diff --git "a/data/dm_maths/full_data/2501_11255.jsonl" "b/data/dm_maths/full_data/2501_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2501_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 5*q - 38*q - 55*q + 14*q - 30*q.\nAnswer: -104*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**3 - 7*y**2 + 5*y. Let z(o) be the second derivative of 9*o**5\/20 - o**4\/2 + 2*o**3\/3 + 30*o. What is -4*m(s) + 5*z(s)?\nAnswer: 13*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -79. Solve -h + 4 = o*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -695\/8 - -87. Let v(o) be the third derivative of 0 - 1\/120*o**6 + 0*o + 0*o**5 + s*o**4 - 1\/3*o**3 - 4*o**2. Give v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1023.899 to the nearest integer.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14731 - -0.14797832. What is r rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2176 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 4*j - 8. Let o(a) = -9*a**2 + 4*a + 10. Let w(l) = 4*o(l) + 5*q(l). Let f(t) = -6*t. Determine f(w(z)).\nAnswer: 6*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, 4, 6, 2 in descending order.\nAnswer: 23, 6, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 503774 <= 503770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-2))\/((-68)\/(-102)). Let i(k) = -k**3 + 2*k**2 + 2*k + 7. Calculate the lowest common multiple of 4 and i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2\/3 - 1083956*u + 6503720\/3 = 0.\nAnswer: 2, 812965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 242021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 945*f**2*p + 36*f**2 + 2*f*p + 3*f + 11592020*p - 2 wrt f?\nAnswer: 1890*f*p + 72*f + 2*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-750))\/(2\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111 (base 3) in base 13?\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - -4 - -2 - -7. Suppose 0*v - r = -v. Calculate the highest common divisor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**2*n**2*y + 6774721*i**2*n*y + 31*i**2*n + 2*i**2 + 12*i*n**2 - 1971*i*n - 2*i + 2*n with respect to y.\nAnswer: -4*i**2*n**2 + 6774721*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*z - u + 20, -4*u = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2. What is the derivative of -4 + l + 2*u**2 - 3 + 3 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150211 (base 11) in base 9?\nAnswer: -3686727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffd when three letters picked without replacement from {f: 7, d: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20900?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24864.3 * 1.4.\nAnswer: -34810.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 11. Let g = 398 + -402. Let l be g\/16 + 1 - 1\/2. Which is the second biggest value? (a) o (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -24.45046.\nAnswer: -9.780184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2453 is divided by 613.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b450 - -39?\nAnswer: 2b489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u + 5\/6*u**3 + 1\/24*u**4 + 0 - u**2. Let w(z) = z**3 - 12*z**2 + 27*z. Let a be w(9). Determine d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001000100001001 (base 2) in base 10?\nAnswer: 626953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.50125215 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*z + 138 + 9 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 47477 (b) 12.74 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 11*l - 9. Let y be w(10). Let m = -1 - 1. Is y\/m*(-2 - 28) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/4 (c) -2566 (d) -44\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 708*a**3 + 716*a**2 + 18*a + 5. What is v(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011101011101110101 (base 2) in base 11?\nAnswer: 1931124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701869604?\nAnswer: 2, 101, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -119. Let r be 1*29 - (10 + -8). Suppose 7 = 2*i - r. What is the remainder when c is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -13*f + 43 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:43 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118.9 - 119. Let w = -388\/1309 - -2\/187. Suppose -l = l + 8. Which is the closest to o? (a) 2 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3223 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 13*n + 8. Let b be i(-8). What is the greatest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.008, -2, 0.116?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -579.\nAnswer: 2\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63116 is divided by 4205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.05 + -5607.8\nAnswer: -5608.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 13490?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967296183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 21. What are the prime factors of j(14)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115297391.\nAnswer: 11, 281, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 15 - 1. Find the third derivative of -4*y + y**2 + 7*y**2 + t*y + 17*y**4 wrt y.\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 29, 48, 75, 110, 153, 204?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 558 and 24?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2639 - -2642. Which is the nearest to -3? (a) 0.3 (b) 5 (c) n (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 8) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 15 = -3*m. Suppose -29 = -m*q + 5*q - 5*r, -3*r = -2*q - 19. Is -2 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(12*u**2 + 250 + 271 - 557).\nAnswer: -12*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, c: 2}. What is prob of picking 2 p?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -280186\/876589 + 348\/1291. What is the common denominator of 65\/21 and g?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1383902 divided by 3434.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6. What is the third biggest value in p, -5, 1.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5010 - 140331\/28. Let y = 187\/364 + j. Let s = -6466\/7 + 63827\/70. What is the common denominator of y and s?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38028 - 26999. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 + 0.87. Sort r, 2\/7, -5 in increasing order.\nAnswer: -5, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 10*y - 4. Let i be u(-11). Suppose 3*d = i*d - 24. Suppose 6*o - d = -0*o. What is the lowest common multiple of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 166659, 333298, 499913, 666504, 833071, 999614, 1166133?\n\"Answer: -12*j**2 + 166675*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11360 and 139\/1120.\nAnswer: 79520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 33\/13 (b) -79 (c) -0.1 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 u when four letters picked without replacement from uuuuhhhhdhdhu.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*c - 73 - 30 = 0, -5*v - 2*c + 461 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 2*f**2 + 2916 - 2913 + 3*f**3 - f in the form o*f + j*f**3 + s*f**2 + w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/4 + 3*t**3 + 4*t**2 + 313*t. Suppose -14 = -0*o + 2*o. Let w be h(o). What is the highest common factor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {c: 3, s: 6, v: 2, t: 2, g: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*35\/(-40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35611296 a multiple of 1576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**2 - 7*d + 2. Let j(n) = -2*n + 12. Let s be j(7). Let q be (-320)\/56 - s\/(-7). What is l(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3215*h = 1075*h - 29767 - 472163 for h.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36722 = 12*o - 11530. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49322 + 84522. Let w be ((-4)\/8)\/((-2)\/s). What is w rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 18\/(-3) - (-62)\/2. Let c be h\/8 - (-1)\/8. Solve 0*b = c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213036*i + 64 = -213052*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 108, -1\/1341, -0.6?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Let n(p) = -5*p. Let u(z) = 7*k(z) + 4*n(z). Let s(y) be the first derivative of 2*y**2 - 1. What is u(s(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8586710 is divided by 462.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = -5*a - 150, 9 = -3*a. Let f(z) = -45 + u + 5*z**2. Let p(i) = -4*i**2. Calculate f(p(w)).\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*k + 4. Let j = 3 + k. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204000 (base 5) in base 16?\nAnswer: 5767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/1029)\/((-42)\/(-392))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by 7?\nAnswer: -274\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1733*t - 1687*t. Solve t = -34*p + 46*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6938039 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 18, -6, -50, -120, -222?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8d (base 14) in base 4?\nAnswer: -212231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3178*r + 139796. Determine i(-44).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38\/6 - (-80 - 5733\/(-189))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102152671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20774*f + 50013 wrt f?\nAnswer: 20774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*r - 15, m + 3*m + r + 27 = 0. What is the lowest common multiple of (-5)\/1*m\/15 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3355)\/(-7381)*(-27)\/3.\nAnswer: -45\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/408177 and -34\/2541.\nAnswer: 4489947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3566 + 4125. Suppose 783*b = 784*b - p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001873293 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -76, -81, -86?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-114)\/(-950)*180\/(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 655 + -654. Let l = -2.91 - 0.09. Put -0.5, 0.3, l, d in increasing order.\nAnswer: l, -0.5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 + 2*m**2 + 2*m + 3. Let q be u(3). Let i = -96 - q. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - -376*(-8)\/(-56). Does 54 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 223.5?\nAnswer: -670.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*y + 15*y - 12*y**4)*(4 + 5 - 48) - 47*y**4 - 23*y**4 - 25*y**4 as b*y**2 + h*y**4 + f*y + s + q*y**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - (sqrt(1377) + -2*sqrt(1377) - sqrt(17))**2)*2.\nAnswer: -10200 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -76. What is the closest to h in -4, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 - 1253644*s - 196452909842 = 0 for s.\nAnswer: -313411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p. Let j be g(-5). Suppose 5*h + j = 3*h. Let l(v) = -2*v - 12. Let i(t) = -1. Let o(y) = -5*i(y) + l(y). What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 3, t: 3, g: 1, f: 1, a: 5}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46285 + 0.03715. What is the fourth smallest value in -1\/6, -0.1, r, -2, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(238)\/(sqrt(42)\/sqrt(6)) - (2*sqrt(544) - sqrt(34)))\/((sqrt(60)\/(1*sqrt(10)))\/(sqrt(30)\/(sqrt(40)\/sqrt(4)))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose 0 = t + t + q. Let v be ((-3)\/t)\/(1\/10). What is the highest common factor of v and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*s = -470, -2*z - 4*s - 246 + 734 = 0. What is the highest common factor of z and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2700 divided by -9.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 92*k + 56. Let p(h) = -4*h**2 - 182*h + 111. Let g(d) = -3*p(d) + 5*q(d). Find the first derivative of g(v) wrt v.\nAnswer: 4*v + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**4)*o\/((o**11*o)\/o))\/((o\/(o*(o\/(o*o*o**(1\/3)*o*o))\/o*o)*o)\/(((o\/(o*o**(4\/5)))\/o)\/o)) assuming o is positive.\nAnswer: o**(-212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 18638?\nAnswer: -18641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 + 2 - 2 - 6*t**2 + 4*t**3 + 10*t - 5. Let z be n(4). Solve q - 21 = 6*q + z*w, 0 = 4*q + 3*w + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35*(8 - (7 + -4)). Let y = -75 + w. Suppose 0 = 4*v + 3*p - 148, -y = -2*v - 0*p + 5*p. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + 1. Let m be i(0). Let q(h) = -2 + 0 - 3 + h. Let y be q(6). Do m and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*i + 35. Suppose -9*v + 14*v = 10, 0 = y - i*v - 7. What is the smallest common multiple of y and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 - 1617151?\nAnswer: -1617071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 26 = -11*s + 15*s, -3*s = -5*b + 5. Let n(t) = 6*t**2 + 5*t + 5. Let x(h) = 7*h**2 + 6*h + 6. Let z = -10 - -16. Calculate s*x(y) + z*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.1 (b) -12905 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.8 (c) -407\/4 (d) -2.4 (e) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 72 = 0. Calculate the least common multiple of d and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q = 3*j - 8, 0 = 4*j - 4. Suppose 0 = 2*w + f - 1, -3*w = -6*w - 3*f. Let v = w + 3. Sort q, -4, v in increasing order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -n + 6, n + 3*x - 6 = -2*x. Suppose -6*d + 5*s = -2*d - 13, -n = -4*d - 2*s. Factor -2\/11*f**3 + 2\/11*f - 2\/11 + 2\/11*f**d.\nAnswer: -2*(f - 1)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 = 0, 3*k - k + 2*l + 16 = 0. Let a(m) = 89*m**2 - 15*m + 59. Let w(o) = -133*o**2 + 22*o - 85. Let j(s) = -7*a(s) - 5*w(s). Is j(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-6 + sqrt(5))**2 + 4 - (sqrt(500) - sqrt(500)*1*-6).\nAnswer: -70*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/20)\/((-18)\/232728 - 0). Let h = 646 + n. Calculate the common denominator of -28\/3 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/4 - 2*y**2. Let i = 39 - 27. What is the smallest common multiple of r(1) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*y - 94, -2*y - 162 = -3*s - s. Let a = s + 251. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7649541966.\nAnswer: 2, 3, 11, 571, 202981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81948 divided by 3.\nAnswer: 27316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60123, -60124, -60125, -60126, -60127, -60128?\nAnswer: -60129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11263609 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {n: 3, f: 3, z: 1, g: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 60\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34\/7 - -89\/14. Let g = 1.68 + -18.88. Let x = 16.2 + g. Sort x, f, 0.1.\nAnswer: x, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + d - 4 - 27 = 0, 3*u + 4*d - 5 = 0. Suppose -13 = -3*w + 2*w. Let i(z) = -w + 14 - 4*z + u*z - z**3 - 4*z**2. Calculate i(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383273746 plus -2.35995?\nAnswer: -383273748.35995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 28. Suppose -4*m = -4*u - q, 4*u = -0*m + 5*m - 30. What is the highest common divisor of m and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:35 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 953, 1903, 2851, 3797, 4741?\n\"Answer: -k**2 + 953*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 979776, 3919122, 8818040, 15676536, 24494616, 35272286, 48009552, 62706420?\nAnswer: 79362896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.5 (c) -0.4 (d) 9123.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 60*f - 398. Determine u(10).\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338 by -1178.\nAnswer: -169\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9\/4, -40, -5\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 2*g + 6, 0 = -3*b - 0*g - 2*g - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*h - 253*h**2 + 30*h**2 - 212767 + 212733 wrt h.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 207+-576\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.14641 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -148\/7 (c) -2\/7 (d) -5 (e) -3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4))\/3*48\/180.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 23*d - 6. Let i be w(5). Let g = 84 - i. Suppose t = 4*l - 6 - 3, -t - 1 = g. Solve -l*a + 3 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*-2*sqrt(2816))\/(1*(sqrt(484) - (sqrt(484) + (sqrt(484) - sqrt(484)*4)))) + 0.\nAnswer: -48*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -18. Suppose o = -s*o. Solve 4*i + 4*r = o, r = -i + 6*r + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -268 in -0.5, 2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 36 = -10*n. List the prime factors of 2\/n - 512\/(-96).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -430440, 4.\nAnswer: -430440, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from kkpp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2850181, 5700348, 8550517, 11400688, 14250861, 17101036?\n\"Answer: y**2 + 2850164*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1076 and 11556778?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 0.39. Let g(i) = i + 3. Let u be g(-3). Let j be u - 18\/8 - -2. What is the nearest to -1 in j, b, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1391, -1373, -1353, -1331?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j = -z + 49*j + 232, z - j = 236. What is the greatest common factor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 98*r**2 - r + 4. Let s(z) = 3*z**2 + 2*z - 1. Calculate -i(w) - s(w).\nAnswer: -101*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 21.54\nAnswer: -667.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/60 - j**4\/6 + 2*j**3\/3 - 3*j**2. Let h be s(3). Is 1\/3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**4 - 4 - 2*w**4 - 5*w**4 + 5*w**2 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 1274 + 1224 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-561)\/21 - (-2)\/(-7). Does 3 divide 1 + 2 + 60 + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 29*w + 117. Let i be s(-36). Let v = -120 - i. Are 111\/7 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*n + 3 = -n, -4*n + 23 = -f. Let q(a) = -a**3 - 7*a**2 - a - 6. Let o be q(f). Let c = o - -8. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Suppose -4*n - 27 = 9. Let l = n - -13. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26468 - -26468.1. What is the second smallest value in -1\/5, k, -1\/83, -60?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + r**3 - 5*r**3)*(-26 + 26 - 25*r)*(6*r - 4*r - 4*r).\nAnswer: -200*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p + 167 = -162 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12476, 24952, 37428, 49904?\nAnswer: 62380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = o + 5 - 23, -5*o - 4*d + 42 = 0. Let z(s) = 53*s + 17. Is z(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -0*z. Suppose -2*y + 85 = z*y. Let v = y - 12. Solve v + 3 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6710.698ms to microseconds.\nAnswer: 6710698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/((-5)\/4))\/(-2). Let l be (2\/4)\/(o\/4) - -1. Suppose -5*g + 14 = -2*w, 4*g = -3*w + 5*w + 10. Solve l = -v - g - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97083 less than -0.2?\nAnswer: -97083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 983*w = 988*w - 15, 3*d + 16 = -w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + c + 1)*(-c**2 + 4*c**2 - c**2) + 2*c**3 - 3*c + 3*c.\nAnswer: -4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h - 69. Calculate g(-14).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**2 - 277716*s + 1944208 = 0.\nAnswer: -69436, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -970, -1362, -1754?\n\"Answer: -392*c - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 59 + 0*z + 91 + 0*z - 20*z**2.\nAnswer: -20*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2779\/11 + 253. What is the nearest to 0 in -0.5, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 6*z - 8. Give h(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - x + x)*(2*x - x - 2*x)*(10*x + 4*x + 3*x) in the form i*x**4 + s*x + a*x**3 + w*x**2 + m and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 + 7*q**3 - 14*q**2 + 8*q = 0?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwxw when four letters picked without replacement from exedweewexwweexxxwe.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -75 (c) 0.5 (d) -4 (e) -0.5 (f) 86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -1 + 11. Suppose 0 = r*g - 11 - 1. Let k be g\/21*1*7. Solve k*s - 20 = -5*p, -3*s = -2*p - 0*s + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/10 - 1933*w\/5 + 23268\/5.\nAnswer: -(w - 12)*(w + 3878)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209034, -418116, -627198, -836280?\n\"Answer: -209082*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - c + 12, -3*c = -6. Let g(a) = -25*a - 8. Let n(l) = -8*l - 3. Let r(f) = k*n(f) + 3*g(f). What is the remainder when r(-2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.8 + 7. Let s = q - 53.6. Let o = -23 - -157\/7. Which is the closest to s? (a) -3 (b) 2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13671 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -632242 + 632243. Let t = 2.29 + -0.04. Sort -0.2, f, 0.5, t in decreasing order.\nAnswer: t, f, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 65692.6255176\nAnswer: -65700.6255176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100 + 10011011101?\nAnswer: 1101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from {x: 2, u: 1, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 283*z**4\/6 - z**3\/3 - 2*z. Suppose -3*f - 3*b = 21, 5 - 34 = 3*f + 5*b. Let q be l(f). Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 21 = 16*h - 3*q, -3*q = -18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-81274)\/4*(2 - 36\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 13) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*m - 1800, 5*m - 4121 - 319 = -5*x. List the prime factors of x.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*z**4\/2 + 29225*z**3\/2 - 1209449*z**2 + 928592*z + 266240 = 0. What is z?\nAnswer: -3328, -2\/9, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = -2*s, -7*s = -3*s - 2*w + 26. Let u = -1.54 + 1.07. Let c = 0.17 + u. Put c, s, 2 in decreasing order.\nAnswer: 2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.266 and -4.\nAnswer: 10.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 27*c + 330. Give v(34).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1374c (base 15) to base 10\nAnswer: 62397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 3?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 8*z - 12. Is 15 a factor of (1\/z)\/((-3)\/(-675))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 0*r + 5*r + 5*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207296, 413906, 620516?\nAnswer: 827126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16946, -16942, -16936, -16928, -16918, -16906?\nAnswer: -16892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34848905\/16 or -2178056?\nAnswer: -34848905\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120920.\nAnswer: 2, 5, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*i - 2, -3*u = -2*i + 72. Suppose 0 = -4*m - 3*o + 138, 3*m + o - 104 = -o. Let r = m + u. What is the least common multiple of 12 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 875421 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k + 3. Let b(q) = q - 4. Let c be b(4). Let p be c - (1 + 3 + -2). Calculate x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let w(v) = 2*v + 0*v + 1 + g. Let q(k) = -2*k - 2. Let x be (1 - 0)\/((-3)\/(-18)). Determine x*w(s) + 5*q(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:17 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*q + 17 = 0, m + 28*q - 31*q = -1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2761 + 1382 + 1379 - 581*s**2 to z*s + r + o*s**2 and give o.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((1*sqrt(768) + sqrt(768))*5 + sqrt(768) - (sqrt(768) + 0)*-6))*-6)**2*-3 + -2.\nAnswer: -23972546 - 235008*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 13) to base 8\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:13 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwf when three letters picked without replacement from {p: 1, r: 5, k: 7, d: 3, f: 2, w: 2}?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/6 (c) -16\/2105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 4 in descending order.\nAnswer: 5, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 30. Let y(b) = b**3 - 6*b**2 - 14*b - 23. Calculate y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, 3, 38, -5, -100.\nAnswer: -100, -23, -5, 0, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*j - 4*f + 77, -2*j + 2*f + 64 = 0. Let u be ((-1)\/21)\/(8\/j). Let d = u + 62\/105. Which is the closest to d? (a) 0 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34515590, -69031179, -103546768?\nAnswer: -138062357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -66945*i - 602442. Calculate s(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -12, -1, -384, -5 in descending order.\nAnswer: 4, 3, -1, -5, -12, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:36 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2006724 and 36636?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/9))\/b**(6\/13)*((b*((b\/b**0)\/b)\/b*b)\/b*b)\/b*b**(-2\/13) assuming b is positive.\nAnswer: b**(71\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 5*i + 4, 3*h = -h - 4*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b086d - 2?\nAnswer: b086b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260561 is divided by 21554?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - b**3 + 4*b**3)*(-5*b + 4*b + 2*b) - b**4 + 3*b**3 - 3*b**3 + 0*b**2 + 0*b**2 + b**4 - 6*b**4 + 17*b**4 + 8*b**4.\nAnswer: 21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2705148938*m**2 + 2705148942*m**2 - 7*m + 3*m.\nAnswer: 4*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 28.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 4. Let b(i) = -3. Suppose 2*d = -2*d - 8. Let k be 1\/(-4) - 27\/(-12). Let q(f) = 2*f**2 - 2*f - 1. Let u be q(k). Give d*v(p) + u*b(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 106317 (base 16) to base 3\nAnswer: 2000120011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (1 + (-1 - -2)). Let v(g) be the first derivative of g**2\/2 + 9*g - 7. Let z be v(-9). Put n, -4, z in ascending order.\nAnswer: n, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -0*c + 5*c. Let u = 35 - c. Are -31 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -24 (c) 1.682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 2*s + 21 + 4*s.\nAnswer: 3*s + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/33 and 5\/20*172\/(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -331\/24 - -113\/8. Let z = -2.217 - -0.217. What is the biggest value in -0.2, z, 0.01, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4967 and 130?\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 19*m**2 + 5*m + 5. Let i(z) = -10*z**2 - 2*z - 2. Calculate 5*i(b) + 2*t(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 - j**5\/15 + j**4\/12 - 5*j**3\/6 + j**2. Let o be k(4). Let c = -15 + 15. Solve c*b + o = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in -8, 2, 3\/2, -2, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -12, 2*a - 4*a = -4*y + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjjccccccjccj. What is prob of picking 2 j and 1 c?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341190746 by -3.\nAnswer: 341190746\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 246*x**3 - 2008*x**2 + 5016*x = 0. Calculate x.\nAnswer: -114, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 16 = 16*j. Suppose 2*o - j*b = 86, -b = 6*o - 3*o - 117. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219672*i**3*t**2 + i**3*t + 139*i**2*t**4 - i**2*t + 268*i**2 + 48*i*t - 524*i wrt t?\nAnswer: -439344*i**3 + 1668*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17136280 and 1296.4.\nAnswer: 17137576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1880*d - 2. Let q(a) = -a**2. What is f(q(l))?\nAnswer: -1880*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n + 1. Let t be x(1). What is the third derivative of 14*i**5 + 2*i**2 - 19*i**5 + t*i**5 wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -12. Let t(s) = -s + 14. Let i be t(m). What is the highest common divisor of i and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -45. Let y be 12\/15 + k\/((-30)\/(-5733)). Let j = y - 272. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 22, -6, -2 in decreasing order.\nAnswer: 22, -0.5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179133217.\nAnswer: 179133217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*a + 0*a = 20, -4*a - 29 = -3*o. Find w such that 4*w**2 - 6*w**2 - 15 + o*w**2 - 10*w = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34632 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2208 = 159*b + 113*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - -293?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*o + 1018054, n - 1309*o + 1018094 = -1312*o. What is n rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4103223 (base 5) to base 11\nAnswer: -456a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 3, o: 1, u: 5}. What is prob of picking 2 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*q**2 - q**2 - 9*q**2 + (-1 + 1 - 2*q)*(-4*q + q + q) - 2*q**2 + 4*q**2 + q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7*k + 20. Let h be (9\/(-3))\/(3\/k). Solve -h*u + 4 = -8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -85 + 63\/20*s**5 - 9\/4*s**3 + 9\/16*s**6 - 231\/32*s**4 - 9*s + 51\/4*s**2. Determine q so that a(q) = 0.\nAnswer: -6, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.4631 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11103 = -4*z + 7*i, -2*i = -2. Does 55 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4365839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b + 1 + 4 + 7*b**2 - 6*b**2 - 11*b. Let z be m(-2). Let c(w) = -558*w**3 - 2*w**2 - w. Is c(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-22)*52\/(-78). Find i such that 2\/11 - 2\/11*i**3 + o*i - 2\/11*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8518026403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2533605 (base 7) to base 10\nAnswer: -327864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - (-724)\/(-40)*(-5)\/(-10)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqk when three letters picked without replacement from qsvqsksqqfqqvqsk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214*i - 1 + 1.\nAnswer: -1214*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + t - 9*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/4 - 13545*v**2\/4 - 50854*v + 54240 = 0.\nAnswer: -16, 1, 13560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 3*i - h + 23 = 0, 6 = -3*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Let r(y) = 7*y. Let g(z) = z**3 - z**2 + 2*z + 1. Let h be g(0). Let p(x) = h*r(x) + 5*a(x). Differentiate p(w) with respect to w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 1. Let s be o(2). Let t be 2*(-5 + 1)*509\/(-2036). Suppose -2 + s*m**t + 3\/2*m - 5\/2*m**3 = 0. What is m?\nAnswer: -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 - 485*m**2 + 13275*m - 70875 = 0. Calculate m.\nAnswer: 7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*1)\/sqrt(12) + sqrt(25) + sqrt(25))\/sqrt(5).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 6067*u**4\/4 + 1321*u**2 + 6338. What is the second derivative of f(y) wrt y?\nAnswer: 36402*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.614848 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 m when three letters picked without replacement from {y: 2, w: 4, m: 1, l: 1, k: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45019 (base 13) to base 7.\nAnswer: 1031110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.47134 rounded to one decimal place?\nAnswer: 64.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-2)*(-10)\/25. Suppose k*l - 4*l - 2 = -h, h = 5*l - 12. Suppose -6*o = -o, -3*r - 4*o = 0. Solve -g = r, -5*g - 8 = -l*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943515 divided by 62901.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/4967 - -4955\/19868. What is m in 1\/2*m**3 - 1\/4*m + 1\/2*m**2 - 1\/4 - 1\/4*m**5 - v*m**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 (base 10) in base 4?\nAnswer: -30231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 264860?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019286 to five dps.\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q - 8*q - 13*q - 8*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/7, -0.09, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 32 - 4*h**3 + (0 + 0 + h)*(18*h**2 + 12*h**2 + 8*h**2).\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-5)*a*a**(1\/53) assuming a is positive.\nAnswer: a**(372\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 227 + 150 + 14)*(-169*c - 3 + 1 + 191*c).\nAnswer: 7964*c - 724","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:49 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 bigger than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/85 + (-2)\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2400165 and 819720.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4 (b) 14 (c) 49734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*g)*(-13*g**3 - 4*g**3 + g**3).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4017792, 4017785, 4017774, 4017759, 4017740?\n\"Answer: -2*h**2 - h + 4017795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/8*-6*((-6825)\/(-189))\/(-25)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -983 divided by 1\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4 - 61*b**3 - b**2 - 492?\nAnswer: -72*b - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i**3 - 1\/8*i**4 + 28*i**2 + 0 + 1\/20*i**5 + 0*i. Let r(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 898884 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10752235 is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/13)\/(-1 + 3). Which is the fourth smallest value? (a) 3\/4 (b) 1\/4 (c) w (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 253*b**2 - 74*b + 28. Let q(v) = -254*v**2 + 75*v - 21. Let t(x) = -3*m(x) - 4*q(x). What is the second derivative of t(l) wrt l?\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59660*f**5\/7 - 198684*f**4\/7 + 238092*f**3\/7 - 118772*f**2\/7 + 19704*f\/7 = 0.\nAnswer: 0, 4926\/14915, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 9 = -79 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70645 = 1420*x + 3905 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 48*n + 36, -5*s = -67*n + 70*n - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 5, p: 1, f: 1, b: 5, d: 1}. Give prob of sequence zdbp.\nAnswer: 5\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.1036 * -4.\nAnswer: 264.4144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*a - 9*a**4 + 6*a**2 + 65*a - 3*a**3 + 2*a**3 to o + x*a**2 + z*a + i*a**4 + v*a**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/((-1)\/2). Suppose l = 3*f - z*l - 10, 4*f = -3*l + 55. Calculate the least common multiple of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from qxxxxquxuxxqquu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gvgvgvvggvvgg?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y + 4*g, 4*g - 9 = -0*y + y. Does 7 divide (y - (-57)\/3)*(-3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 4. Suppose 2*h - 180 = -4*g, 4*h + 174 - 474 = 4*g. Calculate the highest common factor of d and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.09276\nAnswer: -0.009276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:40 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let a be o\/(-3) + 196\/6. Suppose 0 = -5*c + 12 + a. Calculate the greatest common factor of c and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 10*x**2 - x + 9. Let m be l(7). Suppose 7*t = 131 + m. What is the remainder when t is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*s - 1, s + 19 = 5*b. Calculate the remainder when ((-45)\/(-20) - 2)*b - -161 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 16. Calculate the remainder when 12 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, u: 3, h: 2}. What is prob of picking 1 y and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 + v + 3. Let b(n) be the second derivative of -n**5\/20 + 3*n**4\/4 + n**3\/3 + 5*n**2\/2 + n. Let a(p) = -4*b(p) + 7*h(p). Give a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216 is divided by 69.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 53\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 2*(2*(-4 + sqrt(567)))**2).\nAnswer: -2304*sqrt(7) + 18664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 16*j**4\/13 - 1940*j**3\/13 + 2402*j**2\/13 - 238*j\/13 - 240\/13 = 0?\nAnswer: -1\/4, 1\/2, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110101110010?\nAnswer: -110101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4094 and 2848.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccpclllplclll. Give prob of sequence llpl.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/72 and 55\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -12567693\nAnswer: -150812316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 4461.\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 286, 36.\nAnswer: -1, 36, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1552241 (base 7) in base 11?\nAnswer: -137182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624498910 rounded to the nearest one million?\nAnswer: 5624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 66\/(-22)*(284\/36 - 4)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 1, s: 5, z: 7, x: 1}. Give prob of sequence ozd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10107 is divided by 3364?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1 + 22 - (1 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let u(z) = 53*z - 4. Calculate u(r(p)).\nAnswer: 53*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*r - 11*r - 42 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1870 and 1003255.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 825, 1009, 1323, 1773, 2365, 3105, 3999?\nAnswer: 5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20751 - 20747. Which is the fourth smallest value? (a) -47 (b) 1.9 (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {n: 8, l: 3, f: 1, q: 3, u: 3, k: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-eight fifths of a gram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/7 + 2990*f\/7 + 610488\/7 = 0.\nAnswer: -1251, -244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7287171ng to tonnes.\nAnswer: 0.0000000000000007287171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/7)\/a*a**10*(a\/a**(-8)*a)\/a**(-3\/4) assuming a is positive.\nAnswer: a**(557\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -824.304 - -824. Let k = 187.696 - m. Which is the biggest value? (a) -2\/7 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + p + 4*p - 105, 5*z = -4*p + 105 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101156 by 76.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 8*k - 2. Let p be t(-7). What is the first derivative of -2*a**4 - p*a**4 - 1 + 2 + a**4 wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3.8.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759 and 4539945597.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**4 + 76*k**3 - 2035*k - 2576810?\nAnswer: 16*k**3 + 228*k**2 - 2035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12187782 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xffxxfxfxfffff. Give prob of sequence xxxf.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57858 is divided by 1345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 4. Suppose 34 = 3*i + i - 2*n, 0 = 4*i + n - 25. Suppose 0 = 5*a - 4*f + 40, -2*a = 5*f - 17. Let s = i + a. What is r(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -26. Let w = x + 19. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46555435, 46555422, 46555409, 46555396, 46555383?\nAnswer: 46555370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15106, 15085, 15064, 15043?\nAnswer: 15022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 467*q**3\/6 + 41*q**2\/2 - 124*q. Is o(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170711\/684 - 2246\/9. Calculate the common denominator of f and 31\/216.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 68*o**3 - 5*o + 7 + 138*o**3 - 63*o**3 + 4 in the form n*o + d*o**2 + y + b*o**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 32*u**2 + 604*u. Is r(7) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3978.1, 0, 0.3, 0.5, 2\/1239?\nAnswer: 2\/1239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4, 44.9, -0.1 in descending order.\nAnswer: 44.9, 4, 3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/21)\/(-2 + (-5)\/(-3)). Is (4 - n) + (-7 - -741) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + w + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0305199916 to 4 dps.\nAnswer: -0.0305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239065 take away -192209?\nAnswer: 5431274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16.52442ml?\nAnswer: 0.01652442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 348037733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 8*g + 0*g + (-3 + 2 + 3)*(2*g + 4 - 4) + 4*g - 3*g + 0*g)*(-1 + 40*g - g**2 - 14*g - 5*g) to u*g**3 + q*g**2 + w + a*g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, -4, -6, 2, 26, 72?\n\"Answer: z**3 - 4*z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j + 414. List the prime factors of t(12).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 383 - 37. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y. Let k(d) = 171*d**2 - 6*d. Determine -k(v) + 6*p(v).\nAnswer: -177*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 6. Let c be ((-18)\/(-3))\/z - -13. Suppose -c*m = -13*m - 66. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1965600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxcy when four letters picked without replacement from {y: 4, x: 4, c: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*i - 4*i + 47*m, 14*m + 3 = -5*i + 5*i + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12902.\nAnswer: 2, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1541 + 1628.9. What is i rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {v: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 - 393 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*t**3 + 375*t**2 - 260*t - 60.\nAnswer: -5*(t - 6)*(t - 1)*(11*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8470 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.476983 years?\nAnswer: 53.723796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 3*d - 8*d. Let n be ((-6)\/9)\/((-8)\/204). Suppose 5*y - 8 - n = 0. What is the lowest common multiple of y and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Let q(v) = 6*v - 16 + 23*v**3 - v**2 - 22*v**3 + a. What are the prime factors of q(6)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -406.6424 - -407. Let b = 61.37 - 61. Let w = n - b. Round w to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 38753700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 121.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1080 - 2360*l**3 - 540 - 540.\nAnswer: -2360*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -60.9 (b) -33\/20 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)\/(z\/z**(2\/27)) assuming z is positive.\nAnswer: z**(-131\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 442021240 - 0?\nAnswer: 442021240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 414157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80*v**2*x - 7*v**2 - 166932*v*x + 5588*v - 902 wrt x.\nAnswer: -80*v**2 - 166932*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 2 = 0. Let n be (-10)\/6 - (-10)\/15. Let r be 8\/14 + n + 1. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1805, 3595, 5385, 7175, 8965, 10755?\nAnswer: 12545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55413340?\nAnswer: 2, 5, 2770667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 618 - 9184 = 0. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7172129.9 and 35787.2.\nAnswer: -7136342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*o + 26, 3*j + 9 = 3*o - 9. Find the second derivative of 63*n**o + 59*n**5 + 75*n - 135*n**5 wrt n.\nAnswer: -260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -1, 2.9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*o + 546*o**2 - 677*o**2 + 54*o as z*o + y*o**2 + g and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1034705 and -5\/1655528.\nAnswer: 8277640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 12*j + 20. Let w be p(11). Suppose 14*s - w*s - 150 = 0. Suppose 12*a - 6*a - s = 0. Solve -a*l = -5*c, -2*c + 7*c - 45 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 23*m = 515. What are the prime factors of m?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/6)\/(405\/(-486)) + (5 - 1). Let u = 2.9 + -3. Put k, -2, u in decreasing order.\nAnswer: k, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13*f**3 - 9*f + 53. Let v(x) = -6*x**3 - 4*x + 26. Let p(u) = -4*t(u) + 9*v(u). Differentiate p(o) wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135107 + 2*k - 135107.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45310 (base 7) to base 3.\nAnswer: 120201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 14*h**2 - 2*h + 1. Suppose 3*a + 3*l + 4 = -2*a, -4*l = 12. Give k(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4362900 to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g**2 - 8*g**2 + 3*g**2 + 14*g**2 to the form r*g**2 + j*g + b and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8505)\/(-18))\/(-15))\/((54\/(-12))\/3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*v + 11 = 2*v, y - 4*v = 9. Solve -z + y = 0, 2*c - 2*z + 22 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 39 + 19 = -3*u, 10 = 5*s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**2 + z. Let f be w(-2). Let v = 6 - 3. What is the greatest common divisor of v and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.2 - -6. Let q be ((-90)\/(-27))\/(16\/24). Sort 0.2, q, -0.1, o in decreasing order.\nAnswer: q, 0.2, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52 + 28*z**4 - 52 + (-8*z**2 - 7 + 7)*(-2*z**2 + 3*z**2 - 2*z**2) + 3*z**4 - 3*z**4 + z**4.\nAnswer: 37*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1484129.3 take away -16?\nAnswer: -1484113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 578 and 13115976.\nAnswer: 13115976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*m**2 - i*m*n**3 + 5244*i - m**2*n**3 - 86*m**2 - 2*m wrt m?\nAnswer: 6*i - 2*n**3 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*3*sqrt(228) + sqrt(228))\/(-1*sqrt(972)) + 1)**2.\nAnswer: 4*sqrt(19)\/9 + 157\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 4 + 3 + -11 + 13 + 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((1*-4)\/(21\/21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 63 + 86 = 4*r, 0 = 2*r + m - 9. Suppose -4*x = 3*u + x - 6, 3*x + 10 = r*u. Solve 2\/17*y**3 - 2\/17*y + 0*y**u + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 3. Suppose -d = -6 + 1. Let f(r) = 13*r + 13. Let p(o) = -o. Let s(c) = d*p(c) + f(c). What is -9*m(t) + 2*s(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 7*b + 339. Calculate j(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2823242285 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 4138*r + 4140.\nAnswer: -2*(r - 2070)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(612)*2)*-4)**2 + 0.\nAnswer: 1920*sqrt(17) + 39568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -143, -147, -153, -161, -171, -183?\n\"Answer: -i**2 - i - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*i - 10 + 9 = 0, 3*g - i - 19 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 54, -4, 7, 224 in ascending order.\nAnswer: -4, 1, 7, 54, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(9\/4))**(-10\/11))**(-38) assuming u is positive.\nAnswer: u**(855\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3322581 is divided by 55?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (10 - 8\/(-4)). Let r(z) = -z**2 - 16*z. Is 16 a factor of r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/352 and 101\/40000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-530 + 28*p**2 + 530)*(-305*p + 1246*p**2 - 326*p + 631*p).\nAnswer: 34888*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**4 + 16*r**3. Let b(y) = 2*y**4 + 4*y**3. Let x = 13 - 35. Let s(m) = x*b(m) + 6*u(m). Determine l so that s(l) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.41. Let v = 6.4 - 11.4. Sort v, 2\/7, w in increasing order.\nAnswer: v, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 584, 1148, 1746, 2396, 3116, 3924, 4838?\n\"Answer: 3*u**3 - u**2 + 546*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 9:27 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 3*a**2 - 2*a - 3. Let d be f(4). Suppose -d*v - 520 = -w, 3*w = -0*v - 4*v - 435. Is 18 a factor of (-1)\/(-2 - v\/53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s\/(s**(12\/5)*s*s*s))\/s*s*s**(-4)*(s*s\/((s*((s\/s**6)\/s)\/s)\/s*s)*s)\/((s\/((s\/((s**(-9)\/s)\/s))\/s))\/s) assuming s is positive.\nAnswer: s**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 1 (c) 3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424*s = 519*s + 31924 + 7896 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79, 121, 163?\n\"Answer: 42*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.3363, 5, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 6 - 21. Suppose 4*m - m = -5*j + 1853, -y*j = 4*m - 1849. Is j 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 41181019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1757*k + 507*k + 1190*k)*(0 + 4 - 5)*(1 - 1 + k**2) as z*k**2 + d + h*k + o*k**3 and give o.\nAnswer: -3454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -39.15. Let i = 0.35 - f. Let d = 6 - 5.7. Which is the closest to -1? (a) 1\/4 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let x be m(1). Let i = 7 - x. Suppose 0 = 5*u + o - 210, 3*u + i*o + 27 - 131 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(1\/6))*f)\/f)**(-27\/4)*f**(2\/3)\/(f**(-1)\/f*f*f*f))**(1\/7) assuming f is positive.\nAnswer: f**(19\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14093.1 - 14093. Let n = 13 - 13. Which is the closest to g? (a) -1\/2 (b) -1.7 (c) n (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdd when three letters picked without replacement from {d: 2, b: 1, e: 2, r: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 2*s)*((-1 + 3 - 4)*(-2 + 2 - 1) - 5 + 2 + 2 - 16 + 2 - 12).\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1. Let l(o) = o + 2. Let i(n) = -n - 2. Let f(u) = -u**2 - 6*u - 5. Let j be f(-6). Let r(c) = j*i(c) - 4*l(c). Calculate 2*a(q) + r(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u - 146 - 151 + 297.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 153681 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -40 - ((-24 - -9) + 9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/15 (c) 0 (d) -2010 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 548303 (base 10) in base 15?\nAnswer: ac6d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.543004 less than 88968?\nAnswer: 88989.543004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174233?\nAnswer: 17, 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/3 + 164*k**3\/3 + 158*k**2\/3 - 108*k = 0. What is k?\nAnswer: -81, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(7\/28). Differentiate -13*t - 10 + 25 - y*t with respect to t.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -6*g - 0*g. Let m(c) = 14*c**2 + 6*c + 12. Let y(t) = 13*t**2 + 7*t + 11. Let x(i) = g*m(i) - 6*y(i). Differentiate x(w) wrt w.\nAnswer: 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1989 and 0.1.\nAnswer: -198.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 1172 - 583. Let r = i + -95. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 236406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 45 - 13 = 4*d, -d - 2 = -l. Let y be (9 - l)\/(3 + -1). Let f be 47 + 1 - (-2 + y). What is the highest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*n - 52*n. Determine z, given that n - 2\/13*z**2 + 2\/13*z**3 - 4\/13*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueeuoaeuuoeueueueweu. Give prob of picking 1 w and 3 u.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l**4 + 6*l**3 - 143.\nAnswer: -20*l**3 + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*((-3)\/(-2) - 1). Let h = 4 + l. What is the third derivative of 2*i**2 + i**3 + 0*i + 2*i**3 + h*i wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, p: 1, u: 3, s: 3}. What is prob of sequence uz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1929, -1931, -1933, -1935?\n\"Answer: -2*x - 1927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1230 by -5.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*x**3 + 9*x**4 + 47*x**3 + (-3*x**4 + 4*x**4 - 2*x**4)*(1 - 3 + 0) - 2*x**4 + 0*x**4 + 5*x**4.\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21092 - -21092.18566. Let n = b - -0.21441. Let j = n - 0.4. Round j to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(64\/84) + (-111)\/(-222)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g - 2*k - 14 = -74*g, -4*g + 4*k = 32. Let j(u) = 5*u + 17. Let v(d) = -6*d - 16. Determine g*v(r) - 7*j(r).\nAnswer: r - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 138040?\nAnswer: 552160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.3 + -9. Which is the third biggest value? (a) -1795 (b) j (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-558)\/(-12958))\/((-216)\/(-396)).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 124020 divided by 37\nAnswer: 124020\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nee when three letters picked without replacement from edevmnvmmwmevmd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20560, 20569, 20604, 20665, 20752, 20865, 21004?\nAnswer: 21169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 45*v**2 - 99*v + 469. Let l be r(47). Calculate the greatest common factor of 169 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 550, 1868, 4430, 8650, 14942, 23720, 35398?\n\"Answer: 69*i**3 + i**2 + 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 7. Let v(d) = 2*d - 13. Let h(i) = 7*j(i) + 4*v(i). Let f be h(2). Let u(g) be the third derivative of -5*g**4\/24 + g**3\/6 - g**2. Give u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.43 + -1.57. Which is the closest to 1\/2? (a) 0 (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 15*n - 12. Let k be ((-17)\/(-2) + -10)*(-56)\/(-6). What is d(k)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + w)*(328 + 3275 + 2298 - 668)*(-3*w + w + 0*w).\nAnswer: -10466*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/3 - 6*m**3 + 31*m**2\/3 + 6*m - 32\/3 = 0.\nAnswer: -1, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7961 != 7715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450670 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 0*d + 0*d + 39 + 122.\nAnswer: 3*d + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1.02, 228, 1, -1\/5, 2\/7 in increasing order.\nAnswer: -1\/5, 0.1, 2\/7, 1, 1.02, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24))\/(3\/(-3))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -3*f**2 + 0*f**4 + 0*f - 1\/20*f**5 + 0 + 0*f**3. Let u(j) = 9*j**2. Calculate d(u(w)).\nAnswer: -243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1112041 - -131?\nAnswer: -1111410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmgmgggmnnggg. Give prob of sequence mn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 5:41 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27333136*c**3 - 2 + 2 - 12 + 0 + 27333137*c**3.\nAnswer: c**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40239.7 days in hours?\nAnswer: 965752.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/5, -4, -3\/5, -2\/5, 4 in decreasing order.\nAnswer: 4, -2\/5, -3\/5, -18\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 57*a**2 + 176*a - 3405. Give k(59).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 484 - 435. Suppose -1540 = 44*u - d*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 - 26*m + 50. Suppose 0 = 2*k - l + 11, -9 - 7 = 2*k + 4*l. Let t(w) = -w**2 - w. Let o(p) = k*t(p) + j(p). Determine s so that o(s) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from gapgaaggg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4\/9, -0.3, -28, -2\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + t = -82, 4*t + 49 + 71 = -4*a. Let b be 3\/(4 + a\/8). Factor 3*w - 3*w**2 - 6*w + 18*w**b - 19*w**4 + 2*w - 3*w**3.\nAnswer: -w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 5\/15*24. Let t = -4 - -6. Solve -2*m + 4 = -2*x - 6, 0 = -5*x + t*m - j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 318.141?\nAnswer: -1908.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1132*a - 1134*a + 2*a**3 + 2267*a + 655 in the form i*a + j*a**2 + r*a**3 + s and give s.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 20 = -2*b. Suppose 3*j - 3 = -y - b, 3*y + 3*j - 3 = 0. Solve -20 = -2*c - y*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -8.03.\nAnswer: 0.0803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 22 = 2. Let v be 8\/18*x\/4. Let g = -53 - -58. Sort 2, g, v in increasing order.\nAnswer: v, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9*(-60)\/(-2160))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2 - 0. Suppose -4 = -3*j + 2. Suppose -k + v = -j. Solve 4*h = -3*l + 21, 0 = 2*l - 2*h + k*h - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 - p**5\/15 + p**3\/3 - p**2. Let h be q(4). Suppose -h*z + 3 + 13 = 0. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 - 18 = 0. Solve -u - 1 = -m + f, -3*m + 2*u = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -14*f**3\/3 + 37*f**2 + 25*f - 2. Give a(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -h + 22. Let u(q) = -6*q + 38. Let c be u(h). What is the greatest common divisor of 77 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530.6 - 531. What is the closest to -2\/9 in -10, q, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 + 5*y - 4. Let c be p(-4). Suppose 0*v = -c*v - 31408. Let q = v + 7505. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2. Let h(m) be the first derivative of -m**5\/20 - 21*m**2\/2 - 16. Let y(g) be the second derivative of h(g). Determine y(x(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrcmxcrxxwrcx. What is prob of picking 1 w, 2 c, and 1 m?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438 - 764.31.\nAnswer: -1202.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.45, -0.2312, -1, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, -0.2312, -1, -3.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38532521233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 753*v + 79. Let i(n) = -1130*n - 125. Determine -8*g(k) - 5*i(k).\nAnswer: -374*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -b, -5*b + 3*k = -12 - 4. Factor 2296*j**b - 64 + 88*j - 2292*j**2 - 28*j.\nAnswer: 4*(j - 1)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - -101 - (-2)\/2. What is the greatest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9489045 to the nearest integer?\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 8*u = -2*i, 0 = -2*i - 6. Solve -r = 2*r - 4*y + 11, -4*r + 27 = u*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 17223*m**2 - 12 - 20 - 7.\nAnswer: 17223*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/120 - q**5\/30 + q**4\/6 + 4*q**3\/3 - 6*q**2. Factor g(l).\nAnswer: -(l - 2)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(3\/14) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 150*d + 337. Let q(r) = -1805*r - 4045. Let s(m) = 25*f(m) + 2*q(m). Differentiate s(g) with respect to g.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/70 + 6*w**4\/7 - 108*w**3\/7 - 76*w. Solve f(b) = 0 for b.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - p - 1. Suppose -36*l + 33*l + 10 = w, -w = -4*l + 4. Calculate f(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/27, 2\/9, -29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2 + 2*v - 1. Suppose -w + 0*w + 1 = 0. Let q be f(w). Let z = 3 + q. Are z and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 822511 to the nearest one hundred.\nAnswer: 822500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -421030 (base 9) in base 11?\nAnswer: -160980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 + 0)*(0*j**3 - 2*j**3 + j**3).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -53688.95 to the nearest 10.\nAnswer: -53690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118370241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -2\/7 (c) -0.4 (d) 1 (e) 0.4093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -0.4, -1\/5, -4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353720 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 87, 92, 101, 114?\n\"Answer: 2*h**2 - h + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = 218 - 8 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 11*i + 10 = -3*m, 2*m = -i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/2 (b) 4 (c) -9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v + 1024. Determine u(-13).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**7\/280 + x**4\/3 + 5*x**3\/6 + 4*x. Let p(h) be the second derivative of i(h). What is the first derivative of p(z) wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 3:42 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8599*k - 171985. Determine a(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4 - 16*v**3 + 162*v**2 - 104*v - 280 = 0.\nAnswer: -14, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1893206161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5*(-5)\/((-225)\/6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 844 + 1040*z - 896*z - 402.\nAnswer: 144*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193 is divided by 464.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18833406.\nAnswer: 2, 3, 157, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1725 = -5*c - 5*t, 0*c - 2*c - 5*t + 687 = 0. What are the prime factors of c?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3400, 6798, 10196, 13594, 16992, 20390?\n\"Answer: 3398*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -144, -181, -238?\n\"Answer: -10*f**2 + 13*f - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15797608909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h + 76. Let r be 3 - ((-4 - -2) + h). Let d = r - -91. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 136*j - 3. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104779 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 + 130. Let o be ((-2)\/(-5))\/(264\/(-165)). What is the fourth smallest value in -1\/6, o, 1\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1260 - -2675. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 18 + 3. Let l(b) = -59*b**2 - 3*b**z - 4 + 57*b**2 + 12. List the prime factors of l(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**2 - 10*k**4 + 9*k**2 - 28*k**4 - 40*k + 40*k + (-2*k**2 + 2*k**2 - k**2)*(-k - 2*k**2 + k) + 2*k**4 - 2*k + 2*k.\nAnswer: -34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436395582, 436395583, 436395584, 436395585, 436395586, 436395587?\nAnswer: 436395588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 488*f + 25446. Determine y(80).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79 and 2.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/6, -5, -0.01, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -776186.5 to the nearest 1000.\nAnswer: -776000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040 a factor of 510464633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((-98)\/28*14\/49)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q + 2. Give i(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1040, -5052, -12032, -21980, -34896, -50780?\n\"Answer: -1484*k**2 + 440*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is e30 (base 15) in base 2?\nAnswer: 110001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3661 and 8407.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.56 and -84.\nAnswer: 2315.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/160 - p**4\/32 - p**3\/12 - 16*p + 3. Factor c(a).\nAnswer: a*(a - 4)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 0*s - 9 = -5*o, 3*s = 5*o + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 1, l: 7, g: 6}. What is prob of sequence lgpf?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-50424)\/352 - -147) + 4\/(16\/(-223))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 5, -9, -39, -91?\n\"Answer: -t**3 + t**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 1, 2, -4, 7, -0.6764?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 divided by 326481?\nAnswer: -425\/326481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 74. Suppose -c = -l + 2, 6*l - l + 2*c - 24 = 0. Let m be -1*(-2 - (-4)\/l). Sort m, q, -10 in decreasing order.\nAnswer: m, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 114. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405 (base 12) to base 11.\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:27 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093198 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91392 divided by -224.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2390800 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108349241 is divided by 27087300.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/7 (b) -4 (c) 2\/7 (d) 3\/4 (e) 0.4 (f) -799 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.9 - 49.9. Let p be (-136)\/(-32) + 1\/(-4). What is the closest to -1 in p, -1\/5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4836 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + (0 - -1451))*(-186)\/(-124).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/5916 and 19\/32028.\nAnswer: 928812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -797934, -1595818, -2393702, -3191586?\n\"Answer: -797884*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - 10a8a?\nAnswer: -10a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/65? (a) -0.4 (b) 1\/12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-113)\/(-23) + -23 + 19.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g**2 + 144. Let s(x) = -5*x**2 + x + 36. Let i(b) = 2*c(b) - 9*s(b). Factor i(o).\nAnswer: (o - 12)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/8, -1, 0.7 in decreasing order.\nAnswer: 0.7, 3\/8, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1091*l + 388391. Calculate b(356).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10512 + 20?\nAnswer: 10532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let r(p) = p**3 - 5*p + p**2 + p**z - 5*p**2 - 3*p**2 - 5. Does 9 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + a - 2*a**3 - a + 2*a - 17 in the form z*a + m*a**2 + c*a**3 + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-21) - (-912)\/(-133). Suppose -5*d + 0*d - 10 = 0. Let p be 3\/g*d + 4. Solve -4*l + 4*k = -p - 11, k + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(18) - (sqrt(98) + 0))**2 + (((sqrt(18) - sqrt(90)\/sqrt(5))\/sqrt(9) + sqrt(2))**2 - (-1 + (sqrt(2) + -1)**2)).\nAnswer: -38*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -703 in descending order.\nAnswer: 0, -5, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -60015 times 0.3\nAnswer: -18004.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058050299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 51*h**2 - 322*h - 36. What is the least common multiple of a(13) and 2691?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 119*u - 5. Let w(s) = -309*s + 14. What is -8*l(o) - 3*w(o)?\nAnswer: -25*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-441354)\/119)\/((-5)\/57470). Suppose -4*z + h + q = 2989607, -5*z = -h - 49549997. Round z to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2403.884 + 2014.8526. Let l = v + 389. Round l to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**3*d**2 - c**3*d*l - 76*c**3*l - 2*c**2*d - 2*d**2*l wrt d?\nAnswer: -20*c**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(132) - 3*sqrt(132)*-5) + sqrt(132) - sqrt(132)) + sqrt(132))\/(sqrt(12) - (sqrt(12) + sqrt(432)*1 - sqrt(12)))*5 + 3).\nAnswer: -15 + 85*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-4))\/w)*w**0*(w\/w**2)\/w*w*w*w\/((w*w\/(w*w\/((w*w**(-4)\/w*w)\/w*w)))\/w)*w)\/(((w**(-1\/10)\/w*w)\/w*w**6)\/(w**(-1\/8)*w**3)) assuming w is positive.\nAnswer: w**(359\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i**2 + 3*i - 10. Let m = -166 - -161. Let f(p) = -13*p**2 - 2*p + 9. Let j(s) = m*f(s) - 4*a(s). Find the first derivative of j(x) wrt x.\nAnswer: 10*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -39, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 209 = -123. Let m = o - -94. Suppose 0 = -5*i - 3*s + 17806, -3*i = m*s - 3*s - 10674. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/7452 and -31\/667.\nAnswer: 216108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.829704 to 2 decimal places.\nAnswer: -54.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 + 325. Let o be (2*n)\/(4\/(-8)). Calculate the greatest common divisor of o and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -8. Let a be ((-4)\/(-30))\/(h\/(-140)). Let -16\/3*b + 10\/3*b**2 - a = 0. Calculate b.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 108766?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 3425742.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/6 + h**2\/2 + 104*h. Calculate z(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10926551*a**4 + a**3 + 559150886*a**2 wrt a.\nAnswer: -262237224*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204553115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 888, 2383, 4488, 7203, 10528, 14463, 19008?\n\"Answer: 305*z**2 + 580*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + ((sqrt(288) + -1 + sqrt(288))*-6)**2)*3.\nAnswer: -5148*sqrt(2) + 124524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/192*60)\/(10*5\/(-80))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, -2292, -4126, -5960, -7794, -9628?\nAnswer: -11462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s - 0*s. Suppose 2*k + 4 - 4 = s. Find a such that 1\/2*a**2 + 0*a + k = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 9*t**2 - t)*(3*t**2 - t**2 + 4*t**2).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, -1\/5, -1278\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182941708*k**6 - 1519000*k**2 + 91*k?\nAnswer: 21953004960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10587 - -3397.\nAnswer: 13984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15 = 5*f, 7*f - 10*f = 2*u + 9. Let m = 7 - 3. Suppose -m*g + 17897 - 5581 = u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16449, 16416, 16387, 16362, 16341, 16324, 16311?\nAnswer: 16302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 211*f**2 - 330*f + 3667. Give r(69).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 + y**2 - 3*y - 1. Give l(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehjhmqhmhhrhhh. Give prob of sequence hhrm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/16 + (-21113450)\/(-160) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 423503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 0.4, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1490*j - 3463*j - 138684 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 478 = 6*v - 434. Let w(y) = y**2 + 7*y - 4. Let l(j) = -j**2 - 7*j + 3. Suppose -2*p + 15 = -5*p. Let g(d) = p*w(d) - 6*l(d). Determine g(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3297*(5 - (-32)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7868066 is divided by 210?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i + 32 = -4*k, -4*i = -20. Let d(p) = p**3 + 13*p**2 - 3*p - 43. Let y be d(k). What is the nearest to 0.2 in 0.1, y, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, h: 1, e: 1, i: 4, w: 3, y: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02165 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 77958, 4, 2, -1, 5 in ascending order.\nAnswer: -5, -1, 2, 4, 5, 77958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2043.