (-969)\/3230.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1608, -3221, -4848, -6495, -8168, -9873, -11616?\nAnswer: -13403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 168. Let r = 196 + w. Let d(k) = 16*k - 1. Let s be d(1). What is the greatest common factor of s and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**14\/v*v)**6\/(v**(3\/14)*v*v\/v**21*v*v))**(-1\/13) assuming v is positive.\nAnswer: v**(-1411\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/8, 5, 0.\nAnswer: -1\/8, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 146 + 54. Calculate the least common multiple of (-20)\/m + (-76)\/(-10) and 4\/(-30)*3 + -1 + (-2112)\/(-55).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -a - 0*a. Let l = a + -47. Calculate the highest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:02 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*w = -0*w + 21, -4*l - 5 = -5*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170066 by -62.\nAnswer: -2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/105 and -34\/19745943?\nAnswer: 98729715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -58*u**2 - 6*u - 15. Let y(x) = -61*x**2 - 5*x - 14. What is -5*i(r) + 6*y(r)?\nAnswer: -76*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -244494 divided by -27166\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 205625 less than 0.19?\nAnswer: -205624.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.785 times -3\nAnswer: -11.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2406, 2408, 2410?\n\"Answer: 2*l + 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 1 = -4*t + 3*t, 4*r + t = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 141 - 111 = 0. Which is smaller: 20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 x when three letters picked without replacement from zzxz.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 135. Which is greater: l or -40?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33 not equal to -39.111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -3) + 2\/(-2). Suppose 13 + 2 = 3*b, 4*h + 3*b - 19 = 0. Let z = 5 - h. Solve 12 = i + z*n, i - 2*i + s = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 459 - -58?\nAnswer: 4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 131\/(-1935) - ((-247400)\/(-2250) - 110)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 64*q - 2. Let c be 0 + (-1 - 3)\/4. Let i be d(c). List the prime factors of i\/(-10)*(0 + 5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1205\/9622 or 1?\nAnswer: 1205\/9622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 1 - 2379416*l**2 + 0*l + 2379417*l**2. Determine h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7597 divided by 18?\nAnswer: 7597\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65118\/5 - -13074. Let z = f - 50. What is the closest to 0.14 in z, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-26 - (-51 - -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u + 1. Let f(l) = 5*l**2 - 18*l + 20. Let o(w) = f(w) + 6*x(w). Let s be o(-14). Sort -5, s, 4, -1.\nAnswer: -5, s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31242030403 - 120?\nAnswer: 31242030233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + 12.1. Let a = 14.1 - q. Let i = a - -0.89999962. Round i to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25772 (base 9) in base 13?\nAnswer: 7bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 8}. Give prob of picking 2 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**7\/105 + 2*i**6\/15 - 17*i**5\/10 - 259*i**4\/6 - 784*i**3\/3 - 1089*i**2. Solve u(p) = 0.\nAnswer: -7, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52188 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/909 - 28219\/18180. Find the common denominator of 255\/(-50)*(-25)\/12 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13656255 divided by -5?\nAnswer: -2731251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 plus 277425.45547?\nAnswer: 277528.45547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4 = -11*n. Which is the nearest to 1\/4? (a) n (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = d + 23, 4*q + 3*d = q + 21. Let g = 46 + q. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + f)*(1 + 4 - 6) + (f - 4*f + 7*f)*(-6 + 1 + 3).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 13 - 1, 2*h = 3*r - 11. Let y(p) = 2*p**2 - 7*p - 8. Let v(s) = s**2 + s - 1. Let b(c) = r*y(c) - 3*v(c). Is 7 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -56. Let t = -226 - -300. Calculate the remainder when t is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112397*d**3*r**2 - 43296*d**2*r**2 - 4*d*r**2 wrt d?\nAnswer: 674382*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11713 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 222*b - 18. Let f(h) = -3*h. Calculate f(s(i)).\nAnswer: -6*i**2 - 666*i + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*b - 63*b + 319 + 309 - 622.\nAnswer: -253*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10357950?\nAnswer: 2, 3, 5, 199, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = -5*a + 6*k, 0 = -4*a - 4*k + 8. Suppose -16 - a = -l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 4. Let z(t) be the first derivative of 11*t**2\/2 - 7*t + 7. Let o(p) = 13*h(p) + 6*z(p). What is the units digit of o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**5\/n)\/((n\/((n*n**4)\/n))\/n)*(n\/n**(-2\/29)*n)\/(n*((n**(-2\/5)\/n)\/n)\/n*n))**(1\/25) assuming n is positive.\nAnswer: n**(1808\/3625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -16, -2*f - 3*f - 2*z + 367 = 0. What is the remainder when f is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/11)\/g*g*(g*g**4\/g)\/g)\/(g**(2\/75)\/(g*g**(-9)\/g)) assuming g is positive.\nAnswer: g**(-5272\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142935947 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7361320, -7361327, -7361348, -7361389, -7361456, -7361555?\n\"Answer: -t**3 - t**2 + 3*t - 7361321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00188 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8906 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 - z - 1. Let p(u) = -5*u**3 + 12*u**2 + 14*u - 7. What is 7*h(i) - p(i)?\nAnswer: -2*i**3 + 2*i**2 - 21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q - 55*q - 29*q + 98*q + 6*q + 10*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*p = -4, -3*p - p = 12. Suppose a*b + k + k = 6291, 3*b - 3786 = -5*k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17826 by 47.\nAnswer: 17826\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0361 times 0.12\nAnswer: -0.004332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1748 = 31172. Let o = -323603\/22 - k. Calculate the common denominator of 169\/60 and o.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 * 919\nAnswer: 57897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = -3*t - 0, l = 1. Put t, 3, 52 in descending order.\nAnswer: 52, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 6*j - 3. Let q be g(7). Suppose 5938 = -5*r - q*u + 22038, 0 = -4*r - u + 12880. Let w = -2069 + r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/9 not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 + r**3 + 49*r**2 - 3*r**3 + 4*r - 2*r - 123*r**2 + 71*r**2 as p*r**2 + t + k*r**3 + g*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87455 times 282?\nAnswer: 24662310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730400204 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 m(y) = y**2 + 19*y + 40. What is the units digit of m(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -69.22\nAnswer: 276.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*m**2*r**2 + 179*m**2 + m*r**2 - 2*m*r + 20127*r**2 wrt m?\nAnswer: -470*r**2 + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*f = -2*l - 40, -4*l - 2*l + 19*f - 882 = -847 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 559660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + 0 + 2*(-2 + sqrt(1088))*6*-2)**2.\nAnswer: -16896*sqrt(17) + 628619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*g + 287*g + 170*g + 244*g = 31626 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/5 + 2*i**2\/5 - 92*i\/5 + 32 = 0.\nAnswer: -8, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2))\/k)\/k*k\/k**(-4\/5))\/(k*k\/((k\/k**1)\/k))**(-1\/12) assuming k is positive.\nAnswer: k**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6245813*k**3 + 47649*k**2 - 42*k.\nAnswer: -37474878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 f when four letters picked without replacement from vookkkfmffokofmkkvok.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/63)\/((-2)\/6). Factor -i*x**5 + 6*x**5 - 4*x + 8*x**4 - 22*x**2 + 14*x**2.\nAnswer: 4*x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*w**5 + 14792*w**4 - 367*w**2 + 53732*w?\nAnswer: 9240*w**2 + 355008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -93.2, 5 in decreasing order.\nAnswer: 5, -1\/5, -93.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2514 = 4*p, -5*f = -3*p - 151 - 6169. Let t = 1267 - f. Let k(q) = 2*q**3 - q + 1. Let y be k(1). What is the closest to t in -4\/9, 1, y?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/25 - -36\/175. Put 4, -1\/8, 2\/25, g in descending order.\nAnswer: 4, g, 2\/25, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 - 248*g**2 - 3299*g + 127. Determine z(-66).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 641 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 + 11*q**2 + 3*q + 2. Let f(y) = y**3 + y**2 + y. Give -2*f(d) + v(d).\nAnswer: d**3 + 9*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 231. Let v be (-2460)\/(o\/(-30) - -3). Round v to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4199943 - -1.42. What is t rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220757743*d**4 + 137647179*d wrt d.\nAnswer: -2649092916*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.53, 4\/89, 0.4, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.53, 0.4, 4\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - -37. Does 179 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.205635 rounded to 3 dps?\nAnswer: 1.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.05976 nanometers in centimeters?\nAnswer: 0.000006805976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11360 * 19\nAnswer: -215840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*x**4 + 3613*x**3 + 462831*x**2 - 873089*x - 134162 = 0. Calculate x.\nAnswer: -259, -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + 477*(-5)\/(-60). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/14 and ((-2730)\/(-23296))\/(1714\/8).\nAnswer: 191968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:16 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 74*p**2 - 8*p + 636. List the prime factors of t(24).\nAnswer: 2, 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 25*k - 57. Let l be b(22). Suppose l*t - 14 = 22. Let j be 2\/(-4) - 2\/(-4). Solve 6*a + 3*h - 27 = 3*a, j = t*a - 3*h - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 66 = -s - z, 0 = -5*s + 4*z + 110. Suppose -j + 2*n + s = 5*n, -n = -4*j + 36. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231546 and 1036?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105.8 - 83.2. Let t = 0.225 - 0.025. Which is the second smallest value? (a) t (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 12*r**2 + 20*r + 4. Let w be i(10). Let y(u) = 3 + u**2 - w*u**2 + 3*u**2 + u**2 - 4*u. Let x be y(4). Solve x*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, d: 1, u: 4, y: 7, j: 1, f: 2}. What is prob of picking 1 g and 1 y?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*6\/(-42) - 68\/(-14). Solve 16 = y*x - 2*p - p, 0 = 5*x + 3*p - 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/(-6))\/(-37)*20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/24, -19399, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 o, and 1 e when four letters picked without replacement from eomoo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 484*l + 3193 = -10280 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*d + 100. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20150 + -20283.67. Let v = q - -133. Round v to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1112280*k**3 - 527570*k**2 + 14185*k - 50 = 0. What is k?\nAnswer: -1\/2, 5\/1196, 2\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 738233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -15. Let p(y) = -20*y + 7. Let l be p(-1). Let n be 9\/(-12)*12\/l*2. What is the closest to 1\/4 in n, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-85)\/357)\/(5\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 526, -0.3, 1.8, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, d: 6}. Give prob of picking 3 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let z = p + 0. Let f = 13051 + -13056. Sort z, -1\/5, f in decreasing order.\nAnswer: z, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k + 7*k. Let g(h) = -h - 1. Let w be g(k). Let d be w + (20\/(-6) + 2)*6. Which is bigger: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwayai. What is prob of sequence aii?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -66\/239, 2, -1\/100, -1\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**3 + 100*f**2 - 485*f + 390 = 0.\nAnswer: 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/173? (a) 0.2 (b) 3\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003162099523 to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177852 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2\/2 - 138245*q + 3041995\/2.\nAnswer: -5*(q - 11)*(q + 55309)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 e when four letters picked without replacement from {u: 5, e: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.725*1144.\nAnswer: -829.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*i - 2*w + 30, 0 = -5*i - 2*w + 38. Let o(n) = n**3 + n**2 - 2. Let a be o(1). Let h be (a\/1)\/(6\/(4 - -2)). Solve i = 2*k - h*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5051 - -11 - 10\/2. Suppose -5*l + 9455 = -5*m, 2*m - r = -4*l + 2495. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let n(r) = -597*r. What is i(n(h))?\nAnswer: 712818*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149843*m**2 + 745537*m wrt m?\nAnswer: -299686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024469944 rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/89887924 and -71\/12841132?\nAnswer: 89887924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -93, -2\/5, 2293\/3 in decreasing order.\nAnswer: 2293\/3, 6, -2\/5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:38 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (8 + -15 - 8 - -2)) + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 6. Let a = 0.9946 + m. Round a to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-168)\/(-112)*(-434)\/(-7)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/376 and 15\/21793?\nAnswer: 8194168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -36, -96, -9, -3, 2 in ascending order.\nAnswer: -96, -36, -9, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-10 + 3 - -11). Suppose -36*k = -33*k - 4*u - 65, -2*u = 2*k - f. Calculate the lowest common multiple of 120 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.7504841*2\nAnswer: 27.5009682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254.8 + 254.5. What is the fourth smallest value in 7\/4, 3\/2, -0.5, m, -23?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**4\/24 - x**2. Let j(b) = -2*b. Let i(l) = 9 + 4102*l - 9 - 4219*l. Let t(k) = i(k) - 54*j(k). Calculate t(u(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 8*x - 16. Let w(g) be the third derivative of g**5\/20 + 5*g**4\/24 - 35*g**2. Let l(a) = 2*a**2 + 4*a. What is x*w(z) + 5*l(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 3. Let d = r - 22.1. Let p = d - 0.90043. What is p rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*d - 8, -n + 3*d + 9 = 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 18 = 3*f, -4*c - 11761*f + 11925*f = -528 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4111 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 + 7887*g**2\/2 + 31561*g\/2 + 23673\/2 = 0. Calculate g.\nAnswer: -3, -1, 7891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -106. Let k be (-3 - 4) + u\/(9 + -3). Put 4, k, 7 in decreasing order.\nAnswer: 7, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*q**4 - 16*q**4 + 47*q**4 + (3 - 4 + 3)*(-2*q**4 + 4*q**2 - 4*q**2) - 6*q - 3*q**4 + 2*q**4 + 4*q.\nAnswer: 43*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-19)*v**(4\/15)\/v*v assuming v is positive.\nAnswer: v**(304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 21*r**2 + 119*r + 119. Let l(c) = c**2 + 6*c + 6. Let x(f) = -119*l(f) + 6*v(f). Let p(q) = -3*q. Give x(p(d)).\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94878 and 6.\nAnswer: 94878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16631 - 15951. Is d a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 703 - 0?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3 - 36*o**2 + 42*o + 76 = 0.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6440 and 800240.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-1) + 17\/((-119)\/(-3171)).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -19. Let g be 2024\/484 - (-4)\/a. Solve -g*y + 12 = 4*m, -2*m + 16 = m - 4*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3147553303 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 3*l + 3*l + (6*l**2 + 64*l + 1 - 64*l)*(-l - 2*l**2 + l**2 + 2*l) in the form v + c*l**3 + r*l**4 + s*l**2 + u*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48228\/11 + 4384. Let g = -13299 - -66837\/5. Let k = 68 - g. Is k >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-44)\/(-4))*2\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzwz. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*j**2 - 6 - 2294593*j + 2294593*j as i*j + h*j**2 + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/4 + 8*o**3\/3 + 3*o**2 - 2*o + 1227. Let p = 32 + -37. What is t(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4794\/(-187) - -22) + 4\/(-11). Let i(b) = -b**2 + 5*b. Let q be i(6). Let r be 0 + 2 - (1 - q). Put t, 8, r in decreasing order.\nAnswer: 8, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 18, 17, 12, 3, -10?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -735*m**2 + 2. Let k(g) = -6*g - 238. Let n(s) = -s - 42. Let b(v) = -6*k(v) + 34*n(v). Give d(b(c)).\nAnswer: -2940*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42256 and 2184107?\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 - -13?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-36) + 22\/88. Let j(n) be the second derivative of l*n**3 + 0 + 0*n**2 + 1\/12*n**4 + 1\/80*n**5 + 7*n. Find x, given that j(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 + 1333*u**2\/9 + 15024*u + 396900.\nAnswer: (u + 54)**2*(u + 1225)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 + 0*l**2)*(0 + 4 - 3)*(3 - 3 + 2)*(2 - 3 - 1).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14205540 (base 8) in base 12?\nAnswer: -10b0080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*t**2 - 40*t**2 + 108*t**2 + (2 - 2 + 2*t)*(5*t - 4*t + t) + 16*t**2 + 2*t**2 + 4*t**2 to o*t**2 + a + h*t and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 + 4*a + 3. Let x be f(4). Let g(p) = -p**3 + 4*p**2 - 3*p + 3. Let h be g(x). Suppose 9\/2*c**2 - 3*c - 3\/2*c**h + 0 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 3. Let k(o) = o - 4. Let h(q) = -3. Let c(z) = -3*h(z) + 4*k(z). Let m = -100 + 60. Let b be (-7 + m\/(-6))*-18. Calculate b*c(f) + 13*r(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from mpsbxom?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o - 129. Let s be (-102)\/(-10) + 168\/210. Let j be c(s). What is the closest to 1\/5 in -3, -3\/7, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h + 15. Let z be s(-4). Let x = z - -23. Suppose 2*r = -0*b + 4*b + 132, 0 = -x*r + 5*b + 137. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117053.\nAnswer: 117053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 177*m**3 - m + 15. Let b(y) = -2*y**3 - 3. Give 5*b(q) + x(q).\nAnswer: 167*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + 2*k + (-2*k + 3*k - 3*k)*(3 - 4 + 0) + (0 - 2 + 3)*(-3*k - 2*k + 3*k))*(36 - 36 - 63*k).\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/g**2))**(-45)*g**2\/(g*(g*g*g\/((g\/g**8*g)\/g))\/g*g))**(-42))**(-2\/35) assuming g is positive.\nAnswer: g**(-648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 21528767?\nAnswer: 21528767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/((3\/2)\/(-1)). Solve 2*d - 2 = 2*o, b*o - d - 11 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**2\/7 + 2460032*o\/7 + 7380132\/7 = 0.\nAnswer: -3, 615011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 186.