\nAnswer: -8172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24441 - 21434. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3458, 6940, 10422, 13904, 17386, 20868?\nAnswer: 24350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10614 + 6?\nAnswer: 10621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 16632836?\nAnswer: -19\/4158209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -901 - -901. Factor 0 - 2\/3*a**3 + 2\/3*a**2 + m*a.\nAnswer: -2*a**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:35 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (560\/36)\/(134\/115173)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 3}. What is prob of sequence xs?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 39, 74, 109, 144, 179?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05474 + 0.0888.\nAnswer: 0.03406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14185 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 1 - -7*8. Suppose 4*s + 5*g - 165 = 0, 0 = -s - 2*g + o - 13. Solve s = 2*r + 5*w, -5 = 4*r - 5*w - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*u - 19872 = -363*u - 1977 + 6363 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/7*6\/12. Let m(p) = -7*p**3 - p**2 - 13*p - 13. Let w be m(t). Solve 31*u - 33*u + w = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 i, and 2 m when four letters picked without replacement from eldmemideedidy?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*t + 1088 = -403. Calculate the common denominator of -39\/302 and t.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 23, -1, -3\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:01 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 - 0) - ((-14 - -19) + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.04 + -0.04. Let g = -10 + y. What is the nearest to g in -1\/2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 75*m**2 + 500*m.\nAnswer: -5*m*(m - 20)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from kkjjjjkjkkkkou?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2590 and 700?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 - 166. Suppose 15 = -3*m, 7*x = 8*x - p*m - 24. Is -4 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**27\/(l**(-7\/4)\/l*l\/l**(8\/9)) assuming l is positive.\nAnswer: l**(-3793\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*x - 114, -94 = 4*x + 3*d + 146. Let f = 60 + x. Let s(o) be the first derivative of o**3\/3 - 3*o - 3. Give s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -486*x + 488*x. Let h(c) be the third derivative of 0*c + 1\/60*c**5 - 1\/4*c**4 + 4*c**x + 0 - 1\/3*c**3. Give h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2071\/7 + -294. Let o be (-5770)\/(-4) - 3*(2 - 3). Let v = -1398 + o. Calculate the common denominator of v and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 71 + 59 = 0. Calculate the remainder when 219 + ((-6)\/8)\/(n\/80) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 8, -5*c = -3*g + 29. Suppose -g = -2*u + 3*s, 0*u - 4*u = -4*s - 12. Suppose 0*w = -u*w + 30. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88320 and 11500.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32641*0.2.\nAnswer: -6528.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**4 + 1209*v**3 - 235542*v**2 - 715044*v - 478296 = 0.\nAnswer: -546, -2, -1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*o. Let x(r) = -12*r**2 - r + 2. Let g be x(o). What are the prime factors of g\/(-26) + 12\/78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*d**2*w - 75187*d*w + 7970037*w wrt d.\nAnswer: -40*d*w - 75187*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23215918*u**3 - 1195790*u**2 + 6?\nAnswer: 139295508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(17) + 0))**2 + (2 + sqrt(153))**2 - ((sqrt(153) - sqrt(153)*-2) + sqrt(153) - sqrt(204)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: -1747 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1663*s**2 + 0*s - 1 - 32*s**2 + 0*s.\nAnswer: -1695*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a factor of 2222741520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 45. Let d(r) = -3*r**3 - 2*r**2 + 3*r + 2. Does 14 divide d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-933)\/1244)\/((-39)\/12)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.12, 0, 3\/10 in ascending order.\nAnswer: -11, 0, 0.12, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 55 = 2*d, -q = -d - 2*q + 23. What is the third derivative of 23 - 3*b**2 - 3*b**2 + 85*b**3 + b**2 - d wrt b?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-275)\/(-36) - (-142879)\/(-18436)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + h + 639 = -4*h, k - h - 627 = 0. Let p = -350 + k. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.44 + -6.5. Let w = -0.06 - g. Let v = 3.4 + -3. Which is the third biggest value? (a) -0.4 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/3*(-4980)\/415?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -32954.\nAnswer: -3\/32954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 11674593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 1, i: 3, x: 3, u: 3, f: 1}. What is prob of sequence xd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19148500.\nAnswer: 2, 5, 7, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*5\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69367 + -346831\/5. Let s = 1 - 3. What is the nearest to 0.1 in s, -0.07, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6987*a = 6976*a - 66 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45437.2 millennia to centuries.\nAnswer: 454372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from gmmmmmgmmmmm?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 210\/51 + 14\/(-119). Suppose 15 = -3*u, 0 = 2*v + 3*v - m*u - 65335. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 494493680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2, 1, -201\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -452.89 - -455. Let g = 0.11 - n. Let j = -0.9 - 0.1. Which is the closest to g? (a) -4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5\/9 - 404*i**4\/9 - 4*i**3\/9 + 404*i**2\/9 = 0. What is i?\nAnswer: -1, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 10654966019 - 10654966019.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18198 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-27)*21*(-3)\/6. Let c be u + 30\/6 + -13. Let s = -9 - -2. Is s at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-2\/7)\/(((a\/(a\/(a*a**2*a)))\/a)\/a)**(-1\/29) assuming a is positive.\nAnswer: a**(-18\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 83.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 11 + -6 + 405 + -380.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0, 22 in ascending order.\nAnswer: 0, 22, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 106290*m - 531435. Give u(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-24)*-9*2*1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {s: 2, u: 4, m: 3, i: 2, v: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - 5 - 17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqa when three letters picked without replacement from {c: 1, m: 1, i: 4, a: 4, s: 1, q: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 42*p + 180. Give h(11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t, -2*t + 18 = 5*l + 6. Suppose 3*y = -3*x + 6, -l*y + 4*x + 1 + 3 = 0. Let h(g) = -y*g + 4*g**2 - g + 2 - g**3 - 1 + 7*g. What is h(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 269480178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g + 1. Let r be u(3). Let i(k) = -k**3 + 4*k**2 - 4*k - 1. Let d be i(4). Let v = d + r. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -206, -2, 2152 in decreasing order.\nAnswer: 2152, 1, -2, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195 + 584 + 611 - 436*b**2.\nAnswer: -436*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4066278, -8132547, -12198812, -16265073, -20331330?\nAnswer: -24397583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 25. Let c = 19 - q. Let o be 75\/175 + (-11)\/(-7). Solve -o*s + 2 = -c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300\/217 - 34\/31. Factor -s*n**4 - 2\/7*n**2 + 0 + 0*n + 4\/7*n**3.\nAnswer: -2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3203+-753180\nAnswer: -756383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 15*a + 3*a + 7*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -8 (b) 5 (c) 0 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, r: 1, c: 1, y: 2, p: 2, a: 1}. Give prob of picking 2 p and 1 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(5) - -1*sqrt(15)\/sqrt(3)) + (sqrt(5) + sqrt(5) + 0 - sqrt(5)) + 5).\nAnswer: 15 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61134378 less than -0.4?\nAnswer: -61134378.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*a = 64, -16*g + 131 - 2 = 5*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 4*g**2 + 2*g - 6. Let q(v) = v**3 + 4*v**2 - v + 5. Let k(c) = 4*q(c) + 3*y(c). Determine k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 + d**2 - d + 1. Let y be f(1). Let x = 6 + y. What is the nearest to -1 in -0.2, 2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 74553771?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 37 - 5. Let w(r) = r**2 - 8*r + 4. Let j be w(b). Is 6\/j + (-525)\/(-10) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/52 and 9\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -57*i - 5. Let s(y) = 57*y + 4. Give -6*a(p) - 7*s(p).\nAnswer: -57*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3107468 and -21\/988.\nAnswer: 59041892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 4*r + 1. Give b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96439352 is divided by 16073225.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) 8 (d) 2 (e) -4 (f) -41\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256074 and 3626?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18385564.\nAnswer: 2, 233, 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 + z**4\/4 - 5*z**3\/3 - 9*z**2\/2 - 7*z + 5. Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 15. Let d(u) = 2*u + 4. Suppose -2*a = 3*a + 2*g + 28, a + 3 = -3*g. Determine a*w(k) - 22*d(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b680 + 13?\nAnswer: -b669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-486)\/(-864))\/((-6)\/(-4)*-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - v - 2. Let t be h(-1). Suppose -c + 5*z = 14 + 6, 0 = -2*c + z + 5. Sort -5, 3, c, t in descending order.\nAnswer: c, 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -11)\/(49\/133). Solve 2*b - 16*n = -g*n - 17, 3*b = 5*n + 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + o**5 + 2*o**5 - 17 + (-5*o + 3*o - 26*o)*(-4*o**4 + 0*o**4 + 3 + 3*o**4).\nAnswer: 31*o**5 - 84*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2. Let k = 9 + -7. Let m(p) = 3*p**k - p**2 - 4*p**2. Determine m(n(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -519925*k**5 + 185674*k**2 - 2*k?\nAnswer: -31195500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1496 or -1140?\nAnswer: -1496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -341 + 413. Calculate the remainder when v is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - 602*m**2 + 228*m + 1434. Calculate s(120).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8229*g + 2688 - 5384 + 2695 + (1 - 1 + 2)*(1 - 1 - 2*g) to i*g + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.6341074 - 53761.\nAnswer: -53744.3658926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1176625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 1. Let t(w) be the first derivative of -w**2\/2 - 3*w + 143. Determine t(h) - 3*z(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, t: 9}. Give prob of sequence tff.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let b(q) = 281*q**2 - 7*q. Give b(n(c)).\nAnswer: 1124*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7456 and 82016.\nAnswer: 82016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4537067 and 3181339?\nAnswer: 7703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 0*r**4 + 1\/60*r**5 - 1\/360*r**6 + 0*r - 2\/9*r**3 + 2 + r**2. Let j(s) be the second derivative of x(s). Factor j(v).\nAnswer: -(v - 2)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 312*h + 156 + 19 - 307*h - 31 wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1616 divided by 404\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-33))\/((-10)\/210)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 6) in base 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 968987773 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4803 + -5043. Is q > -1196\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 8:50 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -40*g + 6. Let d be b(5). Suppose h - 3*v - 1133 = 0, -70*h + 5*v = -75*h + 5545. Let m = d + h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 16*b**2 - 72*b - 55. What is the thousands digit of s(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -559\/6 + 82. Let j = 17617\/30 + -587. Let h = j + 1\/10. Find the common denominator of d and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1864330 + 1864330 + 8*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h - 56*h - 36*h.\nAnswer: -109*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 78. Calculate the least common multiple of f(-27) and 230.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g - 3 + 2 - 22. What is the tens digit of x(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 - -261. Let v(r) be the third derivative of 299999*r**4\/24 - r**3\/6 - r**2. Let j be v(y). What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5497 = 14*w - 20407. Calculate the remainder when w is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/66 in -369, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j**(2\/3))\/((j\/j**2)\/(j\/j**8)) assuming j is positive.\nAnswer: j**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(21)\/(sqrt(7)*-1)) + -1 + -4 + (-4*sqrt(12) - sqrt(3)) + sqrt(3).\nAnswer: -6*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 66?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3816.19945 + -3816. Let j = o - 0.2. What is j rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 9935225.\nAnswer: -2\/1987045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*m**3 + 186*m**3 - 97*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -0.36224982002182.\nAnswer: 4.63775017997818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15375 and 11476.\nAnswer: 176443500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttttttftttf. What is prob of picking 1 t and 2 f?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 10*p**3 - 7 - 7*p**3 + 0 to u*p**2 + k*p**3 + w + l*p and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 5*k - 8)*(5*k - 3*k - k) + k**2 + 2*k**2 - k**2 to the form c*k + z*k**2 + t and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -24. Let q be (4\/n)\/((-6)\/(-882)). List the prime factors of -1 + q\/6*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 14 + 35 = 0. Solve -3*h - r*q = 9, -3 = -0*h + 3*h + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 434*b**3*y**4 + 3*b**3*y - 2*b**3 - 7*b*y**4 + 9*b*y + 33*b wrt y?\nAnswer: 5208*b**3*y**2 - 84*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 12352*g**2 - 38266196*g + 760391120.\nAnswer: -(g - 6166)**2*(g - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2. Let y(z) be the third derivative of -1\/6*z**4 + 0 + 0*z + 3*z**2 + 0*z**3. Calculate y(k(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 5 + (1*sqrt(112) + sqrt(112))**2 + sqrt(112) + ((2 + sqrt(112))*4)**2.\nAnswer: 264*sqrt(7) + 2309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -1 - -1 - (-1)\/1. Suppose 0 = s*i + 4*t - 151, -4*i + 165 = -2*t - 29. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019001994 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.212041l in millilitres?\nAnswer: 5212.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796081 is divided by 198707.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 65*v**2 - 136*v - 254. What is a(-63)?\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 768*g - 105*g + 244*g + 461*g + 738*g in the form t + d*g and give d.\nAnswer: 2106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose r = 2*r. Is r greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -17. Suppose -3 = h, 2*s + m = -4*h - 4. Let f be (-15 - s) + (2 - -7). Solve g + f = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2*-3*8\/(-12). Let d(x) be the third derivative of 1\/2*x**6 + 1\/4*x**4 + 0*x - 2*x**2 + 0*x**3 - 13\/20*x**m + 0. Suppose d(b) = 0. Calculate b.\nAnswer: 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109510 is divided by 108509.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*b = 15, 2*b + 5 + 3 = 5*i. Let n(r) = -12*r + 6. Let s be n(-5). Suppose -u + 3*a = -3*u + 54, -3*a - s = -i*u. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.003 - -23.997. Let f = 24.41 - g. What is f rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -8. Let r = -8073 - -8073. Suppose c - 69 - w = r. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 70*u - 536. What is the least common multiple of 15 and c(10)?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*p - 5*p - 11, 0 = 2*h + 3*p - 29. Let r = h + -6. Which is greater: 10\/17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37831029120761 + 0.01.\nAnswer: -37831029120760.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coc when three letters picked without replacement from {c: 4, w: 4, x: 6, o: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q - 112 + 112)*(42*q - 17*q - 24*q + 79).\nAnswer: 18*q**2 + 1422*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2486\/3 + 9946\/3*y - 8\/3*y**2 = 0.\nAnswer: 1\/4, 1243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**3 - 10*s**2 - 594*s - 1832. Calculate p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*o + 7380 = -383*o. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 3*o - 1. Let v be i(8). Let n = -35 + v. Suppose -2*t - 6 = -u, n*t = u - 3*u + 36. What is the greatest common factor of u and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4306527 and 28266?\nAnswer: 60291378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 smaller than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -814\nAnswer: 5\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Determine s, given that 5*s**l - s**4 + 0*s**4 - 6*s**4 + 2*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a. Let w = 5 + a. What is the highest common divisor of w and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80359, 160728, 241097, 321466, 401835?\nAnswer: 482204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a. Suppose a = 8*i - 4*i - 28. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 28e3cb2?\nAnswer: 28e3cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0119114 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -3\/8 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -298. Do j and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j + 4*j + 3*j - j - j**2. Let w be l(3). Let z(v) = -40*v + 204. Let y be z(5). Solve 0 = -y*d - 5*u - w - 4, 4*d + 3*u = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Let f(n) = 2 + 5*n**2 + 3*n**2 - v*n**2 - 3*n. Suppose 36 = 4*m + 5*c, 6*c = 2*m + 3*c + 4. Calculate f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -123.\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*p**3 - 730*p**3 + 1273*p**3.\nAnswer: -109*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2))\/sqrt(7) - ((sqrt(2) + sqrt(2) + -1)*1)**2 - -3*(-3 + -5 + 0 + sqrt(2) + sqrt(2) + sqrt(2)).\nAnswer: -33 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91, -95, -101, -109, -119, -131?\n\"Answer: -n**2 - n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*y + 28, -2*o + 2464 = 4*y. Let f = o - 885. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 31826.2 - 27844. Round w to the nearest 10.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - u = 22, -2*u = 2*q + 11 + 1. Let t = 64 + q. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b - 1. Let y be (-4)\/14 + 48\/21. Let q(f) = 8*f**2 + 7*f - 8. Let o(z) = y*q(z) - 14*j(z). Suppose o(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 93?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)\/o*((((o**(1\/16)\/o)\/o)\/o)\/o)\/o*(o**5)**(-36) assuming o is positive.\nAnswer: o**(-3039\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hssh when four letters picked without replacement from {s: 3, h: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -61183 = -61215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -255833.2 to the nearest one hundred.\nAnswer: -255800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {s: 6, y: 8, w: 3}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10327 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4 - 6) + (-11 - 4) + 31 + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -371019, -371007, -370995, -370983, -370971?\n\"Answer: 12*l - 371031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 1 - (-1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(2 + -6) - 2. Put 0, 0.4, p in descending order.\nAnswer: 0.4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875*n - 868*n = 1981. List the prime factors of n.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18851*s**2*u**3 - 670*s**2*u + 4*s*u**3 - 78*s*u + 32*s + 28*u**3 - u**2 wrt s.\nAnswer: -37702*u**3 - 1340*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18\/5 - -404\/115. Let v = 10\/43 + 797\/86. Let q = v - 9. Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2328, -1465, -604, 255?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 8. Let a be u(14). Put a, 0, -0.5 in ascending order.\nAnswer: a, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101010010010000010110 + 10000?\nAnswer: 100101010010010000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) + (-1 - 1). Let h(b) = 4*b**3 + 30*b**2 - 6*b. Let r(t) = 2*t**3 + 16*t**2 - 3*t. Let u(v) = -6*h(v) + 11*r(v). What is the units digit of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -19. Let c = 51 + m. Let t = 403 + -402.6. Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 2}. Give prob of sequence vvc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/((sqrt(77) - sqrt(77)*-5)\/sqrt(11)))\/(6*4*sqrt(160)))**2.\nAnswer: 1\/110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjhj. Give prob of picking 1 j and 1 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 - j + 5. Let h = 22 + -6. Suppose 0*x + 4*x = h. Suppose -2*l + 2*z + x = -0*l, 0 = 5*l + 4*z + 8. Calculate s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**3 - 5*g**3 - g - 11*g**2 + 9*g**3 - 15. Let v be c(-11). Sort 4, v, -32 in descending order.\nAnswer: 4, v, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/2 - 6*j**5\/5 + 3*j**4\/4 - 5. Let o(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/10 + -23 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45659255 to the nearest integer?\nAnswer: 6757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, 2\/7, -0.5 in ascending order.\nAnswer: -3, -0.5, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -190\/33?\nAnswer: -190\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Suppose 6 = 3*g - 3. Let s(p) be the first derivative of g + 1\/2*p**2 + 0*p. Calculate a(s(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*b - 272 = 102. Let r = 10 - 8. Suppose 4*s - 4*t - 5 - 19 = 0, -r*t - 2 = 0. Sort b, s, 13, 1 in descending order.\nAnswer: 13, s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3565 is divided by 318.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:34 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -l + 17, 4*l = -60121*k + 60123*k + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - 0) + -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, -1834, 8, -6, 4 in ascending order.\nAnswer: -1834, -6, 0, 4, 8, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(121)*-3*5)\/(-5*-4*sqrt(66)\/sqrt(6)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l + 2*l)*(0*l**2 + l**2 + l**2) + 6*l**3 - l**3 - 3*l**3 in the form x*l**3 + j*l**2 + p + c*l and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z**3 - 21*z**3 + 25*z**3)*(-165 - 195 + 193).\nAnswer: 3173*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/6 - 3)*-2. Let k(t) = -t - 1. Let p be k(f). Let u = 3 - p. Calculate the remainder when 4 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 3\/4, -29, 3, 1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 41141 (base 5) to base 13\nAnswer: 12a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7498, 7499, 7500, 7501?\n\"Answer: q + 7497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 181*k**2 + 157*k + 4186. Give u(180).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -6*a - 5*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 684*u**2 - 1254*u. Let b(i) = -85*i**2 + 154*i. Let d(h) = 57*b(h) + 7*j(h). Let c(w) = 15*w**2 + 3. What is d(c(a))?\nAnswer: -12825*a**4 - 5130*a**2 - 513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1395 and 775.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 4*c + 3*c**2 - 10 + 3. What is the tens digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532010 (base 6) in base 5?\nAnswer: 10333422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1731210 and 139\/3588.\nAnswer: 3462420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 7. Suppose -5*n + 36 = -9. Let m be ((-12)\/n)\/((-3)\/k). Is m at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 2\/9, -1, -23\/12 in decreasing order.\nAnswer: 2\/9, -1, -23\/12, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17775 is divided by 2960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-51 + 87)*(-112)\/49?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51553795 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/37 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221.4 at least -1\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/2 + 4*k**2 - 639*k\/2 + 315 = 0.\nAnswer: -30, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1)*(-42 + (-4565)\/(-110)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45174 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 9, f: 1, u: 2}. Give prob of sequence jpf.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2300001 (base 6) to base 4\nAnswer: 130132201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yxyx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 + 92560*l**4 - 30*l**3 - 555400*l**2 - 740495*l - 277680 = 0.\nAnswer: -18512, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13809515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4130000 = 2*y. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83360 divided by -2605?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/(-10) - 16\/(-50) and -6 - 6\/(-18)*1659\/140?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 2, a: 7}. Give prob of sequence yx.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -250038.2 to the nearest 1000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 e, and 1 b when four letters picked without replacement from zexbebeeeexuexxu.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*42\/196*-1*84\/(-54).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 351*a**3 - 16*a + 20*a + 99*a**3.\nAnswer: -252*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 8122*s**4 - 2991994*s**3 - 1485842*s**2 + 2991990*s + 1493964 = 0.\nAnswer: -318, -1, -1\/2, 1, 2349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 242 + -240. Solve -r*x - 24 = -7*o + 3*o, -2*x - 4 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -136. Let b = u + 59. Let k be 1 - (-2 + (-9)\/(-3)). What is the nearest to k in -0.4, b, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w + 6 - 20*w + 27*w. Let v = -33 - -14. Let f = v - -27. Determine p(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 11330992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**6\/1440 + a**5\/48 + 25*a**4\/96 + 8*a**3 - 29. Let l(x) be the third derivative of v(x). Factor l(i).\nAnswer: (i + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) -37\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 3*u + 180 = 0. Suppose 0 = 2*x - 68 + 64. Suppose -3*z = x*a - 0*a - 24, 3*z + 4*a = u. Solve 0 = s + z*j - 3*j - 14, 2*s - 5*j + 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/256 and -99\/202.\nAnswer: 25856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -282.01561\nAnswer: 1410.07805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 + r + 3. Let x be b(2). Suppose x = -w + 3. Solve -2*h = w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(d*d**(-2\/61)))**5 assuming d is positive.\nAnswer: d**(-1515\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 375134761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 7*o**4\/12 - 5*o**3\/6 + 2*o**2 - 4*o. Let i(t) = t**2 - t + 1. Let r = 3 + -4. What is r*n(d) + 6*i(d)?\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04337088 from -740.\nAnswer: -739.95662912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 79.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 165194977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 2, -7, -16, -25?\n\"Answer: -9*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 510, 1579, 3592, 6849, 11650, 18295, 27084?\nAnswer: 38317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12640*q**3 + 1809*q**2?\nAnswer: 75840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 30 = -14*m. Suppose i - 18 = -3*l, -5*i + 4*l = -l + m. What is o in -1 - 42*o + 39*o + 7 - i*o**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324882.\nAnswer: 2, 13, 50957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 25*h**2 - 18*h**2 - 9*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 400540?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.243808+-4\nAnswer: -4.243808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*g - 18 = 0, -l = -2*l - 2*g - 21. Let y(c) = 6*c**2 + 11*c + 25. List the prime factors of y(l).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 74*d + 46*d = 16*k - 11*k + 395, -2*d = -4*k - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124892 is divided by 30296?\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*1*1\/(-2). Let g = -76 + 33. Let r = 44 + g. Solve -i - 12 - r = 4*f, 3*f - 4 = v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 7*y + 13. Put 0, y, -7 in decreasing order.\nAnswer: y, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let a(u) = 77*u - 7. Suppose 0 = -8*j + 13*j + 15. Let v(w) = j*i(w) + a(w). Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 11*a**4\/4 - 3*a**2\/2 + 3*a + 697. Let o(j) = 252*j**3 - 68*j + 68. Give 136*f(x) - 6*o(x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 5*n + 6*n - n - 7*n. Let l(s) = 2*s**2 - 4*s**2 + 5*s**2. Determine y(l(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 12. Suppose -5*q - r + 11 = 39, -2*q - 10 = r. Calculate i(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 1, 5 in decreasing order.\nAnswer: 7, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and -3\/3909548.\nAnswer: 11728644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4959)\/(-684))\/(4*4\/(-64)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:59 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -732.646 take away -0.2?\nAnswer: -732.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*i = -4*q + 326*i + 112109, q - 3*i - 28031 = 0. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 8515*v**3 + 565445*v**2 + 8515*v - 565440 = 0. What is v?\nAnswer: -1767, -1, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.7 - 7. Let m = 0.26 + -0.46. What is the third smallest value in w, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18967 - 18969. Let t be -1*(-2)\/(-10)*4. Which is the closest to 2\/3? (a) l (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 700.1 - 745. Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*p - 44*p - 207. What is the smallest common multiple of p and 515?\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/3 - 3*o**2\/2 + o. Let b be a(-3). Suppose 1 = 2*d + b. Is d >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 373*n**2 + 261*n**2 + 640*n**2 + 2*n**5 + 54*n**4 + 462*n**3.\nAnswer: 2*n**2*(n + 7)**2*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 2, f: 3, a: 1, c: 3}. Give prob of sequence fa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 7*r + 19 - 6*r + r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k + 3241 = 10621. What is the greatest common divisor of k and 2091?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2151929*i**2 + 2407828*i.\nAnswer: 4303858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*w - 31545 - 14547 = 0, 5*g + 3*w - 57612 = 0. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 17*q**2 + 19. Let c be y(17). Suppose o - c = -2*w + 30, -5*o = -w - 267. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -342575 and -41451528\/121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*j + j - 5*j)*(-15844 - 76441 - 10494 - 13972) to i*j + m and give i.\nAnswer: -233502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 + 809222126?\nAnswer: 809222132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*h - 12, 5*y + 4*h - 15 = 2*h. Suppose n = 2*l + 24, -y*n - 9*l + 72 = -6*l. What is the first derivative of 15 - 7*a**2 - n + 21*a**2 wrt a?\nAnswer: 28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3\/3 - 560*c**2\/3 - 2412*c - 7560 = 0?\nAnswer: -126, -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183088690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*3*16\/(-12). What is the greatest common factor of 8 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 48, 42, 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2454.3 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -54. Let d be (9\/(-36))\/(q\/(-8)). What is the units digit of d - ((-97)\/(-3))\/(3\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + k - k + (44*k - 376 + 376)*((-3 - 2*k + 3)*(-2 + 2 + 2*k**2) - k**2 - 6*k**3 + 0*k**2 + k**3) + 0*k**4 + 2*k**4 + k**4 + 2*k**4 + k**4 - k**4.\nAnswer: -392*k**4 - 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1650 and 913350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 348 + -350. Which is the third smallest value? (a) 3\/20 (b) k (c) 1\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.399 + -12.599. Which is the second biggest value? (a) 2.2 (b) 10 (c) v (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4667*j*p**2 - j*p + 730*p wrt p?\nAnswer: -9334*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-1240)\/(-60). Let o be 8\/u - (-5)\/50. Find a, given that -1 + 3\/2*a - o*a**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3116*u - 768*u**2 + 337*u**2 + 3120 + 427*u**2 = 0. What is u?\nAnswer: -1, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 + -49 - 23 - 39.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2 - 415*u + 645.\nAnswer: -5*(u + 43)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 5. Let d be 2*3\/((-12)\/(-4)). Suppose 0*f - 25 = 5*f, d*v - 5 = 3*f. What is the least common multiple of j(v) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*x + 6 = 107*x. What is the nearest to 2 in 4, 1.4, x?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 4816740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.277 + -68.823. Let l = y + 69. Which is smaller: l or 34?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*b + t - 1319, -2*t + 1322 = 4*b. Suppose -5*g - 4*y = -2*y - b, 73 = g - y. Let a = -192 - g. Round a to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23968 - 23967.309616. Let w = a - 0.69. Round w to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666202 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(19))**2 + 2 + 2 + sqrt(76)\/sqrt(4) + sqrt(19) + sqrt(19) + -5.\nAnswer: 3*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 40. Suppose 198 - 14 = -23*m. Determine f(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) - 14\/49. What is the tens digit of (w + -1)*(-26)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 37*l. Let z(f) = -f - 2. Determine h(z(g)).\nAnswer: -2*g**2 + 29*g + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let o(s) = 30*s**2 + 2*s + 1. Let d(c) = 162*c**2 + 4*c - c + 0 - 134*c**2 + 1. Let r(x) = -2*d(x) + 3*o(x). Calculate j(r(g)).\nAnswer: 68*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 5*q - 10 = 0, 21 = -z - 4*z - q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2477*y**2 - 3569*y**2 + 7900*y**2.\nAnswer: 1854*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*c + 191387 = -1347*c + 395 for c.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = q + v - 25, q - 25 = -4*v. Suppose -36 = -29*m + q*m. Suppose -12*f + 45 = -m*f. Calculate the least common multiple of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:46 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prrd when four letters picked without replacement from {r: 8, p: 4, d: 1}?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:09 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybq when three letters picked without replacement from {q: 1, y: 1, s: 3, l: 5, b: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/106 or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*m = -k + 14, 0 = -k + 3*m - 35. Let u = k + 8. Let a = u - -32. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*i + 4*c - 32, 2*i - 4 = c. Solve 0 = 4*m, v - m + 3 = -i*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2343*k + 1885*k - 10076 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.91 - -0.49. Let w = -0.42 - n. Which is the smallest value? (a) 4\/9 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -91*n - 399. Calculate f(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -59.9. Let q = 137\/369 - -3\/41. What is the nearest to n in -2\/3, q, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**5 + 401*g**3 + 21209*g**2?\nAnswer: -420*g**2 + 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -23*k**3 - 2*k**2 - k + 2. Let z be v(-2). Let m = z + -328. Does 15 divide 2\/10 - m\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = x - 4*x + 15, 5*x + 4*m - 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 1)*(0 - 1 + 0) - 3 + 4 + 3)*(-312 - 85*s**4 + 312) to i*s**3 + f*s**2 + o*s**4 + u*s + v and give o.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u**(2\/13)*u*u*u)\/u*u*((u\/(u*u**(-2\/9)))\/u)\/u*(u**1*u)**(-39))**(3\/4))**18 assuming u is positive.\nAnswer: u**(-26193\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let t = 0.261 - 0.3. Is t bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 14\/13, 2\/11, -2.9, 12, 2, 3, 2\/5?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -794 + 831. Calculate the remainder when 121 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -3.1. Let z = -0.9 - -1.4. What is the closest to 1 in f, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-1 - 0) + -3). Let f = 11 - o. What is the highest common factor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1288 = -8*m + 2192. Suppose 5*b - 4*t - m = 0, -2*t - 435 = -5*b - 4*t. Suppose b = 5*o - 2*o. Calculate the greatest common factor of 261 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8564190*p**3*u**2 + 43*p**3*u + 16*p**3 - 29*p - 3*u**4 - 2*u - 7 wrt u?\nAnswer: -17128380*p**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(684) + 1 + 3 - ((0 + sqrt(1216))**2 + sqrt(76)*5).\nAnswer: -1207 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 124 = 12. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97747.04 litres to millilitres.\nAnswer: 97747040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 = -3*b + 3*a, -3*b + 987 = 4*a + 367. Suppose -5*c - b = -17*c. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -70. Suppose -15 + x = 4*z. Let s(a) = -8*a - 3. Calculate s(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19584380696 and 9?\nAnswer: 19584380687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45232\/127215*(-15)\/20.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66977 or 66972?\nAnswer: 66977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/2 of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = 3*u, 189*j - 184*j + 25 = -5*u. What is the closest to 1\/20 in 1, -0.2, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 20*y**2 - 24*y - 36. Calculate the least common multiple of 6 and w(-21).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 32*u**2 - 2*u + 66. Let z = -118 + 150. Let q be d(z). Solve 28 = q*n + 5*c, -5*n - 3*c = c - 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sszzzsszszsszzss. Give prob of sequence zs.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6042 - 132901\/22. Let k = 182199\/22 - 8277. Calculate the common denominator of k and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16093, -19, -4 in descending order.\nAnswer: -4, -19, -16093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -598, -1582, -3356, -6166, -10258, -15878, -23272?\nAnswer: -32686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(16)\/(sqrt(24)\/sqrt(3)) - (sqrt(18) + sqrt(162))))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) + 942\/15. Let i = 7 + 14. What is the highest common divisor of i and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4662 by 2.\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-30)*(-2 + -1). Suppose 0 = l*m + m - 3*n - 72, 4*m - 91 = -n. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 33*f + 5. What is g(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.334 + 0.034. Put 0.04, 3, -2, o in decreasing order.\nAnswer: 3, 0.04, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2 - 42\/(-28). Solve -4*u = -2*u + f*n - 2, -3*n + 27 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1389 = -2*y - 3*v, -5*y + 1153 + 2308 = -4*v. Does 63 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 10*l - 14. Let v = -311 + 476. Suppose -3*x = 15, 3*x = -5*o + l*x + v. Solve -2*u = -5*r - o, 6*r - 2*r = u - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294 less than 0.2?\nAnswer: 1294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 171\/38*4\/6. List the prime factors of (90 - 2) + -1 + g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (3 - (1 - -7)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -402 not equal to -402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33334 and 12852?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 3. Let a(v) = 5*v + 13. Let o(p) = 6*a(p) + 26*d(p). Let l(x) = -2*x**2 - 25 + 25. What is o(l(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3360 and 1410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 391176 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -6, -2, 1, 4 in decreasing order.\nAnswer: 17, 4, 3, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/7)\/(302\/(-1057)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26807763.\nAnswer: 3, 8935921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 820\/45 - (-4)\/(-18). Suppose 2*z + 5*f = 2, 4*z = -0*f - 3*f + v. What is the third derivative of -27*p**4 + 6*p**4 + z*p**4 - 10*p**2 wrt p?\nAnswer: -360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38025*x**2\/4 - 4485*x + 529 = 0. What is x?\nAnswer: 46\/195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -691 (base 11) in base 7?\nAnswer: -2260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/64)\/(261\/(-18) - -13) + 1\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6027721\/72 + 83717. What is the common denominator of -139\/54 and x?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 0.4 (c) -72\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 + 19*l - 40. Give i(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002249 to 7 dps.\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 12 - (9 - 4)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 8. Let v be q(-5). Suppose -4*i = 3*f - 358, 0*i - 5*i - 25 = 0. Calculate the highest common divisor of f and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/(24\/(-30)*-9*(-3)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)\/(3\/(-2) + 2). Let p(s) = s**2 + 4*s - 2. Let d(k) = 2*k**2 + 5*k - 3. Determine n*p(c) + 3*d(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -102820.\nAnswer: 1\/25705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240210581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) + (-104)\/39. Let s = -4 + 8. Put s, 3, q in ascending order.\nAnswer: q, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*l**2*p**3 - 7*l**2*q*y + 2*l**2*q - 4*l*p**3*q - l*p**2 - p**3*y - 3*p**2*q wrt l?\nAnswer: 22*p**3 - 14*q*y + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n. Let c(x) = -5*x. Let s(p) = 2*b(p) + 9*c(p). Let y(o) = 4*o. Let m(g) = 9*g. Let d(h) = -2*m(h) + 5*y(h). Give s(d(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(756) + 1*sqrt(756))*-5)\/(sqrt(192) - sqrt(192)*2))\/(((sqrt(90) - ((sqrt(90)*2 - sqrt(90))*-5 - sqrt(90))) + sqrt(90))\/(2*sqrt(250))))**2.\nAnswer: 4375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -76, 0.\nAnswer: -76, -19, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -117, -740, -2143, -4620, -8465?\nAnswer: -13972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*a + 182 = 4*u, -5*u + 225 = 2*a. Let y = -39 + u. Solve -7 = -y*x + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -214334, -214361, -214390, -214421, -214454, -214489?\n\"Answer: -w**2 - 24*w - 214309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g*m**3 - 2*g*m**2*p - 4*g*m*p - m**3*p + m**3 - 2*m**2*p + 2*m wrt m.\nAnswer: 36*g - 6*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*v**2 - 577*v - 545*v + 1129*v to a + p*v**2 + q*v and give p.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, -1, -1.604?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 11. Let t(h) be the second derivative of -2*h**3\/3 + 78*h**2 - 77*h. Let l be t(37). Determine n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -4122453213?\nAnswer: 4122453212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*((u*u\/(u\/(u*u**5)))\/u)\/u)**(-19\/4)*((u\/u**(1\/2))\/u**(-2\/15))\/(u**(-2\/5)\/u**1) assuming u is positive.\nAnswer: u**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -12 - -6)*66\/(-10). What is the highest common divisor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.3. Let d = 45 + -8. Let g = d + -36. Which is the closest to g? (a) 0.1 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -81. Is ((-1039)\/c - 0)*(-29 - -31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**9\/15120 - k**7\/1260 + k**5\/120 + k**4\/12 + 3*k. Let f(p) be the third derivative of i(p). Factor f(y).\nAnswer: (y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*u = 14, -2*p + 11 - 9 = -5*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7908647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.451 - 25.451. What is the closest to -8\/7 in f, -1\/5, 6.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19906 is divided by 390?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3600 divided by 4\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4454136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s + 7*s + (2*s - 1 + 1)*(-1 + 4 - 1) - 2 - s + 2 - 1 - s + 1 - 22*s - 16*s - 26*s)*(-2 + 0 + 0).\nAnswer: 112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkudkuuakuakkakbk. Give prob of sequence aa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/73 - 59\/511. What is the smallest value in -1, z, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y - 3*y - 36 + 49 - 2*y - 3*y + 7*y + 2*y + 0*y + 0*y + (-5 + 5 + 1)*(y - 3*y + 3*y) + (-3*y - 3*y + 4*y)*(6 - 3 - 4).\nAnswer: 9*y + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59706 and 248.\nAnswer: 238824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16356 - -0.07.\nAnswer: -16355.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 8\/7, 1.\nAnswer: 0.1, 1, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 306 + 58?\nAnswer: 35e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r + 9. Let o(i) = -20*i - 9. Let w(y) = -4*l(y) - 5*o(y). Does 9 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 5. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:36 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6829 to 2 decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-116 - -159) + (-27 - -9)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -447 and 1.\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.175708432371 + -39.\nAnswer: -38.824291567629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/81*4\/(-6). Which is the closest to -1? (a) 2\/17 (b) 0.16 (c) 0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 < -11\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 269*k - 273*k = 8, 2*r - 8 = 3*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - -3.1. Sort c, 0.6, -1 in ascending order.\nAnswer: -1, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/200 + 1673*w**5\/300 + 15531*w**4\/8 - 25947*w**3\/10 + 147*w**2 - 2*w. Factor p(d).\nAnswer: (d + 279)**2*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6. Let p(n) = 51 - 199 + 52 + 48 + 53. Determine -6*p(j) + 5*u(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1110020 (base 3) to base 9\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 19*z + z + 22 + 12 + 43. Let k be h(-4). Let i = -4 + -1. Sort k, -17, i in decreasing order.\nAnswer: k, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g + 3. Let w be y(0). Suppose -2*o - 9 = o - 3*c, w*o - 2*c = -6. Solve -15 = -o*v - 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2 - 2*m - 1 + 0. Suppose -3 + 6 = p. Let n be r(p). Which is the third smallest value? (a) 2 (b) n (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/7)\/(264\/308)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2856 - -5302. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*s - 90, 2*c + 8*s - 3*s - 1 = 0. Let m = -8 + c. Suppose 5*r = 2*p - 8, 16 = m*r + 5*p - p. Put -5, r, -1 in decreasing order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2332*h + 4189. Is m(52) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80983665 divided by -67095.\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -157917840750581 + 0\nAnswer: -157917840750581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1504.5 - -1504. What is the closest to 2.4 in u, -1\/3, -29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.99059 times 0.5?\nAnswer: -77.495295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/15)\/(((b\/b**(-6))\/b)\/b))\/((b\/(b**7\/b))\/b**(-4)) assuming b is positive.\nAnswer: b**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 9) in base 10?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-28))\/((-28)\/(-2912)*-16)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670709692*s + 0 - 670709693*s + 0.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 1953*p - 5848. Calculate q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-425)\/(-6600) + (-120)\/(-1980)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - 14 - -189)*-246900. What is a rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*i + 26. Let f(n) = -n**2 - 7*n. Let r be f(-6). Let d be r\/i + (5 - 4). Which is the second smallest value? (a) 1 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(77\/(-21)))\/(3\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -283 - -279. Suppose 0*q - q = 3. Let m be ((-80)\/(-6))\/5 + q. Which is the nearest to 2? (a) m (b) y (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23277274 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*q - 1080 - 195 + 68.\nAnswer: -325*q - 1207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s + 3*v = 51, 4*v = 16. Suppose 0 = 2*c + 2*c - w - 33, -2*c + 5*w = -s. What is the remainder when 173 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13317620 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 162. Let l be (p\/(-12))\/(4\/66). What is the greatest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1294\/(-3) - -1)*(54 + -57). Let i = p - 312. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**5\/20 - 7*u**4\/24 - 8*u**3\/3 + 9. Let h(d) be the third derivative of a(d). Does 11 divide h(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*n - 17, 5*n - 25 = -3*f + 3*n. Let b = 11 - f. Suppose 3*h - s = b*s + 18, 3*h - 18 = s. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 439*v**5\/60 + v**4\/4 - 2*v**2. Let p be o(-4). What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 16) in base 14?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)\/(z\/z**(-2\/13)))**(26\/5)\/(z**(-2)*z**(1\/3))**(-28) assuming z is positive.\nAnswer: z**(-1697\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/(t**0\/t))\/t*t*t)**(-11)\/(((t\/(t\/t**(1\/4)))\/t)\/t**(2\/7)))**(4\/3))**(-50) assuming t is positive.\nAnswer: t**(20050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 894*g + 712 - 3394 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 76 = -50. Is -34 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 + 2*f. Let t(d) = 15*d**2 - 16*d**2 + d + 0*d. What is q(z) - 2*t(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let q(m) be the first derivative of m**5\/60 - m**3\/3 - 2. Let c(s) be the third derivative of q(s). What is c(y(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-727*m + 7*m**2 - m**2 + 744*m)*(-2*m**2 - m + m) + (-4*m - m + 4*m)*(2*m**3 + m**3 - 4*m**3) as a*m + x + s*m**4 + t*m**2 + k*m**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-14 - -3 - ((3 - -5) + -75)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 2*l)*(-58 - 56 + 84) + 12*l + 10*l - 9*l + 5 - l - 5.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15223477?\nAnswer: 15223477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 70*q = -99 - 301 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10623178 to the power of 1\/2, to the nearest integer?\nAnswer: 3259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15370837, -15370847, -15370859, -15370873, -15370889?\n\"Answer: -w**2 - 7*w - 15370829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 3126.6\nAnswer: -343.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202129043.\nAnswer: 29, 73, 95479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqze when four letters picked without replacement from {z: 1, e: 1, d: 2, r: 2, q: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -4*(sqrt(76) - sqrt(76)*-1))\/sqrt(4) + -2)**2 + (0 + sqrt(38)\/sqrt(2) - ((sqrt(38)\/sqrt(2))**2 + 1)).\nAnswer: 29*sqrt(19) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 0. Let k be (-3)\/12*-2*m. Solve k = b, -3*n + 15 = -0*n + 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284 by 53111.\nAnswer: -284\/53111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1178, 6, -3 in increasing order.\nAnswer: -3, 6, 1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12) + (-1*(sqrt(12) + sqrt(12) + -1) - sqrt(12)))**2*4.\nAnswer: -196 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(34)\/sqrt(2))**2*-2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (99596\/(-17785))\/(532\/(-10))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38433, 76977, 115523, 154071, 192621, 231173?\n\"Answer: h**2 + 38541*h - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -0.3, -0.5, 2, 0.5.\nAnswer: -0.5, -0.3, -0.17, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 22. Suppose -c*f + 176 = -5*f. Let a(r) = 3*r**2 + r + 1. Let m be a(-2). Calculate the highest common factor of m and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*f + 3)*(2 - 2 - f**2) - 1 - 2*f**3 + 1 + 32*f**3 + 25*f**3 - 16*f**3 - 2*f**2 + f**3 + 2*f**2.\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*u - 12, 2*s + 22 = u + 7*s. Suppose 73 = -u*n - 7. Is -1\/3 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 1067*o + 86372. Calculate b(434).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40483 is divided by 318.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6747706160685.0000048 - 6747712259293. Let m = 6098615 + i. Let q = m + -7. What is q rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15601375.\nAnswer: 5, 19, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, -3, 1, -379, -1.\nAnswer: -379, -3, -2, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000353527 rounded to six decimal places?\nAnswer: -0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let m(i) = 536*i**2. Give d(m(a)).\nAnswer: -1072*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**3*n - 14*k**2*n**3 + k*n**2 + 11*n**3 + 7 wrt k.\nAnswer: -30*k*n - 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/524653?\nAnswer: 2\/524653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*q - 2255 + 267 = 2075 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3\/(-3)) + (-3)\/((-27)\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2004 (base 8) to base 13.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/14)\/((-1)\/(-2)). Let q = -0.052 - -1.052. Let r = q + -2. Is r at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*t + 40, s = -2*s - 2*t + 9. Let r be (s\/2 + -15 + 12)*2. Suppose -o = 2*o - 15. Put o, -5, r in decreasing order.\nAnswer: o, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, o: 1, h: 1, k: 5, m: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q**4 + 0*q**2 + 3\/5*q**5 + 0*q + 17*q**3 - 2\/3*q**6 + 46. What is the third derivative of i(n) wrt n?\nAnswer: -240*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6.1, -6\/5, -2\/9, 4, 0.2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008588 to 7 decimal places.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558 = -8*d + 594. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (146 - 82)) + -29\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 48*p**4 + 5962*p**3 - 76704*p**2 - 4703960*p - 4621344 = 0 for p.\nAnswer: -39, -28, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4 + 4)*((-1 + 6 - 1)*(-1 + 3 - 1) + 3 - 1 + 2)*(-2 + 2 + 3*n) - 4*n**2 + 2*n**2 + 0*n**2.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4322994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 - a + 3. Let o be u(5). Let s = -85 + o. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*m**3 + 75*m**3 - 192*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2711832 and 14629620.\nAnswer: 555925560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -14124\/5*z - 2\/5*z**2 - 24935922\/5 = 0?\nAnswer: -3531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23481 - 23479. Factor 4*l - l**3 + 2*l**c - 1\/2*l**4 + 0.\nAnswer: -l*(l - 2)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6642 rounded to one dp?\nAnswer: -19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3443*w - 328. Let p(a) = 42*a. What is f(p(b))?\nAnswer: 144606*b - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-35)*(m\/(m\/m**9))\/m assuming m is positive.\nAnswer: m**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13835 = -1607*t + 37648 + 27260 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**4\/x)\/x)\/x)\/(((x**(-12)*x)\/x)\/x) assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 2284552?\nAnswer: 11422760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 2*x - 0*x + 2*l, l = 1. Let u = 93 - x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*i. Suppose i = -6*h + 12*h - 54. Calculate the highest common divisor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-154 - -158) + 2 + 17 + -7 - 76\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*w**3 + 6*w + 29*w - 63*w**3 + 36*w as y + c*w + h*w**3 + g*w**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((1 - 0) + (0 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t*t*t)\/(t\/(t\/((t**2\/t)\/t))))\/(t**4*t*t\/t**3) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16998*d**3 - 32585*d wrt d.\nAnswer: -101988*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*k*m**2*q**3 - 10*k*m**2*q - 10*k*m*q**3 - 64*k*m*q**2 + 3*m*q**3 - m*q**2 + 3*q**3 wrt m?\nAnswer: 212*k*q**3 - 20*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305.0996538 + 305.1. What is a rounded to five decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 389 (c) 3 (d) 0.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326660, -326662, -326664, -326666, -326668?\nAnswer: -326670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/56)\/2 + (-26)\/(-28). Let c(d) be the second derivative of d + 1\/3*d**3 + 0 + 1\/12*d**4 + f*d**2. Factor c(v).\nAnswer: (v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 3*s + 2. Let d be o(4). Let c(y) be the second derivative of 1\/6*y**3 + y**2 + 2*y + 0. What is c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/90)\/((-2)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 53. Let k(s) = -16*s + 158. Calculate 11*c(d) - 4*k(d).\nAnswer: -2*d - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - (0 - (-25 - -20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + 2) - -6 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99768591 divided by 9\nAnswer: -11085399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2 + 28*j**2 + 26 - 9 - 17. Let n(f) = 5*f + 3. What is n(a(s))?\nAnswer: 90*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxzzxx. Give prob of sequence xzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ed53 (base 16) to base 7.\nAnswer: -4654444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286667426 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167965 is divided by 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1564)\/(-34) - (-54600)\/(-1190). Factor 0*x**4 - 12\/17*x**3 + 16\/17*x**2 + i*x**5 - 6\/17*x + 0.\nAnswer: 2*x*(x - 1)**3*(x + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41235?\nAnswer: 3, 5, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccyytqqqvvqv. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1081*y - 3984 + 3984 to the form o*y + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16665 by 3333.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -5. Let g = z - 15. Suppose -g*m + 22 = -8. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/428 and -64\/535.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = q, 18527*q = 7*y + 18523*q - 72 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9855)\/108*17\/((-510)\/24)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/75 - (-6)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19815\/8372 - 199\/84. Which is the third smallest value? (a) 4 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.3252652063217.\nAnswer: -2.6747347936783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((1 - -1)*-1). Suppose -2*t = 2*f + 2, 4*f + t = -4*t - i. Which is the closest to 0? (a) f (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-925290)\/(-1575))\/46 - (51\/(-21) - -1)) + -14.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-4 + sqrt(51)\/sqrt(12) + 4.\nAnswer: -7*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 453182797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7359*s + 1838*s - 2*s**3 + 1839*s + 1845*s - 6*s**2 + 1852*s + 3 in the form q*s**2 + k*s + x + d*s**3 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.3, -1, 0, 901 in decreasing order.\nAnswer: 901, 0, -0.3, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 177 = 3*b + 4*o, 1880*o = 4*b + 1876*o - 132 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5282833789 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -11*g**4\/24 - 27*g**3\/2 + 45*g**2 + 2. Let u be m(-14). Solve 0 = -10*k + 23 - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2170 + 8291. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*h**2 - 2*b*h + 10*b + 43561*h**3 - 8*h**2 + 115939*h - 3 wrt h?\nAnswer: 2*b + 261366*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.807415 litres in millilitres?\nAnswer: 8807.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -481 plus -414244485?\nAnswer: -414244966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 56.34832, 0?\nAnswer: 56.34832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.1 - -22.9. Let v = o - 29.9. Which is the nearest to 0.1? (a) v (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 8 = -7*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1)\/(6 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + 14.13. Let k = 7 - d. Let r = -8 - k. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*j - 9 = 137*j. Let r(d) be the second derivative of 1\/3*d**2 + 0 + 1\/36*d**4 - j*d + 1\/6*d**3. Factor r(t).\nAnswer: (t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = -4. Suppose 0 = 3*y + p*s, -y = -2*y + 3*s. Suppose y = 4*d + d. Solve d*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1474 and -39\/2?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 6*v + v)*(7*v - 1 + 1) - 1 + 0*v**2 - 7*v**2 - 9.\nAnswer: -21*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*v - 110, 0 = -2*a - 4*v + 4 + 48. Suppose -4*t + a = -2. What is the lowest common multiple of 33 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 7, b: 1, e: 1, x: 3}. What is prob of picking 1 t and 1 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 47.\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2 - 7. Let u be 0\/(n + 0 + 0). Suppose -2 = -b - u. What is the smallest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24039 - -37443. List the prime factors of b.\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 - -137715?\nAnswer: 137557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**19*u)\/u**(-4\/13) assuming u is positive.\nAnswer: u**(-217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 9 + (10 + 1 + 0 - (-556 + 550))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7514 + 347514. Let u be (-10 - 1)\/(2720002\/j + -8). Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/7 - 514*w**2\/7 + 66560*w\/7 - 131072\/7 = 0.\nAnswer: 2, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((0 - -4) + 1). Let x = 2 - o. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1276 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*o + b - 11 - 169, 0 = -b - 50 + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 125137, 250267, 375381, 500473, 625537?\n\"Answer: -t**3 - 2*t**2 + 125143*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 5, 2.\nAnswer: -91, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 18 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402784 (base 9) in base 4?\nAnswer: 322023121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -11) + 3 + -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*522\/(-12). Let s = -27 - r. Suppose 2*h - 35 = a, h + s*h = 2*a + 50. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6860588 centuries in years?\nAnswer: 68.60588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 5. Suppose -4*k = v - 29. Let x = 7 - k. What is the greatest common divisor of 22 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2076 (base 9) to base 2.\nAnswer: 10111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 63 = 102 + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 175*m. Let t(a) = 55*a + 3. Give s(t(q)).\nAnswer: 9625*q + 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95087624 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-168) + (-28)\/(-637).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -49333\nAnswer: 20\/49333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49431397*w**3 - 170309*w**2 + 26?\nAnswer: -296588382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 31 - 8*p + 11*p)*(3*p**3 + 0*p**3 - 5*p**3).\nAnswer: -6*p**4 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(140\/950)*1\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-1 + 1 - 6)*(-w**4 - 2*w + 2*w).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262 by -2.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*c + 5*w = 90*c - 85, -5*c + 115 = 5*w. Calculate the smallest common multiple of c and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -23*j - 6. Let h be x(-7). Suppose -6*z - 100 - 2 = 0. Let u = z - -48. What is the greatest common factor of h and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 2*w + 42*w - 1364 = 4*b, 5*b = -4*w + 100 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1676*q + 1739. Let m(v) = 3348*v - 3482. Let o(s) = -4*m(s) - 9*x(s). Differentiate o(b) wrt b.\nAnswer: 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -116\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.42 + 0.02. Let b = 0 + 0. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 - (10 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 1. Let y(z) = 5*z**2 - 11*z - 5. Let k = -1 + -5. Let f(w) = k*q(w) + y(w). Give f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/4 - 2007*s**2\/4 + 3998*s = 0. What is s?\nAnswer: 0, 8, 1999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 19*o**5\/60 - 53*o**4\/24 + 35*o**2. What is the second derivative of i(u) wrt u?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -53*n - 772. What is the remainder when 282 is divided by g(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 6. Let y = 2.726 + -0.266. Let l = 0.54 + y. What is the second biggest value in -2\/7, v, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0)*(-1 - 0\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**8\/28 - f**4\/12 + 3*f - 3. Let p(h) be the first derivative of n(h). Find the third derivative of p(l) wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 3*g**3 + 6*g**3 - 4337 + 1052.\nAnswer: 9*g**3 - 2*g**2 - 3285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1133 (base 16) to base 15\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2191, 0.5, 2\/21, -3 in descending order.\nAnswer: 0.5, 2\/21, -3, -2191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5114 = 2*x, 3*x - 4*x - g = -2555. Let v = -1385 + x. Let t = -540 + v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 4*c + 4. Determine x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.999 - 0.436. Round p to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906\/(-4228)*8\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*d + 1039*d = 328 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5484, 10953, 16400, 21819, 27204, 32549, 37848, 43095?\nAnswer: 48284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 12. What is the second smallest value in -2, -1\/11, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10)*-22 - (391 - 396). Sort -17, 5, -0.01, j, 0.9 in ascending order.\nAnswer: -17, -0.01, j, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6 - 1\/(-2). Suppose -13*r + 17 - 82 = u. Let h = -55 + 55.1. Which is the nearest to h? (a) 0.2 (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428811196?\nAnswer: 2, 11, 17, 573277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**6\/36 - j**4\/6 - j. Let y(m) be the third derivative of g(m). Let l(c) = -2*c**2. Give y(l(n)).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 656, 1700, 3162?\nAnswer: 5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l*l*(l**(1\/9)*l)\/l*l**(-2\/7)*l**(1\/4)*l assuming l is positive.\nAnswer: l**(2035\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -36 + 25 + 53*c**2 - 54*c**2 - 45*c - 33 = 0. What is c?\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-15) - 13\/((-2145)\/26708). What is the greatest common divisor of 42 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.678 * 3\nAnswer: 2.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 231, 991, 1723, 2421, 3079?\n\"Answer: -y**3 - 8*y**2 + 791*y - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3))**19\/(i**(2\/7)*i*(i**(-10)\/i)\/i) assuming i is positive.\nAnswer: i**(491\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 5*n, i = -4*i - 2*n + 19. Suppose -d = -0 - i. Let c be (-15)\/90 + (-74)\/(-12). Solve c = -d*f, -4*f - 5 = m + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154158 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -3*l + 8*l, -4 = -5*a - 3*l. Let t = 11 + -9. Let j be 0 - (0\/t + -5). Solve j*w + 3*d - 6 - 22 = 0, 4*w = a*d + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (324\/90)\/(1\/(-5)). Let m be (6489\/14)\/(s\/(-48000)). What is m rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 8 + (0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49775752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z. Let o(s) = -10*s + 1. Let p = -126 - -119. Determine p*k(f) + 2*o(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*t - 208, 0 = 2*t + 6*v - 4*v + 94. Calculate the remainder when (-4 + 132\/(-48))\/(1\/t) is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 - 1 + 6)*(2 + 3 + 11).\nAnswer: -32*a + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:06 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15293730 by 28.\nAnswer: 7646865\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = -4. Find the second derivative of 3*w**2 - 2*w**2 + 5*w + 2*w**h wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(2\/(-28)). Suppose -8 = 5*l + m. Let a = l - -1. Sort 0, a, 4.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - -19251.7.\nAnswer: 19292.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*n - 5*n + 0*n + (-2 - 1 + 4)*(n + 0*n + 3*n) - 42*n + 19*n - 17*n in the form w*n + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-3)\/(-9))\/((-5)\/3870). Let c = -238 + b. Calculate the least common multiple of 5 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - n + 7*n)*(4 - 8 - 9)*(n**2 + 2*n - 2*n) to the form j*n**2 + d*n**3 + h + c*n and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25746 is divided by 402.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 404605969 to the power of 1\/2, to the nearest integer?\nAnswer: 20115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -35*f**2 - 2*f - 2. Let j be x(-1). Let n be (-10270)\/j - 4\/(-7). Let z be (3\/18 - 0) + (-61)\/n. What is the nearest to z in 0, 0.5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*b = -8, -694*b = -5*w - 701*b - 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -13 - (-11 + -7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 158*p**3 + 9*p**2 - 8*p + 30. Let a(n) = -210*n**3 - 12*n**2 + 10*n - 40. Calculate -7*a(u) - 9*f(u).\nAnswer: 48*u**3 + 3*u**2 + 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.50131us to seconds.\nAnswer: 0.00003950131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 17*u + 6. What is x(-14)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -12634046\nAnswer: 176876644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, o: 5, w: 1, q: 2, e: 1}. What is prob of picking 2 o and 1 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6085652 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -4, 3, 1, -5 in ascending order.\nAnswer: -5, -4, 1, 3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 + 3*v - 10. Let i be u(7). Let x be ((-14)\/8*6 + 3)*-2. Solve -5*m - 10 - x = 5*y, -4*m = y + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 110\/(-132)*(3 - 1)*-3. Let h = 0 + -1. Which is the closest to -1? (a) h (b) l (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409518664?\nAnswer: 2, 37, 1383509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxg when three letters picked without replacement from ggigx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 16 = 0. Suppose 13 = 3*l + o. Solve -l*g = -6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.73 (b) -4\/7 (c) -2.03 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 9. Let i be l(-7). Suppose 2*f = 17 - 1. Does 9 divide i\/(-3)*(-324)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24290 and 12710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1723 + -1723.01. Let t = 0.29 - 0.29. Which is the nearest to t? (a) z (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1955 + 10572. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**4 - w**2)*(-3*w + 3*w + 3*w)*(2 - 6 + 0).\nAnswer: -24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 1)*(-23 + 9 - 8)*(1 - 3 + 3) - 4 - 5 + 4)*(-y - 4*y + 2*y).\nAnswer: 147*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.0523?\nAnswer: -0.04707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 13 + 5 = 0. Find the common denominator of 375\/21*14\/12 and 412\/54*(-3)\/(-4) - s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 260794*d**2 + 11*d - 11. Let w be b(1). Suppose -q + w + 218206 = 0. What is q rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, t: 1, z: 1}. What is prob of sequence kzk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/(-310) - (-263)\/(-8153). Let o = -2 - -1.5. Let z = 0.63 + -0.03. Which is the nearest to i? (a) z (b) o (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = q - 0*q + 10, 5*r - 25 = -2*q. Suppose 4*c - 2*t - 285 = 241, -5*c - 5*t + 650 = q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 1\/3 (c) 0 (d) 30480\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6629.204 centuries?\nAnswer: 7955044.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d - 33?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64736584 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1 + 2 + 7*b + 5 - 3 - b**2. Suppose -2*n + 18 = n. What is the smallest common multiple of n and t(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.584221379 - -267.584191579. Let s = n + -266. Round s to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-1200) + (-141)\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24*d**2 - 17*d - 57. Let m be i(-5). What is the tens digit of m\/3*(-12)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1318*d - 6482. Let j be y(6). Calculate the greatest common factor of 1178 and j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19640385 is divided by 467628.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 11) + -8 + 16 + (-26 - (2 + 1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 48. Suppose -g + 3*g - 2 = 0. What is the closest to -1 in g, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -211924, -423839, -635748, -847651, -1059548, -1271439?\n\"Answer: 3*v**2 - 211924*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51307 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -2.2. Let u = 4.5859 + 0.4141. Which is the fourth biggest value? (a) u (b) 2 (c) -1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2415*f**3\/2 - 1760526*f**2 + 1283403771*f\/2 + 4782969 = 0. Calculate f.\nAnswer: -6\/805, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2994)\/(-14) + 1\/7?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4*(-42)\/72*6)\/(12*-1).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/4 - 22994205*a\/2 - 45988413\/4 = 0 for a.\nAnswer: -1, 15329471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2656 and -1\/304.\nAnswer: 50464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 31353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5299, -10625, -15951?\nAnswer: -21277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 2. Let d be y(6). Let v(n) = 3*n - 1. Let u be v(3). Let m(z) = -u + 0 + z + 0. What is m(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**6\/120 - 2*a**5\/15 - 5*a**4\/24 - a**3\/6 - a**2. Suppose u - 11 = -5*t - 45, -6*t = -u + 54. Give z(t).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**3 + 7*w**2 - 6*w**2 - 1 + w + 0*w**3 - 2*w**2. Let o be d(1). Does 6 divide ((-12)\/20)\/(1\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 4*a**2 + 3*a + 2. Let d be i(3). Let u be 0 + 3*d\/3. Let f be (-28)\/(-24) - (-6)\/(-9). Do f and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 7*s + 4. Let k(b) be the second derivative of -3*b - 1\/2*b**2 + 1\/6*b**3 - 1\/12*b**4 + 0. Let d(m) = -a(m) + k(m). Give d(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -12*u + 7 + 147. Calculate the remainder when 1816 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 2\/(-10) + 183\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 10 + 18 = -2*h, 3*h + 26 = -2*s. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2951 + 5?\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405*w + 12265 - 10860 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 9. Let k = 13 - g. What is the highest common factor of k and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 503, 788, 1073, 1358?\n\"Answer: 285*s + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-65215)\/40 - 3. Let s = 3239 + p. Let z = 10\/4129 + 400233\/115612. Find the common denominator of z and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 4\/185 (c) 3\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4559, 35146, 117787, 278510, 543343, 938314, 1489451, 2222782?\n\"Answer: 4338*g**3 - g**2 + 224*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w - 7. Let t(n) = -15*n + 6. Let r(g) = 4*l(g) + 3*t(g). What is the derivative of r(m) wrt m?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = b - 89 + 64, 5*j = 3*b + 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 3*m**2 - 3*m + 84 - 34 - 3*m**3 as s*m**3 + f*m**2 + c*m + r and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 17*a - 22. Let q be d(16). Let x be ((-2)\/(-69))\/(q\/(-18)). What is the second smallest value in -2, -3, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {e: 2, v: 3, y: 3, g: 1, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = w + m + 3, m = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -1. Suppose 0 = z - 14 - 8. Let s = z + -10. Calculate the remainder when s is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + d**2 - 2 - 3*d + 5*d. Suppose -7*g + 20 + 155 = 0. Let v be ((-2)\/1)\/(10\/g). Give w(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 10764.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:21 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -23. Let v(s) = 2*s**2 + 22*s - 25. Let x be v(w). Let z(d) = -d + 12. Let m be z(10). Sort x, -5, m, -4 in ascending order.\nAnswer: -5, -4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 448*n\/3 - 3185\/3.\nAnswer: (n - 455)*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i**2 + 39*i**2 + 46*i**2 + 45*i**2 - 176*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 4*q + 8 = 0, -4*z - 2 = q. Which is smaller: -8 or z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 17*y + 9 = 0. Which is bigger: -3\/13 or y?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:20 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/20*(-15)\/6*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/3 + 349936*b\/3 + 30613801024\/3 = 0. What is b?\nAnswer: -174968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2\/7 - 9*b\/7 - 22\/7 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**2 + 27*y - 9. Let w(b) be the third derivative of -b**5\/20 - 7*b**4\/24 + b**3\/3 - 441*b**2. What is 2*s(r) + 9*w(r)?\nAnswer: -r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -y - 3*y. Let a = 36 - 20. Calculate the remainder when a is divided by (y\/8)\/(7\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1239 + 1119. Is g a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - (-10)\/15)*45\/(-220)*12 and -5\/29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*s + 5*f - 9, 2*s - 1 = -3*f. What is the nearest to s in -0.7, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.422847 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 15618322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-5 + -1 + -1. What is the units digit of (2 + 0 + v)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 1448*a\/3 + 7390.\nAnswer: -2*(a - 15)*(a + 739)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 144600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 46 = 4. Suppose 0*c = -c + s. Suppose -477 = -82*m + 9855. What is the highest common divisor of c and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 27*i**2 - 5*i + 4. Let x be o(3). Let n = x + -101. Let a = -50 + n. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761980 divided by -112980?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5318*h**3 + 5189*h**3 - 15405*h**3 + 5262*h**3.\nAnswer: 364*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1318.84992 - -1327.85. Let l = -9 + n. Round l to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 83 = s + 4, 4*s - 3*p - 248 = 0. Calculate the remainder when s is divided by (-1 - 9)\/((-6)\/12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/51 - (3 + 96\/(-51)). Which is the nearest to 4? (a) 0 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 570\/(-135) + (-2)\/3. Let p(d) be the second derivative of 5*d + s*d**3 + 0*d**2 - 1\/36*d**4 + 0. Factor p(h).\nAnswer: -h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m**2 + 0*m - 315\/4*m**4 - 198 + 57*m**3. Find the third derivative of f(g) wrt g.\nAnswer: -1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 154991058.\nAnswer: 2\/77495529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 48. Let s = -127 + 109. Let h = s - c. Let d(g) = g - 2. Let x(o) = 2*o - 2. Calculate h*d(n) + 3*x(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 52.31. What is the closest to 0.2 in -0.1, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.27 + 0.17. Let k = i - -5.1. Let j = -4 + k. What is the third smallest value in 5, 0.2, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 50. Determine p(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c + 61*c = 100*c - 3978 for c.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 116276897\nAnswer: -116276892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498358.\nAnswer: 2, 7, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 19 = 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/6829 + 430643\/355108. What is the common denominator of ((-13)\/(-4))\/((-6)\/10 - (-703)\/555) and c?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576871, 576872, 576873, 576874, 576875, 576876?\nAnswer: 576877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3312*k + 3116*k - 6412*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = -3*k. Put -4, k, -2 in descending order.\nAnswer: -2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 divided by -107?\nAnswer: -397\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -67. Calculate the greatest common divisor of 105 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331405473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54957900 and 14500.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2390 or -2387?\nAnswer: -2390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -541*u**7\/21 - 137*u**4\/6 + u**3\/6 - 602*u + 2. Find the third derivative of d(w) wrt w.\nAnswer: -64920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/268 and -91\/2448?\nAnswer: 164016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 22*v + 11*v + 13*v)*(-1 + 0 + 3)*(4 + 1 - 3) to p + x*v and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*l - 5403 = -145*l + 2772 + 2833 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 48 = -4*f + 2*h, 4*f - 5*h = 66. Suppose f*p - 20 = 9*p. Let d(j) = -2*j - 8. What is the lowest common multiple of d(-12) and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b343 (base 13) in base 15?\nAnswer: -85c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 - 4*l. Let p be v(-5). Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 7*v**3\/6 + 17*v**2\/2 - 4*v - 13. Let a(o) = -o. What is a(w(q))?\nAnswer: -7*q - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/2))**(-2\/47)*((l*l*(l\/(l**(-2\/11)\/l))\/l)\/l)\/(l**(3\/2)*l) assuming l is positive.\nAnswer: l**(-307\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24950 + -15364. List the prime factors of x.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (-21 - (1 - 2))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (-4*(-2*sqrt(76) - sqrt(76)))\/(sqrt(100)*1).\nAnswer: -2 + 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/45*((-53)\/((-6572)\/930))\/(3\/(-20)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by 6.\nAnswer: 245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(8)*-1) + 3*(sqrt(42)\/sqrt(3) + sqrt(14)))\/(sqrt(77)\/((sqrt(11) - sqrt(176))*1)).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 3*q**4\/8 - 4*q**3\/3 + 7*q**2. Let d be p(-13). What is the units digit of d\/(-2) + 2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 14. Let n(g) = g**3 - 3*g**2 - 2*g + 4. Let j be n(3). Let a be (0 + j)*21\/(-2). Calculate the highest common divisor of a and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4462743, -17850994, -40164745, -71403996, -111568747, -160658998, -218674749?\n\"Answer: -4462750*m**2 - m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 15900 + 12044. List the prime factors of n.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 917, 1834, 2745, 3650?\n\"Answer: -3*c**2 + 926*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226\/78305 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3923 + 1969 - 578*m**3 + 1954.\nAnswer: -578*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*c**3 + 3711*c**3 + 31*c - 33*c.\nAnswer: 2960*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 - -166. Let j = 123 + -125. What is the nearest to -1\/3 in -3\/2, s, j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -3*b - 15. Let n = -905 + 921. Solve g - 3*i = b*g - 17, 4*g = 4*i - n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 30, 90, 206, 396, 678?\n\"Answer: 3*n**3 + n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -292, -307, -320, -331, -340, -347?\n\"Answer: f**2 - 18*f - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*y - 0*s + 7, 0 = 2*y + 3*s - 12. Suppose -4*w + 4240 = 4*m, 0 = -22*w + 19*w - y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**4 - 91*s**3 + 5*s - 564.\nAnswer: 36*s**2 - 546*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-54))\/((-70)\/(-28))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 - 2*w - 3. Suppose 5*l - 4*l - 34 = 0. Let p be ((-8)\/(-16))\/(((-1)\/l)\/(-1)). Suppose p = 6*s - 13. Give c(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, g: 3, j: 2, k: 3}. What is prob of picking 1 k and 3 g?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 697*k**2 - 349*k**2 - 343*k**2. Let q(w) = 7*w. Determine h(q(g)).\nAnswer: 245*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2 + 101*c + 347?\nAnswer: 4*c + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1690*o**3 - o**2 - 15*o - 40. Let h be w(-3). Calculate the highest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.8, -4, 2 in increasing order.\nAnswer: -4, -1\/4, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 12*i - 11. Let l be f(14). Let g = l + -14. Suppose -g*w - 2*w + 425 = 0. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11830?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/168 and -107\/2464.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.9. Let d = -22 + 21. Let x = -4 + 3.6. What is the second smallest value in v, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241764 divided by 2?\nAnswer: -620882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 47 = 5*m, m + 2*v - 14 + 1 = 0. Suppose m = -12*p + 8251. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*z - 48*c + 44*c, 2*z = -5*c + 28. What is the highest common divisor of z and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 26003911.9\nAnswer: -10401564.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:25 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:22 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 89. Let s be (-12)\/8*(-24)\/v + 6. Let a(d) = 2 + 5*d**s + 9 - 3. Let l(t) = -2*t**2. Determine l(a(j)).\nAnswer: -50*j**4 - 160*j**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 4. Let l be w(-6). Let a = 23 - l. Let d(x) = 21*x. What are the prime factors of d(a)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -253*d + 257*d + 76 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*15\/(-10) + (-1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19020547 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d + 27264 = 27345 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 35*j**2 - 70*j - 78. Does 2 divide l(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4664 and -145\/24.\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 6620 = -18340. Does 88 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-309)\/2)\/((7 - 5)\/12). Let f = 933 + m. What is the smallest common multiple of 22 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56911 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 862, 1164, 1682, 2422, 3390?\n\"Answer: g**3 + 102*g**2 - 11*g + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3978\/510)\/(6*(-2)\/(-20)) + -3. Sort -5, 1, -3, -9, j in decreasing order.\nAnswer: j, 1, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(0 + 1)\/6. Let o = 48 + -49.9. Let x = o + -0.1. Sort h, x, -2\/9 in descending order.\nAnswer: h, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*z + 20 = -0*z, -3*z = -3*c + 39. Let u(t) = 2*t - 15. Let s be u(c). Suppose p - 6 = -2*p. Solve k = -p*k - s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 34?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 2176.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -3718?\nAnswer: -3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**9\/75600 - i**8\/6720 + 19*i**4\/24 - 22*i**2. Let g(a) be the second derivative of u(a). Suppose g(r) = 0. Calculate r.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5582159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 - 0.59. Sort p, 2\/3, -1.\nAnswer: -1, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*w, -60*d = -57*d + 3*w - 12. Solve 9*o = d*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 (base 7) in base 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paaa when four letters picked without replacement from shbapsphpzaabbb?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 26 = 2*j - 0*q, -2*j = 5*q + 10. Suppose 5*h - 1 = w + 4, j*w - 56 = -2*h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-3*t**5 - 1 + 1).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 8, v: 4, a: 4, k: 2}. What is prob of picking 1 k and 2 n?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 48*o + 68*o - 15*o + 16*o.\nAnswer: 117*o + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 14*l**2 + 111*l - 1630. Calculate b(15).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(132)*-4)\/(sqrt(432) - 4*sqrt(432)*5) + 1.\nAnswer: 2*sqrt(11)\/19 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:24 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-45)\/10 + 3)\/(1\/(-2)). Is -9\/5 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660356761.\nAnswer: 19, 31, 239, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 7*y**2 + 2*y**2)*(y + y - 5*y) - 3*y**2 + 3*y**2 - 5*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2046 + -2044. Let f(q) = -4*q + 13. Let v(b) = 10 - 25 + 3*b + 18 - 4*b. Determine j*f(c) - 9*v(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*w - 34, 2*w + 2*g = 6*g + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012222 + -1022?\nAnswer: 2011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 14 + 8 + 19 + -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 171187*j + 2. Let n(b) = 9*b**2. Give i(n(h)).\nAnswer: 1540683*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 703.92 from -7828.\nAnswer: -8531.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1, -1\/3429?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w - 3. Suppose s + 2 - w = 0, 3*i = -3*s + 117. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 333*q**2 - 169*q**2 - 165*q**2 + 7*q + 130*q**3 - 56*q**3 - 8*q in the form s*q**3 + y + f*q**2 + r*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 7, 15, 3797, -4.\nAnswer: -4, -2, 1, 7, 15, 3797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6955082ml to litres.\nAnswer: 0.0006955082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345827.9ml in litres?\nAnswer: 345.8279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*v - 374 = -418, -2*r + 31 = 3*v. Find l such that -2*l**r + 1\/4*l**3 - 4 + 5*l = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4358 (base 10) in base 13?\nAnswer: -1ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - l + 4. Let v be i(-6). Let p = v + -87. Let k = -2 - -1. Which is the nearest to 6? (a) 1 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -60, -279, -730, -1491, -2640, -4255?\nAnswer: -6414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r + 4*r - 15*r in the form w*r + l and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 56\/295?\nAnswer: 56\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 34b?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*q + 354 = 0, 4*q - 5 - 3 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -20*b - 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + 84. Suppose 4*v - z = -w + 8, -2*v + w = -12. What is the highest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 2*i - 3*i. Let p(n) = -4*n**2 + 12*n + 12. Let q(x) = -x**2 - 3*x - 3. Let l(d) = p(d) + 4*q(d). Determine r(l(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1487921*x**2 - 1073182 wrt x.\nAnswer: 2975842*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1983736974, -1983736975, -1983736976, -1983736977?\nAnswer: -1983736978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - (30 + -47)) + (0 + -1 - -7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4110 + 2*i**2 - 4110.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(405) - 1*sqrt(405) - sqrt(405)) + -2)*-3 + -2)**2.\nAnswer: 864*sqrt(5) + 14644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 10*z - 10. Let t be s(8). Let c = 27 - t. Suppose -l + 1 + 2 = 0. Calculate the greatest common factor of l and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1982 + 1981 + 3708*y + 2210*y)*(-2 + 1 + 2)*(1 - 2 + 0).\nAnswer: -5918*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*f = -8*f - 10, 3*f + 6 = 3*y. Let g(c) = c**3 - 11*c**2 + 11*c - 10. Let n be g(10). Let u = y - n. Which is greater: -2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -17.2. Let c = -0.9 + r. Let i be 1*(-2)\/(-4) - 1. Sort c, i, 4 in ascending order.\nAnswer: i, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*x = 282*x + 108*x + 74*x - 34572 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -62, -61, -60, -59?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 636 = -6268. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 261*r**2 + 1026*r - 70. What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:46 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6114627 (base 8) in base 4?\nAnswer: -12021212113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -1\/3*m**4 + 12*m**2 + 2\/3*m**3 + 30*m + 0. Factor a(p).\nAnswer: -4*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 - (-24 + -17 + 31).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16858, -33713, -50570, -67429, -84290, -101153?\nAnswer: -118018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + sqrt(1377))**2 - sqrt(1377)).\nAnswer: -63*sqrt(17) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001950773 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2. Let t(l) = 21*l + 126. Let n be t(-6). Let g(q) be the third derivative of 0*q**4 + 2*q**2 + n*q**3 + 0 + 1\/20*q**5 + 0*q. What is g(b(m))?\nAnswer: 27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15392816 by 3848204.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(6\/11))\/((a\/(a**(5\/6)\/a))\/a))\/(a**(-33\/4)\/a**(-2\/15)))**(-35) assuming a is positive.\nAnswer: a**(-14623\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g + 4\/57*g**3 + 1\/19*g**2 - 28 + 1\/38*g**4. Factor c(f).\nAnswer: 2*f*(f + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqmmmsuqumqqswqmsusm. Give prob of sequence mqq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*a**6 - 290888*a**5 + 21937231*a**2 wrt a.\nAnswer: 28440*a**3 - 17453280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + (sqrt(91) + (3*sqrt(91)*-3 - sqrt(91)))\/(-3*(sqrt(7) - -2*sqrt(7) - sqrt(7)) + sqrt(7)))**2.\nAnswer: -18*sqrt(13)\/5 + 1203\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -302931 + 641890. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o*o**13\/o))*o*o*o*o**(-2) assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:52 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r - 4. Let j be p(-3). Let q be 63*j\/6*1. Solve 0 = -2*f + 4*b - 26, -4*f - q - 15 = -4*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3 = -3*w, -2 = 4*w + 6 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 34. Suppose -2*b - 4*s + 0*s + 28 = 0, -5*b + s + 114 = 0. What is the lowest common multiple of b and (-1 - d)\/(4\/12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nidrmdn. What is prob of picking 1 m, 1 r, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-45) + 5\/21\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 506 - 898. What are the prime factors of n\/(-6) - 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10500 is divided by 1376.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.072 (b) -2\/27 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18224.6527902 and 0.12.\nAnswer: 18224.7727902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/((sqrt(20)*-1)\/sqrt(2)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10 = -5*x, 3*v = -v. Suppose -1 + 9 = x*b. Suppose 20 = b*y - 4. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 350077*i**2*u - 34*i*u**2 + 63419730*u**2 wrt i.\nAnswer: 700154*i*u - 34*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 2, u: 1, f: 8, m: 4, w: 2}. What is prob of sequence mw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3797844 is divided by 1118?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -138 - (-692 + 908)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:57 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 9, -110\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 - -0.150236. Round t to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.77?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4973\/165 - 151\/5. Let v(m) be the first derivative of 2*m**3 - 2*m**2 - m + 65. Let r be v(1). Which is bigger: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1204779 + -591130. Let o = t - 1226649. What is o rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -884 by -68.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/55)\/((-30)\/(-50))*(-204 + 222)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2 - 5*b*k**3 - k**3 + 30*k**2 with respect to b.\nAnswer: -6*b - 5*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112422427 to the power of 1\/2, to the nearest integer?\nAnswer: 10603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 11979000 + 48454\/3*b**4 + 98\/3*b**5 - 83635200*b + 145219470*b**2 + 7976438\/3*b**3 = 0.\nAnswer: -165, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*z**5 + 29*z**2 + 1576*z wrt z.\nAnswer: 540*z**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -44772*d. Let m(h) = 17*h. Let f(a) = 10332*m(a) + 4*t(a). Let g(n) = 3*n. What is g(f(o))?\nAnswer: -10332*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12581800 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**7\/630 + p**6\/120 + p**5\/60 + p**4\/72 - 8*p**2. Factor u(h).\nAnswer: h*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93675, -195087, -296499, -397911?\n\"Answer: -101412*h + 7737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2644)\/(-10) - 1*3\/(-5). Calculate the greatest common factor of i and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -86.\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -150, -229, -316, -417, -538, -685?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/198 and 73\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 4 - 17*l**2 - 12 to p*l + d*l**2 + v and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(302 + -316)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12979 is divided by 3242.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 x when four letters picked without replacement from {x: 8, g: 4, c: 2}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -38*x**3 - x**2 + 23. Suppose -6*h = -3 - 3. Let c(o) = o**3 + o**2 + 1. Let z(f) = h*w(f) + c(f). Find the first derivative of z(i) wrt i.\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.54 - -132.46. Let f = 121 - i. What is the third biggest value in -0.2, -1, f, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922876.\nAnswer: 2, 19, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2032087.83?\nAnswer: -2032091.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/9 + 3916*r**3\/9 + 284272*r**2 + 559436864*r\/9 + 1108671232\/9.\nAnswer: 2*(r + 2)*(r + 652)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3640386 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 443813 and 1735.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/24)\/(18\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {g: 4, k: 2, p: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 330281.2 kilometers in millimeters?\nAnswer: 330281200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.38 and 258816 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9 + (-41)\/(-3). Let k = -31165\/14 - -2224. What is the common denominator of 5\/f + (-5 - -8) and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 36) + 31 + (-2 - 16) + -19\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*q + 12 - 316, 2*w - 3*q = 572. What is the first derivative of -z**4 + w*z - 22 - 292*z wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose d = 4*w - 134, t*d - 43 = -w + 7*d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16281 + 3003 + 15486 = -175*k - 435*k for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 875595, 1751189, 2626783, 3502377?\nAnswer: 4377971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*n**3 - 3 + 1239*n**2 - 1 - 3254*n**2 - 26*n**3 + 2 to the form g*n**3 + r*n**2 + v*n + j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/13 - 686*s**3 - 1807060*s**2\/13 + 7371056*s\/13 = 0. What is s?\nAnswer: -4246, -217, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 115.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3)*(-2 + 3 + 1)*(2*d**2 - 6*d**2 + 2*d**2 + (-d - 2*d**2 + d)*(-2 - 8 + 18)) as o + x*d**2 + k*d and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {r: 11, z: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s. Let z be c(6). Let k(x) = -z + 0*x + x + 11. Determine k(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, -0.4, 1\/2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 357*o - 17*o.\nAnswer: -378*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t**2 + t**2)*(-2*t**3 - 3*t**3 + 9*t**3 + (4*t - 5*t + 0*t)*(-3*t**2 + 0*t**2 + t**2)).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 62. Let a be (0 + 3)*b\/(-30). Suppose 8*u - 476 = a*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 at least 290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4376 = 223*r - 4330 + 455 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19031.66 kilograms to milligrams.\nAnswer: 19031660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 - 8 - 20 + 1 - 10*n**2 - 21 as m + i*n + g*n**2 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164*f**3 - f - 18.\nAnswer: 984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401390 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 8*v + 16. Let y = 19 - 10. Let g be r(y). Suppose -2*i = g - 3. Let n(m) = 2*m**3 - 2*m + 1. Let k(x) = x**2 + x - 1. Give i*k(c) - n(c).\nAnswer: -2*c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1532*c - 1530*c = 4*f + 142, 0 = -3*c + 3*f + 108 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4828 + -4827. Let k = -1.9 - -2. Which is the nearest to x? (a) 1\/2 (b) -2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39\/4*b**3 - 3\/4*b**4 - 39\/4*b + 9 - 33\/4*b**2 = 0. What is b?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*u**4 - 396*u**3 - 334*u**2 + 200*u - 24.\nAnswer: 2*(u - 3)*(u + 1)*(9*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.43 + -1. Let m = 0.23 - g. What is the closest to -1 in 1\/3, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18470*g + 1458 = 18551*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4751250 (base 10) to base 7.\nAnswer: 55246020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 898, 1798, 2704, 3616, 4534?\n\"Answer: 3*r**2 + 891*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - -4 - (2 + 39)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49\/1*(-83 + 86). Solve 166*g = b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2374 - 0.0374. Put 2.3, f, -4 in descending order.\nAnswer: 2.3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410\/(-820)*38\/1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 74776*m - 1795207. Calculate p(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-36) + (-71)\/45)*5. Let f be 38*(7\/21)\/((-3)\/y). Find the third derivative of f*m**6 - 16*m**4 - 17*m**2 + 16*m**4 wrt m.\nAnswer: 4560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 11*v + 24 = 0. Suppose 0 = -v*t - 56660788 - 57739212. What is t rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 21*j - 3. Let c(s) = -3*s**2 - 14*s - 2. Let l = 21237 + -21242. Determine l*a(x) + 7*c(x).\nAnswer: -x**2 + 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -25974626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(441)*-2 - (sqrt(441)*1*-2 + sqrt(441)))\/((-3*sqrt(189))\/sqrt(3)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74506 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**4\/2 + 3*v**2\/2 + 10. What is the second derivative of a(n) wrt n?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 13*m**2 + 11*m + 20. What is c(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107315 and 676910?\nAnswer: 8799830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 2*d + 7. Let q be f(-5). Let u = q + -41. What is the remainder when u is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 142367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2707411 - 2041?\nAnswer: 2705350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*i**4 - 305*i**3 - 37320*i**2 wrt i?\nAnswer: 2208*i - 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 451 = -3*n, 135*n - 138*n + c = -475. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -b + 3, 5*b - 15 = c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -0.38. Let u = -0.22 - o. Let m = -4 - -3.6. Which is the nearest to 1? (a) 1 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 1. Let x be u(-2). Suppose 2*i = 4, -20*y + 4*i = -x*y + 14. Let g(h) be the second derivative of h**3\/3 + h**2\/2 + h. Give g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552 = -6*i + 534 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 64. Find the common denominator of (-145 + -1)*w\/2400 and 87\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - m - 5*v = 18, -5*v - 22 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 70*n**2 + 10*n - 79. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 229223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -25 - 8 - 21.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/5*q**4 - 99\/5*q**2 - 24*q**3 - 6*q - 3\/5.\nAnswer: -3*(q + 1)**2*(4*q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 2*c, 5*c = -3*q - q + 8. Let y(r) be the first derivative of 1\/2*r + 2 - 1\/6*r**3 + c*r**2. Factor y(z).\nAnswer: -(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12731.96 in 2\/3, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 102 - 587 + p + 103 + 103 + 185.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 2561667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21517, 43012, 64507?\n\"Answer: 21495*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 142945\/(-1) + -4 + 29. Round w to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 67674019742 - 67674019742.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.139 + -0.139. Let h = -5 - -2. Which is the biggest value? (a) 4 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*s + s - 6, 0 = -4*s - 3*o + 3. Determine c so that 2*c**2 - 30*c**s + 33*c**3 + c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3486 = 4*d + 2*g, -2*g - 1290 = -2*d + 450. Let x = d + -874. Let y = 60 + -38. Sort y, x, -5.\nAnswer: -5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b**3 - b - 1 + 38*b**2 + 29*b**2 + 0*b**3 - 73*b**2 in the form y*b**2 + p + m*b + a*b**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4e9 (base 16) to base 2\nAnswer: 10011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.6 - 11. Put w, 2\/7, 0.2 in decreasing order.\nAnswer: 2\/7, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 656, 1481, 2646, 4157, 6020, 8241, 10826?\nAnswer: 13781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883 - 1 = 204*s + 748 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/30 and 49\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 13, 36, 69, 112?\n\"Answer: 5*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*g + 50, r - 3*g = g - 15. Let a(w) be the first derivative of 2*w**2 - w**2 + 3 - r. Let h(q) = 2*q. Give h(a(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.7 + -12. Let n = u - -0.3. Let t = -0.1 + 0.2. Is n != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8674 or -8683?\nAnswer: -8674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.803 - -1.197. Let d = 0.5 + -0.51. Let l = 0.49 - d. Which is the closest to i? (a) 0.1 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 39, 5, -258\/1523 in descending order.\nAnswer: 39, 5, 2, -258\/1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n + 63. Let j be o(-8). What is the highest common divisor of 2175 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -186724*h**2. Let p(k) = -2*k. Give n(p(u)).\nAnswer: -746896*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373481920 to the power of 1\/2, to the nearest integer?\nAnswer: 19326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-4)*-7*152\/399*-4206 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270088?\nAnswer: 2, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742877, -1490620, -2238361, -2986100, -3733837, -4481572, -5229305?\nAnswer: -5977036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34798 and 3014.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 3*u - 15. Let f be 24\/14 + (1 - u\/7). Suppose w = 2*w. Solve w = 2*d - f - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/4 (b) 3 (c) 84 (d) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 139774977.\nAnswer: -1\/139774977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 1689, -0.4, 68, 3\/8, -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6786 - 6787 + 56*i + 37*i)*(-3 + 26*i + 3) to the form m*i + g + r*i**2 and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*1)\/(((-16)\/4)\/12). Suppose 0 = 4*p - 12, 0 = r + p + u - 6. Solve -h = -r*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:43 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38833 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/72 and 127\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 6 - (-23 - (-19 + 9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162028 divided by 4.\nAnswer: -40507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 293531 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272861739 to the nearest integer?\nAnswer: 16519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18002938, 36005866, 54008794?\n\"Answer: 18002928*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1598*i**2 + 143*i + 706. Let s be n(-6). Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3400\/80 + 6\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4647, 17098, 37853, 66912, 104275?\nAnswer: 149942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11245)\/24739*22\/(-18).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 429944982 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -308*s + 3. Let n be z(-11). Suppose -5*q + n = 1166. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34391521*s + 77345649?\nAnswer: 34391521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 208699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/16926020 and -143\/10680.\nAnswer: 101556120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.926 rounded to 1 dp?\nAnswer: 26.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6140 is divided by 231.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 7 = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/264)\/(27739\/332868).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -30*v**5 + 15113*v**4 - 86451*v**3 + 148054*v**2 - 73716*v + 5976 = 0?\nAnswer: 1\/10, 2\/3, 2, 3, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n + 2. Let k(v) = -6*v + 3. Let g(z) = z**2 + 6*z - 3. Let b be g(-6). Calculate b*h(q) + 2*k(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7134, 7845, 8556, 9267, 9978, 10689?\n\"Answer: 711*i + 6423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 162096738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(-1)*12\/(-153)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 16. Suppose 4*d - 6*d - 6 = 5*k, 2*k + x = d. What is the third derivative of -5*a**2 - 147*a**5 + 149*a**5 + 0*a**2 + d*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 362\/9 + 4\/(-18). Suppose -2*p = -3*u + 62, -p = u - 43 + 24. What is the highest common factor of u and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012100000100212 - 11?\nAnswer: -1012100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15*(-6)\/18 - 86\/(-16). Sort z, -2\/9, -2\/3, 2\/7 in descending order.\nAnswer: z, 2\/7, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-17))**(-2\/13))**(-3\/16) assuming m is positive.\nAnswer: m**(-51\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15318353 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18*r**3 - 3*r**2 - 3*r. Let i be s(-2). Let m = -326609\/51380 - 3\/7340. Calculate the common denominator of m and 2\/((-8)\/i) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 + 1273\/6. Let p = -11 + 7. Let j be (-74)\/(-112) + 2\/(-7). Put p, j, w in increasing order.\nAnswer: p, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*u - 36*u + 1212. Let g = 238 - u. What is the remainder when 225 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 4*y**2 + 3*y**2)*(3 - 3 + y) + 3*y**3 - 5*y**3 - 4*y**3 - 3*y**3 - 2 + 2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3269, 6684, 10397, 14558, 19317, 24824, 31229?\nAnswer: 38682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 14333.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4169*t**2 + 61*t - 131. What is the thousands digit of c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - 656?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3 - 9. Let q = -5 + 9. Sort -1, z, q.\nAnswer: z, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28667805 divided by 2?\nAnswer: 28667805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) - 757538\/203. Let o = -1210 + -4542. Let g = o - n. What is g rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 - 6*j - 3. Let d be i(5). Let v = d - -11. Suppose 0 = -v*m - m + 80. Solve 4*f - 4*u = u - m, 2*f = 2*u - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2664*b**4 - 32*b**3 + 1156*b - 473.\nAnswer: 31968*b**2 - 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -19, 2\/5, -0.74, -197, -4\/9?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 290078.35 rounded to the nearest 1000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 156169 in ascending order.\nAnswer: -5, 3, 156169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531621498 divided by -82.\nAnswer: 6483189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1912872208 to the nearest integer?\nAnswer: 43736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.456 less than -51.37?\nAnswer: -51.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7))**(-29)\/((c*c\/c**(1\/5)*c)\/(c**(-3\/5)*c)))**(1\/11) assuming c is positive.\nAnswer: c**(206\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.035 and -0.06.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 - 30\/26. Let l = -20 + 19.6. What is the biggest value in u, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -640, -921?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/55 and 6\/(-150)*-3*45\/(-66).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*l - 4, -4*f - 5*l - 1 = -6*f. Let t(u) = -4*u - 3. Calculate t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*n - 21, -8*m + 9*m + 3*n + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 8 = 2*l - 64, -4*q + 58615 = l + 58569 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 734806 divided by 1?\nAnswer: 734806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*h - 49, h = 5*q - 29 - 24. What is the remainder when 40 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 11*l + 5. Let o = 72 + -58. Suppose 0 = 2*j - 2 + o. Is 35 a factor of z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 1613*m**2 + 1071*m - 1583. What is x(-537)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 2*t - 111. Let v be z(0). Let s = -48 - v. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 19 + (-81 - -34 - -8) + 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -631600 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - 18*d + 24. Let v be n(3). Let y = 3 + 0. Suppose y*x = v*x - 9. Solve 16 = r + x*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534*o**4 - 4 + 11*o - 275*o**4 + 9 - 226*o**4 wrt o?\nAnswer: 396*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 456*z**5 + 4*z**2 - 452*z**5 - 1 - 3*z**2 + (-8*z - 5*z + 4*z)*(2*z**4 + 2*z**4 - 2*z**4).\nAnswer: -14*z**5 - 2*z**4 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*m*z**2 - g*z**3 + 253*g*z**2 - 2*m*z**3 - m + 73994*z**3 + 3003*z**2 wrt z?\nAnswer: -6*g - 12*m + 443964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -139. Let q be o\/(-5) - (-2)\/(-5). What is the second smallest value in q, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 270 = -m. Suppose 65 = -5*u - 5*k + k, 0 = 3*k + 15. Let b = u + 15. What is the greatest common divisor of m and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -9. Let w = 21 + o. Suppose w = m + 8. Solve f + i = 6*f - m, -3*f + 3*i = -18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 223814348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 11*y**2 + 187*y - 2638. Calculate the remainder when 382 is divided by n(13).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - 9*f**2 - 6*f + 13. Let p be z(6). Let q = p - 283. Solve 3 = 5*k - 0*k + 2*g, 4*g = 2*k + q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 30 + 215*m to the form i + z*m and give z.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 11*j - 73. Which is greater: -75 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.6186 and -3?\nAnswer: 25.6186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 3*p + 3, -4*p - 2*y + 6 = 0. Let j be 1*-2*(-5)\/2. Suppose 3*h - 30 = j*b - p, 30 = 3*h - b. What is the remainder when 29 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 g, and 1 h when four letters picked without replacement from gihhhgigigiihii.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 0)*4\/(-10). Suppose -4*s + 38 = 4*c - 2*s, 5*s - 23 = -2*c. Put m, c, -1 in descending order.\nAnswer: c, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8480.88 micrometers to millimeters.\nAnswer: 8.48088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -4 + 4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + 2*sqrt(7)*-2)**2*6 + 4 + ((sqrt(112) - ((-1 + sqrt(112)*-2)**2 + sqrt(112))) + 5)*3.\nAnswer: -48*sqrt(7) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001 (base 2) in base 14?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*x - 2*n, -5*n + 847 = 887 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -41. Let r be 9\/k*1 + 11\/2. Suppose y = -r, v + 0*y - 80 = 4*y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*h + 95*h + 5*h - 1 - 328*h as m + w*h and give w.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -74. Let b(o) = o**2 - 9*o + 12. Let t be b(8). Solve 2*d = -d - s, 2*c - 2*d - t = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173641798 and 3412.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*u**4 - 135*u**4 - 4*u + 13 - 221*u**4 + 97*u**4 + 4 wrt u?\nAnswer: -3924*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 45 = -v, 2*v = 2*c - 80. Find the common denominator of (-5)\/v + 820\/(-126)*-3 and -4\/149.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let q be v(6). Let x = q + 2. Let k(p) = 3*p**3 - 2*p**2 - 2*p - 4. Let h(f) = -f**3 + 1. What is x*k(d) - 4*h(d)?\nAnswer: d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l. Let b(o) be the third derivative of -11*o**4\/24 + 15*o**2 + 13. Calculate s(b(f)).\nAnswer: 110*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d + 33. Let i(x) = -x - 4. Let l(q) = -4*b(q) - 33*i(q). Let r(p) = 5*p. Determine l(r(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.3 + 44.3. Which is the second biggest value? (a) -3\/7 (b) -2\/19 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 23*k**2 + 368*k - 142. Is p(69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -20*j**2 + 19*j - 531. Let q(t) = -26*t**2 + 24*t - 708. Calculate -9*g(k) + 7*q(k).\nAnswer: -2*k**2 - 3*k - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aatattataaaat. Give prob of picking 2 a.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(-5 + (-95)\/(-15)). Let q = -0.2 + 0.4. Let r = 0.1 - q. Does r = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -n - 11, y + 5 - 13 = 2*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**4 + 1. Let d(o) = 41*o**4 - 2*o**2 - 6. Let i(j) = -10*b(j) - 2*d(j). What is the third derivative of i(k) wrt k?\nAnswer: -1728*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u)*(-4 + 2 + 8*u**4 - 4*u**4).\nAnswer: 8*u**5 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203585852 and 20.\nAnswer: 1017929260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 0) + (3 - 5). Let s(b) = b**2 + 10*b + 1. Let h be s(m). Suppose 2*j - 15 = -h. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x + 11*x + 6*x. Let m(y) = y + 8. Let u be m(-6). Let s(z) = 10*z**u - 3*z**2 - 6*z**2. What is s(d(l))?\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.16775697 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/8*(0 - -6). Suppose -1055 + z = -4*d. Is 3 a factor of d\/36 + 2\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -49*c + 30 + 222 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 49\/(-35))*(0 - 5)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.1 - -17. Let i = h - 2. Do i and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163312*5\nAnswer: -816560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 34 + 1. Let l(f) = -2*f - 8. Calculate the remainder when 17 is divided by l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*o**2 - 234*d**2 + 7*d*o**2 - 7*d - 3*o**2 wrt d?\nAnswer: -4*o**2 - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 + (-1 + 6 - -52 - 10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 2*v + 32 = 0, -19*n - 4*v + 45 = -26 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 6*k + (6 - 3 - 4)*(3*k + k - 2*k) - 3*k + 2*k - k)*(-6 + 6 - k**4).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.6 - 28.6. Let p = 8 - 5. Which is the closest to -2\/7? (a) p (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*f**4 - 231*f**4 + 2*f**3 + 0*f**3 - f**2 + 61*f**4 - 1 + 2*f + 69*f**4 to w*f + n*f**4 + h*f**2 + a + z*f**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.180158963.\nAnswer: 0.720635852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 4. Suppose -z*d + 3 = 15, 2*r + 4*d = -10. Calculate the smallest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 144. Calculate the remainder when i is divided by 2\/1*120\/16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 520 - 4*x - 520. What are the prime factors of d(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -26*s - 2*s**2 + s + 0 - 3 - 3. Give f(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2\/3, 1.\nAnswer: -2\/15, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -169\/4 and 13\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -34431525 bigger than -103294571\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4. Let l = 1.3 + -1.4. Which is the nearest to l? (a) q (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1756f5 (base 16) to base 9\nAnswer: 2781173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1761 - 1763.934. Let a = o - -0.034. Round a to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3289 and 315601.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 542*o**2 - 1083*o**2 + 541*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 200?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 222, 329?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t\/(t\/(t*t\/(t\/(t\/(t*t*t*t**3*t)))))))\/t)\/t)\/t**(-2))\/(t**(-2)\/(t**(-4)\/t)) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355454 (base 6) in base 8?\nAnswer: -227632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*f + 10721*f**2 + 68*f.\nAnswer: 10721*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.08502 to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/24 + 4*p**3\/3 + 160*p**2. Let o(r) = -2*r. Calculate h(o(z)).\nAnswer: -2*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Suppose 2*v - 9 = -s, 5*s - 27 = -2*v + v. Factor 0*h**s + h**5 + i*h**5.\nAnswer: h**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*u + 333*u = -400*u + 14506 + 18650 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210.9615 + -211. Round c to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-3)\/(-2))\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 839?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012144 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 + (-5073)\/(-712) + 8\/(-2) and -41\/1016.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17897485 to the nearest integer?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 6*s**2 - 503*s + 2018. Determine f(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r - 228. Let y(j) = -6*j. What is -u(a) + 3*y(a)?\nAnswer: a + 228","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 1 = 4*w. Let a = w - -11. Let i(l) = l**3 + a*l**3 + 3*l**2 - 4*l + l + 1. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 2*g + 2. Let y be i(-2). Let q(z) = -11*z - 5. Let k(l) = l + 1. What is y*k(p) - q(p)?\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -22. Let g be 4\/(-10) - (-20 + (-1320)\/(-75)). Sort 4, g, s, 6 in decreasing order.\nAnswer: 6, 4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092083 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106198261 is divided by 2673?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(30)\/sqrt(5)))\/(sqrt(4) - -5*(sqrt(4) + sqrt(16))) - (sqrt(704) + -4*(sqrt(704) - sqrt(704)*-2) + (0 + sqrt(704))*6 + 3)**2.\nAnswer: -17609 + 3841*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*n*r*s**2 - 18*n*r + 5*n*s - 25*r + s**2 wrt s.\nAnswer: -40*n*r*s + 5*n + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43499?\nAnswer: 43499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13720723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 4*f + 3. Let z be y(4). Solve 5*t = z*g + 2, 2*g - g - 4 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12811415 + 1495.\nAnswer: -12809920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.1161ug to nanograms.\nAnswer: 43116.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*w - z = 500*w + 6, -5*w - 5*z = -10. Solve 0 = q + j - w, -8*j = 3*q - 13*j - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j. Let o(i) = -9213424*i. Determine o(w(s)).\nAnswer: 27640272*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddttdtttdqddtqttt. What is prob of sequence td?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 13*l**2 - 9*l + 167. What is p(0)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((sqrt(180)*-2 - sqrt(180)) + -4 - sqrt(180))**2 + 3.\nAnswer: 768*sqrt(5) + 11585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 42. Suppose -14*n = -l*n - 1468. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 7650?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 165 = 3*c. Suppose 0 = -4*n + 885*w - 886*w + 19, -w + 1 = n. Calculate the greatest common factor of c and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7187.\nAnswer: 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 + 19748*s + 415590 = 0.\nAnswer: -21, 9895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1503 and 720.\nAnswer: 120240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221303 - -10?\nAnswer: -221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 232709287 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1886886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328446 (base 9) to base 14.\nAnswer: 51855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-9) - (-6)\/2. Which is the nearest to -2\/5? (a) 2 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:52 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(162) - (0 + 1*sqrt(162))) + (-2*(sqrt(162)*-2 + sqrt(162))**2 - sqrt(162)) + sqrt(162) + -3).\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 342*o + 182*o + 160*o.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 + 132*m**4 + 2176*m**3 - 132*m**2 - 2178*m = 0. Calculate m.\nAnswer: -33, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15136242 and 6636.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**3 - 39*x**3 - 6*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 22. Let k = 27 - o. Suppose 2*f + 53 = 137. Calculate the greatest common factor of f and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.055\nAnswer: 0.00385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 20105277.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -309226 smaller than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38406*a**4 - 193998 wrt a?\nAnswer: -153624*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107316 and 726?\nAnswer: 1180476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 246ab - 0?\nAnswer: 246ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**3 + 45*f**2 - 6*f + 12. Let x(n) = -23*n**3 - 134*n**2 + 17*n - 34. Determine -17*p(r) - 6*x(r).\nAnswer: 2*r**3 + 39*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 14*u**4\/5 - 401952*u**3\/5 - 11320366*u**2\/5 - 80468808*u\/5 - 11265688\/5 = 0.\nAnswer: -14, -1\/7, 28739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.15 - 1.85. What is the closest to 1 in -0.2, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from txt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) + (-448)\/(-42) + -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/252 and -31\/3?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10. Calculate the remainder when u\/(-3) + (-253)\/(-33) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34503 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w + 3. Let c be 93\/7 + w\/21. Calculate the greatest common divisor of c and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*c = -2*f + 403, -3*c = 4*f - 1637. What is the highest common factor of f and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-791)\/(-339) + (-3)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14579 - -0.3105.\nAnswer: 14579.3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83611680 and 150501024?\nAnswer: 752505120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -134*r. Let o(i) = 2*i. Determine n(o(m)).\nAnswer: -268*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 3. Let b(d) = -d + 0 - 4 + 6. Let g(w) = 3*b(w) + 2*f(w). Let u(o) = -2*o**2 + 6*o + 1. Calculate -4*g(x) - u(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 21486 = -2*l - 47131, -4*l + 54888 = 4*y. Is y a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.95 + -37. What is the closest to 1 in t, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 + 0*g**2)*(3*g**3 + 2*g**3 - g**3) + 23*g**5 + 110 - 110.\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 2*a**2 + 5*a + 2. Let z(c) = 2*c**3 + 7*c**2 - 16*c - 7. Let i(q) = 7*p(q) + 2*z(q). Factor i(w).\nAnswer: -3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0.3, 42, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (111 - 1) + -1. Let w = -51 + 64. Suppose -3 = q - w. What is the highest common factor of q and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.2 (c) -6\/41 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, c: 3}. What is prob of picking 2 c and 1 h?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -242515.\nAnswer: 242519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*q**6 - q**3*t + q**2*t - 22*q*t - 10*t - 2 wrt q.\nAnswer: -18360*q**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y**2 + 4*y**2 - y**2.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -22. Let l be -8*(0 - (-6)\/m). What is the greatest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*b - b - 3*x, 7 = 4*b - 5*x. Suppose b*d - 45 - 9 = 0. Suppose 0 = d*i - 6*i - 780. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:29 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-3 + (15 - 5 - 10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 254 in 3\/17, 0.9, -18?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -512*n*r**3 + 4*r**3 - 63*r wrt n?\nAnswer: -512*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 42, -2, 2, 38, -182.\nAnswer: -182, -5, -4, -2, 2, 38, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17876*t**3 + 166 - 88 - 78.\nAnswer: 17876*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18913459 by 16.\nAnswer: 18913459\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.5 + -1.5. Let w = b - -3. Let t = -5 - w. What is the closest to 1 in 2\/9, -3\/8, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34268252006792 + 1\nAnswer: -34268252006791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18600.9 decades to months.\nAnswer: 2232108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 5 (c) -0.2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7622 (base 8) to base 13\nAnswer: -1a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, h: 6}. What is prob of sequence hhhv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -2\/19, 4, 189\/4, 3\/5 in decreasing order.\nAnswer: 189\/4, 4, 3\/5, -2\/19, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000*v - 3344*v - 776 - 7288 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + 0.08. Let r = -4.95 + z. Which is the smallest value? (a) r (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 + -273. Suppose -4*w = -3*w + 2. Sort -0.4, w, d in increasing order.\nAnswer: w, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -860, -1922, -3408, -5318, -7652?\nAnswer: -10410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = -2*c - 0*c, c - 6 = 3*s. Suppose 5*w + 984062 + 1265938 = c. Round w to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k + 2*k + 14)*(-3 - 2 + 4) - 4*k + 3*k + 0*k.\nAnswer: -5*k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 146410 (base 13) in base 10?\nAnswer: 499408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12919 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001088930724 to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 4, 5588, 1 in decreasing order.\nAnswer: 5588, 4, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 4*p + 2. Let t be d(4). Find the second derivative of -b - 3*b + 3*b - t*b**5 + 0*b**5 wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1116 and 199\/81303390?\nAnswer: 162606780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2\/2 - 3*m + 3. Let x(v) = -4 - 2*v + 0*v + v. Calculate 4*k(w) - 3*x(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 - 74135126*y + 74135126*y.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 1 = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420967?\nAnswer: 420967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) + 2*sqrt(119) - sqrt(119))*6 - sqrt(119))\/(sqrt(343) + 1*sqrt(343) + sqrt(7)))**2.\nAnswer: 2057\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ppooohpuhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b - 210 = 0. Let t = b - -74. Sort 12, -4, t.\nAnswer: -4, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(18\/(-8) + 2). Let h be 6\/f + (-50)\/(-24). Let y = -4 - -2. Which is the second biggest value? (a) y (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.31763 nanograms to kilograms.\nAnswer: 0.00000000008031763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -7. Let k = 3 - c. List the prime factors of 3\/k - (-31)\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let l(i) = -20*i**2 - 37*i + 686. Determine l(w(s)).\nAnswer: -20*s**2 - 37*s + 686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.793 + -0.2?\nAnswer: 6.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636773 <= 2636776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1512 + -10586\/7. What is the smallest value in u, 0.37, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 3*u**3 - 4*u**3)*(-2*u + 3*u - 10*u).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 3*f + 9 + 0*f + 8*f - f**3. Let x be o(-4). Differentiate 5 + 13*i**3 - x - 1 wrt i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.3, 4, 3, 2176\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 3*o - 5*o**2 + 2*o**3 + 7*o**2 - 5*o**3 to m*o**2 + q + w*o + s*o**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2405 - 2405. Factor x*s - s**2 - 3\/7*s**3 + 4\/7.\nAnswer: -(s + 1)*(s + 2)*(3*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 18. Suppose -6*f + x*f = -3. Let i(h) = 4*h**3 - h**2 + h. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 39601032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3233*x**3 - 967*x**3 - 2271*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 386534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m - 2*m**2 - 2*m**2 - 11*m - 26*m**3 + 6*m**2 as x*m**2 + g + d*m**3 + i*m and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 385*a - 18506. Calculate r(98).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16\/5 + 37\/10. Let q = 56 - 52. Which is the nearest to f? (a) -1\/5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a + 3 + 1\/2*a**2. Calculate l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.3 and -9097?\nAnswer: 9071.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or -20042?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -971 divided by -20?\nAnswer: 971\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -434, -651, -868, -1085, -1302?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4619*o**3 + o**2 - o**2 + 9384*o**3 - 4653*o**3.\nAnswer: 112*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 4 + -2*-5*(sqrt(2299) + -1)*-4))**2.\nAnswer: -324720*sqrt(19) + 33120729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (4 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 7*h - 4*h + (-4 + 0 + 2)*(-3 + 3*h + 7*h + 1).\nAnswer: -18*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 5. Let g(t) = -t. Let h(v) = v**3 - 4*v**2 - 9*v - 27. Let m be h(7). Suppose m = -14*f + 71. What is f*r(j) + 5*g(j)?\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -f - 4*u + 14 + 7, -7*u - 81 = -34*f + 29*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q**2 + 4*q)*(134915*q**2 - 17*q**3 - 134915*q**2 - 5*q).\nAnswer: -34*q**5 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2059633*a*x**2 + 13399292*a*x wrt x.\nAnswer: -4119266*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1160 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -18*b**2 - 63*b + 121. What is w(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -1\/4, 0.4, -0.5, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/75)\/(17*70\/2975))\/((-10)\/18).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8452965 divided by -565\nAnswer: 14961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*d - 10, -4*d = -4*r - r - 46. Suppose k + 15 = 6*k. Let c = k - r. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/48*-6)\/((-1)\/14). Let r(m) = m**2 + 8*m + 12. Let z be r(n). Let x(d) = z + 1 + d + 0*d + 2*d. What is x(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 813 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2.15, 2\/7, 24.7?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + r = -2538 - 1617, -2*x + 2*r - 2778 = 0. Let u = x + 1391. Solve 7\/9*j**3 - 1\/9*j**u - 2\/9*j**4 + 0 - 4\/9*j**2 + 0*j = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -102, -119, -158, -225, -326, -467, -654?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 511 - 38*m**5 - 511 - 3*m**5 + 4*m**5 - 3*m**5 + m**5 - 2*m**5 + 0*m**5 + (4 - 4 - 1)*(-3*m**5 + 2*m**5 + 2*m**5) + (m - m + 2*m**4)*(-1 + 1 - 2*m).\nAnswer: -46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 127211\/140 + 8\/(-32). Let z = -908 + n. Solve -z*w**2 + 4\/5 - 2\/5*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 of a week in minutes?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -3 + 4 + 11 + -24 - -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 3 + 3)*(4*k - 4*k + 2*k**2) + k**4 + k**4 - 4*k**4 - 38*k**4 + 14*k - 14*k.\nAnswer: -42*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 37 = 4*t, -4 = 2*w - 0*w - 2*t. Let l be (w\/10)\/(20\/8). What is the smallest value in -3, l, -2\/7, 2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + k - 4 = 0, -s + 4*k - k - 12 = 0. Suppose -5*d = 0, 4*u + 11*d - 8 = 7*d. Suppose o = 5 - u. Solve -5*a - 4*l = -37, s = 2*l - l - o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - u + 220. Let t = u - -47. Suppose -6*p + 29 = -t. Solve -5*y + 2*y - p = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*k + 3*k + 11566 + 435181 = 0. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 + 2)) + (-30)\/70*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -491 + 491. Let a(h) be the third derivative of -h**3 + 0*h**5 + 3*h**2 + 1\/30*h**7 + d*h**6 + 0 + 0*h**4 + 0*h. What is the derivative of a(r) wrt r?\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521 - 705. Let k = q + 1095. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42725087, -42725085, -42725083, -42725081, -42725079, -42725077?\nAnswer: -42725075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:47 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17288 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10) + (-252)\/10. Let m = -15 - a. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 60*h - 486. Calculate i(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1613*t - 3373. Is h(12) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/60*(-3)\/(6\/4). Let c(s) = -s + 1. Let m(k) = -164*k - 132. Let i(x) = l*m(x) + 16*c(x). What is the first derivative of i(n) wrt n?