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (-3 + (6 - -30) + -24)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 949921.29s?\nAnswer: 10.994459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - 3*l**2 - 2*l + 2. Give q(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o)*(-o**3 + o**3 - 2*o**4) + (-o**3 - o**2 + o**2)*(0*o**2 - 5*o**2 - 5*o**2).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7608 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130237 is divided by 1973.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 65 = 6*r. Solve -215*t**5 - 70*t**3 - 3 + 80*t**2 + 210*t**5 + 30*t**4 + r - 45*t = 0 for t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.62492 grams?\nAnswer: 68624.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13050969 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 6. Suppose -r*s - 28 = s - 3*c, 0 = 5*s + 4*c + 4. Calculate the lowest common multiple of 20 and (s\/(-3))\/((-2)\/(-27)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093147361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let b(y) = -214*y**2 - 2. Calculate b(c(j)).\nAnswer: -214*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*l**5 + 30576*l**4 - 175980*l**3 + 419800*l**2 - 450000*l + 180000 = 0.\nAnswer: 10\/7, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2002816*g**6 - 10*g**3 - 2*g**2 + 1165*g - 14262 wrt g.\nAnswer: -240337920*g**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(m*(m*m**(-1\/11)\/m)\/m))\/(m**0\/m)**(-1\/21) assuming m is positive.\nAnswer: m**(76\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Suppose 2*i - 5 = 5. Let a(n) = n - 3. Give i*a(j) + 6*l(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/11)*p\/p**(-24))**(-26) assuming p is positive.\nAnswer: p**(-7358\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(176) - (sqrt(176) + sqrt(176) + 1*sqrt(176) + sqrt(176))) + sqrt(176)))\/((-4*sqrt(60)\/sqrt(3))\/(sqrt(20)\/sqrt(4)*-1)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by -7600.\nAnswer: -109\/7600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + (-6)\/32*(-158208)\/1152?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*b - 6*r + 5*r, 5*b - 115 = 2*r. Calculate the remainder when 572 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(15\/(-4)))\/(495\/4950)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020553 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.34, -5 in decreasing order.\nAnswer: 0.34, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.19 - 9.99. What is the nearest to v in -2\/11, -29\/4, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 6, r = 2*r - 2*z - 11. Let g = -4 + r. Does 11 divide 29\/((0 + 1)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*g + 329 = 0. What is the second biggest value in 3, 4\/5, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -126\/79 in 4, -2, -1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose 0*z = 2*z - p. Suppose -3*n + 9 = v - 3, 5*v = -2*n + 8. Solve v = k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 9157878?\nAnswer: -1831575.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186190 or -186197?\nAnswer: -186190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 3*f**6\/10 + f**4\/6 + 10*f. Find the third derivative of y(u) wrt u.\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*329\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19106843?\nAnswer: 7, 2729549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10011220.939 - -10018075.9320096. Let b = 6855 - v. Let k = -0.007 + b. Round k to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61626.\nAnswer: 2, 3, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 31*v**2 - 51*v**2 + 81*v**2 - 3. Let u be z(-11). What is u rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8294 and 1.16.\nAnswer: -3.282104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 63909602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -5. Suppose u*z = 2*z. Put z, -5, -2 in descending order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11560 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrl when three letters picked without replacement from {r: 2, n: 1, l: 2, y: 1, p: 14}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -447 - -454. Suppose -z*d - 1467 = -2153. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddttdddddddd. Give prob of picking 1 t and 1 d.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -89198\nAnswer: 3\/44599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 12. Suppose -2*b + 22 = -t. Does 15 divide 0 - (b*-1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.59301367 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*b - 3 - 4 = 0, u - 15 = 3*b. Find the second derivative of r**3 + 2*r**3 - r + u*r wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1004000 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 - 3*b + 4. Let r be o(3). Suppose -5*j - l = -9, -j + 0*j + r = 3*l. Let d = 2 - 1.8. What is the nearest to j in d, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 106*b**2 - 2*b - 49. What is the remainder when 80 is divided by l(-53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/((-7830)\/351 - -22)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 22. Let s be c(9). Let r = s + 17. Sort r, 4, 5 in decreasing order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109930 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 1096830?\nAnswer: 2193660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2772 + -2777. What is the smallest value in 0.04, 1\/6, f, 2\/43?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -257*s**2 + 10*s - 4. Let d(k) = 271*k**2 - 11*k + 4. What is -12*d(v) - 13*m(v)?\nAnswer: 89*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(459)*4)\/(sqrt(24)\/((sqrt(64) - sqrt(64)*2)\/sqrt(8))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -102. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, 3 in ascending order.\nAnswer: -32, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 + 10 = 0. Let p(i) be the third derivative of 0*i**3 + 1\/300*i**6 + 0 + 0*i - 1\/150*i**j + 7*i**2 + 0*i**4. Let p(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 4. Let t = a - -2. Let d = t + 1.83. Round d to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222 - 2699 - 1879 = -145*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -45. Let d = -2 + a. Suppose 0 = 2*n + d*m - 2, -12 = -n + 5*m + 1. Solve y - 6 = 2*b - n*y, 3*b + y = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 - (-4 - -3)). Suppose -2*r + 0*r + 8 = z. Let a(q) = -q**2 + 5*q - 1. Calculate a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + (sqrt(99)*5)**2 + (sqrt(11) - sqrt(11)*1)*-2 + 3).\nAnswer: sqrt(11) + 2478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -2, -9, -20, -35, -54?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1128 divided by -3\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1751, -8782, -15813, -22844, -29875, -36906?\nAnswer: -43937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 + 4. Let v be t(-4). Let z be (v - 2) + -4 - 0. Let b = z - -6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023162?\nAnswer: 2, 3, 7, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.2 + -5.2. Let r = -158573688.0000108 - -158573743. Let g = r - n. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -24 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*u + 3*b - 9, 2*u + b = -6. Let z be (-3)\/u + 152\/(-20). Let v be (9\/21)\/(10\/z). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddwdddwddddwddwdw. What is prob of sequence wdwd?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 4, g: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -108 from 0.721592.\nAnswer: 108.721592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*p - t - t, -p - 30 = 5*t. What is the tens digit of ((-18)\/15)\/(2\/p)*41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55 (b) 2 (c) 0.8 (d) 1188\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6825143 is divided by 272996.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(14)\/(sqrt(2)*-1).\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - x - 156 = 0. Let u = x + -20. Solve -h + 3 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 14) to base 4.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1043445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810936 by -202734.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -cbb8?\nAnswer: -cbbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, -2\/13, 1, -3\/7, 0.1, 67?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 71. Let w(m) be the first derivative of 2 + 0*m + 0*m**v - 2\/3*m**3. Let a(j) = -3*j**2. Calculate a(w(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 1, s: 10, b: 1}. What is prob of sequence xeb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 4*t - 2*t + 66, t + 51 + 42 = -5*q + 30 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 12*k**2 - 12*k + 17. Let b be o(-13). What is the lowest common multiple of 9 and 6*8 - ((-8)\/(-2))\/b?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/21*(42\/1)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13193 and 5357026.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 85. Solve t*n = -11 - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -1\/4 (c) -0.07 (d) -4 (e) 7.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4444 + 2.3.\nAnswer: 1.8556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -181, -182, -181, -178, -173?\n\"Answer: v**2 - 4*v - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(300) + 1 - (-5 + (sqrt(300) - (1 + sqrt(300))) + sqrt(300)*-1*-3))**2.\nAnswer: 420*sqrt(3) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60148 and 30074.\nAnswer: 60148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402973346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 7*g - 663*g + 322 + 244 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14253.355 and -2.\nAnswer: 28506.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 != -1254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/8)\/(-4*4\/32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*t + 13, -181*g = -183*g + 3*t + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.9 + 52. Let l = t - 4.5. Sort -0.1, l, -2\/3, -2 in ascending order.\nAnswer: -2, -2\/3, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 17*w**2 - 5*w + 90. Let r be m(17). Sort r, -1, -64, 4.\nAnswer: -64, -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653116?