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/3 + 47\/12. Let p = 3048 - 63950\/21. Calculate the common denominator of p and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -6*w + w + 170, 3*w - 98 = -2*p. Let a(b) = 2*b + 1. Let m be a(-1). Find the common denominator of (3\/w)\/(m\/7) and 53\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 1, u: 2, k: 1}. What is prob of picking 2 u and 1 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 2*i - 12. Let b be c(0). Let d be (-2 - 5\/(-3))*b. Suppose -4*w - d*w + 528 = 0. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*b + 18042 - 18053, 3*b - 6 = -3*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one eighths of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*p + 15*p + 115 = -116 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -50. Calculate the least common multiple of k and (-3)\/1 + 2 - -7.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57415868 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - o**2 - 3*o + 17. What is z(3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 181?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 4. Let w be m(-4). Let x be (-1 + 12\/8)*w. Suppose -3*q + 5*q - 4 = x. Solve 4*b = 8, -7*b + q*b + 11 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.0051ug in kilograms?\nAnswer: 0.0000000300051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8 and 59\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120314 is divided by 941.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/3, 6, -86 in decreasing order.\nAnswer: 7, 6, -2\/3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1341169*v**3 - 17610*v + 2 wrt v.\nAnswer: 8047014*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -35. Calculate the common denominator of (-5704)\/240 + v\/(10\/4) and (-6)\/(-20)*(-620)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1399 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-8)*(p*p*p*p**1*p*p)**(-12) assuming p is positive.\nAnswer: p**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 - -160. What is the derivative of -76*g**2 + 16*g**2 + v + 9*g**2 wrt g?\nAnswer: -102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from qjjq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 15*u**2 + u + 6. Let r be j(15). Suppose -2*c - g = -3, -c - 7 + r = 3*g. Round c to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74556.11l to millilitres.\nAnswer: 74556110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 46018.61 years?\nAnswer: 46.01861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(720) - (sqrt(720) + -5)) + -5 + 4 + (sqrt(180)*-1)**2.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 59 + 13 = 2*v, 61 = 3*k - v. Suppose 7 = -2*y + k. Calculate the smallest common multiple of y and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*q - 131*q + 393*q - 126*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - 0) + (536 - 503).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.38*3.5\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 - 69*t**3 + 1449*t**2 - 4035*t - 5550 = 0.\nAnswer: -37, -1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*q = -5*h - 148*q + 43229, 0 = -4*h - 14*q + 34652. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*2\/6)\/((-7)\/(-77)). Let h = l + -5. Suppose -4*i + 2 = -h*i. Which is smaller: 2\/37 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f - 1 + 1 + (-1 - 1 + 4)*(6*f + 1396 - 1396).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120*k**3 + 108271*k - 79620941?\nAnswer: -360*k**2 + 108271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 265*u**2 + 10074*u + 1. Give w(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3963 - 3728. Calculate the remainder when h is divided by 125.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8))**(-2\/41) assuming z is positive.\nAnswer: z**(-18\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 10) in base 14?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/11716 and -71\/2424?\nAnswer: 70296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 3*v**3 - 4*v**3)*(-2 + 0 + 1)*(3 + 16 - 14)*(-21 + 21 + 32).\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + -5 + 5 + 9 + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 + 289*y - 78. Let n be a(41). Let s = 9 + -3. Let r be ((-2)\/((-28)\/s))\/1. What is the biggest value in 4\/7, r, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 94, -362 in ascending order.\nAnswer: -362, -1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 167a37 + 195?\nAnswer: 167bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1113 in -0.3, 3, -58, 1\/3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 9:02 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19928082169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:20 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 2*z**2 - 7*z - 1. Let b(h) = h**3 - 5*h**2 + 6*h - 4. Let c be b(2). Let w be j(c). Sort -15, 2, w in descending order.\nAnswer: 2, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 - -523. Let b(l) = -161*l + 15. Let x be b(0). What is the highest common divisor of h and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 - (0 + -5 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -30*a - 6. Let s be y(-3). Let f be (54\/21)\/(9\/s). Suppose -l + 2*l = f. What is the highest common factor of 192 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 743 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 = -3*t, -22*r + 20 = -5*t - 17*r. Let j(z) = 9*z**2 + 3*z - 6. Let w be j(t). Solve -2*l + 4 + 7 = -c, w = 5*l + c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15461*w + 15544*w - 836 - 1239 = 0 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(15)\/sqrt(3)))\/(-4*sqrt(90)) - 1*(2 + (sqrt(500) + 1 + sqrt(500))**2).\nAnswer: -2003 - 481*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.21, 5, -6, -2\/7?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, -0.2, 2\/81, 0.01, -1\/25.\nAnswer: -0.2, -1\/25, 0.01, 2\/81, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + a = -1678, -2*i = i - 5*a + 1018. Let s be (-1*1)\/(8\/i). Suppose 0 = -2*c - 5*c + s. Solve 4*f - 12 = -5*j, -5*f + c = -3*j - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z. Let r(x) = -19*x**2 + 10*x. Determine v(r(s)).\nAnswer: -76*s**2 + 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*t - w + 7, -w = -1. Let l(i) = 60*i. Let z be l(t). Let o = -9 + 24. What is the highest common divisor of z and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 315\/464 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-30)\/3))\/((-1050)\/48300).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 52 + 426 = 10*s, -3*s - 2*d + 156 = 0. Suppose -5*b - 540 = 4*h - 1726, 4*h - 4*b - 1204 = 0. Calculate the highest common factor of s and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52625, -105254, -157883, -210512, -263141?\n\"Answer: -52629*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 75\/14*t**2 - 12\/7*t**3 - 1\/28*t**4 + 28 + t. Factor f(d).\nAnswer: -3*(d - 1)*(d + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*d + 25. Let q be (28\/d)\/((-2)\/30). Suppose -7*l + q = -2*l. Which is smaller: l or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364517 (base 8) to base 16\nAnswer: -1e94f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1676738286 - 5?\nAnswer: 1676738281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-145)\/(-10))\/(3\/66) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let y = -2 - -5. Let d = 0.2881 - -0.0119. What is the closest to r in 1, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9954 + 0.0046. Sort l, -1\/6, 0.4, -102 in decreasing order.\nAnswer: l, 0.4, -1\/6, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/10)\/(1\/5). Suppose -2*x + q*x = 0. Suppose -4*v + 5*v + 4 = x. Which is the third biggest value? (a) v (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3*d - 2, -5*d = -3*p - 314 + 329 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-22) - 1\/(143\/26). Which is the closest to q? (a) 3 (b) 1 (c) -2\/15 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 + 2*b - 1. Let l be p(-2). Suppose -2 + 162 = 5*t. Let o = t - l. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3116296, 3116310, 3116334, 3116374, 3116436, 3116526, 3116650?\nAnswer: 3116814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + z + 1. Let a(q) = -3*q**3 - 4*q**2 + 6*q + 6. Let x = -82 - -81. Determine x*a(p) + 6*m(p).\nAnswer: 3*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 213928 divided by -180?\nAnswer: -53482\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 3, z: 2, r: 2}. What is prob of picking 2 x and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)\/w)**11)**(-2\/77)\/((w**(-1)*w)**7\/(w**(-2\/5))**27) assuming w is positive.\nAnswer: w**(-1114\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 32*b + 18200. List the prime factors of i(0).\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)*o\/(o\/(o\/(o*(o\/o**(-1\/18))\/o)))*(o**1)**39 assuming o is positive.\nAnswer: o**(725\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -7. Let z(n) = -2*n**3 - 8*n**2 + 4*n. Let i(v) = -5*v**3 - 16*v**2 + 7*v. Let q(r) = -3*i(r) + 7*z(r). Let m be q(k). Solve m*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (119016\/855)\/(2\/15). Calculate the greatest common factor of q and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + 68 - 195 + 31 + (-1 - 2 + 1)*(0 + 1 - 2))*(6*o - 9*o - 3*o).\nAnswer: 576*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2625, -3 in increasing order.\nAnswer: -2625, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**3 - 2*a**3 + 5*a**3)*(-19 + 42 + 8 + 75) to the form o*a + r*a**2 + i + m*a**3 and give m.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 - -22.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**2 + 635*a - 1800.\nAnswer: 5*(a + 45)*(3*a - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:21 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g**3 - g**2 - 382. Let a(b) = -9*b**3 - 381. Let l(x) = 5*a(x) - 4*w(x). What is the derivative of l(n) wrt n?\nAnswer: 21*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 6494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4090163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 8. Let j be q(0). What is the lowest common multiple of 3 and (-4)\/j + (-111)\/(-6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - s = 0, -29*s = -5*j - 25*s. Put -2, -11, j, -3 in increasing order.\nAnswer: -11, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597081.4mg in tonnes?\nAnswer: 0.0005970814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921631050 a multiple of 1246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*k - 1403*k = 1154*k - 837*k + 66700 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 6496.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3548*g - 1587.\nAnswer: 3548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 5666*t - 195846768\/7.\nAnswer: -2*(t - 10543)*(t - 9288)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 14.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 3*z + 2. Let t be g(1). Is 639\/(-6)*(-14)\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/234)\/((-1 - 5)*407\/99)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {g: 6, f: 1, r: 2, x: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266.93 + 267. What is the second smallest value in 2\/41, -4, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2824 or 4924?\nAnswer: 4924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 81982324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14037 or -14038?\nAnswer: -14038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 2, a: 2}. What is prob of sequence gy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23886 + 15686. Round i to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {t: 5, g: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 83*v**2 - 188*v - 754. Calculate g(-85).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is -21155 greater than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s + 4\/21*s**3 + 0 - 132*s**2 + 11\/735*s**7 - 1\/14*s**5 - 2\/21*s**4 + 23\/420*s**6 - 5\/392*s**8. Solve l(r) = 0 for r.\nAnswer: -1, -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 5*j - 6*j**4)*(40 + 8 + 113)*(-2 + 2 + 1) as y*j**2 + o*j + a*j**3 + v + u*j**4 and give u.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 25*b - 70.\nAnswer: 5*(b - 7)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + (4 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -163*a + 146. Is 9 a factor of v(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (266\/(-268))\/(-19)*40\/70?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 227004*s + 11. Let y be w(-3). Let o be y*4\/(-12) - (-1)\/(-3). Round o to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 1)**2*-5.\nAnswer: -2130 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 0*g**2 + 0*g**3 - 1\/2*g**5 + 0 + 5\/2*g**4 = 0 for g.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 15*u + 24. Let z be x(6). What is the second derivative of -20*q + 28*q + 22*q**3 + z*q wrt q?\nAnswer: 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 133 - 133.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 109821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = 4. Suppose d*u + 13 = -5*j, -7*j + 2*j + 2*u + 3 = 0. What is the closest to 1\/3 in -2, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-88) + 1\/(-2). What is the nearest to 1\/3 in f, -3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95660496 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069810821.\nAnswer: 3, 83, 227, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let j(p) = 689*p**2. Calculate n(j(f)).\nAnswer: -1378*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102119052 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 46*v**2 + 267*v - 1082. Let q be r(40). Let s be -4*(2 - 35\/18). Let j = -14 + 9. What is the closest to 6\/5 in q, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(832))*-2.\nAnswer: -16*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -q - 3*q + 3412, b + 4*q - 1132 = 0. Calculate the remainder when 147 is divided by b\/(-75)*(-10)\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Suppose 3*w + 3*b - 19 = 8, z = -5*w + 5*b + 95. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 - 15*y**3 - 66*y**2 + 348*y - 360 = 0. What is y?\nAnswer: -5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -913453*h**3 + 19202*h - 8 wrt h.\nAnswer: -5480718*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2868*s*t**4 - 26644*s*t**3 - 3458*s*t**2 - 17*s*t + 3*s - 2*t**2 + 4*t - 3 wrt t?\nAnswer: 68832*s*t - 159864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 8*z + 8. Let d(g) = 4*g**2 + 25*g - 25. Let u(j) = 2*d(j) + 7*y(j). Determine u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 952180 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*a + 2*h = 12, -a = h - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20476692 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) - (-700)\/30. What is the remainder when 42 is divided by (-3)\/4 + 546\/x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 6d7?\nAnswer: -6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((-22 - -46) + -27 - -11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, 0, -6, -5 in descending order.\nAnswer: 0, -3, -5, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2394.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1032, 2067, 3076, 4047, 4968, 5827, 6612, 7311?\nAnswer: 7912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 157*o**3 + 6*o**2 + 18*o + 83. Let x(z) = -472*z**3 - 17*z**2 - 51*z - 249. Let l(h) = -17*r(h) - 6*x(h). Find the first derivative of l(k) wrt k.\nAnswer: 489*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 487502347450 - 62.\nAnswer: 487502347388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 - 206 + 49 - 1538*b to p + w*b and give w.\nAnswer: -1538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 14*y**2 - 10*y + 41. List the prime factors of m(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.54 - 0.8. Let g = 0.74000081 - u. What is g rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153719750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*q - 35 = 0, 0 = -2*q + 7 + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6519 - 6524. Let c = -12.3 + 11. Let m = -0.7 + c. What is the smallest value in x, 8\/7, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -25. Let w(l) = -l + 1. Let y(m) = 81*m + 1538. Let n be y(-19). Determine n*x(f) - w(f).\nAnswer: f + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*0\/((-6)\/(-6)))\/(1\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 80.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/(-812))\/(11\/(-7)*(-2)\/(-2)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5 - 2*g**4 + 19*g**3 + 8*g**2 - 60*g = 0.\nAnswer: -5, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (9 - 3 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65) - sqrt(65))*-4)\/(-1*sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 9.4908\nAnswer: -4.7454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236 and 36?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2582067, 2582066, 2582063, 2582058?\nAnswer: 2582051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17805.91 micrometers in nanometers?\nAnswer: 17805910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136034025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1257*g + 16374. Calculate the remainder when s(-13) is divided by 8\/(-6)*(-54)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -18*j**2 + 15*j + 15. Let b(z) = -z**2 + z + 1. Let u(w) = -15*b(w) + p(w). Let q(r) = r. Determine q(u(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 3*b - 16. Let c(v) = 7*v**2 + 7*v - 33. Let x(t) = -2*c(t) + 5*f(t). Determine x(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*y**4 - y**3 - 427*y**2 + 14*y - 2986645 wrt y?\nAnswer: -48*y**3 - 3*y**2 - 854*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.999206 - 72. Round f to five decimal places.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a377 (base 11) to base 10\nAnswer: 116244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 10288, -1 in descending order.\nAnswer: 10288, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 - 6*j**3 + 35*j**2\/2 + 6*j - 18 = 0. Calculate j.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 10 + 318 = 5*q, -5*h - 2*q = -209. Calculate the remainder when 168 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/((21780\/(-22464))\/121*(-4)\/(-10))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4162\/9 + -20507\/45. Let z = 527\/78 + -11\/26. Let j = z - p. Which is the nearest to -1? (a) -0.1 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5 - q**2 - q**3 + 5*q + 2*q**3 + 7*q**2. Let c be i(-5). Let m = -2 + c. Solve p + 2*j + 2 = m, -p - j - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -5*h + 453255*d - 453256*d, -34*h = -3*d - 81 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 22. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -2, 13, 5, -5 in ascending order.\nAnswer: -18, -5, -2, -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 505656391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 14*a + 4*a. Let n be (-1)\/(1\/1) + -2. Let c be n\/7*(-4)\/6. Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 393*b**4*j + b**3 + j + 615 with respect to b.\nAnswer: 1572*b**3*j + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (sqrt(325) + (sqrt(325)*1 - sqrt(325)) - sqrt(325)) + 4 + sqrt(325) + 2 + 2 + (sqrt(4212)*-1)\/sqrt(4))**2.\nAnswer: 16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*f + 12*f + 15*f - 155 in the form r*f + y and give y.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*n**2 + 306*n**3 - 293*n**3 - 3*n**2 wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183589 take away -1107?\nAnswer: -182482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 83. Let a = m + -7. Let j(v) = -2*v**2 + 21*v + 10. Let f be j(a). What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000572 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 2*k + 3*b - 65 = 4*k, b - 25 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + (-7)\/(-3)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 0, -41 in decreasing order.\nAnswer: 21, 4, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o. Let n(v) = -45*v**3 + 36*v. Give -3*n(i) - 108*x(i).\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218*k**5 - 2*k**4 - 40*k**3 + 7*k**2 - 15*k + 3.\nAnswer: 13080*k**2 - 48*k - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 29, 41, 49?\n\"Answer: -2*b**2 + 22*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 25\/272, 1.8, 1 in increasing order.\nAnswer: -4, 25\/272, 1, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24590 and 54098.\nAnswer: 270490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4530 and 10570?\nAnswer: 31710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -401?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 8. Determine p(16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaapaaapaaaaapaa.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(-1\/2))\/k)*k**6)\/(k**0*k**(-1)*k))\/(k**(-2\/7)\/k**3*k\/k**(-1)*k**(-3\/5)) assuming k is positive.\nAnswer: k**(587\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiyiyiyyyiyyiy. What is prob of picking 3 y?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**4 + 52995*w**3 - 383388*w**2 - 859809*w + 238086 = 0.\nAnswer: -2, 1\/4, 9, 4409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 9 = 16*k. Suppose -3*m + 19 = z, -m = -0*z - 2*z + k. Let y be ((-6)\/(-10))\/(z\/40). Sort -3, 0, y.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = 65. Suppose -15*l = -c*l + 10. Solve 24 - 9 = -l*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/3 + 9*n**2\/2 - 8*n - 8. Let c be s(7). Solve 0 = -5*h + 1 - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2320355\nAnswer: -11601775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + (-1)\/(-1)*-2. Suppose -4*m + 3*a + 13 = 2*a, -5*a = -m + v. Solve 0 = m*d - 0*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**5)\/v*v*v*v*v**(-3)*v)\/((v*v*(v*v*v*v*v**(-1)\/v)\/v)\/v)**(-13\/5))**(2\/43) assuming v is positive.\nAnswer: v**(122\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -235*s**3 - 10*s**2 - 14*s + 9. Calculate v(-2).\nAnswer: 1877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 + 71 + 87*d + (-2*d + d + 0*d)*(-3 - 2 + 4) + 0*d + 4*d - 2*d - 2*d - 2 + 2 + (d + 0 + 0)*(-2 - 1 + 1).\nAnswer: 86*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.173, 0.2, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 689013*s**3 + 1107840.\nAnswer: 2067039*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196371541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16716 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 1900*h**2 - 27942*h + 100980.\nAnswer: -2*(h - 3)*(h + 18)*(h + 935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -253\/26699 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1600526736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 2*z**7\/15 - 43*z**6\/30 + 27*z**5\/5 - 15*z**4\/2 + 7*z**2 + 74*z. What is u in g(u) = 0?\nAnswer: 0, 1, 15\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -370296422.3?\nAnswer: 370296421.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/6 - s**3\/6 - s. Let y be x(-1). Let u(a) = -5*a**2 - a. Let l be u(y). Let t(j) = -j**2 - 5*j - 1. Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-246)\/(-41) + (-2)\/(-1). Solve 4*m = 16, 12 = y + 5*m - v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 79.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94988, -189615, -283878, -377777?\n\"Answer: 182*n**2 - 95173*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10560*f**2 - 15*f + 31.\nAnswer: -21120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489515593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22326 (base 7) in base 3?\nAnswer: -21202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/273*-7)\/((-1)\/2*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.86 - -38.4. Let s = p - 3.84. Suppose -3*a = -2*k - a - 6, 3*a = 2*k + 10. What is the closest to 0.08 in 2\/5, k, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - 9*k - 5. Let x be a(5). Find the second derivative of -26*l**3 + 3*l**3 + 106*l + x*l**3 wrt l.\nAnswer: 462*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77644 is divided by 3529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 + 67289*x - 293 - 5*x**2 - 67284*x.\nAnswer: -5*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**4\/17 - 62*z**3\/17 - 142*z**2\/17 - 2*z\/17 + 84\/17 = 0.\nAnswer: -7, -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(700)) - sqrt(700).\nAnswer: -30*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -12 (c) -1\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*y - 1167238 + 1180771 = 0 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46109 and 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*r**3 + 263*r**3 + 0 - 532*r**3 + 1 + 31*r**2.\nAnswer: 2*r**3 + 31*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 - 2275588*h**2\/3 + 215767840680*h - 3020601099600 = 0 for h.\nAnswer: 14, 568890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*z + 6, 3*l + 7*z = 7 + 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3\/2, -4, 2, -1\/25 in descending order.\nAnswer: 6, 2, -1\/25, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31858115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1266520313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 + 6)*(4*h**3 - 4*h**3 + h**3).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = 10. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 1.71?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13283 and 9856.\nAnswer: 130917248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 13 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from {v: 3, p: 5, i: 8, q: 2, a: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x - 0. Let j = 3 - -1. Let l(t) = 5 + x - t - j. Determine l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -8. Suppose 0 = -4*f + o + 20. Suppose 4*g + f = -16. Let w(h) = 4*h - 1. Let s(j) = -5*j + 1. Calculate g*s(u) - 7*w(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 6) to base 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-235)\/10 - (-44)\/(-88).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924945 divided by -1915?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -2\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 + 2*l - 2. What is q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/1092 + (-21)\/(-98)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29737 - -29735.93989. Let x = p + 1.06. Round x to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*q + 184 = 323 + 93 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -767\/2, 2, -4?\nAnswer: -767\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 589\/4, 0.168, 0.5?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*t, -4*k + 4*t = -3*k + 12. Let f(v) = -6*v + 31. Let q be f(k). Suppose -q*m + 3*m = 73200000. Round m to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 18*u**2 + 2*u. Let g be i(3). Calculate the highest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1242479 and -45\/60881471?\nAnswer: 60881471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2911 + 2897. Which is the second smallest value? (a) 5\/4 (b) 0.5 (c) 3\/5 (d) -0.1 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -111, -113, -113, -111?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 0. Sort 4, -1, z, -4 in descending order.\nAnswer: 4, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1730 by 5.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l + 9. Let f(t) = -5*t - 4. Let y(m) = 13*f(m) + 6*n(m). Let r be 0 + 2\/4*0. Suppose r*d = 4*d - 16. Give y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469895885.\nAnswer: 3, 5, 29, 1126357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = 72*j - 819 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*t - 32*t - 2*t**4)*(7*t - 2*t - 3*t)*(5 - 26 - 5).\nAnswer: 104*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 58 - 25 - 33 + 0*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from xaax?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 2)*(-32 + 6*u**2 + 32) + 0*u**2 - u**2 + 0*u**2)*(6 + 5 - 7)*(1 - 2 - 5).\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 18*z**2 - 26*z + 14. What is the hundreds digit of u(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnu when four letters picked without replacement from nnqnnnnnnnnununnu.\nAnswer: 429\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 255 - 256 = -4*k, k + 3*y + 3 = 0. Let p(u) be the first derivative of k*u**2 + u**4 + 0*u - 4\/5*u**5 + 15 + 0*u**3. Determine s so that p(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, y: 13, h: 3}. What is prob of picking 2 v, 1 y, and 1 h?\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -23. Solve p*z - 18 = -5*a, -3*a - 17 = z - 7*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126236 divided by -1661\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*g - 104, 0*g - g + 100 = 4*i. Calculate the highest common divisor of 168 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 + -0.3. Which is the closest to 2? (a) p (b) -3 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211113333 - -11?\nAnswer: -211113322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0517 - 0.05165174. What is c rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -0.5, -58?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9232 - 3417. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*z = 14 + 5, b + 17 = 4*z. Let o = 14 - 8. Let d be 5\/3 - o\/9. Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5512.19 rounded to the nearest ten?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + m + 119 = 0, -m = -5*i + 3*m + 116. Let g be (2 - -2) + i\/(12\/4). What is g rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/88 in 0.5, 0.938, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -13*u + 64. Let p(v) = 3*v**2. Let g(z) be the third derivative of z**5\/60 - z**2. Calculate u*p(r) - 14*g(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 283850414 and 16.\nAnswer: 2270803312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2678 and -3\/2080.\nAnswer: 214240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106.8 - 116. Let j = b + 9. What is j rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 106. Calculate the lowest common multiple of 33 and (-33 + g - 5)\/(-2).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 248611032*k + 3862965327006564 = 0. Calculate k.\nAnswer: -31076379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 2*j - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 241 and -63990?\nAnswer: 64231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 70380.23 grams?\nAnswer: 70380230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13341\/(-6) - -4) + 9\/18. Let f = -1042 - g. List the prime factors of f.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -143. Let y = 10 - q. Let z = -115.079 + y. Round z to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -2, 6, -0.18, -2\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let u(p) be the second derivative of 2095*p**4\/6 + 774*p. Calculate u(h(c)).\nAnswer: 16760*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111647 decades in months?\nAnswer: 13.39764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2289 + 2895. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.08*-1.6\nAnswer: -1.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 3, 2719, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 0.12, 0, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-24))\/(17\/34). Let o = -223\/165 - -1\/55. Let r = 116681\/233354 + -2\/116677. Which is the third smallest value? (a) 3 (b) r (c) o (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424031.\nAnswer: 17, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*r + 60 = -84, 2*a - 96 = 5*r. Calculate the smallest common multiple of ((-4)\/(-3))\/((-16)\/a) - -12 and ((-36)\/14)\/((-6)\/56).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1309 and -1309 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.048 - -0.048. Let w = -14 - -20. Let n = 6.4 - w. Which is the nearest to z? (a) n (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -4. Let o be (-16 + 1)*s\/(-3). Suppose 0 = 6*l - l - o. Solve 3*v + 1 + l = -w, -5*v - 1 = -2*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -113, -190, -283, -398?\n\"Answer: -j**3 + j**2 - 63*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 1535853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160548 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 1. Let o be z(0). Let r = -10 + 22.9. Let j = r + 0.1. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 42.\nAnswer: -26\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3722, 3729, 3736, 3743?\nAnswer: 3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26885352 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101202 - -102011?\nAnswer: 210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 4:03 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1358213 - -7812441217\/5752. Find the common denominator of m and 3\/7190.\nAnswer: 28760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 = 307*c + 2726 + 446 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 3, -0.15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 707, 5210, 17209, 40382, 78407, 134962, 213725, 318374?\n\"Answer: 613*j**3 + 70*j**2 + 2*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 - 0.38077. Round x to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 - 317. What is the remainder when t is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*g + 25 = 249*g. Solve -g*x - 5*l = 0, -5*l - 9 = -2*x - 44 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -27. Suppose 0 = 3*n + 6 + k. Let t(q) = -q**2 - 11*q + 2. What is the units digit of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -255921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106392 - 106551.162. Let g = 159 + x. What is g rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (-2*sqrt(343)*2 - (sqrt(343) - ((-3 + -2*sqrt(343))**2 + sqrt(343)))))*1.\nAnswer: 56*sqrt(7) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k - 175*k + 808 + 152 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqfqqfq. What is prob of picking 3 q?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3387600 and -1\/41404.\nAnswer: 37263600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2385*y - 450 = 2460*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 0. Suppose -16*n - 51*n - 1936 + 2482 = -2335. What is the remainder when n is divided by (p\/2)\/(3\/54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.35 + 0.15. Let d = v + -59. Round d to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 134409.\nAnswer: 134405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_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: Is 23169433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c + 3518 = -7732. What is the least common multiple of 225 and c?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)*(2 + 4). Let n = 0 - -4. Let r = n - v. Sort r, -2\/21, 0 in increasing order.\nAnswer: r, -2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -9*c + 6*c - 11, 5*c + 17 = 4*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**4\/4 - u**3\/2 - u + 3. Let b(v) be the first derivative of f(v). Find the second derivative of b(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1256, 2497, 3738?\n\"Answer: 1241*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 3. Let m be r(-4). Let z(q) = -q**2 + 19*q - 7. Let s be z(m). Suppose s = 8*h + h. Is h equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.2 - -214.8. Let d = c + -264. Is 0 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 3. Let d(r) = 1 + 3*r + r**2 - 1 - 5. Let m be d(j). Is m <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(19*(-94)\/(-45543))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 f when four letters picked without replacement from {y: 1, f: 3, w: 5, z: 1, m: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4994682 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 10*f = 34. What is the second smallest value in -0.1, -1, f, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/10 - 2*q**2 - 4*q. Let i(r) be the third derivative of -r**5\/30 - r**2. Calculate i(l(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c + 73*c + 8*d - 22 = 0, 0 = c + 2*d - 5. Let u(k) = -9*k - 1. Let r(p) = p. Give c*u(j) - 3*r(j).\nAnswer: 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/3 (b) 4 (c) 2\/17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgggggggkgggekeggtgg. What is prob of sequence gk?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*a**2 + 270*a**2 + 100652 - 100652 + 450*a**2.\nAnswer: 493*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5460 is divided by 362?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 42 = -75. Solve 1\/3*c + 2\/3*c**4 - 2\/3*c**2 + 0 - 1\/3*c**5 + 0*c**t = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/10)\/((9\/88)\/(-3)). Let q = h + -39. Solve -3*n + n - 11 = -q*t, -5*t = -n - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 269 + 59 = 4*q. What is the remainder when q is divided by 103?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/414 and -15\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -r + 10, -f = -5*f - 16. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 17*t + 2139. Calculate i(59).\nAnswer: -5826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 6*z**2 + 9*z + 3. Let h be l(7). Suppose -2*m + 5*u = -m + h, -u = 2*m + 1. Sort 1, -1, m in increasing order.\nAnswer: m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -18*t**2. Let c(m) be the third derivative of -m**5\/10 - 2*m**2 + 1. Give -8*c(h) + 3*q(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -194, -12, -2, 2, -5 in ascending order.\nAnswer: -194, -12, -5, -2, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 minus 1042.7?\nAnswer: -1014.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 + 33*v + 6. Give x(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 77*c**2 + 2352*c + 17236. Calculate k(-99).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 4*m - 2. Suppose -4*l + 19 = 7. Calculate t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 17. Which is the second biggest value? (a) 2 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = 0, -3*q = -3*t - 0*t - 132. Calculate the remainder when 131 is divided by q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.03 + 0.03. Let w be 6*(20\/6 + -4). Which is the biggest value? (a) w (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 34552.\nAnswer: 207312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -1391, -2086, -2781, -3476?\nAnswer: -4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*c**3 + 2*a**4 - 69*a**3 - 3*a**2*c + a*c**3 + 18*a*c**2 wrt a?\nAnswer: -24*a*c**3 + 48*a - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000094849 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*l + 25 = 11*l, 0 = 2*f - 2*l + 10. Suppose -3*h - 2 = 2*x, -5*h + x - 9 = 3. Let q = -1 - h. Solve -g = q - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-33 + 63 + 110*v - 30) - 45*v + 28*v - 39*v.\nAnswer: -166*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) - sqrt(2)*-2*-4) + (-5 + sqrt(2)*1 - (sqrt(2) + sqrt(6)\/sqrt(3) + -2 + sqrt(2) + sqrt(2))))**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 6. Let q be t(5). Let z be (37 - -4) + q + 1. Let c = -12 + 16. Solve -m = -2*l - 14, -z = -0*m - c*m + 5*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-189))\/((10235\/623)\/115).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.13 - -2. Let f = 0.07 + o. Let p = f + 0.029. What is p rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 4, h: 1, n: 3, w: 1}. What is prob of sequence yn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5331000 rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580*k = 1577*k - 1884. Let c = 640 + k. What is the remainder when 55 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 41\/5*w**4 - 648\/5 - 774\/5*w + 1\/5*w**5 + 3*w**2 + 181\/5*w**3 = 0. Calculate w.\nAnswer: -36, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 36. Suppose o = 149*q - 152*q. Let d(b) = -b**2 - 9*b - 7. Give d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.392536 rounded to two decimal places?\nAnswer: 66.39","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0, -8 in decreasing order.\nAnswer: 0, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 + 2. Let a be z(0). Suppose q = 3*d + 2*q - 9, a*d = 4*q - 8. List the prime factors of 70 - d - 4 - -3.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1846333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17464.76 micrograms in kilograms?\nAnswer: 0.00001746476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.6 - -15. Let t = w + -1. Let z = 0.16 + 0.14. Which is the nearest to -1? (a) -1\/9 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 12)*2\/(-8) + (-12)\/(-4). Factor -12\/7 + 26\/7*u - 2\/7*u**m + 2\/7*u**4 - 2*u**2.\nAnswer: 2*(u - 2)*(u - 1)**2*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - 8 - ((-15)\/(-6))\/((-3)\/762) is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297887 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**4 + t**3 - t**2 - 1. Let x(b) = 18*b**4 - 2*b**3 - 18*b**2 + 8*b - 6. Let h(v) = 6*r(v) - x(v). Let h(z) = 0. What is z?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -73. What is the remainder when 182 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168029 is divided by 14001.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103\/2 in -4, 289, 0.1, 3\/29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 21*f - 13*f. Suppose -3*n = 5*l - 7, 5*n + 0 + 1 = -2*l. Let v = f - n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/42*(-48412)\/(-1330)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(11 - -15))\/((-74)\/4736)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 < -4626\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 2. Let x be s(5). Let y be 3 + (x - (-2)\/2). Let z be 1 - ((-1)\/(-1))\/(-1). Sort 5, y, z.\nAnswer: y, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 + q + 5. Let h be r(0). Suppose -u - 1 = -h. Let n be u\/(0 + -4 + 2). Which is the nearest to -0.1? (a) n (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose 2*p - 6*p - 48 = o. Let h be ((-2)\/(-8))\/(9\/p). Sort 2, h, 4 in increasing order.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15018*t + 76366. Let k be f(5). Let d = -4 - -26. Calculate the greatest common divisor of d and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -274152 + 35?\nAnswer: -274115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-930)\/12)\/31)\/((-7)\/((-14)\/(-4)))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1138*t**2 + 569*t**2 + 571*t**2 - 116 + t as v + k*t + i*t**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 31*l**2 + 411*l + 5772. Give v(-15).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 459269808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19698*a**2 + 33*a**3 - 2 - 19698*a**2.\nAnswer: 33*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 30889614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w - 59 = -5*m, -5*m + 5 = 0. Let h be ((-153)\/w - 6)\/((-179)\/(-18)). Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 15165 = 3*s + 13*f, 3*s = f + 15177. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202409, 202410, 202411, 202412, 202413?\nAnswer: 202414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*q + 14, 5*x - 8 - 6 = -2*q. Solve x*r + 5 = 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/x**7)\/x)\/x)\/x**(3\/2))**8 assuming x is positive.\nAnswer: x**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250097 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -7 - (-63 - -37 - (-2 - 8))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/(-1) - (-5 + 7). Let s = i + -10. Let w = -11 + s. What is the smallest common multiple of 2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1 + 5*w + 0 - 2*w - w**2 + 3*w. Let c = -8 - -12. Determine l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 4*j**2 + 9 + j**2.\nAnswer: 2*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -13 (b) -2\/35 (c) 2\/13 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1743 + 224?\nAnswer: -151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 - 6. Let z = m - -0.2. Which is the nearest to z? (a) -0.3 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6977332 is divided by 386.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooppooo. Give prob of picking 2 p and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkg when three letters picked without replacement from srsjkkjppgpk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*q - 6, 2*q - b + 21 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -121716\nAnswer: 13388.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9437739817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*v - 19563 = 0, -3908 = -135*m + 134*m - 4*v. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 51. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -5, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/4)\/5*-5*(-10)\/450.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 b when three letters picked without replacement from bhhihbihhhhjbb?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*s**4 - 3*g**2*s + 26*g*s + 135*s**4 - 2*s wrt s.\nAnswer: -24*g**2*s**2 + 1620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17181 and 29067264?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -7*j**6\/120 + j**4\/6 - 2*j**3\/3 + 3*j**2 + 256. Let g(l) = 14*l**3 - 9*l + 9. What is 4*g(i) + 9*y(i)?\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1204 and 19\/952.\nAnswer: 40936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21308 and 42?\nAnswer: 63924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 - 309682316.6.\nAnswer: -309682316.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053811 to 5 decimal places.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 9*f. Let n(k) = k**2 - 15*k - 10. Let c be n(15). Calculate the remainder when 19 is divided by j(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/14 + (-1286)\/14. Let s = 92 + z. Factor 1\/2*m**2 - 3\/2*m + s.\nAnswer: m*(m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**2*m**2 - 161*b**2*m - 13253287*b*m**5 - 2*b - 40652*m wrt m?\nAnswer: -10*b**2 - 265065740*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 - -173. Solve -3*i + 5*w = 12, f*i + w - 6*w = -10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -46145.83.\nAnswer: -46145.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41582428*g**2*r**4 + 3225*g**2*r**2 - g**2 - 2*g*r**2 - 775*r wrt r?\nAnswer: 997978272*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.99 - 0.01. Let y = g - -11.99859. Round y to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1560 and 13780.\nAnswer: 82680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21639 - -82.\nAnswer: 21721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, -316, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.24, -607, 5, -0.0713?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1270 and 1374.\nAnswer: 872490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 1, p: 2, l: 1, u: 1, d: 1}. What is prob of sequence pdu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53464 is divided by 514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (29*99\/957)\/(-6 + -2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.8 - 48.80321. Round d to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -875*y**2. Let o(g) = 72*g**2. Determine h(o(n)).\nAnswer: -4536000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7491, 7984, 8477, 8970?\n\"Answer: 493*l + 6998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59565 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -642 + 670. Solve -3*v + m = 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-36)*((-568)\/96)\/(((-57)\/(-24))\/(-19)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1.41\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -41706 to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -46*b + 59. Let q be v(4). Let r = q - -201. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((213 - 121 - 165)*(4 + 1 - 3) + 4 + 2 - 4)*(1 + 2*b + b - 5*b) in the form g + t*b and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 = m + 3*d, 3*d + 30 = 3*m. Suppose 0 = -9*y + 5*y + m. Solve -y*j + 7 = -3*u - 0, -u = -5*j - 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/19))\/((v*(v**(-15)\/v)\/v)\/v))\/(v*v**0*v\/v**15*v*v) assuming v is positive.\nAnswer: v**(553\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.8 (b) 2\/3 (c) 1\/25 (d) -12.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 7*k - 6. Let r be k\/(4\/(-2))*-5. Let p be ((-18)\/r)\/((-6)\/(-20)). Solve 4*t + 0 + p = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186400 rounded to the nearest one thousand?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 + 7*b**4\/12 - b**3\/6 - 9*b**2\/2 + 3989*b. Let o(p) = -p - 13. Let n be o(-6). Calculate c(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -45102 and -45103 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = m - 10 - 3, 23*s + 3*m + 4*m = 3*m + 99 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-400)\/(-6))\/(-1) + 22320\/270 + -85.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6198*t**3 + 84*t - 12387*t**3 - 84*t + 6191*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 322*h - 4506. Let p be s(14). Find f, given that 0 + 0*f**3 - 1\/2*f**4 + f + 3\/2*f**p = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*f - 286*f - 87*f)*(f**2 + 0 + 0) - f**3 + 3*f**3 - 3*f**3.\nAnswer: -317*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (286\/(-4) - 2)\/(18\/180). Does 15 divide a\/42*(-264)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-878576.\nAnswer: 11421488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -53. Solve 0 = b - h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 4 = -2*q - 5*v, 3*v + 14 = -4*q. Let y be ((-4)\/(-8))\/((-1)\/q). Is 1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from {g: 13, u: 6}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -47617?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n - 1. Let w(x) = 5 + 2*x - 16*x + 8*x - 11*x. Determine -2*w(l) - 9*y(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*f = f - 4, -4*u + 5*f = 36. Let o be u - ((-189)\/4)\/((-9)\/(-48)). Suppose -2*j + 17 = 5*s - 203, 2*j - 2*s - o = 0. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t - 6. Let f(j) = 2*j + 7. Let d(i) = 4*c(i) + 3*f(i). Let o be (-7)\/((-77)\/(-132)) - -7. Give d(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36102 (base 7) to base 2.\nAnswer: -10010001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21100\/35)\/((-23)\/(-7) - (3 + 0)). What is the biggest value in 0, -0.04, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 325*r + 197. Calculate c(0).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18096 + 2*z - 18096.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1093 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11833508.\nAnswer: 3\/11833508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*s**2*z**3 - 908*s**2 - s*z**2 - 24*z**3 wrt z.\nAnswer: 162*s**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-8 - 1 - -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*3 + (-69 - -70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0 + 1\/9*o**3 - 1\/20*o**5 + 0*o**2 + 1\/90*o**6 - 29*o + 1\/126*o**7 - 1\/36*o**4. Factor f(i).\nAnswer: i*(i - 1)**2*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 3. Let w be (-3)\/(-2)*130\/(-39). Let l(o) = -2*o - 2. Give w*l(u) - 4*i(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 3*q. Let g(x) = 5*x**2 + 2*x. Let v(h) = 2*f(h) + 3*g(h). Let w(s) = s + 1. Let j(a) = -5*a - 6. Let r(y) = j(y) + 6*w(y). Give r(v(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = 1 + 164. Let c(h) = 17*h**3 + 5*h**2 + 11*h - 9. Let n(l) = 6*l**3 + 2*l**2 + 4*l - 3. What is d*n(z) + 4*c(z)?\nAnswer: 2*z**3 - 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + d = 52, 5*i - 99 = d - 15. Let f = -34 - -36. Suppose -5*l = 15, -2*y - f*l = -25 - i. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 - (-8 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 39*p**2 + 97*p - 667. Calculate o(37).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. What is the second biggest value in -3, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q, -j - q + 1 = -0. Let s be (j + -1)\/((-3)\/12). Suppose -4*w + 3*i = -2, -w - s = -2*i - 3*i. Solve p + p - w = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 224. Suppose 0 = z - c - 71. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -27\nAnswer: 19\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.089.\nAnswer: -0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/298, -37, -1006 in ascending order.\nAnswer: -1006, -37, 1\/298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 5 + -22 - 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s)**(3\/19)*(s**1*s)\/(s\/(s*(s\/s**(-2\/29)*s)\/s)*s) assuming s is positive.\nAnswer: s**(2367\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254068*m**3*z**2 - 2551*m*z**2 - 4*m - 48*z**2 wrt m.\nAnswer: -1524408*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1677752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -36. Let u be -3 + x + (1 - 0). Suppose -4*z + 46 + u = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69368071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42751 + 42751 + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -127.\nAnswer: -132\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + x**3 - 3*x**2 + 3 - 5 + 5 + 6*x - 4 - 2*x**4 to r*x**4 + b*x**3 + a*x**2 + p*x + i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Let n(f) = -10*f. Let j(t) = 10*t. Let q(k) = 2*j(k) + 3*n(k). Give b(q(u)).\nAnswer: 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 + 5*o + 4. Let t = -4 + 0. Let h be n(t). Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q - 74. Determine w(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**3 - 9*m**2 - 20*m - 13. Determine g(-3).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64090 and 27840?\nAnswer: 6152640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g - 48*g - 181 + 236 + 439 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1143120 and 21648?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*a**3 - 201*a**3 + 149*a**3 - 132*a**3.\nAnswer: -354*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 12 = 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 15*d**3 + 10*d**2.\nAnswer: -5*d**2*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*6*(1*sqrt(243) + 5))**2.\nAnswer: 3780*sqrt(3) + 9973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 576, -2\/11, 0.2, 3 in decreasing order.\nAnswer: 576, 5, 3, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/20 and (-5)\/10*((-118)\/24 + 4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 39 = 2*h, h = 4*k - 2. Is -23 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*r**2 - 231*r?\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 times -0.1?\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*l**4 - 15*l**3 - 18*l + 28*l**3 - 13*l**3 wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p + 11. Let n(h) = -10*h + 5 + 19*h - 12*h. Let a(o) = -o. Let k(d) = a(d) + n(d). What is -5*k(l) + 2*u(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 8*q**2 - 8*q - 7. Let h be g(-6). Let a = -15 - h. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960204499 to the power of 1\/3, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7415 + 2804. List the prime factors of g.\nAnswer: 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1976*c - 2867*c + 123684 = -1294*c + 199*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1\/2, 13, -5\/2, 3.\nAnswer: -33, -5\/2, 1\/2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 + o**4 - o**3 - 5*o**4 - 2*o**4 + 2 + o**2 + 9*o - 4*o in the form c*o + f*o**4 + l*o**3 + m + d*o**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 597 - 22091\/37. Let i be (6 - 11) + (1 + -5 - -8). Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 0.0162079.\nAnswer: 0.000972474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.4 (c) 173 (d) -10 (e) 2 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -1 (c) 1292 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 30*h - 253. Suppose u - 2*d - 16 = 3*d, -2*u = 4*d - 46. Let x = u + -10. Calculate the remainder when x is divided by q(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 38 = 2*d, -5*d + 344*q + 343*q - 689*q = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -136852, -273721, -410590, -547459, -684328, -821197?\n\"Answer: -136869*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-10 - -4) + 4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + 2*sqrt(5) - 3*(2*sqrt(20)\/sqrt(4))**2) + ((1 + sqrt(5))**2*5 - (1 + (sqrt(20) - sqrt(5))) - 4*5*sqrt(15)\/sqrt(3)).\nAnswer: -32 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (2 - -5 - 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463084100?\nAnswer: 2, 5, 919, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3799 + 3.4341. Let c = g + 0.186. What is the biggest value in -3, -3\/7, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*l = -82, 3*c + 0*c + l - 97 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 25752, -313.\nAnswer: -313, 17, 25752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29563007 + -3793.\nAnswer: -29566800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 208018 times 12.7\nAnswer: 2641828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t. Let f be d(-4). Let l = -21 - -29. What is the least common multiple of f + 12 + -2 + 1 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -622 + 1616. What is the remainder when r is divided by 123?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -10. Suppose 4*w - 8 = k*w. What is the lowest common multiple of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b76 + -c?\nAnswer: 10b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmwmmmw. Give prob of picking 1 m and 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10507 and 152.\nAnswer: 84056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/207*24\/(-16). Let t = -730 + 725. Which is the nearest to -0.1? (a) t (b) n (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -175, -397, -709, -1111, -1603?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 28*d + 15*d + 15*d)*((2*d**2 + d**2 - 4*d**2)*(1 + 2*d - 1) + 2*d**2 - 2*d**2 + d**3).\nAnswer: -d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -21*s - 112. Let v be i(-6). Suppose -63 - 49 = -v*f. Solve 17 = -3*t + f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a + 3*a + 2*a)*(1 - 2 + 0) - 7*a + 2*a + 2*a)*(-2*a + 3*a + a)*(3*a - 2*a + a).\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 8*f + 1. Let g be t(-7). What is the units digit of (-86)\/(-18) + g\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63, 60, 57?\n\"Answer: -3*i + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n. Suppose -4*c = -c + 4*v - 4, 0 = -4*v + 4. Let y(b) = 1888 - 1887 - b - b**2 + c*b**2. Let d(t) = -s(t) + 4*y(t). Factor d(q).\nAnswer: -4*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-11)\/(8151\/(-190))*(-144)\/(-40)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 67. Let z be f(-17). Suppose 4*s + 14*j - 1916 = z*j, -j + 475 = s. Calculate the highest common factor of 53 and s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -152*p + 8. Let r(f) = -304*f + 13. Calculate 3*r(q) - 5*w(q).\nAnswer: -152*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/((-5201)\/(-1736) - 3). Let g be (217\/s)\/((-2)\/(-40)). Does g = -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 8*v + 6. Let p(a) = -3*a**2 - 7*a - 2. Let h(f) = -3*p(f) - 2*y(f). Calculate h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5956*d - 175 = 5963*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 491*m + 28. Let b(r) = r**2 + 4*r - 5. Let x be b(-3). Let i be d(x). What is i rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 10*j - 4. Let i(k) = 6*k + 4. Let b(g) = g - 1. Let v(h) = -2*h + 1. Let d(x) = 3*b(x) + 2*v(x). Give j*i(f) + 4*d(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2207365313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 11) to base 2\nAnswer: 10010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2178)\/(-168) - (32\/(-56) - (-243)\/21).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 19 = -3*k, 3*k - 5*v - 29 = -v. Let y be (-1)\/(k\/(-216)) + -3. Suppose 4*x + 5*f - y = 0, 5*x - x - 68 = -4*f. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*q = 12, 5*c = q - 36 + 8 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.06 + -0.06. Let h = 0.06 + -0.06. Let m = h - n. Put 0.4, m, 4 in descending order.\nAnswer: 4, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 8\/((-24)\/(-9)). Let s be (3 - 147\/35)\/(z\/20). Suppose 10 = -2*b + s*p, b - p - 15 = -3*b. Solve -4 = -2*o, b*g - 2*o - 2*o + 23 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttahlnvl. Give prob of picking 1 h, 1 l, and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/24*-1)\/(200\/10400).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 2, 1, 10 in increasing order.\nAnswer: 1, 2, 10, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/(-170)*(8\/5)\/4)\/(-9).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3337*g. Let n(a) = 26*a - 323. Let t(p) = 6*p - 76. Let r(j) = -4*n(j) + 17*t(j). What is u(r(m))?\nAnswer: 6674*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1361 - 1194.6. What is s rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 6130474*u - 36782852\/3.\nAnswer: 2*(u - 2)*(u + 9195713)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13086 - 13085.0837. Let j = w + -0.92. Round j to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -57*a**3 - 9 + 0*a**2 + 56*a**3 - 6*a**2 + 6*a. Give l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3651*m**3 + 11*m**2 + 2*m - 32. Let w be k(-4). What is w rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -50. Let a(w) = -3*w - 2 + 5 + 2*w + f*w. Is a(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(5054\/(-462) - -11)*-33.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2. Suppose 6 = -14*v + 16*v. Let k(s) be the second derivative of 2*s + 0*s**2 + 0 - 1\/3*s**v. Calculate i(k(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49106.\nAnswer: 2, 43, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-2)\/(-8)). Suppose 19*j - 45 = 24*j. Let a = y - j. What is the remainder when 7 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17231 - 3?\nAnswer: 1722a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26b (base 13) to base 9.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310156 divided by -532?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 5)*((1138 + 2317 + 4873)*(-4*o + 4*o + 2*o) + 2*o - 6*o + 3*o + (1 - 4 + 5)*(-2*o + 2*o + 2*o)) to x*o + t and give x.\nAnswer: -33318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3366246 (base 9) in base 16?\nAnswer: -1bb376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.4567 weeks to seconds.\nAnswer: 177482612.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 72695.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -v - 56218 + 3066, -2*i - 4*v = -53192. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from jjogjjox.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 16*c**2 - 17*c + 10. Let n be z(-17). Calculate the common denominator of (-23)\/(-16) - 5\/(-15) and (-49)\/n + (-2)\/(-5 + 6).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596 divided by -298\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1921*y**2 + 1864*y**2 - y + y.\nAnswer: -57*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 4*f + 3960. Let u be d(-61). What is the nearest to -9 in -1\/2, 0.45, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43966.26m?\nAnswer: 43966260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464446 is divided by 7037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 - 7*g**2 + 4*g - 4. Let s be y(14). Determine o, given that 0 - 4\/7*o**s - 6\/7*o**5 + 4\/7*o**2 + 0*o + 6\/7*o**3 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78912.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*a**4 - 14*a**3 - 2965*a**2 - 30553600*a.\nAnswer: -300*a**2 - 84*a - 5930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i - 137. Let h be r(11). Let b(m) = -m + 8. Let s be b(-6). What is the greatest common divisor of s and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12593413 is divided by 127.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -1, -35, -103, -217, -389, -631?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -77126, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**33\/((y*y**(1\/8)*y)\/y*y**(-3)\/y)*y*y**(2\/3)*y**(-2\/5)*y**(2\/9)*y*y*y**(-1\/10) assuming y is positive.\nAnswer: y**(-1925\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*j + 471, 4*j + 46 - 58 = 0. Let x be (-1)\/4 - (-282)\/r - -3. Suppose 1\/5*a + 2\/5*a**2 - 1\/5*a**5 + 0*a**3 + 0 - x*a**4 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515778 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 173*h**4\/4 + 31*h**3\/2 + 15*h. What is the second derivative of w(c) wrt c?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(11))*-4 + sqrt(110)\/sqrt(490) + (-5*sqrt(1331)*-1*-3)**2.\nAnswer: -111*sqrt(11)\/7 + 299475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161007 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 + -167 + 52 + -27.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*sqrt(125)*-3 + -3)**2*-1.\nAnswer: -121527 - 1620*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -13.7. Let y = -0.51 - -13.51. Let u = f - y. Which is smaller: 0.23 or u?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 443906*z\/3 - 2219480\/3.\nAnswer: -2*(z + 5)*(z + 221948)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7851, -15701, -23551, -31401, -39251, -47101?\n\"Answer: -7850*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2089*12\nAnswer: 25068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 7. Let g be k(7). Let c(p) = p**2 - p - 4. What is c(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o + 27*o + 27*o - 134*o + 27*o - 2*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1273.2426 + 0.2426. Let i = -1272.98506 - s. Round i to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.05, -15, -4, -0.02 in decreasing order.\nAnswer: 0.05, -0.02, -4, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131, -261, -391?\n\"Answer: -130*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -4?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1064 - -2636. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, 1 r, and 1 d when four letters picked without replacement from {n: 4, d: 2, y: 2, r: 2, m: 1, z: 6}?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m - 2. Let c be -3 + 1\/m + -1. Let s(x) = -10*x. Does 15 divide s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -1\/12, 296\/27?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-12) + 2 + 900\/324.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 85. Let j = q - 136. Let a = j - -68. Is a at least as big as -0.002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-3) - 2)*1. Suppose 0 = -5*g + 15, 5*g - 18 = -j - a. Factor p**j + p + 1\/3 + 1\/3*p**3.\nAnswer: (p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -30.7. Let l = 1.2 + k. Let x = 183181\/19 - 9641. Which is the third smallest value? (a) x (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226814 - 3.161591?\nAnswer: 226810.838409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - (-4)\/16. Suppose o + 0 - 8 = p. What is the remainder when 23 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 15) in base 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -7c?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2 + 3)*1. Suppose 5*k = h*k + 4. Find the third derivative of -3*f**4 - 16*f**k + 2*f**4 + 17*f**2 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10247, -20370, -30489, -40610, -50739, -60882?\nAnswer: -71045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5280*-110.\nAnswer: 580800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 84911929 and 84911929 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3611, -7071, -10531?\nAnswer: -13991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/1503 + -2002\/1503. Let s be (2\/4)\/(3\/(-2)). What is the closest to -1 in -2, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7031477*x**3 + 6050184.\nAnswer: 21094431*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -114596.\nAnswer: -99\/28649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32859822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/22 - (-2)\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4508719.5 + -155263.5. Let l = p - 4353455.19999994. Let r = -0.8 + l. Round r to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from {u: 16, p: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-1)*(1\/((-8)\/(-16)))\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 62. Let y = g + 70. Suppose 4*j = h + 75, h + 3*h - 24 = -2*j. What is the remainder when y is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15.47472 + 4\nAnswer: 19.47472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2 = 0, -12*f + 3*n = -7*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 4*n**3)*((-2*n - 4*n + 5*n)*(6 + 5 - 9) + 6*n + 17*n + 2*n) as c*n**2 + f*n**3 + m*n**4 + w*n + i and give m.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14864.3 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3748602780 to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10.4, 367936, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 + 512*o**3 + 4872*o**2 + 8320*o - 13700 = 0.\nAnswer: -5, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107900 is divided by 107898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t + 15. Let c = -427 + 1899\/4. Let k = -47 + c. What is the third smallest value in k, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 + 1040?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {i: 5, y: 1, q: 11, o: 2}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4643 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 21*q - 51. Let b be a(18). Suppose -l + 3*l = 3*y - 54, 0 = b*l. Calculate the lowest common multiple of 3 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 31. Let b = -3774 + 3783. Determine l(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(13) + sqrt(65)\/sqrt(5) + sqrt(13)))**2 - sqrt(13)) + sqrt(39)\/(sqrt(9)\/sqrt(3)).\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29235588?\nAnswer: 2, 3, 83, 149, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 1, 16, -1, -4.\nAnswer: -6, -4, -3, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + z + 2*z = 6, 3*c + 25 = 4*z. Let l be ((-9)\/c - 37) + -1. Let m = 54 + l. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13149, 13164, 13179, 13194?\n\"Answer: 15*z + 13134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 3*n**2 + 6*n**2 - 6*n - 3*n**2 to the form j + z*n + q*n**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2*(-12)\/(-9))\/(39\/9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11612327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 27*g + 170. Calculate w(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1002100?\nAnswer: -1002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 298, 565, 1118, 2053, 3466?\nAnswer: 5453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(210\/36 + -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 38. Determine z(-15).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2. Let z(i) = 8*i. What is z(y(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 0*h + 2*h + (6 - 4 - 3)*(4*h + 0*h - 2*h) - 3 + 3 - 2*h - 5*h + h + 2*h - 2*h - 2 + 2 - 4 + 4 - h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*r - 2989 = 2639 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**1*o*o*(o*o**(-7\/2)\/o)\/o*o*o*o*o assuming o is positive.\nAnswer: o**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1689579)\/(-18))\/(-17)*1\/(-6)*4 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - 58 - 11 - (0 - 33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311470 + x + 311470.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1532 + 0.0468. What is the closest to h in 1\/2, -0.4, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -34 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6045726)\/11809 + (-2)\/49. Which is smaller: -487 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l + 3*i - 140 = 24*l - i, -l - 7 = -5*l - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5605 + -252?