\nAnswer: 2, 67, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 + 4. Let f be k(-4). Let w be 1\/(f\/10) + -2. Let l(j) = -j**3 - 5*j**2 + j + 5. Let q be l(-5). Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 576 + (2\/2 - 1). Suppose 0 = -5*s + 2*s + n. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 191 = -7*k. Let l = k + 145\/3. Sort l, 23, -2, -4 in descending order.\nAnswer: 23, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 410 + -236. Calculate the remainder when y is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1909*b**6 + 3*b**5 - 2*b**4 + 5*b**2 + 764*b.\nAnswer: -229080*b**3 + 180*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 128441?\nAnswer: 128441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-21)\/24)\/(35\/(-75)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 21. Let g be t(10). Suppose g + 175 = 8*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*b**4 - 24*b**2 - 2*b wrt b.\nAnswer: 5376*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -3)\/(-104))\/((-2)\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-270) + (-97734)\/12285?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -0.4, -3, 4\/7.\nAnswer: -3, -0.4, 0.17, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 2*a. Let i = 7 - 6. Suppose -2 = -j + i. Let g(k) = 2*k**2 + 3*k + 1. Let l(s) = j*x(s) - 4*g(s). Factor l(o).\nAnswer: -2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**2 + 305702*i**3 + 41*i**2.\nAnswer: 305702*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1752*p**2 + 13944*p + 604. Determine t(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2064\/(-352))\/(-43))\/(-1*3).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2\/5*q**4 + 0 + 374\/5*q**2 + 186\/5*q + 38*q**3 = 0.\nAnswer: -93, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*b - 0 - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxxxxzxzzxjxjzjjxx. Give prob of picking 4 x.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3145, 2\/9, 0 in descending order.\nAnswer: 2\/9, 0, -2.3145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-5) + 1\/((-15)\/(-54)). Let c(v) be the second derivative of -v**4\/12 + 4*v**3\/3 - 5*v**2\/2 - 2*v. Let r be c(7). Sort m, r, 4 in decreasing order.\nAnswer: 4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/4)*c**0\/c assuming c is positive.\nAnswer: c**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*t. Suppose t*o - 17 = -5*q + 2*o, -1 = -q - 2*o. Let x be (-9)\/2*((-9)\/3 - 3). What is the greatest common factor of q and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7)*(c*c*c\/c**(6\/7)*c)\/c)**(-19)\/((c**4*c**7)\/(c**(1\/11)*c\/(c**(-3\/2)\/c))) assuming c is positive.\nAnswer: c**(-7829\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y + 1. Let b be d(1). Let g = 588 + -585. Let t(n) = -2*n**3 - 3*n**2. Let i(j) = -5*j**3 - 7*j**2. Give b*t(l) + g*i(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**7\/168 - h**6\/48 - h**5\/48 + 12*h**2. Factor j(i).\nAnswer: -5*i**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 + 443. Suppose -3*s = 5*d - 4*d + 11, d = s + 9. What is the units digit of k\/(d*(-5)\/50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-212)\/1961 + (-13651)\/(-2035)\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (-25 + -30 + 84)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/33514 and 82\/150813?\nAnswer: 301626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 895, 397, -95, -581, -1061?\n\"Answer: 3*s**2 - 507*s + 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134227 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*a + 12 = -t, 0 = -2*a + 2. Let b = 4 - t. Calculate the smallest common multiple of b and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -803339914 rounded to the nearest 1000000?\nAnswer: -803000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13159 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - -8529.55?\nAnswer: 8570.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145800721*j**5 + 97105266*j.\nAnswer: -2916014420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**5\/70 - 3*u**4\/14 - u**3\/21 + 9*u**2\/7 + 2*u - 17. Factor b(x).\nAnswer: 2*(x - 9)*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-28))\/8*-49?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 60. Let v(t) = y*t + 6 - 4 - 4 - 4*t. Is v(4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/4 - 17*w**3\/3 + 13*w**2 + 47*w - 76. Let y be q(-18). Which is smaller: y or -96?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 473 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 + u**3)*(u + 2 - 2) + 1650*u - 1665*u + 4*u**4 - 24223 + 24242 + u**3.\nAnswer: 5*u**4 + u**3 - 15*u + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 58 = -3*b, -3*b - 2*y + 46 = -4. Solve 0 = 5*s + 5*j - 2*j + b, 3*s - 3*j = 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1660520 - -1540?\nAnswer: 1662360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238784 is divided by 137?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwwh when four letters picked without replacement from wwvovvhowhwhhhyww?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:07 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 - 4\/11*p**2 + 0*p + 0*p**3 + 2\/11*p**4.\nAnswer: 2*(p - 1)**2*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112634199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 + 19*d**3\/5 - 3*d**2\/5 - 11*d + 38\/5.\nAnswer: (d - 1)**2*(d + 2)*(d + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:16 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75884 + 75476 = -102*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22263 (base 8) to base 5.\nAnswer: -300040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 8*s - 6*s + 6 = o, 0 = 3*s - 10*o + 60 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*i = 2*i - 162, -147 = -5*d + i. Let o = -28 + d. Solve -f + 2*t + 4 = -o*f, 10 = -5*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -187.\nAnswer: 7\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/3*(-15)\/10. Let o = -26 - z. Let y(h) = 3*h + h - 6*h + 3. Give y(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14499 is divided by 328.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*i**3*j*m**3 + 2*i**3*j*m - 125552*i**3*m**3 + 29*i**3*m - 43*i**3 + 2*i**2*m**2 - 6*i**2*m + 14*j*m - 2*j wrt m?\nAnswer: -546*i**3*j - 753312*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2 - n - 2. Let t be x(-1). Let k = 13 + -6. Is k at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/3784 + -60139\/306504. Is 0 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 1070, 1075, 1082, 1091?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 44*u + 69*u = 3515 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1870\/(-33) + 1\/(-3). Let x = t - -330. Let i = -179 + x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Suppose i*k - 25 = -2*l + 3, 5*k - l - 21 = 0. Suppose 4*b = 5*u + 9*b + k, 4*b + 8 = -3*u. Solve 5*g - 4 = u*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 - k - 1. Let c be d(2). Let y = c + -11. Does -19 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -20*m - 34. Let h be y(10). Let r = -157 - h. What is the remainder when r is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-54)*-1)\/(((-714)\/(-42))\/(-714)*-14)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/7 (b) -3 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 3*y**2 + y**2 - 2*y**2 + 3*y**2 + 0*y**2 + (y - 3*y + 0*y)*(-25*y + 31*y + 21*y) + (y**2 - y**2 - 2*y**2)*(4 - 1 - 1) - 2*y**2 + 3 - 3.\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9 = 3*g - 2*j, 3*g = 4*j + 9. Suppose -n + s = -g*n - 18, -5*s = -10. Is (-3)\/(-6) + (-1265)\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (-6 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by 17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 742852 and -3.4678?\nAnswer: 742855.4678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x + 72*x = y - 154, 2*y = -3*x + 308. Calculate the remainder when y is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -126856?\nAnswer: 3298256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 - 4*k - 15. Let v(o) = -8*o**3 + 2*o + 16. Calculate 3*b(i) + 2*v(i).\nAnswer: 2*i**3 - 8*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 207. Let c(z) = 6*z**2 + 3. What is c(f(l))?\nAnswer: 6*l**4 - 2484*l**2 + 257097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*y - 3*d, -7*d = -10*d - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(1*sqrt(1600)*-5)\/((sqrt(320) - -2*sqrt(320))*2)*-6.\nAnswer: 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2 + 0*o - 1)*(45*o + 889 - 889).\nAnswer: 135*o**2 + 45*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 2165359 in descending order.\nAnswer: 2165359, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.03, -2305104, 0, 2 in descending order.\nAnswer: 2, 0, -0.03, -2, -2305104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -20. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.9 (b) -39 (c) 2.238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) -0.5 (c) -1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 2857656*z + 510387363396.\nAnswer: 4*(z - 357207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4165427 (base 8) to base 16\nAnswer: -10eb17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 12, 90\/19, -0.02, 2\/61?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38777, -78881, -118985, -159089, -199193?\nAnswer: -239297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 4*i + 9*i = -2198. Which is the nearest to 2? (a) i (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1131 and 174941.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/5))**46\/(((v*v*v*(v*(v**(-4)*v)\/v*v*v*v)\/v*v)\/v)\/v*v*v\/(v\/v**(-1\/5))*v))**(-18) assuming v is positive.\nAnswer: v**(-1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2026, 4052, 6080, 8110, 10142?\n\"Answer: w**2 + 2023*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.116 * 8495.\nAnswer: 985.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose -2*h = -5 - k. Solve l + 30 = 5*t, -l + h*l + 10 = -t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-88.13656\nAnswer: -17.627312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -30*i**4 - i**2 + 2*i - 1. Let n(k) = 7088*k**4 - 5*k**2 + 103*k - 21. Let d(a) = -5*f(a) + n(a). What is the second derivative of d(s) wrt s?\nAnswer: 86856*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28135 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 72*y**2 - 144*y - 688. List the prime factors of t(-73).\nAnswer: 3, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 30*f**2 - 7*f + 28. Let i = 30 + -25. Let s(c) = -i*c + 5*c + 20*c**2 - 5*c + 19. Let u(x) = -5*h(x) + 7*s(x). Differentiate u(k) with respect to k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*h = -5*r + 486*h + 33, -2*r - h = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21079030 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/9158472 and -61\/3884?\nAnswer: 9158472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13.62809 centuries?\nAnswer: 136.2809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -125752729, -125752730, -125752731?\n\"Answer: -s - 125752728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*m - 153201, 3*w - 2*m = 2*m + 114907. Suppose 10763 = -2*u + w. Suppose 0 = -26*b + 19*b + u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 + 13*h - 13*h)*(5 - 4 - 2)*(h - 3*h + 0*h) in the form d*h**2 + l*h**3 + u*h**4 + y + k*h and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 4*v - 3. Suppose h - 24 = 6. Suppose 3*q = 4*z + z + 20, -5*q + 5*z + h = 0. Calculate n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2046 divided by 11.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386380*z - 386380*z - 982*z**2.\nAnswer: -982*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572*u + 4*u**3 + 571*u + 2 - 4 to the form a + t*u + j*u**2 + d*u**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 6*j + 1. Let r be v(5). Is 7 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*r + 5*w + 59, -3*w + 78 = -4*r. What is the fourth biggest value in 0.4, 3, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 0*b**2 - 1009*b - 1014*b - 1006*b + 3029*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 274\/17 + 8\/(-68). What is the highest common divisor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**4 + 8*f**4 - 3*f**4 + (-3*f - 2*f + 3*f)*(2*f**3 - 2*f**3 - 2*f**3).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80328 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (47\/7 - 1) + 728\/2548. Solve f - 3*h + 4 = g*f, 2*f - 10 = 3*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316 divided by 1354?\nAnswer: -658\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {r: 8, o: 2, a: 2, e: 2, p: 2, i: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 134, 138?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8106*j**3 - 4 - 8028*j**3 - 6.\nAnswer: 78*j**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6581 is divided by 68.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 3*r**2 - 2*r**2)*(2*r - 6*r + 3*r) + 4*r**3 + 4*r**3 - 5*r**3 + (-r**2 + 3*r**2 - 4*r**2)*(1 - 2 + 2)*(3*r - 3*r + 3*r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 8*q - 3. Let n be w(8). Does 8 divide 8\/((3\/(-2))\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(11) + (sqrt(11) + sqrt(132)\/sqrt(3))**2 + -4.\nAnswer: sqrt(11) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/79 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6233 - -10389. Sort f, -4, -0.2 in increasing order.\nAnswer: -4, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203636532 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: Suppose 50 = -9*c + 11*c. Solve 3*x - 4*l = 20, 2*x - 4*l = l + c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 383, 0.2, -6\/77, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from aaioaooooifo.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62712963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 706*r - 10813. Let q be p(-15). Which is the closest to q? (a) -4 (b) -5 (c) 0.04 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q + 0*q)*(-2*q**2 + 0*q**2 + 0*q**2) - 5 + 3*q**3 + 5 + 3*q**3 + 2 - 2 + 3*q**3 + 4*q**3 - 5*q**3 to r*q**2 + g*q**3 + k + h*q and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-2)*4\/6. Suppose 3*q = -2*d + 14, -y*d + 60 = 5*q - 7*d. What is the remainder when 15 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120503 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 5. Let a be z(5). Let i be 3 - (a\/1 - 2). What is the remainder when 18\/i + 4\/10 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -0.1. Let v = 69\/2 + -34. Which is the nearest to h? (a) v (b) 0 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 26*p - 14. What is v(-26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b + 120. Calculate k(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/5, 0, -1.05, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 + 7. Let y = l + 2.7. Let d = -1\/31 + -27\/124. Does d = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-20) + 5 + 108\/(-20). Let t = -64.6 + 69.6. What is the nearest to -0.2 in -3\/5, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 40*b - 293. Is f(50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111212 + 0?\nAnswer: 111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let q(f) = 15*f**2 + 18*f - 7. Let v(g) = -7*g**2 - 10*g + 4. Let o(d) = -3*q(d) - 5*v(d). Let r(z) = -o(z) + 4*y(z). Determine r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/12 + 5*s**3\/6 + 11*s**2\/2 + 15*s. Let x be w(6). Let m(d) = 15*d + 5. List the prime factors of m(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111895641 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -3 - -13) + 199\/5 + (-4)\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Solve -s*a = -a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123244, 246492, 369742, 492994?\nAnswer: 616248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*d + 1101 + 179 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 32763962*r**2 + 65527921*r + 32763960.\nAnswer: (r + 1)**2*(r + 32763960)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 7988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 11) to base 7\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 0*o**2 + o**2 + 3 + 4*o. Let q be s(-13). Suppose -4*l + 5*l = q. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71292 divided by -156.\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i + 44. Suppose 5*s + i = k, 3*k - 4*s = 2*k + 19. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + 0*k + (-41*k + 7*k + 12*k)*(17 + 6 - 5) + 35 - 3*k - 35.\nAnswer: -398*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -85. Let d be -15*3\/(-36)*u. Let l(z) = z - 1. Let q(m) = -4*m**2 + 5*m - 3. Give d*l(i) - q(i).\nAnswer: 4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/(-5))\/((-165)\/(-1100)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 + g**4 - 4*g**4 + 0*g**4 - 2*g**4 + (5*g - 4*g - 2*g)*(4*g**2 - 2*g**2 - 5*g**2 - g**3).\nAnswer: -4*g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -171*h - 3807. What is j(-21)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2))\/((-1736)\/(-434))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1320808245 to the nearest integer?\nAnswer: 36343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 518538 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -33405.18 to the nearest one hundred.\nAnswer: -33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1545.5 - 1546. What is the closest to -1\/2 in -0.2, 0.06, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 81. Suppose -18*b = -q*b + 15. Suppose 3*k - 6*k - b*d = -40, 10 = -2*k + 4*d. Solve -6 = -k*j - 31 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48, 13, -22, -57, -92?\n\"Answer: -35*t + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5052167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52805*t**3 + 3*t**2 - 296*t - 58172794 wrt t.\nAnswer: 158415*t**2 + 6*t - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, i: 1, q: 1, r: 1, c: 3, p: 1}. What is prob of picking 2 a and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21*s**2 + 225*s - 150. Let c be m(10). Which is greater: c or 295\/41?\nAnswer: 295\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 20*v + 7. Let r be n(-8). Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-65)*364\/504?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/3 - -13\/6. Let k = -6 - -9. Which is the nearest to 1? (a) w (b) k (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9942 - 0.0058. What is the fifth biggest value in 1, -34, 3\/4, 1\/5, a?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(64\/(-12))\/(-8). Sort -3, -4, 5, q in ascending order.\nAnswer: -4, -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 2*u**2 + 0*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -269. Let s = 163 - h. Sort 0, -0.2, s, -5 in descending order.\nAnswer: s, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (11 + -9) - 25.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10284 - 7079. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 31. Suppose 6 = 9*v - 7*v - 4*o, -3*v - 5*o + 53 = 0. Suppose v = -3*q + h - 38, -q - 38 = 4*h. Let j be a(q). Solve -3*i + 2 = -j*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27373?\nAnswer: 31, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*h + 28392 = -311*h for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 44 = -3*z. Let y = z + -13. Solve y = -r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3689 * -0.1853.\nAnswer: -683.5717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/7*(-21)\/28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(45) - sqrt(324)*2)\/(-2*((sqrt(3) - (sqrt(72)\/sqrt(3))\/sqrt(8)) + sqrt(3) - -3*sqrt(12))).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-3)*2\/(-12). Suppose 0 = -d + 4*d. Let c = -0.71 + 0.31. What is the nearest to l in c, d, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4879 (base 15) to base 9\nAnswer: 23126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 1\/4, -0.13 in increasing order.\nAnswer: -6\/5, -0.13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128896 is divided by 462.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m - 3. Let w = 120 - 125. Let u(y) = 1. What is w*u(b) - f(b)?\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*x = 19, 0*d - d + 16 = -3*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89628544 - -10083?\nAnswer: 10083.89628544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-84))\/((-656)\/287).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3.3 (b) -11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-11)*(-1)\/(-3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/7 + 12209*c**2\/7 - 1331108*c + 332668.\nAnswer: -(c - 1526)**2*(4*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/4 + 6654*u**2 - 133061*u\/4 + 79833\/2 = 0.