\nAnswer: 5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 37*l**2 + 32*l - 144. Let h be j(-36). Which is the biggest value? (a) 10 (b) 30 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 4*p + 758 = 0, 0 = -m - 2*p + 2524 - 2470 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, 359, 0.07, -0.4, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - p - 105 = -3*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -h + 85, h + 485 = 6*h + 5*s. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*p + 25 = 0, -5*x - 5*p = -12*x - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 2. Let c(q) = -q + 2. Let h(k) = -k**3 - 2*k**2 + 3*k + 3. Let w = -29 - -27. Let m be h(w). Determine m*l(z) - 4*c(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 62 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*q + 188*q - 5*n = -25, 42*n = 3*q + 57 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f + 34. Let t(o) = o**2 - o - 12. Let s be t(5). Calculate the least common multiple of 149 and k(s).\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16836 and 368.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -2) + 1*-2. Solve n*k - 4*k - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -32, -32, -22, 4, 52, 128, 238?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*s + 504792 = -10*s + 503417 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 greater than 18516\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by -18191.\nAnswer: 113\/18191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a factor of 1332944256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 19*o + 1479. Let y be v(0). Let f = y + 159. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2057) - (sqrt(2057) - ((sqrt(2057) - sqrt(2057)*2)*6 - sqrt(2057))))**2.\nAnswer: -302379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**6\/120 + u**5\/20 - u**4\/12 + 13*u**3\/6 + 880*u**2. Calculate d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-8\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 51*d**2 - 22552*d + 4431. Determine g(442).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 614366297 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 16*v + 16. Put 14, 4, -3, v in descending order.\nAnswer: 14, 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218908927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1504747*7\nAnswer: -1.0533229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from eeeeeejejeee.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391455 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9 take away 0.286745?\nAnswer: -5.186745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3135312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*y + 4*c, 4*y + 0*c = 2*c + 2. Let w(d) = -2*d**2 + 4*d**2 - d**y. Let r(m) = -17*m - 6 + 2 + 12*m + 4. What is r(w(n))?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 141. Let w = -154 - -223.4. Let s = l - w. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 + 21. Let g = 145 + x. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/15 + 14*s**4 + 172*s**3\/3 + 260*s**2\/3 + 58*s + 218\/15 = 0. Calculate s.\nAnswer: -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (2 - (2 + -15)). Let x be (-6)\/2*o\/(-9). Find the third derivative of n**2 - n + n**x + n wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (607\/((-233695)\/(-210)))\/((-81)\/(-33))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 i, and 1 y when four letters picked without replacement from {e: 2, j: 7, y: 1, i: 3, u: 1, l: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 2*j - 2*j)*(-j**4 + 2*j - 2*j - 1).\nAnswer: 12*j**5 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let u be 408\/(-36)*r\/(-2). What is the highest common factor of 119 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-15 - -2) + 16 + 0 + 18\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20931 + -20936. Which is the closest to -4? (a) -1 (b) -2 (c) o (d) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 53\/4 (c) 484 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-21)*9\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -0.5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152432150 (base 6) to base 2.\nAnswer: 1100001111001110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67843.0197 and 3?\nAnswer: 67846.0197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367620769?\nAnswer: 31, 44116799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*826.4218.\nAnswer: 661.13744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 - (33 - 35) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 711, 1, -5, -2060, 0 in increasing order.\nAnswer: -2060, -5, 0, 1, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 25 - 17 + 2*p - 42*p**3 - 6 to the form l*p**3 + r + j*p**2 + n*p and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5346, 5352, 5362, 5376, 5394, 5416?\n\"Answer: 2*q**2 + 5344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -12, -14, -16?\n\"Answer: -2*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21857000 rounded to the nearest one hundred thousand?\nAnswer: -21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.19 (b) -2\/163 (c) -1 (d) 1\/7 (e) 6\/7 (f) -5.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q**2*q**(-9)\/q**(7\/6))**43 assuming q is positive.\nAnswer: q**(-645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 5) + -5 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Let o(i) = -y - 22*i - 11 - 2. Is o(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let i = 7 + u. Suppose 2*l - i*l + 6 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose -p*o - c + 51 = 0, 4*c - 2 - 10 = 0. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-56)*40733\/(-14168)?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 minutes before 5:00 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013687 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c + 6. Let a(o) be the first derivative of o**3\/3 + 13. Let s(y) = 1. Let x(b) = -5. Let g(w) = -6*s(w) - x(w). What is c*g(u) + a(u)?\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let q(i) = 5*i + 4471 + 11*i - 4471. Calculate q(b(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g - 16, 3*m - 2*g - 92 = 0. Let y = 46 - m. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 3. Let l be a - ((-2)\/6 - 658\/42). Calculate the greatest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 at most 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*o - 23 - 3, 2*o - 4 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319 - 311. Let c(j) = 5*j - 42. What is c(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**4\/4 + 3*k + 5. Let i be j(0). Suppose 5*x + 125 = 5*a, -3*x + i = 12. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 5*i**3 + 16*i**3)*(-3*i - 2*i + 3*i) - 7*i**4 + 3*i**4 + 3*i**4.\nAnswer: -33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 462549*m**2 + 193199*m - 2 wrt m.\nAnswer: 925098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10343441331 (base 5) to base 10\nAnswer: -11312091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21813, 43636, 65461, 87288, 109117, 130948, 152781?\nAnswer: 174616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -23*c**4\/8 - 26*c**3\/3 - 51*c**2. Differentiate i(s) wrt s.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-11)\/x)\/x)\/x**(-9\/4))**(-14\/5)*(x\/(x**(-2)\/x))**24*x\/(x*x\/x**(-4))*x\/(x*x**3)*x assuming x is positive.\nAnswer: x**(1163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -326 or -0.1?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = -0*d. Suppose -2*s + d*l - 31 = 0, -4*s + 6 = -5*l + 43. What is the units digit of s\/(6\/4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = 5*f + 20*w - 25, 4*w + 12 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from {l: 1, q: 5, f: 4, h: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 564754?\nAnswer: 564754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -783*j**2*o + 3*j**2 + 4689*j*o - j - 2737700 with respect to o.\nAnswer: -783*j**2 + 4689*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 6930*k - 3446*k + 65 - 3416*k - 127.\nAnswer: 68*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1081 and 1055171.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 310947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 4. Let r be a(2). Suppose k + 5*f + 3 - 10 = 0, -r*k - 3*f + 7 = 0. Let x = -11 - -20. Solve -3*w - 7 - 8 = 0, -k*l + 3*w = -x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s. Let o be b(-2). Suppose 3*f + 1 = o*w - 5*w, -w + 9 = 5*f. Suppose w*x - 451 = p, -2*p + 3*p + 227 = 2*x. Round x to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4359587 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 21824?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31381116 and 2652.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*99.80342.\nAnswer: 49.90171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(99) - sqrt(99)) + 1)**2 - (sqrt(99) + 0)*6)*1 - (-4 + -1*sqrt(99)*-4 + -1 + (-1*sqrt(99))**2).\nAnswer: -30*sqrt(11) - 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - c)*(-2*c + 2*c - 2*c**2) + 3*c**3 + 2*c**2 - 6*c**2 + 0*c**2.\nAnswer: c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2504)\/(-100786))\/(6\/(5\/(5\/(-7))))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -2, -5, 4, -10\/9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 138.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j - 88. Determine z(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09769939544 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499*-0.2.\nAnswer: -99.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. Suppose -3*c - 1 = 5. Let t be 3 + 1\/c*2. Let p(z) = 2*z**2 + 7 + 8 - 7 - z**2 + 8*z. What is t*p(h) + 14*a(h)?\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757772 is divided by 35356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -24. Sort c, -0.2, 0.\nAnswer: c, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:23 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, 169, -2, 16 in decreasing order.\nAnswer: 169, 16, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 0.38382389?\nAnswer: -0.0230294334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9031283.529 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182099168 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-34)\/102\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3 (b) 31 (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17911 + -17911.3. Which is the second smallest value? (a) j (b) 5 (c) 0.3 (d) -2\/45 (e) -1\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/3)*(s*s**(3\/32))\/s*s**(-23)\/s**(-3) assuming s is positive.\nAnswer: s**(-1879\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147697715, 2295395429, 3443093143, 4590790857, 5738488571?\nAnswer: 6886186285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1269 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7128 and 810.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:03 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/5843 and 127\/6.\nAnswer: 35058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1729 bigger than -1729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = -54 + 269. Solve 2*i + 5 = -q - i, 2*q + 9 = -h*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -8*z**4 + 10*z**3 + 14*z**2 - 4*z = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1784, -3570, -5356?\nAnswer: -7142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 - 3 = 0. Suppose a*i + 5*c - 4 = 39, -3*c - 125 = -4*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 1, 0.4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352847034?\nAnswer: 2, 673, 1748029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/27 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178639, 178653, 178667, 178681?\nAnswer: 178695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46701672 (base 8) to base 16.\nAnswer: -9b83ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-3)\/(-64) + 5\/(-1) + (-105)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1053.\nAnswer: -1053, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4700 and 29514825?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from xgxddxxxgxdgx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i + 23. Let q be o(-8). Sort -5, q, 4, 5 in descending order.\nAnswer: 5, 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 8 in descending order.\nAnswer: 8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, -4\/5, 3\/5, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565725?\nAnswer: 3, 5, 47543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7. Let v = -507 - -510. Let l(x) = x + 14. What is v*l(k) - 5*o(k)?\nAnswer: 3*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (-4)\/14 + (-20)\/(-56)*26.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - q + 18. Suppose f - q*v = 4919, -3*f = -25*v + 23*v - 14773. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + y**2 + y + y**3 + 6*y**2 - 1 + y**4 to g*y + x*y**2 + u*y**4 + h + j*y**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*i - 42*i - 38*i)*(2*i**3 - 2*i**3 - i**3) - 3*i**3 + 3*i**3 - 2*i**4 + (-3 + 3 + i**3)*(-i + 6*i - 2*i).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and -113\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -122\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1 - 40) + -217 + 224?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 20*a**2 + 17565*a + 28. Let c(u) = -6*u**2 - 5855*u - 8. What is -7*c(l) - 2*y(l)?\nAnswer: 2*l**2 + 5855*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 545507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 6. Suppose 2*i = d - i - 7, 11 = -d - 3*i. Let x(b) = -5. Let l(o) = d*z(o) + 3*x(o). Let m be l(-3). Sort m, 5, 4 in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 k when four letters picked without replacement from kfkwwwkwkwwkfkk.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -326*v - 38781. What is z(-117)?\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:10 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 964\/3 + -321. Which is the closest to 0? (a) 0.4 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36279 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262446\/35 + 7496. Let c = 10655\/7 - 1525. Let a = c - z. Sort a, 0.3, 1\/3, -5 in decreasing order.\nAnswer: 1\/3, 0.3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/130 and -87\/57226.\nAnswer: 286130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*l - 68, d + 4*l - 1345 = 2*d - 1313 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*u - 101325, 0*u = -4*y + 3*u + 135093. Let o = y + -22174. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 + 1248*q**3 - 1293*q**2 - 17442*q + 30024 = 0 for q.\nAnswer: -417, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 0.0372?\nAnswer: 2.9628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**4 + 7*d**4 + d - d**3 + 2*d**2 + 8*d**4 as k*d + i*d**3 + a*d**2 + r + l*d**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*b*i**5 + 89*b*i**2 - 4*b - 28*i**5 - 2*i**2 wrt i.\nAnswer: -3120*b*i**2 - 1680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 2. Let s(t) = -6*t + 14. Let h(o) = 6*o - 13. Let f = -9 - -3. Let n(m) = f*s(m) - 7*h(m). Determine -2*n(i) - 7*x(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1817, -1, -493, -3 in decreasing order.\nAnswer: -1, -3, -5, -493, -1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:10 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 767.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - 2*a**2 - a + 2. Let g be z(1). Calculate the common denominator of g\/18*((-26)\/(-8) - -5) and -47\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 39480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591235511.\nAnswer: 53, 109, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 10 = 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 37*n**2 + 187*n + 31. Determine o(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u**(2\/11))\/(u\/u**(-2\/5))**(-8\/13) assuming u is positive.\nAnswer: u**(2176\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3aa - 3?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 357.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 2:25 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 176432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4747202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 60*k + 308. Calculate w(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b + 1\/3*b**3 + 0 - 7\/8*b**4 + 12*b**2 - 1\/60*b**5. List the prime factors of t(-17).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1266)\/(-90) - 42\/630.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25673789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141 - 61*g - 32*g - 96*g - 22*g - 32*g wrt g.\nAnswer: -243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*w - 6*u + 4*u, 4*w + 5*u - 144 = 0. Let r = 31 - w. Sort r, -4, 2 in decreasing order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - 1a38?\nAnswer: -1a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:50 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -248, -324, -514, -854, -1380, -2128, -3134?\nAnswer: -4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntns when four letters picked without replacement from {f: 1, y: 5, t: 9, n: 1, s: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.00462\nAnswer: 0.00924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 - 12. Determine u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5757, 23040, 51851, 92196, 144081, 207512, 282495?\n\"Answer: l**3 + 5758*l**2 + 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 39*l + 37*l + 20, -8*l + 7*l = -1 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(37 + 34 + 50)*(r + 6*r**2 + 0*r**2 - 5*r**2) to the form s + t*r + q*r**2 and give t.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-5) + ((-149390)\/(-50) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -469*y + 2379. Calculate j(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10204244 (base 6) in base 8?\nAnswer: 1103004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2322513 and 12855.\nAnswer: -2309658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 163. Which is the third biggest value? (a) -0.2 (b) u (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 20*z**2 - 21*z + 7. Suppose 10*p = -0*p + 210. Let r be k(p). Solve r*w + 3 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - h**2 - 10*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19) + 2)**2 + sqrt(19))*5*6 - ((-1*sqrt(209)*2)\/sqrt(11) + -1)**2.\nAnswer: 1243 + 326*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 692 and 6.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let f(p) = p. Let k(c) = 8*f(c) + g(c). Suppose -32*j = -30*j - 4. Determine k(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.155 + 0.059. Let p = -1.65 + 1.71. Let u = g - p. Round u to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 536540 and 424.\nAnswer: 56873240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 + 4*l**2\/9 + 18*l - 36.\nAnswer: -2*(l - 9)*(l - 2)*(l + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2944 by -736.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from {t: 2, w: 2, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1)*5*-1 + 3*(sqrt(200) + 1 + sqrt(200) + 5))**2.\nAnswer: 260*sqrt(2) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 47, 39, 27, 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*i - 11, -17 = 5*i - 3*w - 0. Let r(p) = -18*p**3 + p. Calculate r(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36190 by -235.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*v - 23*v + 6*v)*(-v**2 - 7 + 7) + (0 + v + 0)*(0*v**2 - 5*v**2 + 3*v**2).\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -279543200, -279543201, -279543202?\n\"Answer: -q - 279543199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z**(3\/4)*z)\/z)))\/((z**(2\/7)*z)\/z))**16 assuming z is positive.\nAnswer: z**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n**4 - 13569*n**3 - 31291*n**2 - 20655*n - 2988 = 0 for n.\nAnswer: -12\/11, -1, -1\/5, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3782 - 0.0782. Which is the second biggest value? (a) 35.9 (b) -0.2 (c) -0.4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 6*f + 4. Let y be t(6). Let d be ((-525)\/55)\/(-3) - (4 - 1). Sort 0, d, y in increasing order.\nAnswer: 0, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*q. Suppose 3*m + q*m = -5*j + 19, -3*j + 21 = 5*m. Let i(k) = -k**3 + 5*k**2 - 4*k + 2. What is i(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110011010001110 (base 2) to base 14\nAnswer: 1771c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 904157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97 - 297151989305.\nAnswer: -297151989304.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543841501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8963802 divided by -2.\nAnswer: -4481901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.4445um to centimeters.\nAnswer: 0.01584445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19320 divided by -3.\nAnswer: 6440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*k + 6*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4012 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*r**2 + 127*h**2*r + 11173*h**2 + 49*h*r**2 + 105013*r**2 wrt h?\nAnswer: 4*r**2 + 254*r + 22346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 5, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 0.303.\nAnswer: 0, 0.303, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = -0. Let z be (2 - 2) + k + 1. Let f = 16 + z. What is the highest common factor of 66 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068600868 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29268 is divided by 5799.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19*q**3 + 26*q**2 + 27*q - 1. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 311.40071 to one decimal place.\nAnswer: 311.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/9 + 32*z**3\/3 + 320*z**2\/3 - 12800*z\/9 - 64000\/3.\nAnswer: 2*(z - 12)*(z + 20)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12781 + -12780.8. Which is the smallest value? (a) -0.5 (b) 3 (c) 20 (d) 5 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17636 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 - 59*z**2\/9 + 274*z\/9 - 24.\nAnswer: (z - 54)*(z - 4)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 73843.45kg?\nAnswer: 73843450000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 570181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30 and 36.64?\nAnswer: 66.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 17 - 1. Let f be (z\/10)\/(1\/(-5)). Suppose -3 = -3*n + 9. Solve -n*q = -7 - f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*t**2 - 95*t**2 - 73*t**2 - 1281*t**2 + 6*t**2 as o + w*t + j*t**2 and give j.\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 1 + 9. Suppose 4*u - 8 = 4*g + 48, -2*u - y*g = -46. Suppose t + 2 = -4*q + u, -t + 5*q = 3. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.2*43.4\nAnswer: 442.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y - 28*y - 393 = 0. Let b(f) be the second derivative of f**5\/120 + f**4\/4 - f**3\/3 + f. Let j(u) be the second derivative of b(u). What is j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**3\/3 - t**2\/2 - 10*t - 10. What is the tens digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at most as big as -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.49 + -0.49. Let a = -32 + z. Put a, -1, 7 in increasing order.\nAnswer: a, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710144433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) + 23 + -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 502 and 82697221?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19863\/15)\/(0 - 0 - 12\/(-120)).\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14927)\/(-66))\/(-23) - -10) + (-2)\/(84\/(-2303)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9*y + 5 + 7*y)*(-537*y - 526*y + 1083*y)*(-2 + 1 + 2).\nAnswer: -40*y**2 + 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - l - 1. Let f(p) = 5*p**2 - 5*p - 10. Suppose -6 + 1 = 5*x. Let k(w) = x*f(w) - 4*t(w). What is the units digit of k(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*x**2 + 2720*x**4 - 283 + 1901 - 280*x**2 with respect to x.\nAnswer: 10880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngn when three letters picked without replacement from {n: 3, d: 2, g: 12}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/((-2)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5 - 3*h**2 + 5 - h + 4 + h**3 + 0*h. Let t be u(3). Let l be -2 - t\/(9\/(-12)). Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 11101?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t*t*t*t**(5\/3)\/t)\/(t**1)**(-4\/9) assuming t is positive.\nAnswer: t**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.984057 millilitres to litres.\nAnswer: 0.007984057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(320)\/sqrt(10) + -5)**2 + 2*sqrt(2048) + -3 + 5.\nAnswer: 24*sqrt(2) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odnnnnkooooonnn. What is prob of picking 1 o and 1 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 2*h**3 + 41*h**2 + 18*h**4 - 9*h**4 + 4*h**3 + 2 - 11*h**4 as j*h**4 + f*h**2 + q*h**3 + v + z*h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, -2, 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.17672 + 2338?\nAnswer: 2333.82328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (-38)\/(-14). Suppose 8 - 17 = v*d. Is 0 - d\/3*12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 129.6899?\nAnswer: -123.6899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-80)*-4 + 1)*10\/18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x. Let h(u) be the third derivative of u**4\/24 + 2*u**2 + 85. Let l(p) = -6*h(p) + w(p). Let k(y) = 53*y**2 - 2. Give k(l(z)).\nAnswer: 53*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 14. What is the nearest to 1\/2 in 3\/4, -5, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 3*v + 10*z - 6*z, -5*v = 4*z - 156. Let r = v + 280. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*b - 154130, 5*b + 123306 = 4*n + 2*b. Let c be ((-374801)\/14)\/(2\/(-16)). Let y = n + c. Round y to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/120 and -133\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-81.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:30 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40246138901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 + -125644?\nAnswer: -125736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/((-3)\/6). What is the second derivative of -7*i**4 - 4*i**u - 4*i + 7*i**4 + 9*i**5 wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23 + (-2 - -5))\/(-2). Let b = d - 12. Is (927\/18)\/(b\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/3 + 28534*x**4\/3 - 342553*x**3\/3 - 28534*x**2\/3 + 114184*x = 0.\nAnswer: -28546, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000011373 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, s: 2, c: 1, v: 7, h: 4}. Give prob of picking 2 r.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 9*q**2\/2 + 11*q + 10. Differentiate x(j) wrt j.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081 minus 973.76?\nAnswer: -973.7681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/37464 and -44\/35?\nAnswer: 187320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -320 - -315. Let k be 2*((-8)\/6)\/4. What is the nearest to k in h, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 6, e: 2, u: 2, i: 3}. Give prob of picking 1 u and 2 y.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31257123374 and -990?\nAnswer: 31257124364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 4*o + 4. Let a be l(-3). Suppose -11*m = -26 + 1962. Let i be (m\/(-198))\/(1 + 14\/6). Are i and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -418.8 + 487. Let n = q + -69.2. Which is the nearest to -13? (a) -4 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 0, h = -0*n + 4*n - 16. Solve 0 = a + n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 0.06 (c) 7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 9*r + 366. What is y(14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*c**2*x**3*z + c**2*x*z + c*x**3 + 2*c*x**2 - 9*c*x*z wrt c?\nAnswer: -212*x**3*z + 2*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001348141 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 72*i - 145*i + 74*i + 0 - 1 - 53*i**2. Give w(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48384139 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882801 is divided by 7675?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2818 (b) -0.3 (c) 34 (d) -0.5 (e) 0.1 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*j + 10 = 0, -5*o + 4*o = -3*j - 25. Suppose -17*w + o*w = -75. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/4 - (-3)\/4. Let a be (1 - 4)*(-13)\/i. Let q = 19 + a. What is the greatest common divisor of 24 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15612 * -0.3.\nAnswer: -4683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f. Let z(j) = -2*j. Let t(u) = u. Let n(y) = 10*t(y) + 2*z(y). Determine n(o(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 581201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2763 - -4110. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyr when four letters picked without replacement from {r: 4, y: 11, o: 3}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/12 + 5*g**3\/3 + 11*g**2\/2 + 8*g. What are the prime factors of i(-11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(77) + sqrt(77)*5))\/(3*sqrt(1331)) + -4)**2.\nAnswer: -96*sqrt(7)\/11 + 2944\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.2 (b) -0.3 (c) -2\/21 (d) -2172 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*p + 25, 0 = 5*p - l + 1 - 52. Let h = 0 - -2. Suppose h*d = -3*d + 15. Solve k - j + 4 = 0, 0*j + d*j = k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {x: 7, e: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = 2*j. Let i be (j\/2 + 1)*-1. Let n(v) = 1. Let g(w) = -9*w**2 + 10 - 5 + 8*w**2. What is i*g(r) - 3*n(r)?\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 22*m - 46. Let q be z(-24). Let a be 3*(1 + q)\/(-9). Let k be ((-48)\/(-10)*a)\/(11\/165). Are -71 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/2 - 5*t**2\/2 + t + 11. Let s(y) = -y + 2. Determine -4*h(u) - 10*s(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12287 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 11429*k + 7770378.\nAnswer: (k - 10703)*(k - 726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -205*z - 5. Let x be u(1). Let o be ((-4)\/3 - -2)\/(35\/x). Which is the third biggest value? (a) o (b) 2 (c) 12 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642*r + 7282324 = -404*r. What are the prime factors of r?\nAnswer: 2, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/7 - 24\/7*v - 236\/7*v**4 - 60\/7*v**5 + 12*v**3 + 268\/7*v**2 = 0 for v.\nAnswer: -4, -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438137196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16.8 * 0.2\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -157*-32.97\nAnswer: 5176.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*o + o. Let k be (6\/(-4))\/(o\/(-6)). Solve k*u - 4*q - 20 = 0, -4*q - 27 + 7 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285 - 3137\/11. Let c = 53\/42 + -16\/21. Sort c, x, -1\/2.\nAnswer: -1\/2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-4)*4 + 2 + sqrt(68) + -1)**2.\nAnswer: -44*sqrt(17) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:09 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1419856 years in months?\nAnswer: 1.7038272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -61073.\nAnswer: -9\/61073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 4*a + 4. What is d(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350623 (base 8) in base 14?\nAnswer: 2257d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70305, -70405, -70505, -70605, -70705, -70805?\nAnswer: -70905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 5*g**2 + 42*g - 198. Does 9 divide x(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**3 - 2*s**2 + 3*s + 2. What is x(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*r*r**1*r*(r**6\/r)\/r*r\/(r*r\/(r*r*r*r**(1\/5)\/r)*r*r) assuming r is positive.\nAnswer: r**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -26*a**2. Let u(j) = -31*j**2 - j. Determine u(t(l)).\nAnswer: -20956*l**4 + 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0 + 0)*(0*g - g**2 + 0*g) + 31*g**3 - 274 + 274 - 3*g**3 - 6 - 114*g + 114*g.\nAnswer: 27*g**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 0, -65, -198, -423, -764, -1245?\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/24 - 11*k**2 + 18*k. Let i(x) be the first derivative of w(x). Let u(q) = 24*q. Determine u(i(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -53830326 rounded to the nearest 10000?\nAnswer: -53830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 8*v - 3018. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*a + 10, -4*a - 8 = 2*l - 4. Solve s + 0*s = 2*m, 4 = -l*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g + 4*s, 1 = -2*g - 4*s + 3*s. Is 1103 + (-5)\/(-10)*g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51 - -2345?\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 10*n - 14*n. Solve 2*z - n = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 100790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62871517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000333342 rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)\/(-3 - 625\/(-210)). Suppose 12*x - i = -9*x. What is the greatest common divisor of 20 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + 5 + (-6 - 8) + 54 + -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a2633 (base 15) to base 6\nAnswer: 15005250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1261 - 254 - 257 - 127 - 506*r**2 wrt r.\nAnswer: -1012*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.35436 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30\/17, 2\/11, 1\/2, 1, 365, -0.33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/33*1)\/2\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -25*s**8\/56 + s**7\/14 + 4*s**6\/15 + s**4\/6 - s**3\/6 + 524*s**2 + 4541*s. Find the third derivative of i(n) wrt n.\nAnswer: -3000*n**3 + 180*n**2 + 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r**3 + 9953*r**2 + 20042483*r?\nAnswer: 60*r + 19906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {k: 3, g: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -726069, -1452129, -2178189?\n\"Answer: -726060*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8, 0*c + 3*c = -2*o + 24. Let a = -10 - -40. What is the greatest common factor of o and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (0 - 4))*(-15 - -17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27172 + 27174. Suppose -6*b + 4*p + 8 = -2*b, -6 = b + 3*p. Let m be b\/(-2)*(-2)\/4. Sort m, -5, d in decreasing order.\nAnswer: d, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h**2 - 4*h - 18. Let p(z) be the third derivative of -2*z**5\/15 + z**4\/12 + 3*z**3\/2 - 3874*z**2. Calculate -5*p(t) - 3*s(t).\nAnswer: -5*t**2 + 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjtejtaaeyjyejyatd. What is prob of sequence ttej?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c - g - 112, 0 = 5*c + 2*g + 186. Let y = -38 - c. Solve -2*o - 8 = y, -4*u = 4*o + 3 + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 5. Suppose 17 - z = 2*w. What is the remainder when ((-22)\/8)\/(1\/(-8)) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*x**3 - 12766*x + 12766*x.\nAnswer: -139*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 18 = 5049*o - 5046*o, 12 = -o + 5*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -13825.\nAnswer: -2\/13825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -c22?\nAnswer: -c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -7*x - 16. Suppose 0 = -4*o + 5*n + 81, -2*o - 2 = 4*n - x. What is the remainder when 208 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 58*y + 446. Give f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52369 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978038140 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o - o - 3*o - 62*o + 38*o - 93*o + (0 - 2 + 0)*(-o + o + o) + 4*o - 4*o - o as r + l*o and give l.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 + 4 + -3 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*f - 22 = 0, 0*f = 2*o + 4*f - 18. Let z = -63\/2 - -33. Which is the biggest value? (a) o (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9972.286 millilitres in litres?\nAnswer: 9.972286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -2ccd79?\nAnswer: -2ccd7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -33*a**4 - 3*a**3 - 3*a**2 - 22*a - 3. Let b(g) = g**3 + g**2 - 2*g + 1. Let s(z) = 3*b(z) + q(z). Find the second derivative of s(j) wrt j.\nAnswer: -396*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 2*l**3 - l**4 + 69*l - 68*l + 0*l**3 - 2 to y*l**4 + m*l**3 + k*l + n*l**2 + r and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h - 1558. Let b be d(-91). Round b to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/3326887 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/35, 1, 2\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249861303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(700)*-2)*-4 + -2)*3.\nAnswer: 6 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k + 4793 = b + 36*k, -b + 4781 = -k. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 235074*m**2 - 3*m + 34. Let h be o(19). Suppose 6461716 = 4*l + 5*q + h, -78400025 = 4*l - 5*q. What is l rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6761 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010147 to seven decimal places.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 23*y - 5*j + 8, y - j = 0. Find the second derivative of -25*w**2 + 5*w - 21*w**y - 20*w**2 + 36*w**2 wrt w.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -620 + 26abf?\nAnswer: 2649f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 7*l**2 + 8*l + 4. Let k be a(8). Suppose -k*z = 4*c - 62 - 34, 3*z - 5*c = 80. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3533.573 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 + 4*w - 5. What is h(-4)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(42) + (1*sqrt(210))\/sqrt(5))\/sqrt(3))\/(-6*(sqrt(1008) + 2*sqrt(1008))).\nAnswer: -sqrt(2)\/108 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 2, o: 5, j: 4}. What is prob of picking 2 j, 1 l, and 1 z?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:07 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 182 = 342. Let k = c + -43. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-108)*2)\/(13\/78*-1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2 + 21*n - 1. Let s(x) = -29*x**2 - 23*x**2 + 107*x**2 - 4*x - 27*x**2 - 27*x**2. What is 11*s(d) + 2*v(d)?\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1834611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-550)*8)\/(1076\/1345)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6220, -16493, -26778, -37081, -47408, -57765, -68158, -78593?\nAnswer: -89076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15247885, 15247887, 15247889, 15247891?\nAnswer: 15247893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 5 - 3*m**3 - 7*m + 5*m**3 + 8*m**2. Let f be y(7). Let d be (-4 + 5)\/(0 - f). Which is the nearest to -0.1? (a) d (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2627*r**3*w**3 + 2480*r**3*w**2 + 544*r*w**6 + 2037*r*w wrt w?\nAnswer: 15762*r**3 + 65280*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/3, 33\/2 in decreasing order.\nAnswer: 33\/2, 2\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v + 4*v - 9*v to k*v + a and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 28242*l - 28244*l - 11, 3*l + 16 = 7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(175) + (sqrt(7) - ((-2*sqrt(7))**2 + 3)).\nAnswer: -28 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-2))\/((-6)\/(-198)). Suppose 5*q = t - 8. What is the greatest common divisor of 2 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b**(9\/7)))\/(b\/b**14))\/(((b\/(b*(b\/b**(-2\/71))\/b*b*b))\/b)\/b**31))**(-1\/42) assuming b is positive.\nAnswer: b**(-22237\/20874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*9.84\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnbjbuhbb. Give prob of sequence bbjn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35813264?\nAnswer: 2, 191, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 16 (b) -0.4 (c) 7 (d) 2\/5 (e) -4 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/4329 and 80\/53391.\nAnswer: 160173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 8*f**2 + 11*f - 20. What is s(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/15*(-33)\/2. Let d = -9 - u. What is the remainder when 37 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/5166 and (3 - (-67)\/(-20))*(-5 - (-272)\/51).\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63035664 - -52?\nAnswer: 63035736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 2*t + 122. Calculate r(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -301322?\nAnswer: 301322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66240230 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5427.3499 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 1. Let j = z - 0.4. What is the nearest to -1\/3 in -0.2, 2\/7, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 30 = f - 2*f, 26 = 2*h + 5*f. Suppose -q + 5 = -h. Solve 5 = -2*o + q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8.014. Let z = -145149.9859957 + 145150. Let b = g - z. Round b to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 14*v**2 - 5*v - 33. Let l(p) = -3*p**3 - 29*p**2 - 9*p - 65. Let b(g) = -2*l(g) + 5*s(g). Is b(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-26 + -1 - (-129 + 108)) + (2 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 539 - 540. What is the nearest to 1\/4 in 8, -0.02, -0.4, u?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 57*o**2 - 12*o + 2695. What is u(58)?\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Let m(s) = s**3 - 5*s**2 - 3*s + 6. What is m(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let c(l) = 2*l**2 - 3. Let v(s) = s**2 - 2. Let q(b) = -5*b**2 + 10. Let a(h) = -4*q(h) - 22*v(h). Calculate y*a(w) - 3*c(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 34*i + 2. Let r(h) = -2*h**2 - 28*h - 3. Give -3*r(b) - 4*w(b).\nAnswer: -2*b**2 - 52*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 7*h + 12, -5*k - 3*h + 59 = 0. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 238, 0.57, 7317?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:21 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6713187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7351239*j**2 - 16849885*j?\nAnswer: -14702478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1230 and -173\/1230.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - s = -131, 3*u - 4*s - 41 = 81. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 + 7912*m - 268348. What is h(35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.3, -2\/3, -197223?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15014 + 15010. Sort h, 30, -25, 4, -5 in increasing order.\nAnswer: -25, -5, h, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-51 - -63)\/(1\/(-94)*-2).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*q - 144*q = -6*y + 192, 2*q = 5*y - 164 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -28.2. Let c = 25 + h. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 61. Let w = 22 + t. What is the second derivative of w*h + h**4 - 5*h + 13*h + 12*h**4 wrt h?\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26108093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 956 - 9?\nAnswer: 94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {h: 1, m: 9, x: 2, b: 1, l: 1, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 7*v - 10. Let m be p(8). Let w(a) = a**2 - a + 1. Let c(h) = 95*h**2 + 6*h - 2. Let t(d) = c(d) + 4*w(d). Is t(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 10:06 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -124\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 851186 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.348 - -12.148. Let t = 0.02 + -0.04. Let x = -0.12 - t. What is the nearest to 3 in x, -1, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 899*k + 1293. What is the thousands digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -0.7. Let a = 85\/4 + -21. What is the biggest value in a, t, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -22*(-2 + (-9)\/6). Let x be 3684\/(-42) + 2\/(-7). Let n = x + 99. Calculate the highest common divisor of a and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4956 and 41412.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9665910 is divided by 4832951.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5653\/6 - -62101\/66. Calculate the common denominator of t and 67\/675.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(14\/(-6)) - (46 - 23171\/423). Suppose 14\/3*x - 10\/9 + c*x**3 - 68\/9*x**2 - 2*x**4 + 2\/9*x**5 = 0. What is x?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 15*u + 1028 = 0. Let w = u + 1061. List the prime factors of w.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + ((2 - 5) + -11 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j. Suppose j = c + 1 + 1. Suppose 0 = -2*r - 2*r + 16. Sort r, -1, c in ascending order.\nAnswer: c, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 - 8*s - 8. Let m be d(-6). Let x = m - -2. What is the common denominator of (-73)\/x*(-10)\/20 and -59\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, a: 1}. Give prob of sequence ph.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053 (base 14) in base 12?\nAnswer: 108b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**3*u**3 - 10037*o**3*u**2 + 2*o**2*u**3 + 2*o**2 - 52*u**2 + 726*u wrt o.\nAnswer: -36*u**3 - 60222*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {w: 3, h: 17}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(468) + 4)*6.\nAnswer: 24 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.45 - 0.45. Is c smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvyvyyvyyvyyvvyv. Give prob of picking 3 v.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 8. Let n be m(-3). Suppose 0 = 7*x - n*x - 51. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))\/(a**(2\/9)*a))\/(a**(-5)*a**(-2)) assuming a is positive.\nAnswer: a**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7133556 - -142400913\/20. Let w = 13516 + i. Calculate the common denominator of -85\/2 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414783 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -147, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2048)*2)\/(-2*sqrt(4)*2))**2 - ((-2*sqrt(96) + sqrt(96))\/(sqrt(12)*1) + 2)) + 3.\nAnswer: 2*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009018007?\nAnswer: 3, 23, 29, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 2. Let s be z(-5). Let a(f) = -110*f - 2. Let y be a(s). Let o = 495 + y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -19*w + 123. Suppose 40*d = w*d + 1. Which is bigger: d or -1.7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 88895014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(4)\/sqrt(2) - ((sqrt(8) - sqrt(2)) + -2)) + (sqrt(12) - (sqrt(120)\/(sqrt(10)*2) - sqrt(12)))\/sqrt(6))**2.\nAnswer: 3*sqrt(2) + 11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -651, -1308, -1965, -2622?\nAnswer: -3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 532 - 532.6. Sort j, -1, -5, 4, 60\/13.\nAnswer: -5, -1, j, 4, 60\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35428\/(513\/45 + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 3:27 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 3*sqrt(110)*-1 + sqrt(110) - sqrt(110) - sqrt(110))\/(-2*sqrt(90) + sqrt(90) - sqrt(90)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h. Suppose 3*g - 27 = -h*g. What is the lowest common multiple of 2 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86876.2278 * 2.\nAnswer: -173752.4556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(18)\/(sqrt(9)*3) + 4.\nAnswer: 2*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/238*(-12)\/9\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3143639 microseconds?\nAnswer: 0.0000003143639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13876.83 months in millennia?\nAnswer: 1.1564025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1650135 divided by -37.\nAnswer: 1650135\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.82, 9\/35, -1\/7?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*b + 2*b + 20 = 0, 0 = 5*o - 3*b - 72. Let z(a) = -a**2 - 3*a + 17. Let r be z(-5). Let m = o - r. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**3 - 4*x**2 - 7*x - 2. Let d(o) = -38*o**3 + 12*o**2 + 22*o + 5. Let m(h) = -2*d(h) - 7*t(h). Does 10 divide m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 750 - 696 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 2. Let d be c(-3). Let l be (d\/10)\/((-4)\/(-10)). What is the third derivative of l*n**5 + 0*n**3 - 4*n**3 - 3*n**2 + 4*n**3 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:17 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 + 38 + -10 - 1 - 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 6) to base 10\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.15, 0.1, -14.6093, 1?\nAnswer: -14.6093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + (0 - -9) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 9*c**2\/2 + 78*c + 338 = 0.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5702 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(-4 + sqrt(33)\/sqrt(3)))**2 + 1)*-5.\nAnswer: -555 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = -2*w, -5*w = -0*w + h + 5. Let z(o) = o**3 + 2*o**2 + 3*o + 3. Give z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -26918.\nAnswer: -7\/26918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*b + 44 = 0, 14*b - 2 = 16*b. Solve 73 = -z*i + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + (-6 - (5 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*u - 624*u - 32 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 74 - 22 = 0. Suppose 541 = z*q + 3*k, -3*q + 412 = -8*k + 4*k. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:05 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -12 - (2 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -3*k**2\/2 - k + 63. Let j(p) = -16*p - 4. Give 11*h(x) - 2*j(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6384, -6386, -6388, -6390?\nAnswer: -6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 842499.8ml to litres.\nAnswer: 842.4998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184999 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/167 and -22.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2*w - 534*m**2 - 54163*m - 54380915*w wrt m?\nAnswer: -4*m*w - 1068*m - 54163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -21 + 21 + 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose 0 = 3*w + 3*o - 3, -2*w - 2*w + p*o = -4. Is w at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 48\/25)\/((-31)\/(-155)). Let x = -0.05 - -5.05. What is the third smallest value in -1\/4, n, x, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 + 197 = -k + 2*z, 3*z = -5*k - 59 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*b - 513*b - 1277*b to the form a*b + z and give a.\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 - 6*u**2 + 12. Let l(k) = 2*k**3 - 2*k**2 + 4. Calculate -2*h(m) + 7*l(m).\nAnswer: 2*m**3 - 2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*n**3 - 9*n**3 + 820*n**2 + 66*n**3 + (0*n**2 - 2*n**2 - n**2)*(1 - 1 + 2*n).\nAnswer: -4*n**3 + 820*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 5*o.\nAnswer: 5*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 13*s**4\/12 + 35*s**3\/6 + 54*s**2 - 3. Let v be t(0). Solve -5*r = -2*i - 3*i - v, -4*r + 24 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -554 less than -554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/5 - 82*f\/5 + 84\/5 = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 15 = 3*l, -4*d - 10 = -0*l - 2*l. Solve 10 = -2*f - 2*t, -15 = -4*f - d*f + 3*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 5686 = -8*m. Let n = 1 + -1. Suppose 5*l - m - 744 = n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-4)\/(520\/(-1550)) + (-42)\/(-546)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1377) + 0)*-4)**2 - ((sqrt(17)*3 + -4)**2 - (-1 + -2*sqrt(17))).\nAnswer: 22*sqrt(17) + 550630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4692?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-122))\/((64\/(-680))\/(-8)) and -5\/4?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:10 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66327, -132045, -197763, -263481?\nAnswer: -329199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n + 31. Let p be i(-3). Suppose q = -p*a + 1844, -4*q = 2*a + 61 - 969. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3229933373 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7 - 14 + 9. Suppose 102 + 43 = w. Let h = w - b. What is the greatest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 10*c + 1. Let m be i(-10). Let t(l) = 13*l**2 - 16*l - 10. Let f(g) = -2*g**2 + g + 1. Let p(u) = m*t(u) + 6*f(u). Determine p(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18537 - -33287. Round n to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64.93 - -67. Let h = -0.2 - -0.27. Let n = g - h. Which is the closest to 1? (a) -1 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 27*m**3 - 94*m**2 + 3*m. Let s(w) = -56*w**3 + 190*w**2 - 7*w. Give -7*k(a) - 3*s(a).\nAnswer: -21*a**3 + 88*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8163 <= -8164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*s - 3*k = 124*s + 2, -s - k = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6130217 divided by -7.\nAnswer: -6130217\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 7*n - 41. Let s be y(12). Let q = s + 106. Suppose -h - 3*h = -4*r + 1108, -2*r + 533 = q*h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 - 13 - 1 + 45*q**2 - 21*q**2.\nAnswer: 2*q**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 - 1) + -29 + 18. Sort 1, y, 85 in decreasing order.\nAnswer: 85, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-348)\/15)\/(7\/(-35)). Let a(k) = 3*k**2 + 5*k - 6. Let s be a(5). Suppose 5*d - s = n. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**12\/z*z*z\/(z\/(((z\/z**37)\/z)\/z))*z*((z*z**15*z)\/z)**(-11) assuming z is positive.\nAnswer: z**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 301\/(-28)) + -5\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 14*w - 109. Let i = 124 - 115. Calculate the least common multiple of d(20) and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1736.\nAnswer: 173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 0*r**3 + 6*r**2 + 0*r**2 as x + d*r**2 + m*r**3 + j*r and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 + 628*c**3 + 1 + 6*c - 383*c**3 + 15*c**2 to d*c + g*c**2 + q + m*c**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1326, -2654, -3982, -5310?\n\"Answer: -1328*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 12*v - 1\/4*v**4 + 1\/2*v**2 - 2 + 1\/3*v**3. Let b be h(0). Solve i = -2*i + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1371 divided by 5.\nAnswer: -1371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2230\/892*38\/(-209).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -10\/3333?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8016 and 236918224.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 59.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 2*u + 2*u + (2*u + 3*u - 4*u)*(2*u - 2*u - 2*u) + (-3*u - 1 + 1)*(-33*u - 59 + 59).\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 1. Suppose 5*m + 4*a - 41 = 0, 4*m - 43 = a - k. Let c be (m\/6)\/(3\/10). Let p(g) = -g**2 + 5*g + 4. Determine p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1061*g**3 + 3*g**2 + 476*g + 6615175?\nAnswer: 3183*g**2 + 6*g + 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 22 + 34 = 0. What is the first derivative of -2*l**4 + 8 - 29 + 0*l**4 - k*l**4 wrt l?\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.35276ng to milligrams.\nAnswer: 0.00003535276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 47 + -18 + 30 + -4 + 5 + 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/139 - 9767\/2085. Let b = f + 26\/5. Let 0 + b*s**2 - 2\/3*s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 14*q**2 + 9*q + 6. Let b be p(-11). Suppose 0*n - 3*n = 0, -4*n + b = 5*m. Let w = -5 + m. Calculate the remainder when w is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -3, 1, 4, -2 in decreasing order.\nAnswer: 54, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, e: 4, k: 10}. What is prob of picking 1 j and 2 x?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 7*n - 8. Let p be t(-7). Let m = 1 + p. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45\/133 + 1\/19. Let t = 0.01 + 1.99. Let s = 3 - t. What is the closest to u in 0.2, s, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4)*(155\/25 - 7). Suppose -w*o - 4*n = n + 9, 2*o = -n + 11. Solve 2*f + 8 = v + 3*v, 2*f - 3*v = -o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w)**(-11\/5)*(w**(1\/10)*w)\/((w**4*w)\/w) assuming w is positive.\nAnswer: w**(-277\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(-42)\/49*(-7)\/(-7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1389, -2618, -3851, -5088?\n\"Answer: -2*h**2 - 1223*h - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -23 - 97. Suppose 0*n - 3*n + h = 0. Solve 0 = -r - n + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6081981 and 591.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52 - 0)\/4 - 3. Suppose -5*f = -15 - b. Suppose -2*l = f*l. Put 3, 4, -2, l in descending order.\nAnswer: 4, 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634*z + 631*z + 72 = 0. Find the third derivative of z*b**6 + 3*b + 72*b**2 - 30*b**6 - 3*b wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 4453?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 848358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13179?\nAnswer: 3, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 8, h: 3}. What is prob of picking 1 y and 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 301199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23261221752 + -4?\nAnswer: 23261221746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -23*y**4\/2 - 25*y - 34. Differentiate r(p) wrt p.\nAnswer: -138*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 24 = -3*d, 3*i - 4*d = 2*i + 19. Suppose -10 = -4*x + i*f, 2*x + 8 = -0*x - 5*f. Is 20 a factor of ((-18)\/(-4))\/(x\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, -3\/8, 0, 0.0648?\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041364 to three decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -48. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -253. Let x = 219 - b. Put 1\/4, x, -2, -2\/5 in descending order.\nAnswer: x, 1\/4, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 j when three letters picked without replacement from {v: 2, n: 1, j: 1, y: 1, o: 3, x: 4}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 25. Let t = u - -42. Suppose -i + t = 2*d, -4*d + 2*i + 23 = 5. Solve 0 = 5*b - 8 - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 6*d + 12. Solve -y - d = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((3*sqrt(304))**2 - sqrt(304)) + sqrt(304) + 2 + -3 + -4)*4*6 + 5.\nAnswer: 65645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 9408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**3 + 2*u**2 - 164*u + 830. Determine l(6).\nAnswer: 2942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 4*t - 1 = 0, 5*n + 5*t - 55 = 0. Let k be ((-6)\/(-9))\/(3\/n). Factor 40*a + 4*a**2 + a**2 - 10*a**3 - 21 + 36 + 10*a**k.\nAnswer: -5*(a - 3)*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 9*j - 7. Let i be f(10). Let w be -4 + i - (-14 - 0). Let d = w + -5. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 35*i**2 + 52*i**2 + 23*i**2 - 49*i**2 - i**2. Let m(h) = -8*h**2 + 2. What is m(r(k))?\nAnswer: -28800*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**3 - 5*v + 5. Let i be 1 + 45\/(-12) - 1\/4. Let n be i + -3 + 5 + 6. Let r(b) = 7*b**3 + 4*b - 4. What is n*j(l) + 6*r(l)?\nAnswer: 2*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-9))\/11*3\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*b**2 - 65*b**2 + 27*b - 92*b**2 + 21*b**2 + 9*b - 2.\nAnswer: -208*b**2 + 36*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16000005 - -0.16. What is t rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264224.\nAnswer: 2, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**2 + 56*m**2 - 3*m**2.\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:03 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21468 + -21462. Let x(h) = 53*h - 317. Give x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7*m = 4*h + 2, 0 = 2*m + 2*h - 4. What is the highest common divisor of m and 2215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3368 and 46408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let m(v) = -816*v + 28. Let a(k) = -32*k - 2. Let y(g) = 56*a(g) + 4*m(g). Give r(y(o)).\nAnswer: 25563136*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1310, 2376, 3442, 4508?\n\"Answer: 1066*m + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485947307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 - 28 = 0. What is the common denominator of 2\/2 + 29\/b and -73\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*a - 227, 4*l - 2*a = 2*l + 232. Suppose -l*v + 15 = -112*v. Solve 3*s = v*d - 25, -6*s + 2*s - 22 = -d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let a(q) = -8*q**2 + 12*q + 2. Determine a(n) + 10*p(n).\nAnswer: -8*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310203919 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 + 11 = 0. Let l(z) = -8*z**2 + 6*z + 2. Suppose -16*g + 10 + 17 = 91. Let a(p) = -7*p**2 + 5*p + 2. Determine g*l(q) + y*a(q).\nAnswer: -3*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-1\/26)*u*u**(24\/5)*u*u*(u**(2\/9)\/u*u)**32 assuming u is positive.\nAnswer: u**(19741\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, b: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*p = -465*p - 9780000. Round p to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m - 5*m)*(-m**2 + 0*m + 0*m) - 6*m**3 - 3*m**3 + 2*m**3 + (-6*m**2 + 2*m**2 + 5*m**2)*(-9 + 9 - m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9180.8 + 9992. What is m rounded to the nearest 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 7}. What is prob of sequence ev?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57528, 57431, 57334?\n\"Answer: -97*q + 57625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -1135420.\nAnswer: -27\/1135420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 6*y**2 - 5*y - 15. List the prime factors of f(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + 4. Which is the nearest to 1\/5? (a) l (b) 0.1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d + 10 = 0. Let m = 8 - d. Suppose 0 = 3*a - q - 19, 39 = 4*a - q + 13. Calculate the least common multiple of m and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13646899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2 + 5 - 1 - 2 + (-1 + 2 + 1)*(-1 + 2 + 1) - 2 + 2 - 1 - 20 + 24 - 32)*(3*m + m + 4*m)*(-3 + 0 - 1) in the form s*m + k and give s.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*o - 84, -z - 14 - 30 = -3*o. Let i(a) = -a**2 + 15*a + 16. Let d be i(o). Factor 0 + 2\/3*q**2 + d*q.\nAnswer: 2*q**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/2 + 3*z + 135\/2 = 0.\nAnswer: -9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -26. Suppose 8*p + 494 = 4*h + 3*p, -p = 2*h - 240. What is the remainder when h is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-54)*(-783)\/(-58)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 - 5 = 0. What is the second smallest value in -1, -0.07, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 10000110000111?\nAnswer: 10000101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 21*z + 108. Let x be k(-13). Solve -4*h = x*v - 2 + 10, -2*h = -v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -61 (b) 321\/77 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(80) + -2*sqrt(3)*2.\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 516*l + 5681. Determine k(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746738414.\nAnswer: 2, 3, 449, 216127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1163*i - 1714 with respect to i.\nAnswer: 1163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + ((-9095)\/1275 - (-1)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 78. Solve -4*p = 4*r + 24, -t*r = 3*p + 12 + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 41*q**2 + q - 2. Let t be -5 + 6 + -2 + -1. Let k be r(t). Calculate the greatest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v - 9. Let p be 119\/28 - 2\/8. Let f(k) = 2*k - 4. Let z be f(p). Sort v, 0, z in descending order.\nAnswer: z, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3669, -7337, -11005?\n\"Answer: -3668*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0.3, 4, 413, 52, 0.4 in descending order.\nAnswer: 413, 52, 4, 1, 0.4, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1489*q**2 + 15740*q**2 - 1729*q**2. Let r be i(2). What is r rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1559608750 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/782 and 75\/38786.\nAnswer: 15165326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147.399643 - -147.4. What is u rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15814055, 15814057, 15814059, 15814061, 15814063?\nAnswer: 15814065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjoza. Give prob of picking 1 z and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -262536, -262540, -262544?\n\"Answer: -4*c - 262532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/((k**(-2\/13)\/k*k)\/k)*k*k\/k**(-2\/19))**(-28\/9))**(-8\/11) assuming k is positive.\nAnswer: k**(346304\/24453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 (base 9) in base 5?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kskkkktkk.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.64 and -5.\nAnswer: -98.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 245766 = -3*u - 245734, 2*u = -2*q + 26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2592 = -5*w - 3*b + 6781, 0 = b - 1. Is w\/14 - 6\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (26\/(-10))\/((-16)\/80)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 10. Let a be s(6). Let v = -22 - a. Let d(k) = 2*k**2 - k - 17. Is d(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -4*t + 2 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 25. Let d = 16 + 17. Calculate the remainder when d is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/10)*d*d**(2\/9))\/(d**(-1)*d**(-3)))**10)**(1\/63) assuming d is positive.\nAnswer: d**(71\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 1\/7, 4, 0.2 in decreasing order.\nAnswer: 4, 0.2, 1\/7, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Suppose -10 = -u*f - 2. Suppose t - 23996 = -g, -2*g - 25278 - 22730 = -f*t. Round t to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-65)*-10*-39*38*(-5)\/20.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(605) + sqrt(605)*1 + sqrt(605) + sqrt(605))*-6 + ((sqrt(420)*-1)\/sqrt(12))\/(1*(sqrt(14)\/sqrt(2) - sqrt(7) - sqrt(7))))**2.\nAnswer: -9468*sqrt(5) + 346169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*k - 35, -3*k - 5*p - 37 = -4. Let r be (-1)\/4 + (-100)\/k. Find w, given that -w + w - r*w - w**2 - 9 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)*38\/6. Let m = -3 + 5. Factor j*x - 3*x**m + 7*x**2 - 3*x.\nAnswer: 4*x*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371636 is divided by 185759?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -436, -5, 5, 6, -33 in ascending order.\nAnswer: -436, -33, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 154676153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**2 - 11*g + 149. Let c(z) = 4*z**2 + 6*z - 75. Calculate -11*c(l) - 6*t(l).\nAnswer: -2*l**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031 + 3032?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 704 + 234. Suppose -3*i - 6*j + j = y, -2 = j. Let u = 59 + i. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21220 + -21224. Let s be (-2)\/6*-4 - 1. Put s, 0.5, c in increasing order.\nAnswer: c, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/601 + -209779\/1803. Let b = c + 8707\/75. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let o(d) = 2 + 22*d**2 - 10*d**2 - 2. Determine y(o(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*q + 5119 - 1775 = -3*m - 348*q, q - 4 = 2*m - 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13886*d**2 + 6*d + 6623. Let g(y) = 13885*y**2 + 7*y + 6574. Let i(b) = 6*g(b) - 7*s(b). What is the first derivative of i(l) wrt l?\nAnswer: -27784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**6\/2160 + v**5\/720 - 2*v**3\/3 - 3. Let b(f) be the third derivative of h(f). What is k in b(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 322010720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.1, -3\/166?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 111 + (113 - 299)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**5 - 14*y + 14*y + (-3*y**2 - 2*y**2 + 4*y**2)*(46*y + 25*y**3 - 46*y).\nAnswer: -29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 3) + (-136 - -120).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2287*k + 776*k = 804*k + 201051 for k.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.363610116 to 5 dps.\nAnswer: -0.36361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*q - 90399 = -0*l, 0 = -4*l + 2*q + 361686. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 56510919*f + 19*f**3 + 56510919*f.\nAnswer: 19*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from budoipb. Give prob of picking 1 p and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3))\/((-2)\/4*-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16860)\/300 + -11)\/((-1)\/290). What is the highest common divisor of t and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.06, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, -0.06, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 11, x: 2, g: 1, t: 3}. What is prob of sequence jat?\nAnswer: 11\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Suppose 0 = -24*l - 13*l + 10*l. Let t(j) be the first derivative of l*j + 0*j**2 - 2\/3*j**3 - 4. Calculate b(t(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 divided by -86?\nAnswer: -206\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 4*u - 1. Let z = 2 + -2. Let r = -4 + z. Let q(x) = -2*x**2 + 7*x + 2. Give r*q(a) - 7*k(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -443, -9, -690, 1\/7.\nAnswer: -690, -443, -9, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/14 + 2\/14. Solve -3 = -v*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - q - q - 34 = 0, 0 = q - 4. Let a(l) be the third derivative of l**4\/24 + l**3\/3 - 13*l**2. Does 16 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 - b - 1. Suppose 16 = -9*x - 2. Let l be r(x). Suppose -l*v + 20*v - 90 = 0. Solve -v = 5*c - 2*f, 2*f + 5 = 3*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 - -131.7. Which is the third smallest value? (a) -2\/5 (b) 0.3 (c) n (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 36*f + 286. Suppose -2*x + 119 = 39. Suppose -4*d - x = -4*q, -2*q + 3 = 2*d - 1. Calculate the remainder when k(25) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*s - 35 = 0, 4*k - 173*s = -171*s + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 33. Let f = 138 - 148. Let i = f + d. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11972*w - 13503*w - 22596*w.\nAnswer: -48071*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 6*n - 18 = 0. Suppose 2*z - 90 = -4*f, n*z - f - 3*f - 125 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269774912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (-8 - -18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739950 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Suppose -d*b - b + 25 = 0, b = 4*i - 7. Suppose i = -f + 10. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 + (4 + 0 - (62 + -54) - -42)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 18. Let z = x + 98. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*21\/182)\/(4\/988)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -4, -296, -24, 6\/11, -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3\/9 - 116*o**2\/9 - 268*o\/3 - 140 = 0. What is o?\nAnswer: -3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826796 to the power of 1\/2, to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001207 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 + 7*q + 5. Let c be n(-6). Let y = c - -2. Solve 0 = 3*h - 5*f + y, f + f - 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.653 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, k: 5}. What is prob of picking 1 n and 1 k?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmrf when four letters picked without replacement from {r: 1, q: 3, c: 3, f: 5, m: 3}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = -4*j + 4*i, -j + 0*i - 56 = -2*i. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*z + 21 = 0, 7 = -2*u - 3*z - 7 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-622)\/(-6531))\/(188\/84).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -83. What are the prime factors of -3*7\/6*60\/s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 + 15*c**2 - 33*c + 93. What is the units digit of f(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/3 - 2507654*n**2\/3 - 786044834432*n\/3 - 786037311488 = 0.\nAnswer: -626912, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.015 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u - 8. Let q be 3\/(-24)*-18*u\/(-3). Solve -4*r + 35 = -q*f, -5*r + 0*r + 5*f + 50 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 22. Let q(c) = 16*c. Give q(z(j)).\nAnswer: 16*j - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 652*f**2 + 9141*f - 261. Give y(-14).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 - 48 + 6*r)*(-r**3 + 1 - 1)*(1 - 4 + 0) to the form k + f*r**3 + p*r + s*r**4 + x*r**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102.1618 - 0.3.\nAnswer: 101.8618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075727659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -4, -1\/10, 6\/7, 3\/5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -35. Let x(y) = -y**3 + 10*y**2 + 4*y. Does 24 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10636 is divided by 1769.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45876 (base 16) to base 9\nAnswer: 473583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 6*v + 2. Let y(u) = -13*u**2 - 27*u + 21. Let c(r) = -3*r**2 - 7*r + 5. Let q(o) = 9*c(o) - 2*y(o). Calculate -7*a(j) + 5*q(j).\nAnswer: 2*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**2 + 0 - a + 0*a**3 - 1\/6*a**4. Let b(r) = 5*r**2. Let p(g) = -2*g**2. Let n(u) = 3*b(u) + 8*p(u). Give n(s(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 8. What is the greatest common divisor of i and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m. Let j(i) = i - 4. Suppose -2*t - 5*w + 7 = 0, 2*t = -3*w + 8 + 1. Let f be j(t). Let q(c) = -c**2 + 5*c**2 - f*c**2. Calculate q(k(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = 3*w, -2*w - i - 17 = -6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 11) to base 9.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4476701 to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:37 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) 0 (c) -33\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Let h(z) = -5*z**2 - 5*z + 10. Let f(n) = 3*n**2 - 13*n + 2. Let r(p) = -2*f(p) - h(p). What is r(y(g))?\nAnswer: -4*g**2 + 62*g - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*w + 74. Solve 4*g - 5*g + w = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/c**8)\/c)\/c)\/(c*c*c*(c*c**(2\/3)*c*c*c)\/c))**(-17\/3)*(c**(1\/7)*c\/(c\/(c\/(c*c**9))))**(7\/5) assuming c is positive.\nAnswer: c**(3182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18 (b) 1 (c) -5\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 742 + -675.4. Let i = 9.6 - x. Let s = i + 56.99999946. What is s rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -18, 10, 60, 138?\n\"Answer: g**3 + 2*g**2 - g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 4}. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 49 = 5*u, -3*k - 13 = -u + 6. Let l be k\/(-52) + (-312)\/(-169). Let m be 8\/6*(-18)\/12. What is the second biggest value in l, -4, m, 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 195, 457, 855, 1407, 2131, 3045, 4167?\n\"Answer: 3*w**3 + 41*w**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/60 + s**4\/24 - 2*s**2 - 10*s. Let g(t) be the first derivative of f(t). Determine b so that g(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 10\/2) + 0. Let a = 0 - v. Suppose -a*y = 3*o - 7*y - 50, -y = 5*o - 45. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 2*g, 0*n + n + 2*g = 13. What is the highest common divisor of 55 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 12*f - 11. Suppose -3*h = -5*w + 54, -32 - 7 = -5*w - 2*h. Let y be l(w). Let u = -26 - y. Calculate the greatest common factor of 18 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(117)*4 + 4*(sqrt(117) + 1*sqrt(117)))\/((sqrt(90)\/sqrt(45))\/(sqrt(192)\/sqrt(6))).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7500*f - 21*f**2 - 7504*f + 22497*f - 7493*f - 9*f**2.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59586 plus 749.25?\nAnswer: 60335.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, j: 5, r: 1, a: 3}. What is prob of picking 2 a and 1 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(1 + 0 + 1)*(-218*r + 48*r + 45*r) + 0*r + 2*r - 3*r.\nAnswer: -501*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15, 24*x + 115 = 29*x + 5*p. Suppose 2*t + 16 = 62. Let k = t - x. What is the greatest common factor of 12 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 68?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/6 + 1991*d**3\/2 - 6959*d**2 - 23864*d\/3 = 0.\nAnswer: -1, 0, 8, 5966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 11. What are the prime factors of -5 + 5 - (-1 + v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/14)\/((-408)\/(-102))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 165 = 21 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2 - 1783*c - 1861. What is r(-197)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w + 2 - 4*w**2 + 5*w - 10*w**2. Let x be ((-9)\/18)\/(2\/(-52)). Let d be c(x). Solve 3*g + d*g = -20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*r + 468*r - 3496 = -1095 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - -11?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 692670*g*u - 1290*g - 38 wrt u?\nAnswer: 692670*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 701 - (-8 - (-5 + 10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -18*b + 4. Let k be l(4). What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 7214.\nAnswer: -4328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, -44, -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -1\/4*t**4 + t - 4 - 1\/2*t**3 + 0*t**2. Let h(f) be the first derivative of d(f). Solve h(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368631 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1514458, 3028901, 4543344, 6057787?\n\"Answer: 1514443*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-364)\/6*3*26\/(-4). Let p = g - 633. Round p to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0 - 81)*(-5 + 4). Suppose 4*x - 5*o - s = 0, -3*x + 53 = o - 33. Calculate the greatest common divisor of 81 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 11. Let d be p(0). Let b = d + 20. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**3 + 9*z**2 - 3*z - 3. Let x(s) = s**3 - s**2 + s + 1. Calculate a(t) + 3*x(t).\nAnswer: -7*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3. Let k(u) = 2*u + 33. Determine -4*g(w) - k(w).\nAnswer: -2*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 12. Let m be i(5). Let v(t) = t**2 - 5*t - 4. Let d be v(5). Let l(p) = -14*p. Let h be l(d). Calculate the greatest common divisor of m and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l)\/l**4)\/(l**(5\/3)\/(l\/l**(-4)*l)) assuming l is positive.\nAnswer: l**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:13 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-6))\/(12\/1195680). What is b rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + ((sqrt(12)\/(-5*sqrt(6)\/sqrt(3)))\/(5*-3*sqrt(27)))**2).\nAnswer: -101252\/10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 339, 1293, 2879, 5097, 7947, 11429?\n\"Answer: 316*a**2 + 6*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3898*u**3 - 11718*u**3 + 3858*u**3 + 3863*u**3.\nAnswer: -99*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u**(2\/3)\/u)**28\/((u**(-1)\/u**(-2\/3))\/(u**(-1\/6)*u**(-5))) assuming u is positive.\nAnswer: u**(251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 5*t**2 + 5*t + 7. Let s(g) = g + 1. Let r be s(5). Suppose -2*o - r = -o. What is the tens digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 212 = 4*s, -s + 0*n - 71 = -5*n. Let i = -29 - s. Calculate the highest common factor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 8*x + 6. Determine q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9146, -9145, -9150, -9161, -9178?\nAnswer: -9201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/17765 and -14\/33.\nAnswer: 53295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4559, 4556, 4553, 4550, 4547?\n\"Answer: -3*f + 4562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-4)*(0 + (-26002)\/10). Let l = z + 3227. Calculate the common denominator of 29\/10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/36708820 and -77\/4192.\nAnswer: 293670560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -90.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(-36118*t**3 - 3459*t**4 + 3488*t**4 + 36118*t**3 + 7532*t**4) as f*t + z*t**3 + o*t**4 + y*t**2 + c and give o.\nAnswer: 7561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.2 (b) 10 (c) 15\/8 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/(-798))\/((-10)\/84).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i - 2167 = 48*i. What are the prime factors of i?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 21*x + 21 = -4*j, 2*j + 7 = x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Let z be (-7)\/4 + (-2)\/8. Let m be 5\/3 - (-8)\/(-3). Let u be z\/1 + m - -8. Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2 + 2*u**4 + 3*u**4 + (3*u**2 - 3*u**2 - 6*u**3)*(-3*u + 3*u + 2*u).\nAnswer: -7*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0)**2 - ((sqrt(1900) + sqrt(1900) + 0 + sqrt(1900))**2 - sqrt(1900)).\nAnswer: -16929 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*4*5 + (-2 + sqrt(147))*-5)*2*-2)**2.\nAnswer: 33600*sqrt(3) + 530800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g + 25. Give z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2257 and 55316813?\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*l = -17, 3*i - l = 3 + 10. Suppose -14 = -i*m - 3*m. Solve 0*y - 8 = -m*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 - 28*g. Let i be y(8). Suppose 29*n - 5*n = i. Solve -3*x + 0 = -n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 + 8016\/144)*12?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111011 (base 2) to base 11.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23 - 39) + 1833\/117)\/(1\/34)?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 2*t)*(2 + 3 - 4) + 0 - t + 0 + (0*t + 0*t - t)*(-2 + 0 + 0) + 3 + 2*t - 3 - 15*t - 23 + 23.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2. Let r(m) = -11027*m. What is p(r(g))?\nAnswer: -729568374*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 10, -57\/13343?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 36807*r - 220734.\nAnswer: -3*(r + 6)*(r + 12263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6244453*x**4 - 169138874*x wrt x.\nAnswer: -74933436*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(16))\/sqrt(4) - sqrt(324)*2)*2)\/(((-4*sqrt(4840) - sqrt(40)) + sqrt(40))\/sqrt(5)).\nAnswer: 5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15064 times 4?\nAnswer: 60256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195494901 rounded to three dps?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/486? (a) 3356 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 928 + -943. Let m(v) = v**3 + 14*v**2 - 16*v + 11. Determine m(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 18*s**7\/7 + 41*s**3\/6 + 3*s**2\/2 - 68*s - 2. What is the second derivative of v(m) wrt m?\nAnswer: 2160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4 + (8 - 145\/20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-10) + -7 - 8. What is the least common multiple of 14 and g\/1*(1320\/16)\/(-5)?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -398, -1316, -2840, -4964, -7682, -10988?\n\"Answer: u**3 - 309*u**2 + 2*u - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 97a055 (base 11) to base 4\nAnswer: 11332022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 745 to the nearest 10.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(252) + 5)**2*3.\nAnswer: 540*sqrt(7) + 2493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (15 - 1)) + (159 - 158).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1385 - -1390. Sort -4, 2, x, 7.\nAnswer: -4, 2, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11522 (base 10) in base 15?\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-62)\/4)\/(3\/(-18)) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 + v**2 - v + 7. Let b be y(6). Let m(f) = -f**2 - 3*f + 11. Let p be m(-4). Calculate the common denominator of 43\/8 and b\/(-6)*p\/(-105).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -30. Let g(y) = y + 59. Let h(j) = 3*g(j) + 5*s(j). Let z be h(-7). Let d(x) = 3*x - 16. What is the units digit of d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247.883922ms to days.\nAnswer: 0.000002869026875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 2. Let g be u(-4). Let c(h) be the second derivative of -2*h**3 - h**2 - 2*h. Is c(g) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 4*p - 4. Let m(g) = 2*g**2 + g + 11. Let f(s) = 2*s**2 + 9. Let j(z) = -4*f(z) + 3*m(z). Calculate 3*i(c) - 4*j(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -689658 (base 11) to base 16.\nAnswer: -10ba0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.05807 * -1\nAnswer: -0.05807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741810 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43893323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5224)\/(-1376) + (-35)\/((-6020)\/(-8)))*6\/99?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37594 and 17.1.\nAnswer: -37576.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/3 - 46*m + 2. Let j(o) = o**2 - 6. Let d(n) = -1. Let f(p) = -6*d(p) + j(p). Give g(f(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/5 + 592779*c\/5 - 87073686\/5.\nAnswer: -3*(c - 197446)*(c - 147)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30098880, -60197770, -90296660, -120395550?\n\"Answer: -30098890*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -120, -250, -376, -498, -616, -730?\n\"Answer: 2*s**2 - 136*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/((-11)\/72). Let w = r + 274\/77. Let q = 4757 + -4764. Which is the closest to -1\/4? (a) 3\/7 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eegaeveggeevege. What is prob of sequence ae?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let i(w) = -w**3 - 7*w**2 + 3*w + 3. Let x be i(-7). Let v be (-2)\/6 - 78\/x. Solve v*a - n = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224188468?\nAnswer: 2, 7, 641, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 36675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + 4 + 3 - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 + 22 - 3 - 12 to q*w + j + s*w**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u**3 + u**3 + 0*u)*(7 - 4 - 9 + (2 - 5 + 4)*(-1 + 2 + 0) + 1 - 1 + 1).\nAnswer: 16*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.788 + 0.549. Let k = m - -0.039. Which is the closest to k? (a) -3 (b) -5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1037 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/(i**11\/i*i))\/(i**13\/(i*i*i**11*i)))**(-10) assuming i is positive.\nAnswer: i**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (0 + 5754\/1476) and -151\/30.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*v + 104*v + 106*v + 112*v + 110*v - 625*v + 105*v - 9.\nAnswer: 7*v - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d + 404 = -3*d + 12*d - 5144 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 4 + 5*d**3 + 15*d**3 - 30*d**3 + 3 + d**2. Let h be (0 - 2)*(-2)\/(-4). Calculate p(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*l + 23 = 0, -2*r + l - 3*l = 22. Let i = 34 + r. Suppose 0 = 2*y + 3*y - i. Solve -w - 2 = 0, -2*p - y*w - 30 = -7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/7*2\/(-4). Let t be (18\/(-15))\/(i\/(-15)). Let o be (-2)\/(-9) - t\/(-27). Solve 4*d + 4 + 14 = f, o = -3*f - 2*d - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**5 - u**3. Let d(y) = -75*y**5 + 4*y**3 + 89*y. Suppose 2 = -t - 2. Let k(n) = t*r(n) - d(n). Find the second derivative of k(i) wrt i.\nAnswer: 1420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 212 = 115*k, 3*k = -4*o - 80 + 50 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 equal to 870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 2909568?\nAnswer: 14547840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-6)\/1290)\/((-10)\/75*72\/(-24)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 1, q: 1, o: 1}. Give prob of sequence io.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.16837 * 38\nAnswer: 196.39806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(204) - (sqrt(204)*-2 - sqrt(204) - sqrt(204))))\/((sqrt(768)*-2 - sqrt(768)) + sqrt(768)).\nAnswer: -1 + 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let l(b) = b + 5. Let p(s) = l(s) + 3*q(s). Give p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2 - r. Let p(o) = o**3 + 2. Give -3*d(q) - p(q).\nAnswer: 2*q**3 - 3*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + w - 2586 = 0, 0*v + 5*v - 2*w - 6456 = 0. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(77)\/(-2*sqrt(7) + sqrt(7)))**2 + sqrt(11))*5.\nAnswer: 5*sqrt(11) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/35 (b) -1\/3 (c) 0.4 (d) 63.29 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 3:10 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16970199.\nAnswer: 3, 17, 332749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -534, 46, 3 in descending order.\nAnswer: 46, 7, 3, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.25. Let i = j + -6.55. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 22*i = i - 497196000. What is i rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 16. Calculate k(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 47745.\nAnswer: 1\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46\/5 of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 25792683.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 1598 - 1598.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -966 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p. Let m be ((-9)\/(-12) + 1)*4. Is 8 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158418 by -1466.\nAnswer: -79209\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5207.782ug to grams.\nAnswer: 0.005207782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -118, -1, -2\/23 in descending order.\nAnswer: 0, -2\/23, -1, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -40*s**2. Let p(x) = 105*x**2. What is p(g(y))?\nAnswer: 168000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**7*t)\/t*t**5)\/(t**(5\/3)\/(t\/(t\/(t\/(t*t*t**1))))))**17 assuming t is positive.\nAnswer: t**(425\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*b + 8, -277 = -2*b + 5*m - 287 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 617, 5, -20, 9, -2 in descending order.\nAnswer: 617, 9, 5, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 51496*d**3 + 1289228*d**2 + 8667552*d + 7429824 = 0 for d.\nAnswer: -12, -1, 12899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 + 2 + 41*y**3 - 13*y**3 + 9*y**2 - 9*y**2 as b*y**2 + g*y + v + h*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t - 2, -d = 5*t + 11. Suppose -2*f = -5*u - 30, 0 = f + 5*u + 23 - 8. Calculate the lowest common multiple of f and d\/4*(3 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3 + 83793*w**2 + 335256*w - 1005660 = 0.\nAnswer: -6, 2, 27935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 5*v + 3 + 27, 2*o - 6 = -4*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:35 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243744336 by 7386192.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -77. Suppose -q + 2*x = -2*q + l, 0 = 5*q - 2*x - 242. Calculate the remainder when q is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -88*k**2. Let y(o) = -o. What is g(y(j))?\nAnswer: -88*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.501036 micrograms to grams.\nAnswer: 0.000006501036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1264, 3153, 5824, 9277, 13512, 18529, 24328?\nAnswer: 30909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-7) - (-8)\/(-28). Suppose -3*k + 17 = s, 2*s + 8 = s + 2*k. Let g be (-9)\/s*4\/6. Put r, g, -5 in descending order.\nAnswer: r, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 58 = 3*j, 34 = -2*u + j - 24. Let v = u - -30. Let m(p) = p**2 + 8*p + 2. Let z be m(-8). Solve z*y - 3 = -v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5203691721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11071403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -498007 and 0.33.\nAnswer: -498006.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1*-6 - (sqrt(700)*2 + 2))**2 + ((sqrt(700) + (3*sqrt(700) - sqrt(700)) + -5)*6)**2.\nAnswer: -10480*sqrt(7) + 272504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 8263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 449037400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 488 = -478. Let o = -0.5 - -0.1. Which is the third biggest value? (a) -3 (b) k (c) -1\/2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/9))\/k)\/(k*k**(-1)))\/((k\/(k*k**0)*k)\/k)**(-2\/3) assuming k is positive.\nAnswer: k**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 206.\nAnswer: -4, -2, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2334.\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from wwwwmwmwmmwm.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, d: 6}. Give prob of sequence dded.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 4, g: 14}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30\/(-18) + 1\/(-3) - -22 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((3 - 9\/(-1))\/2)\/(-5). Let y = -0.5 - -0.3. Suppose -1640*j + 1633*j = -14. What is the third biggest value in y, j, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-20))\/(4\/(-10)))\/(7\/140)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 96?\nAnswer: -17\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:58 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + (-10 - (39 + -33))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3539 - -10060. List the prime factors of a.\nAnswer: 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*g - 14, 0 = -5295*i + 5297*i + 3*g - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 74*h**3 - 2*h**2 + h. Let q be f(1). Let w = -45 + q. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 + -274.5. Let s = 509\/6 + -85. Sort 1, q, s, -5.\nAnswer: -5, q, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 27. Let f be q(-11). Is (-3 + -188)\/(f\/(-55)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000116146 rounded to six dps?\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgp when three letters picked without replacement from sspssgssiississiiss?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 177 + 1392. List the prime factors of 4 + 0\/(-19) + (1 - f).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/(2725569\/198))\/((-2)\/14)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/14)\/(-3 - -5). Let r be (4\/10)\/((-33)\/15). Put r, -0.3, g in increasing order.\nAnswer: -0.3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from mdxxjdxwx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 894279*f**2*x**2 - 2*f**2*x - 2*f**2 + f*x**2 + 7*x**2 - 10993089*x wrt x?\nAnswer: 1788558*f**2 + 2*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*c + 23*c + 27*c)*(-2*c + 1 - 1 + (4 - 2 - 4)*(-2 + 2 - 2*c) - 3*c + 3*c + c + 7*c + 23*c - 6*c) + c - c - c**2.\nAnswer: 2132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001052294 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 2*q - 16, -4*b - q = -5. Suppose -4*v - b*t + 8 = t, -t = 4*v - 16. Suppose -v*a + 38 = 8. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18797 at least as big as -18652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 16. Let a = -10957\/4 + 2757. What is the common denominator of a and 12\/y*(-3)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*r - 34, 2*r = 3*t + 3*r + 17. Let z = t - -6. Suppose z*q = -q + 251. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 630, 638, 656, 690, 746, 830, 948?\n\"Answer: d**3 - d**2 + 4*d + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.5 (c) 7 (d) 2\/3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/3 - 34780*w**4 + 834916*w**3\/3 - 521860*w**2 = 0. Calculate w.\nAnswer: -26093, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/42610101 and 151\/23592.\nAnswer: 340880808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425904 is divided by 35486.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/246 and -113\/42.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*x + 7, 4*x + 2*g - 6*g = 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 17. Let t be x(17). Suppose -23*o + 2262 + 4546 = t. List the prime factors of o.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 11*v**2 + 8*v - 27. Suppose -4*y + 30 = -7*y - 4*d, 4*y = 3*d - 40. Give z(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083 divided by -291?\nAnswer: -3083\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.01 + 0.01. Let m = -0.031 - 18.969. Let c = n - m. What is the closest to -0.05 in 1, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-36)*3\/30*-4\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y + 24*y - 482. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2775*d**2 - 9*d - 2. Let s be u(1). Let o = -60733\/22 + s. Let n = -1480\/7 + 6221\/28. Find the common denominator of n and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121814 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*w = 883*w - 4608 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3\/(-9) + (-4)\/6 + 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + d + 37*d - 38*d + 122 to q*d + k*d**2 + x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9278461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 443473.1 litres?\nAnswer: 443473100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-78)*(-171)\/(-114). Let g be (-4)\/5*1\/(-2). Let k = 4.05 - 0.05. Which is the second biggest value? (a) g (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467761321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 5. Let c be t(0). Suppose 56 = 2*d - 3*j + 7*j, -5*d - c*j = -130. Suppose 0 = 2*v - 66 + d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 51. Let w be c(0). Suppose 0*s = 6*s - 204. Calculate the highest common factor of w and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (5 - (10 + -11 - 17))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433144042 (base 5) in base 10?\nAnswer: 3803022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i**2 + 18*i - 24. Let j(m) = -m**2 + 15*m + 15. Let d be j(16). Let c(o) = o**2 + o. Let y(s) = d*l(s) - 10*c(s). Factor y(k).\nAnswer: 4*(k - 2)*(2*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/5))\/c*c)\/c*c*c*c\/(c*((c*c\/(c\/((c*c*c\/c**(3\/4)*c)\/c)))\/c)\/c)*(c\/((c**(2\/5)\/c)\/c*c))\/(c\/c**(-2\/27)*c))**46 assuming c is positive.\nAnswer: c**(5911\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -278514 and 0.059677?\nAnswer: 278514.059677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((2\/10)\/(-1)). Let c = 2 + 54. Suppose 3*j = q*j - c. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.8 (b) 1\/6 (c) 86340 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, -3, -25158 in ascending order.\nAnswer: -25158, -3, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*r**(2\/7)\/r*r)\/r)\/r**(-2\/13) assuming r is positive.\nAnswer: r**(222\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 11. Let g be r(11). Suppose g = 3*i - c - 33, -5*c + 40 = i. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264087070?\nAnswer: 2, 5, 13, 479, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034091 to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609757 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23951885 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.1134 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-205 - -207) + (1 - 14) + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q = 64*q + 1295. Let j = q - -180. Let l = 9 + -15. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7944 - 7994) + (-3 - (2 + 2))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -201166639\nAnswer: 3\/201166639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 4. Let o(r) = -2*r + 2. Let l be o(-4). Is a(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 23*b**2 - 63*b**2 + b.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61752941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825854?\nAnswer: 2, 19, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1584)\/(-60) - 3\/(-5). Suppose 0 = u*f - 22*f - 10. Solve b + f = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18177540 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + v + v)*(-24 - 27 - 52) to the form u + l*v and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-6)*a*a)\/a)\/a*a**(-5)*(a*a**(2\/3))**40)**(21\/2) assuming a is positive.\nAnswer: a**(1211\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjajajjjxjjjjx. What is prob of sequence jxa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 12*f - 18. Suppose 5*k = 2*k + 18. Let v be h(k). Is v greater than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(19)*-2 + -5 + 6*(sqrt(171) - sqrt(19))*5 + -2*(sqrt(19) + 2 + 5 + 1)*5.\nAnswer: -85 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887937312.\nAnswer: 2, 3, 29, 197, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253457?\nAnswer: 191, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooovoovooooooooooo. Give prob of sequence ooo.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31270 is divided by 28995.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2. Let b(k) = -8*k**2 + 2 + 16*k**2 - 1 - 7*k**2. Let j(c) = -3*c**2 - 1. Let z(d) = -b(d) - j(d). Calculate y(z(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/21 - (-57)\/(-133). Solve 208*u - 214*u - 24 = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*x**3 - 26*x**3 + 101*x**3 + 16*x**3 - 6*x**3 + 180*x wrt x.\nAnswer: 696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5907, 5615, 5339, 5079, 4835?\nAnswer: 4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 6*o - 5. Let f be t(4). Suppose -f*u - 3 = -0*u, 2*y + 4*u = 0. Solve y*x - 4*x = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {n: 5, x: 6, s: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15831340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1358336, -2718194, -4078038, -5437862, -6797660, -8157426, -9517154?\n\"Answer: c**3 + c**2 - 1359868*c + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3991 * -184.1\nAnswer: 734743.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 - (-56)\/6. Suppose -8 = -2*u + b. Calculate the smallest common multiple of u and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -993, -1454, -1877, -2250, -2561, -2798?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 45*r - 50*r - 38, -2*r + 4 = 0. Solve k*v - 5*v = -22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + v - 1. Let o be u(-9). Suppose 4*a + o - 255 = 0. Let z = a - 232\/5. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 7*d**5\/270 + d**4\/12 + 2*d**3\/27 + 17*d**2. Factor m(z).\nAnswer: 2*(z + 1)*(7*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.67 - -618.67. Let x = 659.2 - y. Round x to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:18 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*q - 3*k, -25 = -2*q + 3*k + 7. Suppose 3*h - f - f - q = 0, 3*f - 6 = -4*h. Solve 0*u = -h*o + 4*u + 16, o - 3*u - 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**3 + 15*y**3 - 8*y**3 + (-1 + 0 + 2)*(0*y**3 - y**3 + 0*y**3).\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1959 - 1914)*(-39)\/(-45)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.072829 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j + 3. Give y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45306294 is divided by 3133.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 50099777?\nAnswer: 450897993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*h + 148, 2*h - 3*t - 2*t = 74. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0237 in 1\/3, 1\/12, -4, 5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.429227 minutes?\nAnswer: 445753620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, k: 4, e: 3, p: 2, o: 2}. What is prob of sequence ee?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 69643021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 2 + 8 + 7*f**3 with respect to f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74463\/7 or 10637?\nAnswer: 74463\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 68\/12)*-3. Let d = 122 - o. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 0.431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkkdkikkdidkdkkdid. Give prob of sequence iikk.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))**(-1\/11))**(-2\/35)\/(b**(-5)\/(b*b*b\/(b\/(b\/b**(-2\/9)))*b*b*b*b)*(b*b**(-1\/2))\/(((b*b**(1\/8)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(709\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*v - 24 = 0, -3*k + 3*v = 2*k + 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + b - 9. Suppose -4*o - 3*o + 2149 = 0. Let f = o + -307. Give q(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/65)\/(3\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 56*q = -48. Calculate the greatest common factor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1255 divide 17204201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 38*v - 68. Let h = -14 - -7. Let l be (-2)\/(-7) - 19\/h. Do v and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.55 * 0.71.\nAnswer: -2.5205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7dadd0 (base 15) to base 13\nAnswer: 1325aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 - 247*p - 8*p**3 + 246*p + 2*p**2 + 3*p**4 + 3 to n + y*p**2 + a*p**4 + s*p**3 + c*p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9106 is divided by 2139.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7074 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 3*j, 5*k = 5*j + 3 + 2. Suppose q - 1 - k = 0. Suppose -7*z + q*z + 145 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*y - 28. Let k(o) = 478*o + 150. Let w be k(3). Suppose w*i - 1586*i + 8 = 0. Calculate the greatest common divisor of y and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90\/(-36) - (-9)\/2. Suppose -2*t + 4*y = -20, 2*t = 4*t + 3*y - 55. Find the first derivative of t + 43*l**k - 54*l**2 - 32*l**2 + 4 wrt l.\nAnswer: -86*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7669417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.54 and 0.6414074.\nAnswer: -6.8985926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6992?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5) - 420\/150)\/((-98)\/(-35))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s**3 - 1342059*s**2 + 89503218*s + 25681904 = 0 for s.\nAnswer: -2\/7, 67, 191656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*g + 60 = 20, 5*g = -j + 22. Let l be 2\/6*2*j. Let s be (l + 2 + 1)*1. Solve 2*q - 9 = -s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 + (-720)\/(-50))*(-5)\/(-9). Let c = -0.074 - 0.426. Put -0.29, -4, c, s in decreasing order.\nAnswer: s, -0.29, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/27))**(-39)\/((n\/((n**12\/n)\/n))\/n)**(-31) assuming n is positive.\nAnswer: n**(-2777\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368\/716141 equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3163650 and 210.\nAnswer: 3163650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -166*n + 1. Let i be k(1). Let h = -110 - i. Suppose 4*p - 6*p + 10 = 0. What is the greatest common divisor of h and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 920\/(-368)*8\/30. Sort 4\/139, w, 0, -1 in descending order.\nAnswer: 4\/139, 0, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -629, -1397, -2471?\nAnswer: -3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*u - 5*u. Let a(d) = -8*d + 1. Let m(f) = f + 1. Let k(j) = a(j) + 3*m(j). Let h be k(-5). Solve -9 + h = u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 248 = 40. Suppose 0 = -5*o + 2*n + 264, -4*o + 266*n = 264*n - 210. Let b = s - o. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqvmzzzqznqzzzmmm. What is prob of sequence vzq?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + -6 + 4 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 11\nAnswer: 119\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 9:33 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {d: 3, c: 9, z: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -0.7. Let f = h - -1.199994. Round f to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:15 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18329507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -30581740 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.109 and -84015?\nAnswer: 9157.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8 + 1 + (-189)\/(-28). Suppose -592 = -n*u + 66. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -253, -1\/4, -1 in descending order.\nAnswer: -1\/4, -1, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0747 * 9\nAnswer: 0.6723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:43 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (6 + (1 - (14 - 8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 266, 388, 502, 608, 706?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1996*f**2*x**3 + 2*f**2*x**2*y**3 - 79*f**2*y**3 + 2*f*x**3*y**3 + 7*f*x**2*y**2 + 2*x*y**2 wrt x.\nAnswer: 11976*f**2 + 12*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/25? (a) 6 (b) -5 (c) 8\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:26 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - o**2\/2 + 31*o\/4 - 7.\nAnswer: -(o - 4)*(o - 1)*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 24. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -11*l + 70. Solve -y + l*y = -16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-18))\/(-3)*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27597181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 8*i - 268200 = 0. What is i rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/306*-220 - 16\/72.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915157 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 11) to base 12.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 + -292. Let i = -415 - u. Let o = -31 - i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - -246. Let v = a - 136. Let p = 163.9999889 - v. What is p rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7954 and 94792.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from {k: 3, w: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34.59 and -267.5.\nAnswer: -232.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 3968.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2002)\/(-52)*(-10)\/(-35). Solve -4*o = -h - 9, 7 = s*o - 8*o - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -41*x + 40*x. Calculate the lowest common multiple of x and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7429443 to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12)*-3*4\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -6, -3, -4, 0.11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = 5*r, 3*r - r - 14 = -4*y. Let p be 1\/(-2) + 6\/4. Put p, r, -3 in descending order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**6 + 23*s**5 - 58143*s**3 - 2*s**2 + 445*s - 72485 wrt s?\nAnswer: 600*s**3 + 1380*s**2 - 348858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 3791, 8485, 15045, 23465, 33739, 45861, 59825?\nAnswer: 75625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from {r: 5, v: 1, y: 11, e: 1, z: 2}?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (-7 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/15 - -56\/15. Let q be 145\/36 - (-2)\/(-8). Let z = x - q. What is the nearest to 0.1 in 4, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*c + 5 = 0, 4*q + c = 2*c - 23. Let o(z) = -z**3 - 4*z**2 + 3*z - 1. List the prime factors of o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 869*j + 870.\nAnswer: -(j - 870)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4, 5*w = 2*w + r + 164. Let k be 2\/3 - (-38)\/6. Calculate the greatest common factor of w and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 20*p + 44. Let l be g(-7). Suppose -3*c + 31 = 5*j, -l*c - 4*j = -c - 8. What is the greatest common factor of 40 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198 - 198.1. Which is the smallest value? (a) 0.3 (b) -44 (c) 1\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23220.45 millimeters in nanometers?\nAnswer: 23220450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -140802029?\nAnswer: -140802029.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3773, -30446, -102845, -243836, -476285, -823058, -1307021?\nAnswer: -1951040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2431 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x + j = 28*x + 148, -x - 4*j + 22 = 0. What is the greatest common divisor of 165 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) 1 (c) 6 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 3477 + 87847 = 14*g. What is the highest common factor of 474 and g?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*186\/(-2 - 0)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 396 = -121. What is the least common multiple of i and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(-3*sqrt(8)) + (sqrt(320) - (sqrt(320) + 3))**2 - ((sqrt(160)\/sqrt(4))\/sqrt(4))\/(5*sqrt(8)\/sqrt(4)).\nAnswer: -8*sqrt(5)\/15 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 6*x + 0 + 5*x - 9. What is the remainder when 43 is divided by f(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 6, -2\/7, -0.4, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*f - 8 = 0, 2*s - 5*f = 1 + 27. Suppose 0 = 7*p - 4*p - 45. Solve -x = s*x - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*u + 24 = 232*u. Let j(s) = 5*s**3 - 7*s**2 - 7*s - 4. Let x(k) = 2*k**3 - 3*k**2 - 3*k - 2. Calculate u*j(y) - 7*x(y).\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y = 55*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - -350?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/57)*w**(10\/9)\/w)**(-26))**32 assuming w is positive.\nAnswer: w**(-10816\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.061 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*((-11 - -9) + 3)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 5. Let n = -203 + 208. Let w(r) = -r - 6. Give n*w(s) + 6*g(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3852 = m - 5*r, 2*m + 7769 = 4*m + 3*r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-1575)\/60))\/1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9327.\nAnswer: 3, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2*h)\/(h*h*h**(-2\/9))*(h**8)**(30\/11))**(-3\/13) assuming h is positive.\nAnswer: h**(-1984\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14 (b) -2\/3 (c) 0.02 (d) -958 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 83. Let y = q + 141. Is 31 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from rdbqhrrrhrrbrdrrhrh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238 + 433. Let n = b + -293. Let r = -98.000043 - n. Round r to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {s: 3, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 24 = -2*s - 8*i, 0 = -5*s - i + 34. Let g(d) = d - 12. Calculate g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8578411 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1234414 centimeters?\nAnswer: 1234.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v + 20. Suppose 545*d - 534*d = -33. Let p = -2 - -4. Which is the closest to p? (a) d (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, -9, -44 in decreasing order.\nAnswer: 144, -9, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*g - 26. Let c(u) = -2*u + 34. Let v(x) = 3*x**2 - 2*x - 1. Let a be v(2). Let n be c(a). What is the greatest common factor of n and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 13 - 47. Suppose 13*l + 32 = q*l. Let u be (-2)\/8 - (-68)\/l. Solve 0 = -u*x + 5*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, 62, 72, 96?\n\"Answer: 7*c**2 - 25*c + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 72 = -2*o. Let k = 11 + o. Is -1\/5 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, s: 2, e: 7, v: 7}. What is prob of sequence sv?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*b**2 + 13*b**2 + 31*b**2.\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 66893246431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/60 + q**4\/8 + q**2. Let g(s) = -s. Let l be (4\/1)\/(-4)*4. Give l*g(n) - c(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10*(-1)\/(-2))\/(13\/(-39507)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f - 1. Let h(v) = -v**3 + 7*v**2 + 7*v + 7. Let y be (14\/(-5))\/(17\/85). Give y*t(l) - 2*h(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 162576, 163536, 164496, 165456?\n\"Answer: 960*o + 161616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**3\/3 + j**2\/2 - j + 119. Let d(b) = b - 15. Let p be d(9). Let n(u) = 7*u**2 - 6*u + 4. Give p*x(a) - n(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 284 = 94. Solve -69*g + 37 + 57*g**2 + k - 88 = 0.\nAnswer: 4\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4880234 and -3.\nAnswer: -4880237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 1. Let m(p) = -181*p. Calculate -3*c(j) - m(j).\nAnswer: 175*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 3. Let h(r) = 3*r - 5. Let v = -9 - -4. Let i be (-1 - (2 + v))*-4. Give i*x(d) - 5*h(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 8, 2*z + z = 4*f - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p + 82. Determine w(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*p - 11. Let g = -6 + p. Suppose g*w - 15 = -2*v, 4*v + 2*w - 40 - 14 = 0. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/4*34476\/(-2197). Calculate the highest common divisor of 930 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 78 + 28 = 0. Let u = -1 + n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1356\/5 + -272. Suppose 8 = 2*i - 5*j, 0*i - 5*i + 4*j = -3. Is i bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0 - (-1 + -3). Let s be 0 + (-2)\/14 + y\/42. Suppose s = q + 3*q - 200. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2401*v - 17 = -2403*v, -u - v + 13 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f + 7825650 + 2*f**2 + 5414*f**3 - 16792*f**3 - 7822629 wrt f?\nAnswer: -68268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2223 - 13?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12599 times 4?\nAnswer: 50396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008916583 to 6 dps.\nAnswer: -0.000892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-4 + -5*sqrt(22)*-1)\/(sqrt(11) + sqrt(11) + sqrt(44) + sqrt(1100) + sqrt(11) + (sqrt(11) - sqrt(88)\/(sqrt(32)\/sqrt(4)))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 1. Suppose -335 = 6*k + 727. Let x = 176 + k. Let p(n) = n**3 - 2*n**2 - 5*n - 2. Determine x*p(h) + 5*g(h).\nAnswer: -h**3 + 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + 0 + 2*w**3 - 3 + (-3 + 3 - 2*w**2)*(-4 - w + 4).\nAnswer: w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.2. Let i be 1 + 0 - (-3152)\/(-3268). Let n = -3\/43 - i. Which is the closest to v? (a) -2 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + (5 - 32095\/7))\/(-1)?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = 2*f - 6, -o + 24 = 5*f. Suppose 0 = 3*h - 2*h - 5*m - 1, -2*m = -f*h + 28. Calculate the least common multiple of h and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19653351 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 + 55*u**4 + 286*u**3 - 398*u**2 - 287*u + 343 = 0. Calculate u.\nAnswer: -49, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n - 1 - 5*n + n**2 + 0 - 7. Suppose 27*d - 50 = 112. Determine b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014312 (base 5) to base 14.\nAnswer: 61c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 8093?\nAnswer: 156\/8093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -1. Let j = 2\/7 - 15\/28. What is the closest to 0 in r, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/12 + 5*k**4\/2 - 30*k**3 + 14*k**2. Factor z(b).\nAnswer: -5*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*k - 10, 4*f + 0*f + 20 = 4*k. Let w be (4 - f) + (-1 - -2). Suppose 3*b = -0*a - a + w, 2*a - 10 = -b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85023969 - 3*z - 514*z**2 - 85023969 + 0*z + 3*z.\nAnswer: -514*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*g - 4, 0 = i - g - 4*g - 10. Suppose 0 = -v + 5*b - 18, i = -4*v + 5*b - b - 8. Solve -2 = -0*w + 4*w - v*o, 0 = 3*o + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42773, 85548, 128323, 171098, 213873, 256648?\n\"Answer: 42775*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, -8, -9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(189) + -2*sqrt(189))\/sqrt(7)*-1)\/(3*sqrt(729)*-2))**2 + 3.\nAnswer: 1\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/12 + 15\/18. Let s be n + 1 + -2 + 2. Let o(z) = 0 - 6*z + s*z + 0. Let r(p) = -2*p**2. What is o(r(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:13 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3966372 and 7548?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+72.9843\nAnswer: 73.5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - -2 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h, 5*h + 808 = -f + 276. Let m = f + 5486. Find the second derivative of -m*q**2 + 4952*q**2 - q - 20*q wrt q.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14 = 2*x + 5*y, 4*x - 2*y - 22 = 0. Solve -x*t + 3*q = 0, 4*t + 4*q = -q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7237571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1757626 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.66 + 17.66003247. Round v to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73994233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*w + 2 - 10, 0 = 4*o + 4*w - 12. Let d(x) = -3*x - 22. Let j be d(-8). Let q be (-4)\/((-3 + 4)*j). Sort q, o, -1 in decreasing order.\nAnswer: o, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 198. Let x(w) = -5*w**2 - 17 + 10*w**2 + y*w - 20*w**2. Let i(h) = 7*h**2 - 2*h + 8. Give -13*i(n) - 6*x(n).\nAnswer: -n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 333\/(-15)*(-1540)\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*0\/(2 + -7). Suppose -2*a - 4 + 24 = k. List the prime factors of (-16)\/40 - (-2014)\/a.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a**3 - 471*a**2 - 1395*a + 378 = 0.\nAnswer: -3, 1\/4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.021 - -0.021. Let n = -75 - l. Let r = 35.0000087 + n. What is r rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276912 = 6*d + 276912 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*p)*(p - p - 2*p) + 379*p + 55*p**2 - 379*p)*(0*p**3 + p**3 - 3*p**3).\nAnswer: -118*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834\/15 + 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230342748233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*a + 10 = -37, -3*w - 23 = a. Is 40 a factor of 2\/w + 7\/((-252)\/(-23048))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*z - 27226*z**2 + 41*z + 39*z.\nAnswer: -27226*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6077 times 0.3?\nAnswer: -0.48231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:42 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 674685 and 113129.\nAnswer: 55998855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -52 + 16. Let c(k) = k**2 + 5*k - 5. Let m be c(j). Let v(x) = x**3 + 7*x**2 + 15*x + 54. Let o be v(-6). Solve -l = -o - m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, -564.\nAnswer: -564, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -21, 0.2, 11436.\nAnswer: -21, -6, -1, 0.2, 11436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(-2 + 0*m + 0 - 2*m) + 7 + m - 7.\nAnswer: -9*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2690091 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2142*z + 92*z - 114800 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*12\/168)\/((-195)\/2275) - (-134)\/(-2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2869*n + 2870*n - 4*a + 7, -6*n - 5*a + 16 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5. Let p(m) = 4*m - 14. Let y(c) = 2*p(c) - 7*z(c). What is y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97667570\/23 at most as big as -4246415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5785.484 micrometers to meters.\nAnswer: 0.005785484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = r - 2, 2*r + 22*g - 6 = 26*g. Let q(l) = -l**3 + 3*l - 1. Let v(z) = 2*z**3 - z**2 - 5*z + 1. Determine r*q(y) + 3*v(y).\nAnswer: y**3 - 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.5 - -35. Sort 1\/4, -2\/3, c in ascending order.\nAnswer: -2\/3, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -121*z**3 - z**2 - 5*z - 2. Calculate the remainder when 360 is divided by d(-1).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -37. Let f(x) = -2*x + 5. Let u be f(4). Let s = u + 4. Solve -3*m - w = -s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-308)\/(-55) - (-3)\/(-5). Suppose 0 = 2*v - l*v + 54. Suppose -v*i + 16 = -14*i. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14108\/1281 + 666\/61. Which is the third biggest value? (a) n (b) 0.3 (c) -2.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 444, 1731, 3838, 6765, 10512, 15079, 20466?\n\"Answer: 410*q**2 + 57*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 + 1061 = 35*r. Calculate the remainder when 257 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -47774*a. Let f(m) = -14*m**2. What is f(n(g))?\nAnswer: -31952971064*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 524, -231, -1438, -3097?\n\"Answer: -226*y**2 - 77*y + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 35 = 3*d, -d = 3*w + 2*d - 42. Let u(k) = -9*k**2 - w*k**2 - 14*k**2 + 28*k**2. Let n(g) = -12*g**2. What is n(u(f))?\nAnswer: -432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15587615 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 + 9*u**2 + 977*u - 7. Let f(x) = -3*x**3 - 5*x**2 - 489*x + 4. Give 7*f(i) + 4*t(i).\nAnswer: -i**3 + i**2 + 485*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 8. Let s = v - 3.7. Suppose y = g - 6*g - 3, 0 = -3*g. Which is the third smallest value? (a) s (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**14\/z))**(4\/35))**(-2\/3) assuming z is positive.\nAnswer: z**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2755, -11323, -25603, -45595, -71299, -102715, -139843?\nAnswer: -182683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -664*t - 855. What are the prime factors of m(-8)?\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {x: 6, v: 2, u: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 1. Let i = 33967 + -33960. Solve d*m - i = -9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/10)*r**12)**(2\/19)*(r**(1\/4)*r*r**5\/r)\/(r**(-3\/10)*r**(-3\/4)) assuming r is positive.\nAnswer: r**(1431\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354072 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -22*j + 83. Let m(i) = i + 2. Let u(v) = 10*m(v) - 2*s(v). List the prime factors of u(14).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**2 + 9*s - 1. Is a(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 - 11\/(-4). Suppose 18 - d = 3*b, 4*b - 64 = 4*f. Is -5 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p - 90. Let i = -186 + 217. Let m be b(i). What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/38)\/((-26)\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:26 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*v + 35*v + 60*v to the form c + p*v and give p.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 10*d - 14. Suppose 0 = 6*n - 45 + 15. Let g be p(n). Let k = 116 + g. List the prime factors of k.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 12*s**2 + 7*s + 57. Determine d(-13).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 21. Let l(s) = -3*s. Determine l(t(o)).\nAnswer: 6*o - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -201*z - 37822. Determine t(-189).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-28) + (-516)\/28. Let h = w - -23. Solve h*l + 3 + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210824447 to the power of 1\/3, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -1\/12*b**4 + 0 - 5\/3*b**3 - 4*b - 3\/2*b**2. Is s(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)\/(k\/k**(-6)))\/((((k\/k**(-9))\/k)\/k)\/(k\/k**(-1))) assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 0.04775.\nAnswer: 4.95225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (6 + -13 + 7)) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from hgsdhsllgsggsh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/5*(-5)\/2. Suppose 2*v + u = 2*u - 4, 0 = 3*v - u + x. Suppose 5*m + 3*a - 161 = 0, 3*a + 179 = 5*m - v*a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 68.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3 - 8\/15. Let d = 1 - 1. What is the second biggest value in -1\/2, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985578 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = 3*h - h, 0 = 5*h + 4*f - 32. Suppose 0 = 4*i - h*m + 4, 4*i + 5*m = 5. Which is the third smallest value? (a) 1\/2 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63356754176 - 2\nAnswer: -63356754178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -716*z + 624*z - 5336 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262.053 - 262. Let f = 3341.947 - 3336. Let q = a + f. Sort q, -0.5, 4 in increasing order.\nAnswer: -0.5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*l + 65144 = 58700 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1*2)\/(53\/(-426014))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/761 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126706893 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293342.4 months in millennia?\nAnswer: 24.4452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or 19?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -102.8. Which is smaller: 1.8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b + 3. Let q(z) = 108966*z + 41910. Determine 27940*d(i) - 2*q(i).\nAnswer: 5588*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9)*3)\/((-14)\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31459*h + 333405 = -27874*h for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1043752296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 191*d + 50. Determine q(-38).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62487611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28488 and 40.\nAnswer: 142440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71073349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/60 and -23\/270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z - 3*b = -28*z + 66103, 11*z = -5*b + 145415. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 1, w: 3, j: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1965015167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**2 - 2 - 2*n**2 - 2*n**2)*(-2*n**2 + 5*n**2 + 0*n**2) + 394958 - 394958 - 1372*n**4 as r*n**2 + a*n**4 + u*n + s + z*n**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07251 minus -0.7?\nAnswer: 0.62749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 16\/3, -3, 113?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 816.64 rounded to the nearest ten?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwgn when four letters picked without replacement from {m: 2, n: 3, e: 3, t: 3, w: 1, g: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 2*w)*(-44 - 20 + 146) + (-3*w + 0*w + 5*w)*(1 - 2 - 2).\nAnswer: 158*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/38 - 47\/114. Which is the nearest to 0? (a) w (b) 0.05 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2. Let g be 1\/2*(-5 - -3). Let c be y(g). Suppose 3*h = c*h + 19. Calculate the remainder when 55 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/4 + 3*i**3\/7 + 1136. Factor m(y).\nAnswer: y**2*(7*y + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 4*n**2 - 283 + 3*n**2 - 282 + 565.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -57, -88, -119, -150, -181?\n\"Answer: -31*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942384 = 23*m - 61007 + 314002. Round m to the nearest 100.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1.51, 8, -5, 1.7 in descending order.\nAnswer: 8, 1.7, 1.51, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133133202 (base 4) in base 6?\nAnswer: -12214454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*1*9*47\/(-987)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3944, 3947, 3960, 3989, 4040, 4119, 4232?\nAnswer: 4385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 divided by 359357?\nAnswer: 1587\/359357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -259. Let z = q + 194. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(480))*-6)\/(2*sqrt(10)*1).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1247220 by 205.\nAnswer: -6084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -85981296 divided by 1?\nAnswer: -85981296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-488)\/(-4392)*(-18)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1114493\/3 - 379960. Let x = j - -6372200\/753. Find the common denominator of 101\/2 and x.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 8960.\nAnswer: 98560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**11\/v)\/v))\/(v*v*v**(8\/3)))**(-50) assuming v is positive.\nAnswer: v**(1900\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + q + 2. Calculate the lowest common multiple of 30 and u(-3).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/10)\/((-22)\/(-55)) + 3136 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 18 = -12. Suppose -l + 17 = m. What are the prime factors of (l\/(-2))\/((-2)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -68*i**3\/3 - 5048*i. Let n(f) = -7*f. Give n(r(c)).\nAnswer: 952*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -105*i**2. Let a(o) = -2788*o + 5582*o - 2786*o. Give a(k(n)).\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - (-1 - (-4 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 114 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1410.\nAnswer: -1\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25466353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 + 428*o + 238. Let z be b(-71). Solve 0 = 25*s + 7*s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)\/l*l*l\/(l*l\/(l**(3\/4)*l)))\/(l\/l**(-2)*l**(-2\/7)\/l*l)*l*l**(-2\/9)*l*l*l**7*l*l**(-9\/2)*l*(l\/(l**(-2)*l))\/l assuming l is positive.\nAnswer: l**(1549\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01649 to 4 dps.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4 + -7. Which is the smallest value? (a) 2\/7 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(1 + sqrt(3)) - (sqrt(108) + 1))*-2.\nAnswer: 36 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 69?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7919232 and 14736?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 - y**2 - 2*y**2)*(-6 - 4 + 5)*(-2*y + 0 + 0)*(-1 + 1 + 3)*(0 - 2 - 4) to f*y + o*y**3 + t + x*y**2 and give o.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g - 5*k + 41 = 0, -72 = -4*g + 3*k. Suppose 0 = h + 5*b - g, -h + b - 15 = -3*b. Let a(i) = -i**3 - i**2 - i + 1. What is a(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 3*k = 44, 3*b - k = 52. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, m: 2, n: 3, u: 2, l: 3}. Give prob of sequence lnxn.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - 7c1961?\nAnswer: -7c1933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-12))\/((-42)\/36*8\/154)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/12 + i**3\/6 - 5*i**2 - 2*i. Let g be n(7). Let l = -25 + g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 928? (a) 4 (b) 2\/15 (c) 178 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328181*d**2 - 8200*d - 8 wrt d.\nAnswer: 656362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -34. Let f = 14 + -9. What is the smallest value in f, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.271, 2\/11, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (9 + 2 + -3). Let a(j) = j + 7. Let f be a(p). Differentiate -2 - 11 - f + 10*x**3 - 15*x**3 with respect to x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrsrrsssssrrssrsm. Give prob of sequence mrsr.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let n(i) = -2*i. Let k be n(-1). Let t(h) = -h**k - h**2 - 4*h**2. What is a(t(o))?\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, 0.1, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 333352037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 - 6 + (1 - 1 + 2)*(-2 + 3 - 2) - 1 - 1 + 1 + 0 + 0 + 1 - 1 + 1 + 3)*(i**3 + 0*i**3 + i**3).\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:42 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18261 and 3207849?\nAnswer: 9623547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90996.16 grams to milligrams.\nAnswer: 90996160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19595294*h**4 - 18996611 with respect to h.\nAnswer: 78381176*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.213489.\nAnswer: 0.853956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 1. Let m be q(1). Put 4, 5, m in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2022 divided by -63.\nAnswer: -674\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 26*m**3*p*q - 12*m**2*p + 2*m*p*q - 518*m*q wrt m.\nAnswer: 20*m**3 - 156*m*p*q - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2563 and 3202.74.\nAnswer: 639.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/16 in 0.1, -3, 3, 4, -36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 2. Let v(a) = -2. Let w = 4 + -7. Give w*v(m) - 2*i(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(1 - (4 + -1)). Suppose 2*u + 2*n = 0, -u + 0*u = -f*n. Solve 0 = -u*z + 2*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*b - 46 = 306*b + v, -5*v = 2*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 359*c + 358*c = -6, 5*t - 4*c = 12 + 6 - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -26*k + k**2 + 7*k**2 + 23*k + k**2 - k**3. What is the tens digit of s(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 19*b**2 - 3*b - 12. Is o(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2*3\/12). Suppose -5*x + w + 10 = 0, 5*x - f*x - 2 = -w. Suppose 3*g - 40 = -2*g - 5*z, -x*g + 3*z + 21 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 9:20 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.13, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6126*b + 1434*b + 5296*b to the form y*b + p and give y.\nAnswer: 12856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -0.4 (c) 27 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.3 + -8. Let v = -0.08 - 0.32. Let s = 0.3 + -0.2. What is the closest to s in -4\/7, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -655*-0.4\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -33221.\nAnswer: -33221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from xxxtxtxttxxxxzxxt.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (2\/(-36))\/((-17)\/2482)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520613115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -67*g**2 - 16*g + 4. Let m(n) = -66*n**2 - 14*n + 3. What is 6*i(d) - 7*m(d)?\nAnswer: 60*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.01. Let w = -0.0908 + n. What is w rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*j = 3460, -4*u - 3*j + 7*j + 13836 = 0. Calculate the highest common divisor of u and 546.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2499.582 minutes to seconds.\nAnswer: 149974.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 27*i - 209. Let s be t(8). What is the second derivative of 29*x**3 + s*x**2 - x**2 - 108*x - 4*x**2 - 13*x wrt x?\nAnswer: 174*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110951451)\/(-12) - 3\/(-4). Suppose 0 = -5*g + 2*y - 23229773, 5*g - 4*y + 9291906 = 3*g. Let c = z + g. What is c rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - (147 - 28)\/(12\/1) and 67\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/1 + -16 + 311?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -89. Let i be (-1)\/(-2) - h\/(-6). Let j = i + 23. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27\/4*l**4 + 1\/4*l**5 - 169\/2*l + 0 - 117\/4*l**2 + 193\/4*l**3 = 0. Calculate l.\nAnswer: -1, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 - 7*t - 1. Let o = -21 - -15. What is the least common multiple of 4 and r(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313093057.\nAnswer: 313093057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -6 - -3 - 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 - 5*i + 2. Let c(f) = f**3 + 2*f**2 + 7*f - 3. Let v(g) = -5*c(g) - 7*j(g). Let r(q) = -q**3 + q**2. Determine -3*r(n) - v(n).\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let n(j) = v*j - 4*j + 4*j. Let y(h) = 2*h**2 + 2*h**2 - h**2. Determine n(y(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113861, 227722, 341583?\nAnswer: 455444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 + 3*c. Let n(a) = a**2 - a. Suppose -s = -2*t + 6, -4*s + 7 = -4*t + 19. Give t*n(b) + h(b).\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8dc (base 15) to base 6.\nAnswer: -1020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hooho. What is prob of picking 2 h and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.08 + 6.98. What is the nearest to -0.5 in -2\/9, -2, x, 3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -58. Let c = z - -17. Is (-11 + 6)*c\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 282 and 64?\nAnswer: 18048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8747 + 14627. Does 42 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206.137 nanograms in grams?\nAnswer: 0.000001206137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -873, -2928, -6165, -10584, -16185, -22968, -30933?\n\"Answer: -591*a**2 - 282*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (9 + -1 + (0 - (-6 + 10) - -4))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 26*n**2 + 43*n + 25. Let a(d) = -2*d**3 + 48*d**2 - 86*d - 44. Let p(i) = -3*a(i) - 5*v(i). Calculate p(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*j**4 + (1 - 1 - j**2)*(-j - 2*j**2 + j) + 95*j**2 - 95*j**2 - 95*j**4.\nAnswer: -95*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.232091234 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s. Let h = -7 - -19. Let v(d) = -d. Calculate h*v(u) + 3*f(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:03 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1758)\/(-4) - 13\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 58.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffffffjf. Give prob of sequence jff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -0.72080287256\nAnswer: -3.72080287256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*p**2 - 6*p**4 + 6*p**4 + 3*p**5 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 2*x - x + (-1 - x + 1)*(-2 - 4 + 4) - 4035 - 223*x + 4035 as d*x + i and give d.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3579, 7187, 10795, 14403, 18011?\n\"Answer: 3608*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5412374, -10824746, -16237118?\nAnswer: -21649490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 142*v\/3 - 136.\nAnswer: -2*(v - 68)*(v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzdmvjvdjzmdjmdmd. What is prob of picking 1 m and 1 v?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 917503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 6*v + 16 = 0. Suppose 4 = -4*l + v. Let o = 10 - l. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230693?\nAnswer: 37, 60289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.42302401 rounded to 4 dps?