\nAnswer: 2, 3, 26611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0 + 3 + 2 + -5 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101074, 202159, 303252, 404353, 505462, 606579?\nAnswer: 707704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(1*sqrt(36)) - (5 + -2*sqrt(700)))**2.\nAnswer: -205*sqrt(7) + 11867\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243039466*b - 4*b**2 - 243039466*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 1021588*u - 7151312.\nAnswer: 4*(u - 7)*(u + 255404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + 0.1. Let q = 1059 + -1059.01003. Let x = f - q. Round x to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*b**4 - 2*b**3 - b**3 + 8*b - 9*b**4 - 8*b - 3*b**2 as i*b**4 + x*b + s*b**2 + y*b**3 + l and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:47 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(189*140\/3439800)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183.00252 + 183. What is f rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117174 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/72 and -5\/78.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1904 and 2852872.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48487*x + 13200 = -49367*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 76*g - 3850. Calculate the highest common factor of g and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/19 - 154*r**2\/19 - 3272*r\/19 + 376.\nAnswer: 2*(r - 94)*(r - 2)*(r + 19)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*k - 23 = 0, u + 5*k = -3*u + 32. Suppose 5*o - 4*g = 21 + 26, -2*o + 11 = g. Solve -u*n + 4 = -o*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 + -473. Suppose -43*n = -31*n - b. Solve -2*g + n*r = 2*g, 2*g = -5*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (574\/(-41))\/((-4)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6342 and 0.5?\nAnswer: 6342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -18) + 4 + -3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.209762.\nAnswer: -0.0209762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73*l**2 + 2750*l - 2750*l)*(-3*l + 7*l - 3*l) to x*l**2 + q*l**3 + u + y*l and give q.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-20)*2*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*o + 22*o**3 + 2186691 + 805*o - 2186691.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79345152 by -51456.\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 591944237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*y**2 + 6 - y + 3 - 10 + 8 to the form n*y**2 + l*y + x and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38833391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z**3 - 31*z**3 - 62*z**3 + 763*z.\nAnswer: -142*z**3 + 763*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11635297 - 11635297 + 2*l**2. Let i(c) = 43*c + 16*c - 19*c. Determine i(y(r)).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.3. Let r = -0.8 - -1.1. Let x be (-18)\/24*20\/(-6). Which is the third biggest value? (a) x (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62683478 divided by 438346.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -22. Let h(b) = -44*b**3 - b**2 - b + 1. Let s be h(-1). Let p = s - u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3000352101 rounded to 5 decimal places?\nAnswer: 0.30004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4 + 41881*f**3 - 584435202*f**2 + 2714109005740*f + 46308960715832 = 0?\nAnswer: -17, 13966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/15 - 224*v**3\/15 + 6908*v**2\/15 - 11872*v\/5 + 16854\/5.\nAnswer: 2*(v - 53)**2*(v - 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 - 4*q + 2. Let d be h(2). Let z(n) = -4*n - 127. Determine z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, v: 3, r: 9}. Give prob of sequence rr.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = -i + 16, -5*i = -4*f - 98. Solve c - i = 5*a + 9, 2*a = -c - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 776*d**2*m + d**2 + 20*d*m - 536520*m wrt d.\nAnswer: 1552*d*m + 2*d + 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.027 - 0.173. Which is the closest to 3? (a) t (b) 0.2 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*z**3 + 142*z**3 - 41*z**3 - 17*z**3 - 35*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34462920173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461676672?\nAnswer: 2, 11419349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -17?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o\/(o*o*o\/(o\/(o\/o**(3\/7))))*o)))\/(((o\/o**6*o)\/o)\/o)*o**(-6\/7)*o*o*o\/(o*o*o**(-5))*o*o assuming o is positive.\nAnswer: o**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - ((2618\/7)\/11)\/2)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 - 28*n**3\/5 - 3*n**2 + 18*n\/5 = 0. Calculate n.\nAnswer: -1, 0, 3\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 176427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 21\/2. Let i = 35.8 - 37.8. What is the biggest value in x, i, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112*546\/10290 - (68\/(-35) - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + w + 2 + (-1 - 3 + 2)*(-2*w + 2*w - 2*w) + (1 + 0 - 2)*(-4*w - 2*w + 3*w))*(3*w + 0*w - 2*w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148908*x**2 - 148956*x**2 + 298017*x**2.\nAnswer: 153*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 8:13 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122.263 centuries in millennia?\nAnswer: 612.2263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3742, -7789, -12130, -16759, -21670, -26857, -32314, -38035?\n\"Answer: l**3 - 153*l**2 - 3595*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1019 - -1018.8. Let m = 161\/6 - 49\/3. Which is greater: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/28740 and -173\/29487240.\nAnswer: 29487240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 - 480 = 2*d - m, 5*d + 5*m = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 10*q - 3. Let h(f) = -f**2 + 12*f + 36. Let s be h(15). What is o(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r - 2 = 45*r + 2*i, 15 = 5*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152034 is divided by 80?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -2*g**6\/5 + 2*g**2 - 10*g. What is the derivative of b(k) wrt k?\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -52.6. Let p = 1.802 + -10.502. Let i = d - p. What is the closest to -2 in -1, i, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/14)*i*i*i*i**(2\/29)*i*i*(i**(-1\/4))**(-22) assuming i is positive.\nAnswer: i**(2102\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 201.676775 and 1.0473?\nAnswer: 200.629475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2671 is divided by 1505?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m. Suppose -2*c = -m*c + 2*v, -2*c - 35 = -5*v. Which is greater: 2\/15 or c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f + 3*f**2 + 20 + 7*f**2 - 2*f**3 + 2*f**3. Let y be b(-8). Suppose -a + 3*o + 52 = -0*a, y = 2*a - 2*o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -35\nAnswer: -94\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 348593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 150, 293, 434, 573, 710, 845, 978?\n\"Answer: -w**2 + 146*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 356*(-5)\/(-90) + -25 + 23 + -8. Solve 20\/9*p + 0 + u*p**3 - 14\/9*p**4 - 94\/9*p**2 = 0 for p.\nAnswer: 0, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 4073760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 8*d - 12 = 0. Let t = d - -16. Solve -t*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4455 or -22282\/5?\nAnswer: -22282\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g - 690. Determine z(-30).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*p - 1 + 4)*(6*p + 6*p + 7*p).\nAnswer: -57*p**2 + 38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -259, -914, -2207, -4354, -7571, -12074?\nAnswer: -18079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-5)\/6*(-138)\/(-3220).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 585*s**3 - 115*s**2 wrt s.\nAnswer: 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116\/5 or 22?\nAnswer: 116\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x + 0*x**3 - 1\/2*x**2 + 13\/12*x**4 + 0. Let k be y(1). Solve k = 4*r - 3*b, 0*r + 3*b = r - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**4 - q**3 + 2*q**2 - 1. Let n(u) = -18*u**4 + 28*u**3 - 11*u**2 - 5*u + 3. Let i(g) = 3*f(g) + n(g). Find y such that i(y) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000075476779 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 2642116*c**2 = 0. What is c?\nAnswer: 0, 1321058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111011100100101011 (base 2) in base 15?\nAnswer: 5ca0ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 74 = 3*k, 5 = 4*s - 5*k - 53. Suppose -s = -2*q + 59. Let b = -18 + q. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-12 - -7) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.7345 centuries in millennia?\nAnswer: 77.67345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18301*x + 9161*x + 1 - 1 + 9142*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379*78.\nAnswer: -29562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 316408, 316409, 316410, 316411, 316412?\n\"Answer: b + 316407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhc when four letters picked without replacement from {c: 5, h: 14}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41686 and 19450907.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/2, -0.2, 31\/2.\nAnswer: -3, -0.2, 1\/2, 31\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11306*u. Let y(r) = r**2. Determine o(y(m)).\nAnswer: -11306*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 - 5*l + 3. Suppose -2*z = -0*z - 10. Let a be u(z). Solve -a*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 10:02 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 244 (b) -2\/31 (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/5 (b) -2 (c) 2\/3 (d) -2\/5 (e) -5 (f) 4\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 3*k**2 + (-5*k - 2*k + 3*k)*(4*k - 5*k - 4*k))*(3 - 4 + 5).\nAnswer: 92*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = 5*k - 114, y - 67 = -3*k. Let x be 4 + -8 + k\/6. Let d = -4.5 + 0.5. What is the third biggest value in x, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 23*n + 38. What is r(23)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = 0, 2*r = -0*r - 5*q - 15. Let p = 4.2 - 4.3. Which is the smallest value? (a) r (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.5 (c) 0.28 (d) -101 (e) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pziggipoiipiioitg. Give prob of sequence ig.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -357.28 and -132990.\nAnswer: -133347.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*t + 50 = 0, 20 = 4*w - 5*t - 11. Let p(q) be the third derivative of 1\/3*q**3 + 0 + 0*q - 5*q**2 - 3\/8*q**4 + 1\/60*q**5. Calculate p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292.64 - -300.74. What is the nearest to -2\/5 in -2, j, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/16 - q**3\/6 - q**2\/8 - 11. Find m such that k(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11311523 + 50?\nAnswer: 11312013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 146341 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + 3 + -1*sqrt(68) + sqrt(68) + sqrt(68).\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109607 is divided by 4566.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -714549 (base 11) to base 16\nAnswer: -11844c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2.6, -4\/3, 312, -0.4, -0.2, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p + 1016 = -239 + 94 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2.876 (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d + 1. Let f(c) = 11*c + 1. Let v(x) = -6*f(x) + 5*h(x). Suppose 0 = 139*y + 37*y - 33*y + 143. What is the remainder when 102 is divided by v(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 32 = -8*k. Let j(z) = 10*z - 10. Calculate the remainder when j(k) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by (-168)\/(-21 + 9) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-20))\/2)\/(1 - 0)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 218 in -157\/7, 1, -5, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 10) to base 5.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4648389.31 - -0.2?\nAnswer: 4648389.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x + 2*a + 32, 3*x - 4*a = 86. Find the third derivative of -213*m**5 - x - m**2 - 54*m**6 + 213*m**5 wrt m.\nAnswer: -6480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/6 + 21\/462*-33?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + d - d**3 - 11 + 42 to x*d**3 + b*d + s + q*d**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.44128 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 53*r - 52*r. Let j(w) = -w**3 + 8*w**2 + 7*w - 8. Let b be j(9). Let p = b + 27. Calculate the remainder when p is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*y**3 + 1 + 0 - 2*y**2 - 3 in the form s*y**3 + m*y**2 + z + t*y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*g**3 - 4490738*g**2 - 630210804612*g - 157552420482.\nAnswer: -2*(g + 280671)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 189, 702, 1555, 2748?\n\"Answer: 170*h**2 + 3*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -323*t**4 + 2*t - 60*t**5 + 323*t**4 + 136*t**2 - t**5 wrt t.\nAnswer: -3660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 275 + -128. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7410408800 and -0.06?\nAnswer: 7410408799.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -127, -68, 181, 620, 1249, 2068?\n\"Answer: 95*d**2 - 226*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -1\/6*b**4 + 0*b + 0*b**6 + 0*b**5 + 3*b**2 + 0*b**7 + 0*b**3 + 0 + 1\/112*b**8. What is the second derivative of c(m) wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48842327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/45)\/(1\/(-654)) - ((-290709)\/(-1455) + -199)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-5)\/2775). Find the common denominator of -2 + 2 - f\/(-140) and 83\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 1 + (8 - 1). Suppose -5*g = -3*o - 42 + 68, -g = 2*o. Sort -18, -3, g, a.\nAnswer: -18, g, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55d + 559d8?\nAnswer: 5547b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 3*z**4 - 5*z**4 - 2*z - 18*z**2 + 15*z**2 to k*z + b*z**3 + a + q*z**2 + h*z**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o, 2*s - o = 2*o. Let k be (-87 - -2427)*20000\/3. Suppose -s*i = i - k. What is i rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106\/51 + 24\/17. Let n = -1.2 - -1.1. Which is the second biggest value? (a) -4 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3396856 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71263744987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884624 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -12, 1, 6 in increasing order.\nAnswer: -12, -4, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 1\/62, 3, 1\/4, 0.4, -212\/9, -4?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1594)\/(-4)*(-29 - -31).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 45*l + l**2 - 33*l + 62 - 18.\nAnswer: -2*l**2 + 12*l + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 23*z**2 + 2*z - 6. Let r(k) = k**3 - 20*k**2 + 2*k - 5. Give 7*r(p) - 6*x(p).\nAnswer: p**3 - 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 - 215752\nAnswer: -215750.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amtttmttmm. What is prob of picking 2 m and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30103221 (base 5) to base 14\nAnswer: -629d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -964*x + 6734. Calculate j(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/((((v**(2\/13)*v*v)\/v)\/v)\/v))**18 assuming v is positive.\nAnswer: v**(756\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268018884, -268018885, -268018888, -268018893, -268018900, -268018909, -268018920?\nAnswer: -268018933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p**3 + 134*p**3 - 46*p**3 - 197 - 43*p**3.\nAnswer: 2*p**3 - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/70740 and -61\/297.\nAnswer: 778140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3875.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 1 - 4, 5*u - 19 = -3*v. What is the remainder when (-2)\/(-7) - (-645)\/21 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.86 - -0.14. Which is the closest to 1? (a) 2\/5 (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1987717 and 746.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*p + 5*u = 289*p + 65, -2*p - 2*u - 10 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584 + 256 = -4*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 357*y**2 + 178*y**2 + 179*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (756\/56)\/(84150\/680)?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236506484 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 2. Let h(w) = w + 1. Give 3*c(y) - 3*h(y).\nAnswer: -6*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let f(g) = 334243*g. What is n(f(w))?\nAnswer: -668486*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v - 3*x, 4*v + 2*x + 12 = -0*v. Let s be v\/(-26)*(-7 - (-1 - 3)). Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -62. Calculate the greatest common factor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/112*4\/(-72)*-21\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1438 + -1710. Which is the closest to v? (a) 3 (b) 4\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 - 2*c + 3. Let h be v(3). Suppose p + 3 = 4*g - h, -g = 2*p. Solve -i + g = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -1. Let x(s) = -s**2 - 4*s + 2. Let r be x(k). Let l(u) = -u**2 - u**r + 4*u**2. Let y(w) = w**2. Calculate l(y(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 5, 1, -1925?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 11*p + 8. Let u be f(10). Calculate the least common multiple of 11 and (-6 - (-6 + 2))\/u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -2\/47 (c) -8.743 (d) 1\/4 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u - 3*z + 44, 5*u = 4*z - 75. Let g = u + 14. Suppose 0 = -4*q - g*y + 97, 2*y + 15 = q - 12. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**(-9\/2)\/s))**(-40)*s*s\/(s\/s**6)*s\/(s\/s**(3\/16)) assuming s is positive.\nAnswer: s**(-5325\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 1 + 5*r**3 + r**3 - 5*r**3 in the form v*r**4 + q*r**2 + f*r + g*r**3 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1142 + -1147.81. Let o = -5.4 - j. Let k = o - 0.01. Which is the third smallest value? (a) 4 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 3:14 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((-55)\/(-10))\/(2\/(-40)). Suppose 0 = -110*x + b*x - 600. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.2 (c) 1352 (d) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -708*m**2 - 2*m + 1. Let z(w) = 5*w**2 - w + 2. What is -2*k(n) + 2*z(n)?\nAnswer: 1426*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c\/((c\/c**3)\/c*c))\/c*c**5)\/(c**(-1)*c*c*c**1) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39304*n**5 - 162*n**2 + 21 wrt n?\nAnswer: 2358240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdoovz. What is prob of picking 1 d and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6*l**2 - 7)*(-4*l - 3*l + 0*l).\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and -1157.\nAnswer: -138840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76492, 76495, 76498, 76501, 76504, 76507?\n\"Answer: 3*r + 76489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 94?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2. Let l be (-156)\/(-288) + 1\/(-2). Let a(t) be the third derivative of -2*t**2 + 0 + 0*t**3 + 0*t + l*t**4. Calculate a(d(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1580\/8*(-12)\/(-10). Let s = q - 242. Suppose 3*n - 12 = -36. Sort n, s, 2, 3 in increasing order.\nAnswer: n, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 9*o**2 - 9*o + 12. Let j be b(8). Suppose j = h - 5. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 4*j + (0 - 4 + 2)*(-2*j + 2*j - j))*(-7*j**2 + 5*j**2 - 7*j**2).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 < 327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9359*u + 652*u**2 - 9359*u.\nAnswer: 652*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-2496)\/1404*(-3)\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155\/154 - -3\/22. Let c = 15\/19 + -113\/95. What is the fourth smallest value in c, d, -2\/3, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4126860 is divided by 1375620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2*w**2 - 4. Let h(n) = 0*n - 20*n - 5*n. Determine x(h(k)).