\nAnswer: 5.423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from ajfcjdjjdaaj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1055177 - 331648. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 5) in base 11?\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690747529.\nAnswer: 17, 227, 438131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.888 and -14?\nAnswer: 14.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -5, 0.0383?\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -61. Let h = 9.7 + -9.7. What is the closest to b in -4, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 981.\nAnswer: -4\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f**12\/f)*f)\/(f*f**(-6))*(f**(-5\/7)\/f)\/((f\/(f\/(f**(1\/4)\/f)))\/f) assuming f is positive.\nAnswer: f**(-55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110100111110010 + 10?\nAnswer: -1011110100111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -145. Let f(c) = 5*c**2 - 5*c + 9. Let u be f(h). Is u >= 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7987286 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13604 and 76612.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135288 is divided by 112.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c - 18 + 18)*(67*c**2 - 67*c**2 + 21*c**3) - c**4 - 8*c**4 - 2*c**4.\nAnswer: -242*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/8244 and -97\/180.\nAnswer: 41220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -2, -4, 3 in descending order.\nAnswer: 3, 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 6)*(-33*f + 70*f + 132*f + (1 - 1 - 2)*(-f + 1 - 1) + 2*f - 4*f + f - f - 1 + 1 + (-f - 4*f + 3*f)*(3 + 0 - 1)) to k*f + j and give k.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19249 + 146\nAnswer: -19103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 8*q + 8. Let t(u) = -u**2 + 5*u - 5. Suppose -5*p + 1447 = v, -p + 0*p + 2*v = -285. Let l = 284 - p. Give l*w(i) - 8*t(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 29 - (-14 + 4 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -381\/2 in increasing order.\nAnswer: -381\/2, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(24\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + 2*g**2 - g**2 + (66*g + 40*g - 6*g)*(-2*g - 2*g + 2*g) to p + h*g**2 + x*g and give h.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**7\/210 + i**3\/3 - 3*i**2\/2 - 3. Let q(x) be the second derivative of b(x). Differentiate q(y) wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 738?\nAnswer: -73a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 402 - 479 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/800 and -77\/192.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l + 18*l + 13*l = -4*a - 388, 0 = -4*l + 894*a + 4838 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4 + 4*o**3 - 2 - 4*o**2 - 5*o**3 + 6*o. Calculate the remainder when z(-6) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45808*a**4 - 2*a + 21702 wrt a?\nAnswer: -549696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let g(y) = 1055*y**2 + 1213*y. Let d(z) = g(z) - 2*t(z). Find the second derivative of d(n) wrt n.\nAnswer: 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34515.21 micrograms to grams.\nAnswer: 0.03451521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 8 = -9*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14815, 18056, 21297?\n\"Answer: 3241*w + 11574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g + 19. Suppose -3 - 32 = -g*r. Which is the nearest to -1\/3? (a) r (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25277 and 19625.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36\/30*(-2)\/(-56)*-10\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450654\/1565 or -288?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtvvvivzvvtvfq. What is prob of sequence ttiq?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(78\/15 + -1). Let v = n - -29. Solve 4*m - 8 - v = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17979 divided by 5993?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate the common denominator of 13 - (5 + 3) - 1135\/160 and -105\/76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21238206 to the power of 1\/2, to the nearest integer?\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15480 and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(300)*-1)*-6)**2 + 0.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -101111?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 3*f**2 + f - 4. Suppose 0 = -s + 28 - 9. Let i = -22 + s. Let z(l) = 4*l**2 + 2*l + 3*l**3 - 5 - l + 0. What is i*z(c) + 4*v(c)?\nAnswer: -c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 4*h - 6, 0 = -5*x + h + 12. What is the remainder when 18 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 + (-7)\/5. What is the closest to p in 3, 8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31123303 - 0?\nAnswer: -31123303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 + 214554?\nAnswer: 214421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 24.6. What is the closest to 1 in 3\/2, 0.2, w?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1465610 - 1328\nAnswer: -1466938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/12)\/(-5 - -1). Let f = -4011\/19 - -211. Let n = 2.6 - 0.6. Put n, w, f in descending order.\nAnswer: n, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-11)\/21. Let t = 8 + -7.5. Put -0.3, t, g in decreasing order.\nAnswer: t, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1841\/9136 - 8\/571. Let l(q) be the first derivative of 3\/4*q**3 - 6 - c*q**4 + 3\/4*q - 9\/8*q**2. Factor l(d).\nAnswer: -3*(d - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 312482 = p, 0*p - 4*y = 5*p - 1562509. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w - 25. Let p(o) = -5*o + 5. Let g(q) = -j(q) - 4*p(q). Determine g(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*o**3*s - 2858*o**3 - o**2*s + 3883181*s wrt o?\nAnswer: 207*o**2*s - 8574*o**2 - 2*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*u = w - 15, -3*w - 5*u + 55 = 0. Let l(n) = 3*n**3 - 2*n**2 + 10*n - 9*n**3 + 7*n**3 + 10 - 9*n**2. List the prime factors of l(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 29*j + 73. What is s(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p - 3*p + 3*p)*(1 - 3 + 0) - 4 + p + 4)*(2*p - 3*p + 11*p) + 2*p**2 - 2 + 2 as i*p**2 + h + d*p and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/7)*r*r)\/r)\/(r\/((r\/(r\/((r*r\/(r\/(r*r**(-14)*r*r))*r*r)\/r)*r))\/r))*(r*r**(1\/4)*r*r)**46 assuming r is positive.\nAnswer: r**(1941\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 751737 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8284 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 184196564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*l - 425, -3*x + 3*l = -2*l - 638. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) -64\/11 (c) -138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557823897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -985041060?\nAnswer: 985041062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-20)*((-42665)\/1064)\/(-23) and 31\/28.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855 = -200*c + 29*c. Let j = -4 + 4.4. Put 0.5, c, j in increasing order.\nAnswer: j, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**2)\/(t\/(t\/(t*t**(1\/2))*t)))**(-21) assuming t is positive.\nAnswer: t**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from hxdx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -36. Which is the third smallest value? (a) -7 (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121579 is divided by 2702.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291895104 divided by -6.\nAnswer: 48649184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 45 - 44 = -5*q, 158 = 2*i + 5*q. Let l = i - 757\/11. Suppose -m = -0*m - 2. What is the smallest value in 2\/3, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -360 (b) 40 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/24 - v**3\/3 - 3*v**2. Let c = -10 - -14. Suppose 3*j = 5*o + j - 16, -c*o = -j - 14. What is i(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 8:15 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 70*u**2 + 70*u + 83. Calculate f(-69).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 24*u**2 - 34*u - 83. Determine d(26).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + 159 + (-8 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223413 - 156283. List the prime factors of k.\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 332 - 323. Suppose 2*j = 181 + d. Calculate the remainder when j is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73698.66ml in litres?\nAnswer: 73.69866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b9617 - -a4?\nAnswer: 1b96bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 + -149 - (-2 + -32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-114)*4*1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6376 divide 785682600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*k + 4293 = 92*k. Does 52 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1583953 * 0.02\nAnswer: -31679.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 6*p**2 - 11*p - 17. Let i be s(-5). Suppose -17*a = -i*a - 1272. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10475219 to the power of 1\/2, to the nearest integer?\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-16)\/(-12))\/(2\/69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20291 is divided by 9983.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 73. What is the first derivative of -19 - 32*t + 32*t - 28*t**2 - l wrt t?\nAnswer: -56*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 5*w - 10, 0 = -6*h + 11*h + 4*w + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 1 + 3. What is the second derivative of 17*h**4 + 4*h - 17*h**4 + x*h**5 - h wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 - 2 = 2*u, 15 = -3*u. Suppose -4*m - o*b - 3 = b, m + 3 = -2*b. Let n(j) = -2*j. Let g be n(-2). Sort m, -5, g in descending order.\nAnswer: g, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*h + 215, -r - 83 = -5*h + 212. Calculate the greatest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 6, -1\/3, 1\/4, -148, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12)*(-25 + 9). Solve 0*w - 5*o - 28 = u*w, 0 = w - 5*o - 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 0.099467.\nAnswer: -0.100533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80453 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123279884 to the power of 1\/2, to the nearest integer?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.600395124 and -653.\nAnswer: -661.600395124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*g - 38*g - 38*g - 42*g - 1170151 - 42*g + 1170151.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - 3.4?\nAnswer: -124.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6148429 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -615.12 + 615.22. Suppose g = 5*g - 24. Suppose 2*b + g = 5*o, 0 = b + 3. What is the closest to v in 0.1, 4, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/192)\/(((-8)\/16)\/(2\/2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 7181500*k**2 + 6446742781250*k.\nAnswer: 2*k*(k - 1795375)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12698 - 63488\/5. Which is the fourth smallest value? (a) -12\/25 (b) t (c) 6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6102 + -0.0562. Round a to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-28)\/60) - -2626*(-98)\/(-17836).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 11*p + 48. Let d be l(-9). Suppose 9*n - 4*n - d = 0. Solve 4*s = 6*s + n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 7. Calculate f(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88113 is divided by 14676.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -198, -3\/2, -8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 3. Let u be ((-3)\/(-1))\/((-12)\/8). Let y be z(u). Solve -y*d = -5*j - 15, -4*d - 2*j + 7 = -j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220 - -3892. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Suppose -4*b - 5*f = -22, 0 = -j*b - b + 4*f + 7. Suppose 0 = 3*h - w - 23, 0 = 2*w - b*w - 5. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 0*k**2 + 56 - 65 - 6*k. Let o be c(8). Let b be o\/35*5*(1 - -5). Solve -4*p + 0*p - 8 = 5*f, -3*f = -3*p - b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 154\/2739435 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 2*l**2 - l + 2. Calculate i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2283184513 + 2283184569.00000031. Let m = -0.7 - 55.3. Let v = m + c. Round v to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -1323*c + 1338*c. Let j(q) = -q**3 - q**2 - q - 1. Let i(z) = -7*z**3 - 3*z**2 - 8*z - 4. Let w(t) = -i(t) + 6*j(t). Determine w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbnvwtttnvsvwwtv. Give prob of sequence vsbs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = -9, u + 3 = f. Let b(x) = x + 1. Let i be b(-2). Are f and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 16*j**4\/3 + 68356*j**3\/3 + 340916*j**2 + 4292092*j\/3 + 3337684\/3 = 0.\nAnswer: -17029\/4, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utpuptpujupuu. Give prob of sequence jt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. Suppose 16 + 4 = 5*r, 0 = l*v + 5*r - 29. Solve 6*i + v = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 197\/3. Let m = 5 - 0. What is the nearest to 2\/5 in j, 1, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-38025)*-78 - 2928\/104?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12)\/((10\/(-8) - 2)*1).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17776, 17745, 17724, 17719, 17736, 17781?\n\"Answer: w**3 - w**2 - 35*w + 17811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/52494 and -95\/348.\nAnswer: 3044652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 4. Suppose 0 = -2*y - l + 3, 0 = 7*y - 3*y + 3*l - 9. Let c(z) = -9 - z + y*z + 7. Calculate -2*b(h) - 5*c(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110385, 220770, 331157, 441546, 551937, 662330, 772725?\nAnswer: 883122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -12. Is u >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181482510 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 25 = 14*n. Solve 2*h = -4*s + 14, n*h + s + 4*s = 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*j**3 + 2951*j**3 - 5778*j**3 - 11383*j**3.\nAnswer: -13370*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:22 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -37. Suppose 3*t - 2*s + 43 = 0, -2*t + 18*s - 15*s = 32. Is t < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*f - 24, -4*x - 4*f - 1 = -9. Solve h = x*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/1923?\nAnswer: 2\/1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817, -7220, -16235, -28868, -45125, -65012?\nAnswer: -88535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-40)\/42 + 1). Calculate the highest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2. Let q = -15 + 23. Suppose -q = i - 3*i. Let a(m) = i*m - m - 5*m + 4*m. Determine t(a(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by 37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 844. Let u = -108 - b. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313 times -0.1\nAnswer: -31.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456 + -438. What is the remainder when k is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 89*u**2 - 2496*u + 1188. Calculate p(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.1 (c) -4\/9 (d) -2 (e) 19 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -644753*0.5\nAnswer: -322376.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 1106916, -2.\nAnswer: -11, -2, 1, 1106916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 110*l**3 - 3*l**2 - 3*l - 6. Let y(n) = 8249*n**3 - 226*n**2 - 226*n - 452. Calculate 226*t(s) - 3*y(s).\nAnswer: 113*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1646 + -1645.99311. Round j to 4 dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17257, 17259, 17261, 17263, 17265, 17267?\nAnswer: 17269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.323 * -4.\nAnswer: 5.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/15091?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1272121 by -6.\nAnswer: 1272121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1303737000 to the nearest one million.\nAnswer: -1304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 301584772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211.47877 + 84.47984. Let g = -371 - -244. Let p = g - m. Round p to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33417 (b) 5 (c) 3 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 185, -3 in decreasing order.\nAnswer: 185, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + 1956\/11. Let h be 34\/60 + (-14)\/35. Put o, h, -0.5 in descending order.\nAnswer: h, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w\/w**(-2)))\/(w\/(w\/(w*w**(-5)))*w\/(w\/(w\/(w*w**(-2\/15))))) assuming w is positive.\nAnswer: w**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 1\/2, 4, -0.05 in decreasing order.\nAnswer: 35, 4, 1\/2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.9858 minutes in microseconds?\nAnswer: 40679148000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 46030*p + 276191. Calculate g(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t**(-4)*t))\/t*t)**(-39))**(5\/4) assuming t is positive.\nAnswer: t**(-195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5825\/1988 - -312\/71. Find the common denominator of 65\/8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-1 - (2 - 7)). Which is the third biggest value? (a) 0.3 (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c**5\/5 - 5738*c**4\/5 - 1265588*c**3\/15 - 5652934*c**2\/3 - 190939072*c\/15 + 49521152\/15 = 0. Calculate c.\nAnswer: -311\/3, -16, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26*-6\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 - 158*v**2\/7 + 1192*v\/7 - 1032\/7 = 0.\nAnswer: -86, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - l**2 - 4*l - 5. Let o be q(-2). Let n be (2 - (-18)\/(-3)) + -20 + -4. Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/7 of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/1248*(-7)\/(49\/(-60)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Suppose 17*s - 5 = 16*s. Suppose s*d - 4*d - 2*k = 19, 0 = 4*d - k - 41. What is the remainder when d is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1 = 2*h, 18*d - 20*d - 4 = -3*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.4 * -33.6.\nAnswer: 248.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -2. Suppose 24 = g*z + z. Solve 2*o + 0*o + z = 0 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 1534, 3104, 4672, 6238, 7802?\n\"Answer: -d**2 + 1573*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31.3544 * 4\nAnswer: 125.4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 520 + 526 = -5*u, -2*d = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*u + 8, 13 = -0*y + y + 5*u. Let c = -4.72 - -4.6524. Let i = -0.3676 - c. Put 5, i, y in descending order.\nAnswer: 5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1095)\/(-9) - (-4)\/(-6). Suppose 2*d + 4*o = 44, 0*d - w = -5*d + o. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) - 133\/1615. Let l = -6 + 6.5. Which is the nearest to 0.2? (a) o (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 39 = 39. Solve r = j + a + 2, j + j - 3*a = 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 29449.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 9*y**5 - 47*y**4 - 143*y**3 + 1195*y**2 - 1878*y + 360 = 0?\nAnswer: -5, 2\/9, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/90)\/((-6)\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 3. Let n(y) = -215*y**2 + 4*y + 27. Calculate 9*b(f) + n(f).\nAnswer: -197*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - n - 4*n - 2*n + 0 + 0 - 5*n + 4*n + 2*n + (2*n - 2*n - 2*n)*(2 - 2 + 1) + 4 - 4 + n - 2*n + 0*n + n + 2 - 2 - 9*n + n + n + 2*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from uuunnu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7 - 5*g - 4*g**2 - 18 + 12 + 3*g**2 - 2*g. Let n be 1\/1 + -21 + 13. Determine s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12722 divided by 4288\nAnswer: -6361\/2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(45\/6)*156\/(-8). Let n(c) = 1337*c - 1365*c - 12 - c**2 - 6. Is n(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 10929.\nAnswer: 1\/10929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 40 = -4*m, 0*m + 5304*h = 2*m + 5307*h - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-135)\/72)\/5)\/((-2)\/8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 5. Let n be (-8)\/(-2) - 3 - 1*5. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 1, -4\/29, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 14568000?\nAnswer: 14568000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 1. Let f(n) = 5*n - 2. Let v(x) = f(x) + 4*z(x). Let u be v(8). What is the second derivative of -w + 2*w**4 - 4*w + u*w - w wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -262, -263, -262, -259?\n\"Answer: g**2 - 4*g - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 34568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 343, 323, 279, 205, 95, -57, -257?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-27)*-3 + 14\/105*5. Let y(q) = -208*q - 24. Let p(g) = 69*g + 8. Let v(u) = -7*p(u) - 2*y(u). What is the units digit of v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 17*h**2 - 10*h + 307. Determine a(-20).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5. Suppose 0 = 5*u - 12*u. Is u smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8 - 2) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 - 210 = -o. Suppose -96 = o*p - 17*p. Let j = 17 + -10. What is the remainder when p is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-2)\/(12\/18). Solve 0 = -2*i - i + 3*f - r, 4*f - 16 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -30*k + 683. List the prime factors of z(-52).\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 18?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2\/(-1 - 1). Suppose -6*a - 13 = -31. Put t, a, 4 in decreasing order.\nAnswer: 4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + -5*sqrt(171))*2 + (sqrt(171) - (sqrt(171) + 4*sqrt(171)))*-6)\/(1*(2*sqrt(54)\/sqrt(2) - sqrt(27))\/sqrt(3)))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o + 3*v - 1, -5*v = 5*o + 5. Let f be ((-10)\/8)\/((-1)\/o). Let w(i) = 10*i**3 + 9. Is w(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = m + 3*m - 40, -4*m + 5*c + 40 = 0. Solve p = -p + m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 5. Let k(i) = i + 3. Let v be (-2 - 0)\/(26\/65). Let b(x) = v*k(x) + 3*m(x). Let h(c) be the first derivative of 7*c**3\/3 - 1. What is h(b(n))?\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -1227*i**5\/5 - 88*i - 730. What is the derivative of y(p) wrt p?\nAnswer: -4908*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -856708?\nAnswer: -856708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 292008863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282795\/227737 + -3\/7853. Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54502, -218009, -490520, -872035, -1362554?\n\"Answer: -54502*n**2 - n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/413 and 16\/3127.\nAnswer: 21889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4 - 4*i**3\/3 - 3*i**2\/2 + 23. Calculate q(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1833957317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -21*s + 12*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -2, 0, -6, -34, 9 in decreasing order.\nAnswer: 99, 9, 0, -2, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288675 (base 11) to base 5.\nAnswer: 103410221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-1))\/1)\/(-1*7\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12111 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61298809703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18457*u - 18641*u + 6*u**2 + 36690*u to the form c*u + b + s*u**2 and give c.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 32*v - 24*v.\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6635450 and 3500?\nAnswer: 464481500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, -5, 1, 69 in increasing order.\nAnswer: -5, -1, 0, 1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/6*(-6)\/(-5). Let p be (335\/15)\/((-1)\/(-3)). Let a = -131\/2 + p. Which is greater: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 0*w**4 + 5*w**4)*(-43*w + 146*w - 78*w) + ((-6*w + 6*w + 4*w**2)*(2*w - 2*w + 2*w) + 7 - 7 + w**3)*(-5 + 2 + 2)*(-2*w + 2*w + 2*w**2).\nAnswer: 57*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717804 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180370?\nAnswer: 2, 3, 5, 72679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -486 at least as big as -479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 + (-1)\/(1\/(-20)). Let b(x) = 31 + y - x - 40. Let a be b(-6). Solve 1 = 4*g + a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.284 + 58.284. Let o = -844391.99845 + 844450. Let n = o - b. What is n rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 8. Let o be z(8). What is the tens digit of ((-15)\/(-12) - o)*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*t + 658 = -6*t, 0 = -3*c - 5*t + 1000. Suppose -19*l = -8*l - c. What is the greatest common factor of 270 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 12. Suppose 27 + y = -3*u. Let s be 4 + 15\/u*2. Is -1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -441 (b) -10\/3 (c) 117\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 3*i - 2. Let c = 150 + -148. Let g be (1 - 3)\/(-1*c)*3. Give s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**4\/4 + b**3 - 5*b**2\/2 + 3*b - 43. What is the units digit of l(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 8. Let j be f(4). Suppose 0 = -j*a - a - 15. Let l(q) = -3*q + 2. Let n(g) = g. Let y(t) = l(t) + 4*n(t). Determine y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*5\/(-110))\/(((-1)\/6)\/((-200)\/50))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 - 13*f + 29. Let q(a) = -a**3 + 7*a**2 + 19*a - 5. Let z be q(9). Let k be y(z). What is the highest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*l - 189 = 0, -r + 51 = 4*l - 2. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3700 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005896 * 0.35.\nAnswer: 0.0020636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 426622830 to the nearest one million.\nAnswer: 427000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 4*j**2 - 2*j**3)*(-5 + 7 - 3)*(0*j + 0*j - 3*j**2).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2357.753015 - 0.0042\nAnswer: 2357.748815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351 + 459. Suppose 0 = 2*y + h - 326. What are the prime factors of y\/(-8) - (-4)\/(-16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 8:17 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155 - (125 - (128 - 64))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - 2*c - 7. Let v be l(-5). Let u be ((-2)\/(-4))\/(5\/(-60)) + v. Is -0.6 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120e9 (base 16) to base 15\nAnswer: -16dab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871104 is divided by 871089.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/60 + b**4\/4 - 5*b**3\/6 + 4*b**2. Suppose -p + 8 = 4. List the prime factors of h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**3 + y - 17*y**2 + 16*y**2 + 10 + 14*y**3 in the form o*y**2 + z + l*y**3 + a*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 8.5. Sort 0.1, -0.4, s in ascending order.\nAnswer: s, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*-3*(-6)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -523\/2 - -263. Let u = -4 - -4.1. Let w = -0.1 + u. Which is the third smallest value? (a) w (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1757388.9 and 36848?\nAnswer: 1720540.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6)*-2 - -7. Let k be 759996 - ((-48)\/3)\/u. What is k rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897 = -94353*u + 94376*u for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79158697, 79158698, 79158699, 79158700, 79158701?\n\"Answer: j + 79158696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 38*w - 66*w + 5*x, 3*x - 2*x = 4*w + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olaooodoplodpooa. What is prob of picking 1 d, 1 p, and 1 a?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/11)\/(q*q**(-3)))\/((q**(-8\/3)\/q*q)\/(q\/q**(-12))) assuming q is positive.\nAnswer: q**(565\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*m**5 + 4*m**4 + 27*m**3 - 107*m**2 - 3*m + 7?\nAnswer: 780*m**2 + 96*m + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/11, -4, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186113?\nAnswer: 3, 19, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 0, 0.5, 0.3, 194209?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4 = -2*v. Let z = 861 - 858. Sort v, 5, z in decreasing order.\nAnswer: 5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 258 = -5*n - 7*r, 0 = 4*n - 5*r - 180. Let j be n\/30*(-84)\/(-35). Factor -4\/5*c**3 + 0*c**2 + 0*c + 0 - 2\/5*c**j.\nAnswer: -2*c**3*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i + 9. Let y be f(1). Let b(d) = -9*d - 19. Let q be b(y). Put q, 0, 3 in increasing order.\nAnswer: q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-30))\/((-4)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z. Let v(n) = -n. Suppose y = c + 3, 3*c + 3*y = -y + 5. Let r(a) = c*v(a) - b(a). Let i(l) = -10*l**2. Calculate i(r(f)).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5210989 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*m - 735, 5*b = 5*m - 151 - 634. Suppose -m*n = -156*n + 16. Let t(y) = -y**3 + 3*y**2 + 3*y - 2. Give t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = m. Let n be ((-24)\/(-3))\/(2 + m - -1). Factor 0*i**2 - n*i + 7*i**2 - 4*i**3 - 8*i + 9*i**2.\nAnswer: -4*i*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5208 divided by -3\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-677)\/(-70) - 9) + -2 and (-2716)\/660 + (-2)\/(-11).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-87)\/9*27. What is the common denominator of 57\/7 and m\/(-2205) - (1 - 0)\/1?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:28 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792925 and 788?\nAnswer: 3171700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - s + s + (-5*s + 2*s + s)*(-3 + 5 + 0) + 2*s - 3*s - s + (0*s + 3*s - 5*s)*(-6 + 5 - 1) + (-4*s + 4*s - s)*(-5 + 4 + 0).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -29. Let l(a) = a + 1. Let s(g) be the third derivative of -g**4\/12 - g**3\/6 + g**2. Let h(n) = 3*l(n) + 2*s(n). Calculate h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 0*(-8)\/64 + (-1 - (1 + -3802))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28090.51259 - 28091. Round f to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 581 - 582. Is z at least as big as 8\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-16)\/c)*c**(-2)*c*(c*(c*c**(-1\/3)*c*c*c)\/c)\/(c\/c**12))**(-2\/57) assuming c is positive.\nAnswer: c**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 - -5. Suppose y = -2*w - 12, 4*w + 2*y = -y - 26. Which is the second biggest value? (a) h (b) -2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1 + -6)*-1. Suppose -3*g - 7*l + 11*l - 8*l = 43, -4*l = 28. Sort w, -3, g, 0.\nAnswer: g, -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4189.12 and -178375.\nAnswer: -182564.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-12)*r*r)\/r*r*r)\/r)\/(r*(r*r\/r**(-12))\/r)*(r\/((r\/(r*r*r**(-1\/2)\/r))\/r)*r)**4)**(-29) assuming r is positive.\nAnswer: r**(-319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -342*h - 10623. Give c(-31).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.464? (a) 2 (b) -0.2 (c) 0.1 (d) 1\/5 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 4, -296, -3, -36 in increasing order.\nAnswer: -296, -36, -6, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -4)*(-4)\/(-3). Suppose 26 = 4*a + a + m, 5*m = -a + 10. Let w be 2\/(-6) - (i + a). Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -88\/1972349?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.275547671 + 57?\nAnswer: 57.275547671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 + 38815*f - 38810 = 0. Calculate f.\nAnswer: 1, 7762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5166.344 nanoseconds to microseconds.\nAnswer: 5.166344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 3\/6)*2. Suppose -14 = -2*w + 2*i, -5*i = -3*w - l + 36. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -144 + 47 - -95\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102, -177, -396, -837, -1578?\n\"Answer: -13*u**3 + 6*u**2 - 2*u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-1)\/(-4) - 33\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -7 (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 16*j + 14*j. Let b(w) = -4*w**2 + 3*w. Let s(v) = -4*v**2 + 4*v. Let q(f) = 4*b(f) - 3*s(f). Calculate q(h(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-5)\/10)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6246 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 63570*q - 202057245.\nAnswer: -5*(q + 6357)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -10 + -2 + -5 - -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 10. What is r(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15371*i - 179*i**2 + 15371*i + 0*i**2 - i**2 - i**2 + 2*i**2 + 2*i - 2*i + (4*i + 2*i - 3*i)*(2*i + 3*i - 4*i) to f*i + j + w*i**2 and give w.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2 + 8*p + 5. Let q(v) = 2*v**2 - v + 1. Let c(d) = -4*q(d) - r(d). Let z(w) = 2*w + 1. Let a be z(5). Is 17 a factor of c(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16543 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71770 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q. Let j(k) = -k**2 - k. Let p(u) = -6*j(u) + 10*w(u). Let z(x) = -x**3 + x**2 + x. Suppose -315*h = 25*h - 1360. Determine h*z(v) + p(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021111 (base 3) in base 14?\nAnswer: 11ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227123 divided by -2.\nAnswer: 227123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28755 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157368 divided by -650?\nAnswer: -78684\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 25, 3*c - 11*i + 8*i = 132. Calculate the least common multiple of c and 343.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2394171 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -124211243033?\nAnswer: -124211243032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 2*b**2 - 13. What is u(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 3, s: 6, o: 4, n: 1, l: 2}. What is prob of picking 1 n, 2 s, and 1 l?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112817\/69 - 1635. Do n and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/23))\/c**(3\/16))\/(c**(-10\/3)*c\/(c*c**18)) assuming c is positive.\nAnswer: c**(24545\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37294 is divided by 257.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(-1 + 4 - 1) - 2 - 4 + 5 + 4 - 1 - 2)*(-272 + 272 + 8*q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = 3*c, 90*z - 15 = 85*z - 3*c. Suppose -3*s - s = -16. Solve 0 = -z*q - s*i + 6, -3*i = -i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -w - 4, -2*h = -0*h + 4*w + 4. Suppose 0 = -h*k + 27 + 23. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*p + 10 + 6, 20 = -5*h - 4*p. Is h != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 443517345 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1174440, 1, -2 in ascending order.\nAnswer: -2, 1, 1174440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 247, 258, 291, 358, 471, 642, 883, 1206?\n\"Answer: 2*m**3 - m**2 + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*r - 17394 = -19896 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 5197\nAnswer: -15591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*x**5*z**3 + 10*x*z**3 - 9*x*z**2 wrt x?\nAnswer: 1200*x**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2927 - -2931. Put 3\/2, 1\/290, x in increasing order.\nAnswer: 1\/290, 3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v - 2. Let j be b(-3). Suppose -4*h + j - 4 = 0. Calculate the remainder when 7 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {s: 1, e: 1, a: 1, b: 5, c: 1, g: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (-13 - (-33 + 15 + -11 - (8 + -12)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34353332939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248 or -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17644 and 95932032.\nAnswer: 1055252352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59678 + 185549. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**3 + 1 + 0 - 12*t**3 - 14*t**3 as n*t**3 + v*t + o + b*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**3 - 640*q**2 + 1 - q + 1918*q**2 - 641*q**2 - 637*q**2. What is c(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 113*g + 41. Let z be l(38). Let o(t) be the third derivative of -8*t**2 - 1\/12*t**5 + 0*t - 5\/24*t**4 - 1\/120*t**6 - t**z + 0. Give o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0 + 1 - 2 - s - 2*s + s - 4*s + 3*s + 2*s + 0*s + 2*s - 3*s + (3 - 3 + 2*s)*(3 + 0 - 1))*(4*s - 5*s - 6*s).\nAnswer: -35*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -916 - d8a?\nAnswer: -16a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 656*j**2 + 4*j - 3. Let l(u) = -2*u**2. Let a(o) = 2*l(o) + m(o). Let n be 1 - 0 - 0\/(-1). Is a(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:29 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**6\/90 + i**5\/6 - 3*i**4\/2 - 48*i**3 - 97. Let o(u) be the third derivative of v(u). Differentiate o(l) with respect to l.\nAnswer: 8*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 9, -4*f + 4*q - 27 = -q. Let d(m) = -7*m**2 - 678*m - 574. Let j be d(-96). Put 65, j, f in decreasing order.\nAnswer: 65, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 11) to base 16\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 8, -4*n - 2*m + 6 = -m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 6*v - 4. Let y be d(5). What is the lowest common multiple of (y - -14) + (1 - 0) and 54\/(-24)*(-16)\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmiimmmm. What is prob of picking 1 i and 2 m?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20884 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 20*o - 2289. What is r(-39)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8451055 - 8451927.9226. Let u = r + 873. Round u to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1054 + 1898 + 0*j**3 + 2*j + 2*j**3.\nAnswer: 2*j**3 + 2*j + 2952","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*a**2 - 61*a**2 - 60*a**2 - 63*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305418 times -51?\nAnswer: -15576318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z**3)*(5 + 6 - 9).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 764 = -8*o + 2*g, -2*g = -3*o + 571. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.307 and 22.\nAnswer: 22.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjjjryyryraryrrjr. What is prob of picking 4 r?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/17)\/(h*h**7*h)*h**(-1\/4)*h*((h\/(h**6*h))\/h)\/h*h assuming h is positive.\nAnswer: h**(-1045\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 4\/11, -1, -5.8, -0.6, -1\/25, 0.07?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 8965?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 37 = 21*x - 39 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -97144 divided by -5\nAnswer: 97144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*n - 20, -p + 4*n + 8 = p. Suppose -p*y + 9*y - 1 = -x, 0 = -4*x - 3*y - 30. Let c = x - -16. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 2*g**3 + g**3)*(-2*g - 7*g - g)*(2 + 2 - 2).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40439964.\nAnswer: 2, 3, 37, 91081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 1 - 7. Suppose 3*k = -l - 4*l - v, -12 = -2*k + 4*l. Solve 0 = -k*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 0.084?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20672446.\nAnswer: 2, 23, 41, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11044*w - 37. Let f be k(2). Suppose -8*a = 2*t - 3*a - 11021, 4*t - f = -a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3447 or -74\/85?\nAnswer: -74\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 16 = 0. What is the remainder when 19 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 12 - (-145 + 116).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) - 8\/(-2). Let d(s) = s**3 + 5*s**2 + 2*s - 2. Let w be d(-2). Solve -w - 14 = a*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70870861 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/20*(0 - -2) - (-1161480)\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 843 - 174. What are the prime factors of y?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 16 + 16 + -27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 42 = -f. Let d = 16 - f. Suppose 4*i + d*j - 58 = 0, -4*i + 3*j = -0*i - 53. Sort i, 2, 5 in ascending order.\nAnswer: 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 36. Let b(i) = i**3 + 5*i**2 + 3. Let d be b(-5). Suppose 3*q - q - d*r - 24 = 0, -5*q + 73 = -r. What is the highest common divisor of c and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -36*s + 30. What are the prime factors of c(-12)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -19*n**2 + 3005. Let a(i) = -77*i. What is y(a(p))?\nAnswer: -112651*p**2 + 3005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 4. Let u be z(4). Is 26 a factor of ((-45)\/2)\/(6\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 17 = -3*h - 8*k, 2*h - 2*k - 18 = 0. Let d(j) = 145*j**2 + 1. What is the remainder when d(-1) is divided by (h\/(-2))\/((-4)\/74)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 5*i + 30.\nAnswer: -5*(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 42608755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 8*p**2 - 2*p - 7. Let n(j) = -j**3 + 13*j**2 - 3*j + 31. Let c be n(13). What is t(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(405) + 2)*4)**2*-6 - (-3*sqrt(405)*2*3)**2).\nAnswer: -170484 - 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -513\/7. Let q = 4 - 4.4. Let m = q - -0.2. What is the closest to m in -0.3, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 9*a - 1\/78*a**4 - 1\/195*a**6 + 0*a**2 + 1\/65*a**5 + 0 + 0*a**3. Factor k(g).\nAnswer: -2*g**2*(g - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*k - 25 = 5, -3*k - 17 = -o. Solve -4*f - o*d + 5*d + 15 = 0, 0 = -d - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/9)\/v*v\/v**(2\/3))\/((v\/(v\/(v*v*v**(2\/5)*v*v*v)))\/v)**(-35)*((v\/v**(1\/4))**(2\/97))**23 assuming v is positive.\nAnswer: v**(269699\/1746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1800*b**3 + 10*b**2 - 13*b + 12. What are the prime factors of d(3)?\nAnswer: 3, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j)\/(((j\/j**(-2\/25)*j)\/j)\/j) assuming j is positive.\nAnswer: j**(119\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25550 divided by 1022?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/35*30\/(-12)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/35*(-42)\/(-9). What is s rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -236 - 357*m**2 + 132*m**2 + 120*m**2 + 123*m**2 in the form c*m + l*m**2 + i and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136895797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 4, s: 3, l: 1, h: 7}. What is prob of picking 1 h and 1 l?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, y: 6, z: 3}. Give prob of sequence yyz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -118. Suppose m*a + 2444 = 25*a. Suppose -3*n = -7*n + a. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 6*s - 4*s)*(-2 + 3 - 7) + 2 - 3*s - 2 + 2*s + 2*s - 3*s + (5*s - 3*s + 0*s)*(-1 - 1 + 0) - 6*s + 4*s + 3*s as m*s + a and give m.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 + a - 1. Let k(m) = 7*m**2 + m - 1. Let s be 9 - (91\/1001)\/((-1)\/(-33)). Give s*t(r) - 5*k(r).\nAnswer: r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 - 0.23. Which is the smallest value? (a) h (b) -1\/4 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -37, -4, 1, -20 in descending order.\nAnswer: 1, -2, -4, -20, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Suppose -w + 15 = 3*p + 22, 3*w - 5*p = 49. Let i(c) = -24 + c + w + 17 - 125*c. Determine n(i(g)).\nAnswer: 124*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67060 (base 13) to base 4.\nAnswer: 231213013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wggggwgggwgwwwwgww?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2, r: 4, g: 1, w: 2, j: 2}. What is prob of picking 1 z, 1 g, and 2 t?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19543055 divided by -19543055\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, -3\/13175, 1.\nAnswer: -0.5, -3\/13175, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 102 = -2*h, -h - 3*h = 4*l - 204. Let c be (-12)\/4*(3 - 2). What is the tens digit of ((-2)\/c)\/(2\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 543*o**2 + 242*o?\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 179?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 9, 5, 11 in descending order.\nAnswer: 11, 9, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (201*o - 7 - 1080*o - 49*o)*(3 + 2 - 2) in the form b*o + d and give b.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406 + -837\/2. Is h greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**4\/12 - f**3\/6 + 13*f**2 + 8. Let b(v) be the second derivative of m(v). What is the units digit of b(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 5*l**3 - 2*l**2 - 4 - 2*l + 3. Let u be (-5 - (-2 - 1))\/((-2)\/(-12)). Let n(a) = a**2 + a - 133. Let i be n(u). What is z(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -25 + (2 + (-48)\/20)*-5. Suppose 2*i = -4*u - 3*i + 193, -5*u = i - 257. Let n = u - v. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = i. Suppose r - 4*l = 4, -l + 3*l = -4*r + 70. What is the greatest common divisor of i and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3662*d**3 + 2*d + 0*d + 6*d**2 - 6*d**2 + 973*d**3 as v*d**2 + k*d + p*d**3 + h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4. Suppose -27*a - 152 = -854. Let z(u) = u**2 - 17. Give a*n(x) - 6*z(x).\nAnswer: -6*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -25. Let x be (-3 + 0)*16\/(-6). Let v = x - 5. Solve n*g - 18 = -v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -2. Let y = f - -3. Calculate the remainder when 2 - 4\/1 - -37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2106)*1*3)\/((sqrt(2) + -3*(sqrt(18)\/sqrt(9) + sqrt(2)) - sqrt(2)) + sqrt(242)*-3).\nAnswer: 9*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (36 - 48) - (-23 + -7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l. Let k(o) = -7432*o + 17. Give d(k(x)).\nAnswer: 111480*x - 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36002*o = -35792*o + 10710 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*m + 98, m - 46 = -i - 0*m. Which is bigger: 42 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 2, -0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14\/25479?\nAnswer: 14\/25479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.344804 meters in nanometers?\nAnswer: 3344804000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7505568 by -1876392.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236 + 308. Is (-788)\/(-18) - (-16)\/d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219836 divided by -109918.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4*i - 72, 102 = -521*j + 524*j + 3*i for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-133)\/6)\/(-7) + -3. Let a = -1\/3 - z. Let m = 0.1 - 1.1. Is m smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)*x**(-2\/11))**(-6\/17)\/(((x\/x**(2\/7))\/x)**(-14)*(x**1)**(30\/11)) assuming x is positive.\nAnswer: x**(-1147\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 + 2. Let w be s(0). Let v = w - 0. Suppose 7 + 11 = v*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 + 39*p - 27. Give n(9).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, -6, -4, 1, -15482, 4 in increasing order.\nAnswer: -15482, -30, -6, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63872 divided by 4.\nAnswer: 15968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8*f - 5. Let q be x(8). Let l be 1 + (5 - 4) + 4. Let v be q\/l + (-2)\/(-4). What is the greatest common factor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12703, 50095, 112211, 199045, 310591, 446843?\nAnswer: 607795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29441.760032 - -29435.6. Let j = -6.16 - t. Round j to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0 + 3. Put 1, q, -4, 0 in increasing order.\nAnswer: -4, q, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**10\/l)\/(l\/(l*(l\/((l**(-20)*l)\/l))\/l)))\/(l*l\/l**(-8)*l*l)**22)**46 assuming l is positive.\nAnswer: l**(-10810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/165 + (-266)\/(-11). Suppose 2*k = -2*s + 10, 7*s - z = 3*s - 3*k. Solve -4*f + s = 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45219893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3088664 divided by -4.\nAnswer: -772166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(110) - ((sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110)*-3) - sqrt(110)) + sqrt(110))*5 - sqrt(110))\/(-1*sqrt(1440)).\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1510606.7 to the nearest one thousand.\nAnswer: 1511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 41*w**2 - 19*w - 18. Let n be f(20). Suppose 4*z - 3*z = 34. Suppose -88 = -3*o - g, n*o - o + 5*g = z. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + 1. Let z = m - 31. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -19*y**2 + 14*y**2 + 10*y**2. Let m(u) = 10*u**2. Determine w(m(l)).\nAnswer: 500*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 1.52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 - 2 = 0. Suppose 6*j - c*j = -192. Calculate the common denominator of 62\/10*(-30)\/j and 53\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*c**3*z + c**3 - 6*c**2 - 5771*c*z + 3*z wrt c.\nAnswer: 162*c*z + 6*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 99 + 71)*(1 - 1 - o) to h*o + g and give h.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3378 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459882915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33130010 + 0.3?\nAnswer: -33130009.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 12*c - 9*c = 12, 4*y + 2*c = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-108)\/(-9) - -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -1 - (-2*sqrt(34))\/sqrt(2) - (-4 + -2*(sqrt(17) - sqrt(272))).\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6316824 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eteeet?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 + 11 + 68 - (-11 + (2 + 0 - 0)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 15*g - 5*c = 3, -7 = -2*g + 5*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.6781 weeks in microseconds?\nAnswer: 270150914880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -0*m + 3*m. Let x = m - -25. Let y = x + -29. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 11 - 37 + 13 + 255*x to i + k*x and give k.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 5*d - 32. Let m(g) = -g**3 - 2*g + 16. Calculate 5*m(w) + 2*s(w).\nAnswer: -w**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = 5*z + 297. Let o be z - 3*(-3)\/(-9). Calculate the common denominator of o*(-2 + (-45)\/(-22)) and 91\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*y = 291*y - 620. Suppose 0*s**4 + 0*s**2 + 1\/3*s**3 - 1\/6*s + 0 - 1\/6*s**y = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/5 - 12\/90*-3. Let w(i) = -17*i**2. What is w(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -811118282 + -13\nAnswer: -811118295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*3\/21)\/6. Solve 3*q = -4*x - 2, w = -5*q - 2*x - 3*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2020, 4040, 6004, 7882, 9644?\nAnswer: 11260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920436?\nAnswer: 2, 3, 11, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 113052, 112776, 112500?\n\"Answer: -276*l + 113328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 350448297 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 40. Suppose 0 = j*b + 2*d - 26, 32 = 5*b + d - 5. What is the lowest common multiple of b and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 70*o**2 - 448*o - 117. What is i(63)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 20. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) - (sqrt(2) - -2*sqrt(2)*4)**2)*-4 + ((sqrt(154)\/sqrt(7))\/sqrt(11) - (sqrt(2) - (2*sqrt(10))\/sqrt(5)))**2.\nAnswer: -3880 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 29*o**2 + 374*o - 1605. What is k(4)?\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 188*s**2 + 3*s. Let d(j) = -4611*j**2. What is a(d(w))?\nAnswer: 3997128348*w**4 - 13833*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -5*c + 6*o + 291094, 5*c = 5*o + 291010. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from othrpohvohotvrvr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.102 - -1.602. Let c = 718\/9 - 80. Sort -2, c, d, -5 in ascending order.\nAnswer: -5, -2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1134921, 2269833, 3404743, 4539651, 5674557, 6809461, 7944363?\nAnswer: 9079263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 4*b. Let c = -6539 - -6543. Solve b = -7*q + c*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - s**4 - 6*s + 25*s**2 - 2*s - 2 + 8*s wrt s.\nAnswer: -4*s**3 + 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*i + 1111, 2*a - 724 - 1516 = -4*i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8374400 * -3\nAnswer: -25123200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -3*d + 9, 0*m - 3*m = -2*d + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + x**4 - x**4 + (3 - 2*x - 3)*(2*x**3 + 0*x**3 - 3*x**3) + (3*x**2 + 2*x**2 + 2*x**2)*(-2*x + 2*x - 2*x**2) + 10*x**4 + 13*x**4 - 7*x**4.\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -238, 0, 259, -13\/2?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-45) + (-1672970)\/132600.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -471514 and -0.2?\nAnswer: 94302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7193 divided by -2?\nAnswer: -7193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**4\/4 - 43*n**3\/6 + 9*n**2 - 554*n. Calculate i(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, 4, -0.0906?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209029 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.12 + 0.01. Let r = -4.11 - i. Let m be ((-2)\/(-6))\/(7\/(-6)). What is the nearest to m in 0.1, r, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -71307, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*346\/(-519)*4\/(-72)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 4 = 33 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 137209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (-6*(sqrt(17) - sqrt(153)))**2 + -2 - (2*(-1 + sqrt(17)) - sqrt(102)\/(sqrt(42)\/sqrt(7)))).\nAnswer: -sqrt(17) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 51060 divided by -370\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 0*u + 1\/3*u**3 - 3 + 21\/2*u**2. What is the second derivative of m(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 + 748\/9*o**2 + 754\/9*o.\nAnswer: 2*(o + 1)*(374*o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 753, 1250, 1835?\nAnswer: 2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 19. What is b(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/27)\/((-104)\/12))\/((-6)\/(-8)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13920 divided by -240\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*m - 133, -677*w - 240 = -679*w - 5*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15429075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29004727*d**3*r**2 - 20*d**2 - r**2 + 2057027*r + 10 with respect to d.\nAnswer: -87014181*d**2*r**2 - 40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (9 + -15)) + (-12 + 5 - -21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -9*p + 35205, n - 12428 - 5127 = 5*p. What are the prime factors of n?\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 167, 1\/2, -0.3, 0?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -y - 33, 66 = 2*z - 2*y + y. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*d - 2814 + 2814.\nAnswer: 541*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 - -125. Suppose -18*f = -n*f - 1272. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*v - 4 = 5*v, u - v - 4 = 0. Solve r - 2*n - 2 = 0, -r - u*n + 9 = 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-6*(sqrt(130) + sqrt(130)*2 - sqrt(130)))\/(sqrt(10)*-1*-3) + (1*sqrt(1872) - (sqrt(13) + sqrt(91)\/(sqrt(21)\/sqrt(3)))))*-4)**2.\nAnswer: 192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -1501*q**3\/3 + 2872. Let p(u) = -u. Determine w(p(k)).\nAnswer: -1501*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/117378 and 47\/1056402?\nAnswer: 1056402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:20 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r - 49. Let s be y(4). Which is the closest to 1? (a) -18 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54221310 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. Solve 5*w - g*w - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 + z + 1. Let q be u(-1). Suppose 3*n - g + 0*g - q = 0, 3*n = -g + 3. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546032.\nAnswer: 2, 34127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 2. Let o(r) be the third derivative of 7*r**5\/15 + 3*r**3\/2 - 5*r**2. Let a(f) = 9*l(f) - 2*o(f). Let s(v) = 2*v**2. Give s(a(q)).\nAnswer: 98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*y + 523 = -44, 0 = -n - 3*y + 565. Suppose -51*d + 47*d = -16. Suppose -r + 3 = -0*r, -d*j = 2*r - n. What are the prime factors of j?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242813 by -9.\nAnswer: 242813\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -61?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/28*-28*(-98)\/(-49392).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26666567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 38, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 26760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -3, -44, -4 in increasing order.\nAnswer: -44, -8, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*h = 3*p, -h = 3. Let r = 2 + p. Suppose 4*i = -r*i + 16. Solve -d + i*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 196\/9 (c) -3213 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3205502102312 - -0.01?\nAnswer: -3205502102311.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.87 + -2.9. What is the third smallest value in k, -4\/3, -0.2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1266, -1294, -1354, -1458, -1618, -1846, -2154, -2554?\n\"Answer: -2*z**3 - 4*z**2 - 2*z - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15 = 3*y - 3*s, 2*y + 25 = 5*s. Suppose y = 2*m - 4 - 0. Suppose 0 = a - 8 - m. What is the least common multiple of 5 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 4*k**4 - 4*k**4 + (1 - 1 - 10*k)*(1 + 2 - 1)*((0*k + 2*k - 4*k)*(2*k**2 + 2*k - 2*k) + (2 - 2 - k)*(0*k**2 + k**2 - 6*k**2)).\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -4 - 1) + -2 + -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -881 and -76188?\nAnswer: 75307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:10 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 4*j - 3. Let p be b(5). Let r(a) = 27*a**2 - 5*a - 16. Let o be r(p). Let u = -3712 + o. What is u rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136531 + -136531.4. Let v = 0.9 + 0.1. Let h be -2 + (-26)\/(-10) + 0. Which is the second smallest value? (a) y (b) h (c) v (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1782 divided by 18\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (sqrt(76)*-1 + sqrt(76))*6)*1)\/(sqrt(8)\/(sqrt(4)\/sqrt(2))*-4))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2433, 2435, 2439, 2445?\nAnswer: 2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52 + 4*a**2 - 36 + 18*a - 2*a.\nAnswer: 4*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/866 and 3\/4*(1 + 440\/(-105) + 5)?\nAnswer: 6062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1480 + -1480. Let b(o) be the first derivative of 9 - 1\/15*o**6 + 0*o + 8\/25*o**5 - 2\/5*o**4 + 0*o**3 + t*o**2. Determine r, given that b(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feflqeeeeqqeqqenen. What is prob of sequence enf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 304 + -173. What is the remainder when i is divided by 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4827 - 4823. Solve -15 = -u*v + 19*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttppppppptppppttlpp. What is prob of picking 1 m and 1 t?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15684, 31365, 47046, 62727, 78408?\nAnswer: 94089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/54)\/((-5)\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 26 = 21 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 3*x + 4. Let o be k(-7). Let s = 17 + o. Let z(c) = c**2 - 4*c - 6. Let f be z(0). Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -525?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11026 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1615*r + 3150*r + 1834*r)*(2*r**2 - r + r)*(-23 + 23 + 3*r).\nAnswer: 20214*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r + 14. Let o be f(4). What is the highest common divisor of 75 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 147*z - 5209. Calculate j(-59).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 2305213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-20)*-1*-2. Which is the nearest to -2\/3? (a) -2 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 569002602 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3 = -4*k, -93*k - 9 = -89*k - 3*d - 0*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**4\/4 + 4*g**3\/3 - 4*g**2 - 6*g - 1. Let z = 1682 - 1687. Let t be q(z). Solve 0 = -a + t - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15592 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18721 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 26*s**6\/15 - s**5\/30 + 47*s**4\/6 + s**3\/2 + 1003*s**2 - 1. What is the second derivative of w(g) wrt g?\nAnswer: 1248*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -53, -76, -99?\n\"Answer: -23*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*n**3 + 253*n**3 + 336*n**3 - 297*n**3.\nAnswer: 620*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-24)*((-1)\/3 - (110 + -109))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70582?\nAnswer: 2, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/((-2)\/9))\/(54\/(-1872)*-884)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1016*w**2 + 1002*w**2 - 6215*w**2 + 1018*w**2 + 1014*w**2 + 1142*w**2 + 1017*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 7*s**2 - 5*s**2 + 2*s**2 - s**2 + s**2 + (3*s + s - 6*s)*(-s - s + 0*s) as i*s + x + y*s**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -4.08. Let i = -4.1 + h. Let m = i + 0.07. What is m rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36d9 - 7?\nAnswer: -36e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 268e2 (base 15) in base 14?\nAnswer: 33024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) -1 (c) -106 (d) 1.16 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-35) + (-3526)\/1435?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20799560, 20799557, 20799554, 20799551, 20799548, 20799545?\n\"Answer: -3*t + 20799563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 33190379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = 19*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9358.4781 milliseconds in days?\nAnswer: 0.00010831571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clclll. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(220\/(-100))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2097040 and 87\/3336200.\nAnswer: 73396400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -23900000 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 44 = -5*p, 5*m = 2*p + 4. Solve -5*a + 10*a = -2*h - 23, -m*a + 14 = -5*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*v**2 + 121*v**2 - 185*v**2.\nAnswer: -372*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w. Let a(x) be the first derivative of -3*x**2\/2 + 6*x + 3. What is a(o(z))?\nAnswer: -12*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 19808 and 0.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98645, -394747, -888243, -1579127, -2467393, -3553035?\n\"Answer: b**3 - 98703*b**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/(-17*(-16)\/1632)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346157539 by -1253.\nAnswer: -276263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucucrcruucc. Give prob of sequence rccu.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9996 (base 14) to base 11\nAnswer: 18a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142643 (base 7) in base 12?\nAnswer: 13a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/12*(1760\/(-33))\/(-10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - g + 15*g**3 - 6873 - 4*g + 6872. Is q(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 18 - 3*d + 0*d + 0 - 4 to the form p*d + m and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 10:13 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*j = -3*p + 16, 4*j = 2*p + 16. Which is the smallest value? (a) p (b) 3 (c) 14 (d) 2\/5 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vveeeeevvvvvvvvevev. Give prob of picking 2 v and 2 e.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*b + 111*b - 52*b + 363 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 4*w**2 + 4. Let d be l(-4). Let y = d - 2. Find the third derivative of -2*k**y + 2*k**4 + 3*k**2 - 2*k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*y**2 - 4*y**2 + 6*y**2 - 5*y**2 + 2.\nAnswer: y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 30 = -4*y, 5*y + 2*w = 26 + 18. Suppose 0 = -4*m + 5*t - 11, -m = m + 2*t - y. What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/84 - c**3\/42 - c + 43. Let v(f) be the first derivative of u(f). Solve v(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/151536896 and -79\/64944384.\nAnswer: 454610688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3756153 - -304391?\nAnswer: -3451762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 187479 greater than 187596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 4, o: 2, l: 2, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 200 + -6. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = 2*i - 247. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - -17)) + 20 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/2))\/(r*r*(r*(r*r**(-3\/2)*r)\/r)\/r*r))\/((r\/r**(-5))\/(r**(4\/5)\/r)) assuming r is positive.\nAnswer: r**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 25. Suppose -4*f = -12, f + 53 = w + g*w. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/9 + 10*g**2\/9 - 2*g\/9 - 10\/9 = 0. Calculate g.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 21 = -2*w, -10 + 32 = w + 4*g. Let r be ((2 + -2)\/2)\/(-2). Suppose 14 + r = 2*c. Solve -d - c = w*q, 2*q + 4 + 0 = -2*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 4012, 14313, 34874, 69247, 120984, 193637?\nAnswer: 290758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, h: 1}. Give prob of sequence hee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 23789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 12*u**2 + 15*u + 7. Give o(7).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -3, 5, -2 in decreasing order.\nAnswer: 5, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from bwjvbwbwjj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1932309, 3864633, 5796957, 7729281?\n\"Answer: 1932324*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -43, -2961 in increasing order.\nAnswer: -2961, -43, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmffvvmfemmefe. Give prob of picking 1 m and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.98545402 rounded to three decimal places?\nAnswer: 107.985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546634434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f\/((f\/(f\/(f*f*f**(-2\/13))))\/f)*f**0*f\/(f*f**(-2\/9)*f))\/(((f\/(f*f\/f**2))\/f*f\/f**(1\/6))\/((f**5\/f)\/((f**(-8)*f)\/f))) assuming f is positive.\nAnswer: f**(3169\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.05, 2\/17, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39*13\/(234\/12))\/(65\/(-65))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(3\/2)))\/s*s*s**3*((((s*s**(1\/4))\/s)\/s)\/s*s)**(-4\/3) assuming s is positive.\nAnswer: s**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12277*a**3*v**3 + 1237*a**3*v + 2*a**2*v**4 - a**2*v + 4*a*v**2 wrt v?\nAnswer: -73662*a**3 + 48*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 6235?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + -1 + sqrt(3) + (sqrt(30)\/sqrt(90))**2 + (((sqrt(3) - (sqrt(3) - -2*sqrt(3))) + -5)*2)**2.\nAnswer: 442\/3 + 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1. Let l(k) = 2*k + 3 + 9 + 4 - 18. What is -3*l(m) + 6*x(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63800, 65664, 67528, 69392, 71256, 73120?\nAnswer: 74984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 - 4*f - 6. Let t(b) = -11*b**2 + 7*b + 11. Suppose 8 = -r + 2. Let o be (-2)\/r + 13\/(-3). Let a(z) = o*t(z) - 7*u(z). What is a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24069+711.66\nAnswer: -23357.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 423 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 11*b - 6*b. Suppose -3*d + 5*q + 4 = 3, -4*q = -4. What is the lowest common multiple of d and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290899*m**5 + 6*m**2 + 10354278*m wrt m.\nAnswer: 5817980*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/6 - (-10863)\/459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4242776786 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -12. Let v be i\/(-3)*90\/12. Let s = 20 + v. What is the highest common factor of s and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3 + 48*q**2 - 364240*q = 0?\nAnswer: -628, 0, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-14)*(3496\/494)\/(-23).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 w when three letters picked without replacement from {z: 1, w: 2, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150601828 to the power of 1\/2, to the nearest integer?\nAnswer: 56130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*f + 113*f + 6*f**3 + 1 + 1.\nAnswer: 6*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10325.6 - -10348.5999875. Let l = -23 + b. Round l to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 3:39 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 20*c + 17. Let o be g(13). Suppose o - 28 = 2*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9301.\nAnswer: 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11935 is divided by 2111?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192086 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-5)\/((-20)\/4). Let x(j) = -3*j + 4. Let s be x(-4). Suppose 3*g = 4*y - 28, 2*g = -3*y + 3*g + s. Solve -y + o = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 289967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 - -141. What is the biggest value in -3, 2\/5, j, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.285 - -39.455. Round i to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 11 = 32. Suppose -b*s + 2 = -6*s. Calculate the least common multiple of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 31. Let r be g(23). Suppose 4*y - n = 3*n + 64, 0 = 4*y - n - 49. Suppose -y*w = -r*w. Sort -1, w, 1\/11.\nAnswer: -1, w, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**3 + 8*z**2 + 0 - 17\/60*z**5 + 0*z**4 + 0*z. Let b(m) = 2*m. Calculate b(f(l)).