\nAnswer: 100*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*a = 25, 0 = -3*u - 0*a - 5*a - 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 1 - 4 + 4 - 1 to l + o*z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 1970*i - 872247. Determine g(672).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 4*o**2 - 8*o**2 + (0*o - o + 3*o)*(o - 1 + 1) - 5 + 2*o**2 + 5)*(-85 - 59 + 98 + 262).\nAnswer: -1728*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8027863*y**4 + 18*y + 153906.\nAnswer: -96334356*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 25. Suppose -4*j + 3*s = -3, -j = -0*j - 3*s + 6. Let n be 10\/3 - 1\/j. What is the third biggest value in -1\/5, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18048 - 18052. Put h, 5, 6.74 in descending order.\nAnswer: 6.74, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - q + 38, -2*q + 46 = -216751*z + 216747*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - 26. Let l(a) = -a + 13. Let d be l(t). Solve d = -3*j + 1 - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 3. Let i be -4*3\/(-6) + -4. Let v be (i\/(-4))\/(1\/20). Is n(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2652, -5302, -7924, -10524, -13108?\nAnswer: -15682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*3*(1 - 4). Let b be p\/(-5) + (-4)\/10. Let c = 10 - b. Solve -3*l = -c*i + 7, l = -2*i - 0*i + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/1403 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40892*w**2 - 4403*w**2 + 45286*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 2*b - 2. Let x(c) = c**3 - 2*c**2 - 13*c + 32. Let l be x(3). Let o(u) = -18*u + 38*u + 10*u**2 - 31*u - 10. Give l*o(y) - 11*p(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y - 2*y)*(808*y + 53 + 34 - 86).\nAnswer: -2424*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3310 + -34?\nAnswer: -3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11177073 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/15)\/(p*p**(4\/5)))\/(p*p**5)**(-8))**(-42) assuming p is positive.\nAnswer: p**(-9688\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7556 - -7557.7. What is the nearest to h in -1, -0.5, -2\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91428 by 6.\nAnswer: 15238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r + 4367 - 61679. Suppose r - 23754 = -6*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19858701.\nAnswer: 3, 73, 90679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 0.04. Let o = 15395\/236 + -261\/4. Is q at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.98 + 1. Let u = -0.22 + m. What is the biggest value in u, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*f**4\/7 + 16344*f**3\/7 - 1130896*f**2\/7 + 4416512*f - 41402368 = 0. Calculate f.\nAnswer: 224\/9, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2.4, -4, -0.07 in increasing order.\nAnswer: -4, -2.4, -0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 - 85*y - 13. Let l(z) = -19*z**2 + 170*z + 28. Determine -6*l(h) - 13*n(h).\nAnswer: -3*h**2 + 85*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 2*a**2 + 2*a + 1. Let v be t(-1). Let i(s) = -7 + 3 - 3 - 4 + 2 + 3*s. What is the remainder when i(v) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*a - 1470831 = -7099914. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, n: 5}. Give prob of sequence xxn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194055 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.6 and -1.3885.\nAnswer: 27.2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.804529 nanoseconds to microseconds.\nAnswer: 0.002804529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1 + 0*k**2 + 15 - 3*k + k**2 + 11*k. Let u be o(-3). Put -4, u, -15, -1 in descending order.\nAnswer: u, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/(3\/(-18)). Find the third derivative of -q**4 - 2*q**4 - 2*q**2 - 4*q**4 + 4*q**c wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32657813 is divided by 3653?\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 + 259. Calculate the greatest common divisor of g and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 26185716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1 + 95*k**3 - 2 + 5 - 2*k. Let z be m(1). Find the second derivative of 21*p + 65*p**4 + 44*p**4 - z*p**4 wrt p.\nAnswer: 168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -7 - (-9 - -25 - 1 - (1 - -26)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 50, 74, 116, 182, 278?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f**2 + 3*f**2 - 2*f**2)*(-43*f - 22*f - 155*f) to u*f**3 + j*f**2 + q*f + n and give u.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4faa (base 16) in base 13?\nAnswer: 938a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 2 + 4 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46571, 88576, 130579, 172580, 214579, 256576?\nAnswer: 298571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. What is the third derivative of -h**i + 2*h**2 - h**2 - 3*h**2 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(22023584*z - 6280*z**2 - 22023584*z)*(0*z - 3*z + 2*z)*(0*z**2 + z**2 - 3*z**2).\nAnswer: 25120*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:50 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 5) in base 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-2)*(-76)\/114. Let g(x) be the second derivative of 0 + 0*x**2 - 3*x - 1\/6*x**3 - 1\/5*x**p + 0*x**4. Find the second derivative of g(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (56\/(-11) - -4).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bml when three letters picked without replacement from {m: 6, l: 4, j: 1, b: 7}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 + 4*p**2 - 4*p. Let h(d) = 4*d**3 - 4*d**2 + 3*d. Give 2*g(k) + 3*h(k).\nAnswer: 2*k**3 - 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5407, -5261, -4873, -4123, -2891, -1057?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -86\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 5) in base 14?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {e: 1, z: 1, i: 1, l: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 20 = 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - -3 - (-9 - -2)) + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410 + -1324011?\nAnswer: -1324421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 - k. Let x be n(0). Which is the smallest value? (a) -6.2 (b) -2\/9 (c) x (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144\/5 + 1862\/65. Let x = 0.0594 - 0.3594. Which is the biggest value? (a) 1\/3 (b) x (c) g (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - n + 4*n**2 - 4*n + 4*n. Let a be k(-4). Suppose f - 180 = -a*f. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214675 (base 10) in base 15?\nAnswer: -4391a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 275*r**2 + 143*r - 144*r - 349*r**2.\nAnswer: -74*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-211000)\/(-176) - 3\/6*1. Let p = -1196 + f. What is the common denominator of -22\/23 and p?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1417120 divided by 80\nAnswer: -17714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28427621641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -15*o + 41. Let k(m) = 15*m - 40. Let t(g) = 4*k(g) + 3*s(g). What is the remainder when 149 is divided by t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 19. Suppose -7*t + 4*t + 3 = k. Let a be (2 - t) + (-6)\/(-3). Solve -4*y - 4*z = 40, 4*y - 8*y - 5 = -a*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 + -122. Calculate the least common multiple of a and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -586*c*l**5 + c*l**3 - c*l**2 - 3*c wrt l.\nAnswer: -35160*c*l**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 1. Let m be s(0). Put 3, -3, m in increasing order.\nAnswer: -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(1 - (1 + 2\/4)). Suppose p - 60 = -4*j + m*p, 0 = -5*j - 2*p + 108. Calculate the highest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 190 (b) -70428 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*s**2 + 2*s**3 - 3*s**3 + 87*s**2 + 2*s**5 wrt s.\nAnswer: 120*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + i + 2. Let u be d(2). Let x = -5 - u. What is the third derivative of n - 3*n**2 + n**2 + 2*n**x - n wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19 + 17*o - 13*o**2 - o**3 - 6 - 43*o. Let i be a(-11). Suppose c - i = k + 3*k, -c - 5*k - 17 = 0. Solve 5*u + 9 = c*n + 4*u, 0 = -u - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 788795 smaller than 788801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 15 = 5*u - 3*u, u = -5*s - 10. Let z(o) = -o**2 + 3*o - 1. Let t be z(2). Is t smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:48 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g - 85. Let p be b(11). Is -4*(-701)\/(-2)*(-35)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1816 and -39\/92?\nAnswer: 41768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.081 and 362335694.\nAnswer: 362335694.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0 (b) 0.2 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 20*h - 19*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptj when three letters picked without replacement from {j: 2, z: 2, c: 1, p: 2, t: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 8. Let l be 4\/(-18) - 168\/(-27). What is the remainder when m(l) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**2*z**2 + 102*u**2*z + 2*u + z**4 - 13*z**3 + z wrt z?\nAnswer: -10*u**2 + 12*z**2 - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -5*i + 55. Let f be 6\/(-24) - 4\/((-16)\/i). Put 3, f, -1, 4 in ascending order.\nAnswer: -1, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83419.\nAnswer: 7, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9508166 to 2 decimal places.\nAnswer: 1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:09 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5830928 (base 11) to base 2.\nAnswer: 100110111000000110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*q - 150 = -80, 2*q = -5*z + 127. Let b be 2\/((4\/175)\/2). What is the greatest common factor of z and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 201.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:16 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 163 = 43 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}