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1332 = -11*x + 1176. Suppose -4*y + 3*z + 898 = -0*y, -y + x = z. What is y rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**7\/378 - x**6\/30 + x**5\/6 - 23*x**4\/54 + 11*x**3\/18 - x**2\/2 - 3*x - 33. Factor w(b).\nAnswer: (b - 3)**2*(b - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -201, -348, -507, -672, -837, -996?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (4 + -7 + 3 - 3 - (158 - 168))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992*p = 6*d + 1987*p + 41 - 11, 3*p - 17 = 2*d + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 7410710*j - 2745931135205.\nAnswer: -5*(j + 741071)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**7\/1050 - 37*y**6\/120 + 689*y**5\/25 + 1363*y**4\/6 - 17672*y**3\/15 + 8*y**2 + 439. Factor x(c).\nAnswer: (c - 94)**2*(c - 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, 0, -4.\nAnswer: -4, 0, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -1. Let a = y + -42.851. Let l = a - 15.049. Round l to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 440 and 0.9.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Calculate the smallest common multiple of k and 22 - 12\/((-60)\/25).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4512)\/(-235))\/12)\/((-1)\/2).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0 (c) 118 (d) -1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, b: 3, r: 2, z: 10, s: 2}. What is prob of picking 1 b and 1 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:40 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 (base 10) in base 16?\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 9, b: 3}. What is prob of sequence ajj?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = -2*t + 5, -84 = -29*p + 8*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33 and 2430621.\nAnswer: 2430654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3\/47, 2\/7, 0.112305?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1578257.0052 - -1589056. Let n = h - 10772. Let p = 27 - n. Round p to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**2*t**6 + 2704*r**2*t**4 + 6921*r**2*t - 3*r*t**2 wrt t.\nAnswer: 1200*r**2*t**3 + 64896*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**3 + 138*y**2 + 2446*y + 63849. What is n(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 460 and 3312.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 177. Let p be (-3 - -3) + (0 - 10). What is the lowest common multiple of (-75)\/p*8\/6 and t(-31)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 8*x - 12. Let g(f) = 17*f + 40. What is the units digit of g(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*z + 14 = -34, 4*g + 96 = -z. Let y be -1 + (-4 - -7) - g\/(-10). Which is the biggest value? (a) -0.16 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = k + 1, -2*w - 5*k + 30 = 0. Let o be ((-9)\/3)\/9*-6. What is the third biggest value in -1\/2, w, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**3 + 0*f**5 - 5*f**3 + 2*f**5 + (-5*f + 0*f + 2*f)*(-f**4 + 0*f**4 + 0*f**4).\nAnswer: 5*f**5 - 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3)\/((-60)\/(-50) + -1). Put 0.4, a, 1\/3, -275 in descending order.\nAnswer: 0.4, 1\/3, a, -275","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239989321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 2, v: 10, n: 3}. Give prob of sequence vvn.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 25*m**2 + 5*m + 4. Let j be h(-5). Suppose r + 4*w - 482 = 107, -w + j = r. Suppose -5*u + r = 2*a, 3*u = u - a + 244. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = x - 1981. Suppose -3*s + 2*k + 72 = -x, 4*s = k + 465. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -28. Let x = 14 - k. Put x, -2\/5, -2\/23 in increasing order.\nAnswer: -2\/5, -2\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057901648 to 5 decimal places.\nAnswer: 0.0579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 27*t**2 + 11*t + 164. Calculate b(-27).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/120 + 7*k**5\/20 - k**3\/6 + 7*k**2 + 5. Calculate d(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. Let l = 0.05 - 2.35. Let j = a + l. Put j, 4, -5 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 + 95 = -8*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 20 = 8*y, 5*y - 13 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2)*9\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d**(2\/11)*d))**(-25\/3)*((d*d**8)\/d)**12 assuming d is positive.\nAnswer: d**(2668\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*y**2 + 166*y**2 + 6 - 7 + 5*y**2 as p*y + b*y**2 + k and give b.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 860372 + -860372.007. Let l be ((-3)\/30)\/(0 + -1). Let d = -0.2 + 0.4. What is the fourth smallest value in -2, d, i, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6.2. Let m = 0.7 + d. Let s = m - 0.4. Is s at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-56))\/((-174)\/232)*-10\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:53 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000083927617 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 274*i - 5541. What is v(-252)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61675 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:51 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 1 + 1 + (-4*n**4 + 4*n**4 - n**4)*(-172 + 8 - 60)*(5 + 0 - 3).\nAnswer: 449*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*z - 2 + 3 = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l + 81*l**3 + 7*l + (4*l - 3*l + 0*l + (0*l + 2*l - 4*l)*(-2 + 0 - 1))*(3 - 3 - 2*l**2).\nAnswer: 67*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + d. Let s be t(1). Suppose 21*i + 12 = 18*i. Put -2, s, i in decreasing order.\nAnswer: s, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36412256 to the nearest integer?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13760573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 446*(-1969)\/(-76) - (358 + -356). Let c = 14836 + -3282. Let o = c - q. Calculate the common denominator of o and -53\/22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 + 7*s**2 + 8*s - 6. Let u(o) = -2*o**2 + 15*o + 2. Let g be u(8). Let v(h) = -h**3 + h**2 + h - 1. Give g*v(y) + c(y).\nAnswer: y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14435 + -14437. Put 1, -4, d, 3, -6 in descending order.\nAnswer: 3, 1, d, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(0 - (-1)\/2))\/(-5 + 10). Solve k = 15*a + 29*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 10*r - 1236 - 2177. Calculate the remainder when r is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + 4*b. Let q(w) = -w**2 + w. Let m(j) = -j**2 + 21*j + 4. Let i be m(21). Let v(g) = i*q(g) - r(g). Let h(a) = -3*a**2. Give h(v(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 16*d = 4. Let r be ((-2)\/(-4))\/(4\/8). Let p = 8 + -5. Sort r, d, p in decreasing order.\nAnswer: d, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*d + 5 - 20*d + 8*d)*(-5 + 2 - 1) to the form y*d + g and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 3.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/17 = 301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*r - 23, 3*r - 11 = r + 3*p. Suppose -3*u + 17 = -r. Let a(c) = 2*c**2 - 9*c - 5. What are the prime factors of a(u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1520 and 1516 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 27*j**2 + 36*j - 639. Let y be l(-29). Which is the third biggest value? (a) -109 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123 - -1102?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -174*c**3 - 21 - 488 + 493. Let n(y) = 58*y**3 + 5. Give 5*i(t) + 16*n(t).\nAnswer: 58*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - n**2 + n**2 + 2*n**2. Let i(d) = -d + 1487 + 1479 - 2972. Determine t(i(f)).\nAnswer: -f**2 - 12*f - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 + 5 = 0, -3*t = 4*p + 30. Let g(b) = b**3 - b**2 - 2*b - 2. Calculate the remainder when g(3) is divided by (p\/(-24))\/(2\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2377089 decades to millennia.\nAnswer: 0.002377089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 406 - 435 - (-77 - 4\/4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 4*a**2 - 6*a - 6. Let w be p(-5). Let j = 2 - w. Suppose 3*o = -x + 29, -4*x - j*o + 71 = -0*o. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -121, -264, -457, -724, -1089?\n\"Answer: -4*o**3 - o**2 - 112*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 8218204*w + 8442359623202 = 0. Calculate w.\nAnswer: 2054551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + 6. What are the prime factors of w?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**20 assuming z is positive.\nAnswer: z**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -462 + 578. What is the remainder when v is divided by (-19)\/(-2) - (-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g - 1809 = -23705. Calculate the highest common factor of 506 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56417, -62374, -68331, -74288, -80245, -86202?\nAnswer: -92159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -21*r - 17605. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**4 - 3*v**3 + 44*v**2 + 4*v + 4. Let s(f) = 2*f**3 - 45*f**2 - 3*f - 3. Let z(q) = 3*o(q) + 4*s(q). Find the third derivative of z(l) wrt l.\nAnswer: -72*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -3*h + 140. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = j + 2 - 10, 6 = q - 2*j. Let w = 1 + q. Let z be 0\/3 - -4*1. Solve -5*u = 3*t + 5, z*u = w*t - 2*t - 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/8*-2 + -1. Suppose 0 = t*q - 5*q + 6. Suppose 4*z + 20 = j, -2*j + q*z + 36 = -2*z. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by 2\nAnswer: -187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-90))\/(((-736)\/(-560))\/(-23))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1965264, -3931074, -5896884?\n\"Answer: -1965810*m + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -18. Let q = -34 + 37.7. Let y = q + -4. What is the second biggest value in 4, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 20929430 = 7827806. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3647 - 1165. What is the derivative of n**3 - n**3 - h + n + 27*n**4 + 2456 wrt n?\nAnswer: 108*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -110? (a) 0.4 (b) 4\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k**2 - 134*k**3 - 118*k**2 + 47*k**2 + 44*k**2.\nAnswer: -134*k**3 + 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in -4, 8673, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a - 5*a)*(-88*a - 6 - 9 + 15).\nAnswer: 528*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) 0.5 (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 4, q: 2, t: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o. Let w(c) = 209*c. Let g = -3808 - -3731. Determine g*i(q) - 4*w(q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 4*k + 50, 0 = -5*s - 5*k + 25. Suppose 3*m + s = -5. Put m, 0, 5 in decreasing order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 - 164. Let t = y + -253. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/l)\/l**(-1\/2) assuming l is positive.\nAnswer: l**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24764636580 rounded to the nearest one million?\nAnswer: -24765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k**3 - 52*k**3 + 31*k**3 - 11*k**3.\nAnswer: -106*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687540510.\nAnswer: 2, 3, 5, 7639339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32081839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:53 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -77*t**3 - 5*t**2 - 20*t - 2. Let b(h) = -2*h**2 - h - 1. Let z(g) = 2*b(g) - s(g). What is the third derivative of z(a) wrt a?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*h + 16. Suppose 0 = -3*k + 11 + h. Let l(q) = q - 3. Calculate l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/h**(-3\/7)))\/h)\/h*h**(-29))**(-2) assuming h is positive.\nAnswer: h**(426\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-2)*(2 + 13 + -13). Let g(q) = q**2 + q + 3. Let h be g(-5). Let x = c + h. Solve -l + 0*t = t - 2, -x*t = -5*l + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 463339851 and 9?\nAnswer: 1390019553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, -15, -4, 5\/2, 4\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -11, -3, 3.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-3)\/(-36)). Suppose 3*w - p*a - 54 = -0*a, -w - 4*a = -2. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 6 + -1 + (68 - 76) + -25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -41*u**3 + u**2 - u. Let s be d(-1). Let l = 331 + s. List the prime factors of l.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 866\/(-13856) + 57\/(-624)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1218, -4916, -11080, -19710, -30806, -44368?\n\"Answer: -1233*f**2 + f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/4 + 2847*r**3\/4 - 8652*r**2 - 2847*r + 34596 = 0.\nAnswer: -961, -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.023 + -0.523. Suppose -g + 225 = 2*w, 2*w - 120 = 4*g + 130. Let m = 1957\/17 - w. Put m, l, -9 in increasing order.\nAnswer: -9, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 - 2)*(-2*h + 2*h + h + h + h - h + (4 - 1 - 4)*(h + 2*h - 4*h) + 0*h + h + h + (-1 + 2 + 0)*(-4*h - 2*h - 6*h) + 0 + 0 + 2*h).\nAnswer: -65*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 102789.8 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -557 + -1289. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -80. Let r(p) = -p**2 + p. Let w(x) = x + 4*x - 2*x**2 - 4*x**2. Give k*r(m) + w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 + 49*y**2 + 22*y - 40. Let h(d) = -d**3 - 12*d**2 - 5*d + 10. Let i(a) = 2*g(a) + 9*h(a). Let x be i(10). Solve -5*b = -x*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -944 + 941. Let u(d) be the first derivative of d**2\/2 + 6*d - 1. Give u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 1.8. Let i = 17 - 10. Let x = 6 - i. Which is the nearest to 3? (a) x (b) r (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3406, -5661, -7842, -9913, -11838, -13581?\n\"Answer: 6*m**3 + m**2 - 2300*m - 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3 + 1. Suppose -6 = b + r*b. Let x be b\/10 - (-32002)\/10. What is x rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**5 - 26*c - c**5 - 14*c**5 wrt c?\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 5*d + 1 to the form g*d + f and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 4248794184?\nAnswer: -4248794183.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9752.4*-1.\nAnswer: -9752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 15147333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/50 - i**4\/30 - i**3\/15 + i**2\/5 + 7*i. Let q(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209622.\nAnswer: 2, 3, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 16, -7*s - 17 = -4*s - 2*f. What is the remainder when 23 is divided by 0 + 1\/(s\/(-39))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - a**2 - 15*a**2)*(-2 + 5 + 3).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 10 + -1 + -2 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/77, 1\/48734, -1\/9 in increasing order.\nAnswer: -1\/9, 1\/48734, 2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**10\/378000 - w**8\/50400 + w**5\/30 + w**2. Let h(c) be the third derivative of m(c). Factor h(t).\nAnswer: 2*t**2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x + 18*x = -600. Calculate the least common multiple of 144 and x.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a kilogram in grams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 10570116?\nAnswer: -10570120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let b(h) = -h. Suppose 3 + 2 = -y. What is y*o(l) - 4*b(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3 + 172*f**2 - 1760*f - 1936 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 81, 126, 173, 222, 273?\n\"Answer: f**2 + 40*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 23*l + 40. Let q be w(-21). Let h = 19 - 11. Let z be (-2 + 0)\/(q\/h). Solve -33 = 5*r - z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 5. Let i(b) = -b**2 - b + 1. Let l be i(-3). Let s be q(l). Suppose -4 = 3*g - s. Is g greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2)\/(-4 + 3). Suppose 0 = 2*d - c - 13, y = -5*d + 3*c + 35. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q + 20. Let b be d(0). Suppose -4*t = -14*t + b. Solve 11 = -t*j + 4*r - 3*r, -4*r = 5*j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 1.02 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/6 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6050.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a542 (base 11) to base 16.\nAnswer: -6fba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-84)*12)\/((-87)\/4466*14\/(-4)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166595174 - -354189669683151\/2126050. Let z = 8792438619\/247684825 - n. Let a = 2\/1165 + z. Calculate the common denominator of a and -113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0 + 2\/3*j**4 + 0*j - 1\/3*j**3 - 2\/3*j**2 + 1\/3*j**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let y(m) = 6*m. Let w(i) = -3*f(i) + y(i). Let x be w(1). Suppose x*z + 2*c - 228 + 0 = 0, -c - 367 = -5*z. Is z a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -315354*h. Let f(l) = 7*l**2 - 13. What is f(v(o))?\nAnswer: 696137017212*o**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 55683615627 and -1079.\nAnswer: 55683614548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, d: 4, z: 5}. Give prob of sequence dddz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034014 to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/28)\/(12\/(-14)). Let w = 86597\/8 + -10850. Let k = w + 25. What is the second biggest value in z, 5\/2, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(2530\/(-200))*95\/(-190).\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 94*d**2 - 3*d - 94*d**2 + 12*d**3)*(-6 - 2 + 27) in the form j + g*d**2 + x*d**3 + k*d and give x.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47403219.\nAnswer: 3, 15801073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 639.633 hours?\nAnswer: 26.651375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.9 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 30 = 5*f. Let v = f + -5. Which is the biggest value? (a) 5\/4 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iippipiippppppipipii. What is prob of picking 3 i?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/60 and -55\/139056.\nAnswer: 695280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15109 and 2605.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 88. What is the remainder when l is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 1. Let w = 0.32 - 0.02. Sort w, s, 5.\nAnswer: s, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 313 or 312?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*p - 65499992, -m + 2*p - 5*p = 13100006. Round m to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008754226416 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13108 + 13112. Solve y*d - 25 = -2*v - 35, 2*v + 3*d + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5078171.\nAnswer: 7, 43, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 + 10 - -1) + (-11 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(288) + 1)*-2 - (sqrt(288)*-2 + 2 + 5))*3)**2 + 3.\nAnswer: -3888*sqrt(2) + 93396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*i - 25 - 20, 5*z = i - 17. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120000 (base 6) to base 16\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5414 and 2.5033.\nAnswer: -13552.8662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:22 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 707524 or 707525?\nAnswer: 707525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 126*d - 3098. Calculate the lowest common multiple of u(48) and 40.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*h - 4882 = 3945 for h.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 - -2.5. Let j = -3 + 5. What is the closest to 2 in j, u, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198046 + -410830. Let t be (-163295)\/(-6) - (-1)\/6. Let s = t - a. Round s to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-9)\/q)\/q**(-11) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = q + 15, -2*u - 5*q + 4 - 13 = 0. Let x(h) be the second derivative of h**5\/10 - h**4\/4 - h**3\/6 - 3*h**2\/2 + 3*h. What is the tens digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*p**2 - 464*p + 464*p + (48*p**2 + 55*p**2 - 114*p**2)*(1 + 1 + 0) as d*p + f + a*p**2 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 0*y + 42. Let q(b) = 5*b + 0*b - 2 - 15*b + 4*b + 5*b. Determine q(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339397912 smaller than 339397912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*s - 59*s - 1 - 70*s + 2 + (s + 2*s - 5*s)*(-2 + 1 - 1).\nAnswer: -98*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3552575946 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*d - 30, -4*s - 3 = d + 19. Let n be -2 + -1 + 3 - d. Suppose 2 = t + u, -2*u = -n*t + 3*u - 10. Solve t = 3*z - 2 + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 0 - 4*b - 5 - 6. Determine i(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.184.\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -5, -8135, 5 in decreasing order.\nAnswer: 9, 5, 3, -5, -8135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 + s - 125. Let h(n) = 1. Determine -2*h(m) + j(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/656 and -67\/34768.\nAnswer: 34768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 18*m = -13*v - 64, -4 = v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152 - 135045?\nAnswer: -135230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2827864*l**3 + 138061*l - 10?\nAnswer: 16967184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-78))\/(-4)*1\/(-1)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 4323*z**2\/4 - 21657*z\/2 + 17332.\nAnswer: (z - 8)*(z - 2)*(z + 4333)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3146*j + 9490*j + 3 - 3050*j - 3155*j to the form x*j + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Let p = 3 - z. Suppose -5*m + 2*g + 579 = 0, m - 111 = p*g - g. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215 a factor of 1791833845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 2503*h - 7575. What is c(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18 - ((-65)\/(-30) + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.297 (c) -2\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 2.02. Let v = -5 - -5.08. Let l = d + v. Which is the closest to 2\/11? (a) l (b) 3\/4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6630 = 380*n + 3210 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 0.2, -4, 0.1199, 2?\nAnswer: 0.1199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/24 - (48\/(-18) - -2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*y + 9, -27*y + 2*d = -26*y - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-three eighths of a week?\nAnswer: 79380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*i**2 + 66*i**6 - 45*i**2 - 3736*i**6 - 18 + 56 wrt i.\nAnswer: -440400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let v(t) be the second derivative of -t**5\/120 + t**3\/3 - 4*t. Let u(b) be the second derivative of v(b). Calculate z(u(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((y + y + 0*y)*(1 + 1 - 3) + 3*y - 5*y - 5*y - 2*y - 2 + 2)*(-97 - 30 - 24) in the form s + i*y and give i.\nAnswer: 1661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - 5*k**4\/12 + k**3\/2 - 2*k**2 + 17490*k + 2. Let q be (-2)\/(-5) + 46\/10. Determine f(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28796955013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:24 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 + t**4\/6 - t**2\/2 - 2*t. Suppose -l + 0*l + 1 = 0. What are the prime factors of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -54*b - 1109. Give n(-20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*a**2 + 12*a**2 + 13*a**2.\nAnswer: 327*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 0, -15 in increasing order.\nAnswer: -15, -10, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 11*u**2 + 4*u - 1. Is i(11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13\/3, -131, 2\/5, 2, -2 in ascending order.\nAnswer: -131, -2, 2\/5, 1, 2, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85.03 - 85. Sort w, 0.2, -5, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3134? (a) 1 (b) -3 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - n**2 - n**2)*((3 - 3 - 2)*(-3 + 3 + 2) - 1 - 1 + 3)*(-29*n**3 + 36*n**3 - 152*n**3).\nAnswer: -870*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 4*h**2 - 2*h + 1. Let d be f(-2). Let t(z) = -z - 2*z + d*z. Let j(p) = 0*p**2 + 2*p**2 - 4*p**2. Determine j(t(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -32, 4 in descending order.\nAnswer: 4, 2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-11 - (20 - 34))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 21. Let t(i) be the third derivative of i**4\/24 + i**3\/6 - 5192*i**2. Calculate t(q) - w(q).\nAnswer: q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*s - 7*s**3 - 452*s + 3 - 3 + 5*s**3.\nAnswer: -2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/((-1)\/12). Sort -0.5, v, -10 in descending order.\nAnswer: v, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4280 - 4280.5. Sort 4, -2, -0.1, b, -2\/3 in increasing order.\nAnswer: -2, -2\/3, b, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3426 - -3576. Sort 4, 2, v, 1 in ascending order.\nAnswer: 1, 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*r = 28443, 2*q + 100*r = 96*r + 56886. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 656 by -4.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 656 + -656. Let t(g) be the first derivative of 5 - 4*g + k*g**4 + 0*g**3 - 17\/5*g**5 + 0*g**2. Differentiate t(b) wrt b.\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37842 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 7:15 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503 + 519. Suppose -404 = -x*a - 436. Sort 0, a, -12, 2 in descending order.\nAnswer: 2, 0, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 3, -5, 350 in increasing order.\nAnswer: -5, -4, -1, 3, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 76 = -x, -7332*s + 7336*s - 30 = -2*x for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3262 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 938*f + 1909 + 23390 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.2, 0.1, -28, -1\/1139, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 - -251. Let q = -747 + 6743\/9. Calculate the common denominator of q and g\/14 - (3 + (-1475)\/168).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248430 and 16317.\nAnswer: 27575730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**8\/112 + 3*b**6\/40 - b**5\/10 + 10*b**2. Find l, given that c(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10889*c. Let f(g) = 5*g + 216. Give f(v(s)).\nAnswer: 54445*s + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1793*c**2 - 177*c + 2.\nAnswer: 3586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16324 is divided by 4258?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 296\/10 + 5 + 115\/(-25). Let d = 35 - t. Suppose -4*u + 51 = -d. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:25 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9268.9 and -0.27.\nAnswer: -2502.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 202\/(-3)*(0 + 3\/2). Let v = 56 + w. Let j be ((-84)\/v - 2)*3. Sort -0.5, -2\/3, j, 5 in descending order.\nAnswer: 5, j, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -6 + 11 - 1495\/(-221)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 1, r: 2, a: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**3 + 145256*d**2 + 6835684*d + 6690424 = 0 for d.\nAnswer: -46, -1, 36361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -4, -2 in descending order.\nAnswer: 10, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 214302?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 4*x + 18*x**3 - 4*x.\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811, -1613, -2415, -3217?\nAnswer: -4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 14*c + 24 = 0. Suppose -7*b + 2*t = -4*b - 3, 3*b = 5*t + c. Which is greater: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806534072 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709*(-6)\/24*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14963 is divided by 110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-98)\/7*2\/(-1). Suppose -w - 3*j = -19, u*w - j - 37 = 24*w. Calculate the remainder when 39 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = 5*l - 30, 2*l - 9 = 3*o. Let z be (-30)\/35*(-21)\/l. Suppose 24 = -3*m + z. Is m <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + 22\/(-4))*6. Let h(t) = -t**2 + 3*t + 3. What is h(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32376 is divided by 8093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {v: 1, m: 3, t: 3, i: 5, b: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceyr when four letters picked without replacement from erscssrerycr.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 21*r - h = -98, -5*h = -5*r + 230. Calculate the lowest common multiple of r and 2 - (-4)\/(-3 + 7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609563?\nAnswer: 389, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 29 + 52 + 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 6, n: 3, h: 1, w: 2, o: 2}. What is prob of picking 1 h and 2 w?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109857 and 1461431.\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -a. Let f(n) = -n**3 - 10*n**2 - 14*n + 20. Let l be f(-8). Solve -a*p = -3*p - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g**2 + 18*g**2 + 21 - 22.\nAnswer: 62*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-seven quarters of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732, 2534, 5132, 8520, 12692?\nAnswer: 17642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - 0))\/(586\/(-5860))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64804 is divided by 11909?\nAnswer: 5259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, j: 8, z: 3}. What is prob of picking 1 z and 3 j?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.649153 hours to microseconds.\nAnswer: 16736950800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 > 7272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 3 + 2*g**2 - 40*g**3 - 2 + 39*g**3 to u*g**2 + x*g + h*g**3 + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17 + t**3 + 17*t**2 + 0*t**3 + 0*t - 6*t - 8*t. Is n(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 + 130 - 37 - 93 - 130*i**2.\nAnswer: -151*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjtkknkkdqktkjqtktj. Give prob of picking 1 d and 1 j.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 2*l**6\/15 - 4*l**3\/3 - 20*l. What is the second derivative of g(v) wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 930984 divided by -930984?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -136, -537, -1306, -2563, -4428, -7021?\nAnswer: -10462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6000)*3)\/(sqrt(972) + (sqrt(972) - (sqrt(972)*5 + sqrt(972) + sqrt(972) + sqrt(972) - sqrt(972))*-1)).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:00 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.403, -0.4, -2\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -80, -106, -116, -104, -64, 10?\n\"Answer: b**3 - b**2 - 40*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*m + 21*m - 38*m - 1961*m**3 to x*m + i*m**2 + t*m**3 + w and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 728918*n*t*w**2 - 9*n*t + 2*n + 25372055*t*w**2 wrt n?\nAnswer: 728918*t*w**2 - 9*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = -3*l, 0 = 8*l - 3*l - 15. Let d(g) = -g**3 - 9*g**2 + 11*g - 7. Let w be d(i). Let o = 20 + w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000590426468 to six decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 12*u**2 - 13*u - 1. Let q be g(13). Let d = 0.04 - -0.66. What is the third smallest value in q, d, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 6*l = -5*b + 1, -2*b - 23 = -3*l. Let o = 10 - l. Is o >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165 is divided by 257?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t, 2*t = -5*b + 4*t + 15. Suppose b*o - 196 - 389 = 0. Let g = -107 + o. What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:03 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 157176.\nAnswer: -7\/157176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.073 - 0.018. Let i = 0.191 + o. Which is the nearest to i? (a) -2\/149 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from fubbbbuuuuubsss?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -248e49?\nAnswer: 248e4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -100*v**2 - v + 2. Give u(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-168)\/(-54) - ((-48)\/54 - -1). Let a(w) = 32*w**3 - 2*w**2 + 7*w + 1. What is the tens digit of a(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508307?\nAnswer: 19, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*p**3 - 95*f**3*p**2*x**3 + 11*f**2*p**3*x - 2*f*p**3*x**3 - f*p**2*x**3 - f*p*x wrt f?\nAnswer: 6*p**3 - 570*p**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*i = -1688*i + 770, 4*u = 3*i - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.4. Let w be ((-8)\/(-12))\/(2\/15). Let d be w - (-5)\/(5\/(-2)). What is the third smallest value in -3\/7, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 313, 422, 575, 772, 1013, 1298?\nAnswer: 1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/16812 and 80\/9807.\nAnswer: 117684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7252 divided by 2?\nAnswer: -3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 + 5*s - 23*s - 31*s**3 + 18*s**3.\nAnswer: 2*s**3 - 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151179872 divided by -21088.\nAnswer: 7169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 11*g**2 + 36*g + 82. What is the units digit of p(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**2 + 16*v**2 - 24*v**3 + 16*v**3 + 11*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 2*q - 2 + 3 - 4*q**2 + 3*q**2 to r + l*q**2 + d*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:26 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10294270 and 1305?\nAnswer: 2686804470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 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: Let y(l) be the third derivative of l**5\/60 - l**3 + 2*l**2. Suppose 5*c + 3*b - 95 = 0, -2*c - 5*b + 85 = 28. What is the remainder when y(6) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**(-1\/8)))\/(n**1*n))\/(n**(-1\/4)\/n)**(-22))\/((n**(-1))**(-17\/5)\/((n\/(n*n**6))\/n**1)) assuming n is positive.\nAnswer: n**(-1641\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151541676 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14540410 (base 6) to base 2.\nAnswer: 1111100101100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 9:50 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + -12 + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from ibrbiizniddbrnzbrd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7902260 is divided by 12328?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5327 is divided by 189.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 1\/2 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 14. Let h be 5\/35 - 8\/(-42). What is the closest to -1\/2 in 4, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 114 + 2\/5*o**3 + 1142\/5*o + 574\/5*o**2 = 0.\nAnswer: -285, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-55*(-62)\/(-518320))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51759081.93000117 - 51759083. Let h = 0.7 + 0.37. Let j = a + h. What is j rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-12)\/m*m*m*m**12*m)**37 assuming m is positive.\nAnswer: m**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 33 = g - 3*k, -g - k + 3 = 0. What is the remainder when 17 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 4*j - 3. Let u = 9 - 6. Suppose -7*y - 5*c + 34 = -u*y, 0 = 3*y - c - 35. Suppose 4*z = 4*p + 36, 4*p + z = -0*z - y. Give f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -970 - -1840. Let u be t\/42 + 6\/21. What is the common denominator of 27\/8 and 4 + (-6)\/u + -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 265859*q**2 - 392159*q.\nAnswer: 531718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 252784950?\nAnswer: 252784950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3 + sqrt(44))**2 - 1*sqrt(704) - (-4*(sqrt(11) - sqrt(275))**2 + 3*sqrt(44)\/sqrt(4))) + 2) + -2.\nAnswer: 2*sqrt(11) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*u - 8*u. Let a = -6 + 44. Suppose -2*l + 10 = -4*w, 4*l - 2*w = a + 12. What is the highest common divisor of l and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 4, -71 in ascending order.\nAnswer: -71, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + a + 7 = 4*a, 0 = -5*s + 5*a + 15. Let u = -127 - -127.91. Let g = -0.61 + u. What is the third smallest value in g, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 3, m: 3, w: 1, d: 11}. Give prob of sequence wda.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*v - 5, -2*v = v + u + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*l**4 + l**2*z + l**2 - 1753*l + 366788*z + 6 wrt l.\nAnswer: -96*l**3 + 2*l*z + 2*l - 1753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48827, 96879, 144929, 192977, 241023?\n\"Answer: -p**2 + 48055*p + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*r - 0*m + 25, m + 25 = 5*r. Let q = -4 + r. What is the smallest value in q, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 32*n - 19*n + 1257*n**2.\nAnswer: 1257*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*j**2 + 0 - 1\/4*j**3 + 0*j = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide -124*(5\/(-5))\/(1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -7\/12 (c) 40757\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 571 - 4014\/7. What is the common denominator of n and 1\/(-9)*((-28386)\/(-12))\/19?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151810189 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 210121200023 (base 4) in base 7?\nAnswer: 144050126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(147) + -1*sqrt(147) + -3 - sqrt(147)) + -5*(3 + -1*sqrt(147)))*-1)**2.\nAnswer: -952*sqrt(3) + 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = -63 + 43 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 27*h - 18. Let y(z) = -28*z + 19. Let d(u) = -5*j(u) - 6*y(u). Let q be d(6). Let v = q - -623. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4840\/(-33))\/1*(-7)\/2. Is x less than 514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z. Suppose -4*p + 2*a = 3*a - 15, 0 = -2*p + 2*a + 10. Let n(w) = p*w**2 + 28 - 28. Calculate n(d(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**3 - 6*y**3 + 0*y**3 - 3*y**2 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -10)\/(2\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4 in descending order.\nAnswer: 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*w + 11. Suppose -w*k + 3 = -39. What is the remainder when 62 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 74\/1324981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*c - 5013 + 8217 + 7796 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23550013*v + v**2 - 208 - 23550013*v to y + n*v + p*v**2 and give y.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 312, 620, 1148, 1908, 2912, 4172, 5700?\n\"Answer: 2*g**3 + 98*g**2 + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c. Let o(u) = u - 1. Let r(n) = -2*o(n) + w(n). Let b be r(2). Determine h, given that 4*h**4 + 0*h**4 - 5*h**b + 4*h**5 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707916751?\nAnswer: 59, 11998589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v**2 + v - 3. Let p(u) = 162*u**3 - 4*u**2 - 4*u + 8. Determine 4*d(r) + p(r).\nAnswer: 158*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -74, -111?\n\"Answer: -37*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33\/22*(-8)\/42\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - ((-22)\/(-4) + -2). Let w be 4\/(z\/(-10) + 21\/35). Find the third derivative of 41*r**w - 53*r**4 - 23*r**2 - 15*r**2 wrt r.\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdbttt. Give prob of picking 1 b and 1 t.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of (-75391250)\/(-4730) + (-4)\/(-86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 2*w + 5. Let m be i(5). Let y = m + -26. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81897036 rounded to 2 decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 17*m**2 + 35*m + 22. Let f be 42756\/2545 + ((-32)\/(-10) - 1). Give q(f).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-5 + 15 + -6 - 1). Solve -w + 2 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 + (4 - 4 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -0.1419.\nAnswer: -0.0581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 28a14?\nAnswer: 28a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h - 282*h**2 + 2*h + 7*h**3 + h + 17*h**3 wrt h?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*k = -31 + 6, 65 = 2*i + k. Let y = 17 + -8. Calculate the remainder when i is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 751 - 762. Put 0, f, -3 in ascending order.\nAnswer: f, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/340656 and 83\/56024.\nAnswer: 50757744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(468) + sqrt(13)) + (sqrt(208) + 4 + sqrt(208) + 2 + sqrt(208))**2.\nAnswer: 123*sqrt(13) + 1914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24681 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258570 divided by -9945.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4039654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4084 = 17*o - 10*o. List the prime factors of o.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35160505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -138?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/(i*i*i\/(i*(i\/(i\/((i*i*i**(-24))\/i)))\/i*i*i)*i))*i*i*i**(3\/2) assuming i is positive.\nAnswer: i**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 0*t + 2*t - 79 = 0, -t + 81 = 5961*y - 5953*y - 8 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**2 + u. Let j be -9*((-12)\/9 + 2). Let g(n) = -4*n - 4*n**2 + 9*n**2 + 3*n. Let f(x) = j*w(x) - 7*g(x). What is f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 60133 - 60113 = -4*c, -5*j + 11 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(162).\nAnswer: -9*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2 - 8. Let q(l) = 17*l**2 + 15. Let u(f) = 13*i(f) + 6*q(f). What is the derivative of u(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1822 divided by -6733\nAnswer: 1822\/6733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w - 34*w**2 + 1157 - 6*w**2 - 12*w**2 + 1225 wrt w?\nAnswer: -104*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4671 + 4686 + (2 - 14\/(-1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*w**2 - 101*w**2 + 0*w + w - 76*w**2 to the form h + g*w**2 + r*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-18)*(0 + -3). Let z(q) = q**2 - 16 + 0*q - 4*q**t + q**3 + 4*q + 14. Let j be z(1). Solve 3*o + o - 4 = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1782 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1143002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 12 + 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1428, 1170, 5450, 11412?\nAnswer: 19056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52962528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6*a + 2. Suppose 0 = -w + 8 - 5. Suppose q - 13 = -3*j, q - j + w*j = 14. What is the smallest common multiple of q and u(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:36 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l = 1140. Let n = 4330\/19 - l. Let d = 3801 - 3798. Which is the second biggest value? (a) -2\/5 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 26. Suppose 8*t + 3*v - 39 = 11*t, 0 = -2*t + 3*v - 30. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/3 - 40*j**3\/3 + 76*j**2 - 72*j - 162 = 0.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16391 + -7504. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1337\/(-49) + (-2)\/(-7). Let q = 30 - 30. Let z be -31 - q - ((-12)\/(-4) + -6). Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 - -1254. Round g to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 - g**4)*(3 + 3 - 1)*(-2 + 0 + 1)*(-5 + 2*g + 5).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - d**3 + 58*d - 9*d**2 - 60*d to the form l*d + v + u*d**3 + o*d**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 4. Calculate the remainder when (7 - (-10)\/(-2)) + 3 is divided by d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(847))*3 + (6*sqrt(63)*-1)\/(1*sqrt(225)).\nAnswer: -996*sqrt(7)\/5 - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*d + 125. Let x = 109 + -41. Let p = d + x. Calculate the remainder when p is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-15 - -24 - 38) + 10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 1:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**8\/10080 - y**5\/12 - 2*y**2. Let n(i) be the third derivative of r(i). Let t(s) = -6*s**2. Determine n(t(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464075.32 rounded to the nearest ten thousand?\nAnswer: -3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20774 divided by -5?\nAnswer: -20774\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111000011101001 (base 2) in base 6?\nAnswer: 2005121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61051 + -61051.4. Let r = 5 - 0. Let s = 5.3 - r. Which is the closest to -1? (a) s (b) 7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1404*u - 16846. Let a be r(12). Let m = -38 - -17. Sort m, a, -2, 5 in ascending order.\nAnswer: m, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.269 - 930.269. Let d = z - -924. Which is the second biggest value? (a) -3\/4 (b) d (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10243, -3 in decreasing order.\nAnswer: 10243, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -163698*a**2. Let x(i) = 2*i**2. What is x(y(w))?\nAnswer: 53594070408*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 19, 47, 87?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24558 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v + 254. Calculate d(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -de?\nAnswer: e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/20 - z**5\/30 - 2*z**4\/3 - 4*z**3\/3 - 6*z**2. Factor g(w).\nAnswer: 2*(w - 2)*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1695 and 370816845.\nAnswer: 370816845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 573811651 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.157 + -0.207. Let r = -2 - -1.75. Let o = r + v. What is the nearest to 1\/4 in -5, 4\/7, o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whf when three letters picked without replacement from {w: 1, h: 5, z: 5, y: 3, f: 5}.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 7*v**4\/12 + 2*v**2 + 381*v. Let z(l) = l**2 - 3 + 3. What is f(z(u))?\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2908.276 times -0.33?\nAnswer: 959.73108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210 + 336. Let c = -100 + i. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, 3, -1, 4, -665 in ascending order.\nAnswer: -665, -1, 3, 4, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 greater than or equal to 0.422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001849 to five dps.\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*g + 350 = -99*g + 183*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 16 = -4*h, 5*h = i + 6*h - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c - 69 = -54*c. Let w = c - -88. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16679.84966 to the nearest one hundred.\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2017 and 227761.\nAnswer: 225744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*l = 15, 2*z - 3 = l - 6. Let d(u) = -3*u - 15. Let g(o) = 2*o + 7. Let h(p) = z*d(p) - 7*g(p). Differentiate h(s) with respect to s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34122 and 1410.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 365, 1019, 1963, 3209, 4769?\n\"Answer: 2*i**3 + 133*i**2 + 241*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-106)\/(-3)*6*1. Solve 53*v + n = -53 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 445 + -613. Let f be h\/(-56) + 1\/((-1)\/3). Factor 2*p**2 + 1\/2*p**4 - 2*p**3 + f + 0*p.\nAnswer: p**2*(p - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 151, 349, 627?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 43880*m**2 - 87542625*m - 39140268750 = 0. What is m?\nAnswer: -374, 4575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5211?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 + (-12)\/(-10). Suppose -5*n = -8*n - l - 4, -2*n + 1 = -3*l. Let y be 0\/(3 + 1 - 1). Sort d, n, y in increasing order.\nAnswer: n, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 314\/6 - 85\/(-51). Suppose 12*o + 6*o = m. Solve -p - 12 = 4*u, 0*u - o*u - p - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 196*l - 192*l - 16. Suppose -2*d = 4*q - 16, l*q - 26 = -d + 4*d. Solve -12 = q*w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d + 5*n - 109 = 0, -3*d + 89 = n. Let r = -14 + d. Let q(u) = 10*u + 14 - r. Calculate q(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67290?\nAnswer: 2, 3, 5, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s - 103*s + 418 = -51*s - 494 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 5*l**2 + 5*l + 11. Let p be j(-3). What is the highest common divisor of 322 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10360, -34, -2, 5 in descending order.\nAnswer: 5, -1, -2, -34, -10360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 2*i - 3*i)*(-6*i**2 - i**2 + 2*i**2) + 229*i**3 + 180*i**3 - 468*i**3 - i as k*i + b + t*i**3 + x*i**2 and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -222232020 (base 4) in base 10?\nAnswer: -174984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9286477 greater than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 1001, 2719, 5237, 8549, 12649, 17531, 23189?\nAnswer: 29617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-5) + (-60)\/100. Let z(h) = -h**3 + 5*h**2 + 6*h + 8. Let d be z(s). Let t(k) = 3*k - d*k + 2*k - k. Let x(y) = -y**2. Determine t(x(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193913 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z + 2. Let j(q) = 2*q**2 + 9*q - 3. Let k(a) = 5*h(a) + 2*j(a). Let l be k(-7). Solve -s - 4*r = -7 + 2, -s + 5*r - l = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 - 203. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 635 + 4183*c + 632 - 1267 in the form r + w*c and give w.\nAnswer: 4183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 213 + 50*q + 76*q - 4742 + 197*q - 2*q**2 wrt q.\nAnswer: -4*q + 323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.3 (c) 4 (d) -6\/121 (e) 0 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 97.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -41 - 34. Let o be (1 + 1)*w\/10. Sort 5, o, -1 in decreasing order.\nAnswer: 5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 37*j**4\/12 - 7*j**3\/6 + 8*j**2. Let w be u(2). Let z = 662 - w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let m be ((-8)\/(-14))\/(-1 - k). Let a(q) = -q**2 - 3*q + 4. Let n be a(0). What is the second biggest value in n, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18847 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13*b + b**3 + 7*b - 21*b - 3*b**3 to the form v*b**2 + z*b + p*b**3 + x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -13. Let d = k + -1. Let l(j) = -3*j**3 + 7. Let x(r) = r**3 - 2. Let s(c) = d*l(c) + 8*x(c). Differentiate s(p) wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -195, -136, -43, 96?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*t + t + 20, 3*j - 8 = -2*t. Suppose t*u + 5*l = 162, 86 = -4*u + 4*l + 266. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -30, -39, -44, -45?\n\"Answer: 2*b**2 - 19*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3)*(-19 + 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(0 - 2 - 2)*(-28*x + 13*x + 28*x) + (2*x + 3*x - 3*x)*(-3 + 2 - 1) - 1 - 2*x + 1 in the form f*x + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = x - 91, 31 = b + 2*x - 7. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, 2, 112?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1457 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 - k**3 - k**3)*(9 - 34 + 38 - 2*k) as a*k**4 + c + t*k + w*k**2 + z*k**3 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqi when three letters picked without replacement from {i: 2, f: 1, z: 2, q: 4, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -928 + 962. Let v = j + -34.1. Let y = 19 - 9. What is the second biggest value in v, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64286?\nAnswer: 2, 32143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86957696 and 1184.\nAnswer: 86957696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8515824329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2.51, -170, -0.2, 0.9, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031412451?\nAnswer: 3, 1010470817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24177276 + 24177275.9557999826. Let y = 0.0442 + u. What is y rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 79. Which is bigger: 1\/71 or w?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 2\/33 (c) -3 (d) -13 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1723*a - 5127*a + 1679*a + 1720*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*i - 2)*(0 + i + 0) + 233*i - i**2 - 233*i to the form b*i**2 + a*i + g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgwibjaa. Give prob of sequence jgwi.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - -62 - (17 - (-1 + (-3 - -8)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -38*t + 39*t - 45, 5*t - 3*k - 1 = 0. Let f be 50\/(-8) + (-2)\/(-8). Which is the fourth smallest value? (a) 0.2 (b) f (c) -1\/4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 1300012?\nAnswer: 1300022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 25510443?\nAnswer: 76531329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(500) + 0 + 5))**2.\nAnswer: 1600*sqrt(5) + 8400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. What is the third smallest value in -0.02, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15359 + 15330. Suppose 3*k = -3*q - 2*q - 731, 4*q = -2*k - 584. Let f = j - q. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 - 5 = -5*p, 2*h + 6 = 5*p. Let v(y) be the first derivative of y**4\/4 + y**3\/3 + y**2 - y + 230. Give v(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98850 and 9885.\nAnswer: 98850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - d. Let z(q) = q**2 + 4*q. Let k = -20 - -19. Let r = 4 + k. Suppose -3*g + 4*g - r = 0. Calculate g*h(p) + z(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:18 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.994 and -42.0054.\nAnswer: -46.9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2779244 and 21\/958360.\nAnswer: 27792440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 654612*r - 35709739212 = 0.\nAnswer: 109102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2925 + 2925. Which is smaller: o or -6\/529?\nAnswer: -6\/529","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + a**2 + 972*a - 972*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204993, -409939, -614885, -819831?\nAnswer: -1024777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3096 by -86.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/27, 15, -0.5, -0.4 in descending order.\nAnswer: 15, 10\/27, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 4. Suppose 78 = -0*u - 3*u. Let t(i) be the first derivative of 9*i**2\/2 - 17*i + 103. Give u*f(r) + 6*t(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:15 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))\/p)**(1\/3)*(p\/(p\/p**(2\/17)))\/p**(-6) assuming p is positive.\nAnswer: p**(295\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 194\/5, 7\/856, 1 in decreasing order.\nAnswer: 194\/5, 1, 7\/856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 15 = 0. Suppose j*x - 28 = 17. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 515. Let l(w) = w**2. Give l(o(n)).\nAnswer: 9*n**2 + 3090*n + 265225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -165.8? (a) -0.1 (b) -3\/2 (c) 0 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63607 - 43921. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 16 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.24 - 15.34. What is the nearest to 0 in -14, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 - 250 + 82 + 88 - 5347*j to the form s*j + n and give s.\nAnswer: -5347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12339765 by -9285.\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - ((sqrt(833) - (4*sqrt(833) + sqrt(833))) + sqrt(833))) + sqrt(833) + sqrt(833) + 1)**2.\nAnswer: 84*sqrt(17) + 29989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271920 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 341187902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**3 + 17*p**3 - 31*p**3 + 55*p**2 to x*p**2 + b*p**3 + g*p + o and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -27.9518.\nAnswer: 27.9518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c**3 + c**2 - 8 + 5*c**2 - 5*c**3 + 28*c**3 - 10*c**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 33*p**2 - 2*p - 43. Let d(x) = -2*x**2 - 28*x + 31. Let i be d(-16). What is the remainder when 85 is divided by o(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) -0.1 (c) 4\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -361467 divided by 6\nAnswer: -120489\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890 = 9*n - 1495. Suppose u - 4*r = -r + 149, -2*u + n = 5*r. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48f (base 16) to base 10\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5324*k - 7370 + 7370 to a + z*k and give z.\nAnswer: 5324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017992 rounded to five dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3542\/9 - -35951\/90. Let v = 11\/2 - d. Let r(s) = s**2 + 7*s - 5. Let x be r(-7). Which is the biggest value? (a) v (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 2. What is the remainder when k(10) is divided by (68 + 4)\/(-24)*(-34)\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(6 - (2 + -3)). Suppose -i*d + 2*d + 10 = 0. Let a(z) = 2*z - 2. What is a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 19. Let j = -45 + 140. Suppose -33*x = -532 - j. Calculate the remainder when v is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6623577.\nAnswer: 3, 735953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267 and 6803605?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7503.385 centuries to decades.\nAnswer: 75033.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28315 + 28317. Suppose 2*t = 5*q - 60, -4*q + 2*t + 22 = -26. Solve -q = -o*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 4. Let l be ((-5)\/10)\/(s\/24). Find the second derivative of 3*h + h**3 - l*h + 4*h wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 4*j - 16, -3*j + 5*i = -32. Suppose 0 = -11*w - j*w + 405. Solve 5*x - 2*z - 23 = 0, -2*z + w = 3*x + 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/35*35\/(-21)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:24 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3124*a**2 + 5*a - 4. Let v = 4 + 0. Let t be i(v). What is t rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121.9 + -128. Let h = k + 6. Which is the third biggest value? (a) -0.2 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*z = z - 83, d - 26 = -2*z. Calculate the highest common divisor of 1792 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78306 and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 272 (b) -0.06 (c) 2 (d) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let q = -216 - -218. Let b(y) = -5*y**2 + y**2 + q*y**2 + 12 - 5. Calculate i(b(x)).\nAnswer: -2*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -422900 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 44\/3*(-303)\/(-404)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -404 - -16161\/40. Let y(z) be the third derivative of 6*z**2 + 0 - 1\/12*z**4 - 1\/12*z**3 + 0*z - o*z**5. Determine r so that y(r) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -25 - (-14 + 1) - (-4 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -7*v**4\/4 - 33*v**2\/2 + 4. What is the second derivative of u(m) wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -8, -37, -110, -245, -460, -773, -1202?\n\"Answer: -3*s**3 + 5*s**2 + 3*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w\/w**(-5))))**(-5\/6) assuming w is positive.\nAnswer: w**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 17, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m - 2337 + 192*m**4 - 1198 + 5774 wrt m.\nAnswer: 768*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2111, -153, 618?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 3*d**8\/7 + 29*d**4\/12 + 29*d. Find the third derivative of k(y) wrt y.\nAnswer: 2880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6726465432 to the power of 1\/2, to the nearest integer?\nAnswer: 82015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 20. What is the nearest to g in -4, -2\/13, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-32))\/((-1)\/(-4)). Suppose -y*x + 1 = -5*c - 34, -3*c = x - 7. Suppose 3*m + 10*m + 3*m = 0. Solve g = -2*i + i - 2, m = i - 5*g - x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39976040*m + 125800916.\nAnswer: 39976040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432927094.\nAnswer: 2, 191, 1133317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*g - 26, -4*s + 5*g = g - 36. Suppose 0 = -3*l + 3*p + 6, -s*l = -p - 6 - 5. Let m = 117 + -115. Solve l*b + b = -4*d, 5*b + m*d = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001241540869 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 20 - 2 = -2*d - 0*m - 0, 0 = 1015*d + 4*m - 5103 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h - 3. Let i be n(0). Suppose -f = -3*o - 4*f, 3*f = 4*o - 7. Let u = o - i. Solve 3*q + 4*v = 0, -2*q - u*v = -3*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 51*n**2 - 50*n**2 - 14 + 4*n - 13*n. Determine m(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 41818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**8\/30240 - y**7\/1260 - y**6\/120 - 13*y**5\/60 + 27*y**2. Let p(f) be the third derivative of c(f). Factor p(r).\nAnswer: -2*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 - 0.13. Let g = -0.09 - p. Let f = 216 + -220. What is the closest to -1 in g, f, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 6*v**2 - 2*v - 12. Let w be y(-6). Suppose 3*p - p + 6 = 0, w = 2*h + 3*p - 20885. Let a = h + -7254. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216307633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfff. Give prob of sequence ffn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123288 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x**2 - 2)*(0 + 3 + 1)*(38 - 8*x - 38) + (5 - 5 - 4)*(0*x**3 + 3*x**3 - x**3).\nAnswer: -72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-20)\/21))\/((-42)\/(-112))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5316*d**3 + d**2 - 556*d**3 - d**2.\nAnswer: -5872*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, 309, 1775, 4627, 9327, 16337, 26119, 39135?\nAnswer: 55847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*q + 2*q. What is the hundreds digit of (-10)\/(-25) - (-17)\/q - -545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y + 4. Let n(l) = -4*l**2 + 5*l - 5. Let v(f) = -7*f**2 + 7*f - 7. Let x(j) = 7*n(j) - 5*v(j). Calculate x(p(c)).\nAnswer: 343*c**2 - 392*c + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 24*m - 3. Let l be h(4). Suppose 21 = -3*c + l. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5613 * -20.\nAnswer: 112260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 116345 divided by 1\nAnswer: 116345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - n - 4 - 4*n)*(4 - 3 + 8*n**2 + 0*n**2).\nAnswer: 8*n**3 - 32*n**2 + n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 0*v**2 + 0*v**2 + (-5*v + 3*v + 3*v)*(-3*v + v + v) + 448*v**2 - 1 - 478*v**2 + 13 as c*v**2 + k*v + g and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -6 + ((-44)\/6)\/(-2). Let i = -0.26 - 0.14. What is the closest to -0.2 in s, 0.03, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m, -3*x + 5*m = -x + 1. Let r be 2\/x*12\/(-16). Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.883 - -0.137. Let q = -0.02 + j. Which is the third smallest value? (a) 3\/8 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7180815276 to the power of 1\/2, to the nearest integer?\nAnswer: 84740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -5*d + 274. Suppose 2*g = -3*z + d, 5*g = 2*z - 4*z + 263. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981473 is divided by 435?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -19 - ((-4)\/14 + (-11942)\/(-980))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(1377) - sqrt(1377))*3*2 + -2.\nAnswer: -2 + 972*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*c + 420, 5*c - 4*m = -2*m - 684. Let t = -132 - c. Suppose 2*z - 5*i = 9, -4*i - t = -z - 0*z. Solve -3*p + 15 = z*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1257 * 0.1\nAnswer: -0.01257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 40. Let p(u) = u**2 + 16*u**2 + 267*u + 170*u - 437*u. What is g(p(r))?\nAnswer: 17*r**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1803 + -72?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**40)**24\/(x**(2\/21)*x\/(x**(1\/4)\/x))**(-11\/5) assuming x is positive.\nAnswer: x**(341\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*p - 13136 = y, 2*p = -10. Let t be y\/(-55) + 2\/10. What is the greatest common factor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103076 and 45552.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2. Let u(b) = 5934*b. Determine c(u(p)).\nAnswer: 140849424*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018236 to four dps.\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -69+-0.1\nAnswer: -69.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*j + 645*j + 651*j - 3202*j + 648*j + 662*j.\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((594\/(-220))\/(-3))\/(24\/10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3 - ((-64)\/(-6))\/2. Let m be ((-340)\/102)\/(j\/6). Let f be 4\/(-14) + (-564)\/(-14). Calculate the highest common divisor of f and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 33. Let p be 207\/102 + (-4)\/d. Is 0 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1202 - 10816\/9. Which is the nearest to v? (a) -5 (b) -11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10946 is divided by 295.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-117))\/2*4\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 3*c**2 + 0*c**2)*(-10 + 3 - 9) in the form h*c + v + k*c**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1024 divided by 1\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/5 - 116*b**4\/5 + 5156*b**3\/5 - 109162*b**2\/5 + 1094283*b\/5 - 4153842\/5 = 0.\nAnswer: 11, 14, 27, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -24, -23?\n\"Answer: a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767*a + 762*a - 2284*a + 761*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 49*x - 74. What is the hundreds digit of d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67\/((-2010)\/40) - (-5)\/(-6)*14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 2*b - 70 = 10*x, 2*x - 5*b = -x - x - 61 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-64))\/((-396)\/48576*-46)*16\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let d(k) be the second derivative of 0*k**3 - 1\/12*k**4 + 3*k + 0 + 0*k**2. Determine d(v(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(18\/(-8)))\/(5\/1). Let j = -37\/30 - t. What is the nearest to j in 4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1817083.08 - 1816984.079903. Let j = 99 - n. What is j rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-2)\/3)*(-1050)\/28. Let m be ((-20)\/j)\/(2\/(-10)) - 2. What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2 + (2 + 1 - 2)*(1 - 3 + 0))*(-9 + 3*m + 9).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28512 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 4*x + 3*x)*(101*x - 125*x - 300*x**2 + 396*x**2) to q*x**2 + f*x**3 + r*x + k and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(84)*1)\/((1*sqrt(96))\/sqrt(8)) - ((sqrt(1575)*1 - sqrt(63))\/(sqrt(9) + (sqrt(9) - -5*sqrt(9)*-2) + sqrt(9)))**2.\nAnswer: -4*sqrt(7) - 16\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*j - 17*j - 105. Suppose 26*k - 880 = j*k. Does 44 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + 0.54. Let z = -0.73 - -1.23. Which is the smallest value? (a) j (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104011)\/(-1551) - -5) + (-2 - (-384)\/198)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21792 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-3)*v)\/v**6)\/(v**0)**(2\/79))**13 assuming v is positive.\nAnswer: v**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 1344.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-2))\/((-63)\/644)*192\/160\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 2, b: 4}. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3382 and 3401?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**7\/(i**(-2\/3)*i**(-6)) assuming i is positive.\nAnswer: i**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -3*y, -4*n - 5*y - 265822 = -265929 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g + 5*y + 35 = 0, 5*y + 14 = 2*g. Let o be 2 - 0 - (g - -3). Suppose -o = -5*n + 18. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 243, -1899, -1 in decreasing order.\nAnswer: 243, -1, -36, -1899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -12*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 148 - r - r**2 + 163 - 6*r - 297 - 5*r. Give g(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14081829.5671756 - 0.4.\nAnswer: 14081829.1671756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 506143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/6)\/((-10)\/(-4)). Find o such that 0 + p*o**2 - 2\/3*o = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30107 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**2\/2 + 1. Let y(t) be the second derivative of 7*t**4\/12 + 447*t. Determine y(r(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 65 (b) -4 (c) -2 (d) -0.4 (e) 480 (f) -0.375\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:51 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425))**2*-6 + 2.\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/28*2\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:11 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 3*d. Let w(x) = 5*x**2 + 20*x. Let l(n) = 20*m(n) + 3*w(n). Let g be -1 + 1 + 2 - 2. Let i(z) = -2*z**2 + 2 - 2 + g. Give i(l(h)).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 47*j**5\/60 + 234*j**2. Let p(k) = 5*k. Give d(p(i)).\nAnswer: 1175*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -334 + 269 - 24*i - 2*i. Let r(b) = 13*b + 32. Let f(u) = -11*r(u) - 6*s(u). Find the first derivative of f(o) wrt o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4490 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*p + 2, -2*p + 6*p + t + 14 = 0. Let y be 1\/(1\/6) + p. Suppose -2*q = -y*q + 64. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4860012 + -0.486. Round l to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*t + 188, -2*t + 3*d = -40 - 26. What is i in -364*i**3 + t*i + 366*i**3 - 16 - 12*i**2 - 12*i = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.92*0.129.\nAnswer: -2.56968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3 + 16441*a**2*d**3 - 2*a**2 - a*d**3 + 2*a*d - 696*d**3 wrt a?\nAnswer: 6*a + 32882*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - t = -5*t - 18, 3*u + 1 = -t. Which is greater: u or 34\/19?\nAnswer: 34\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9453 - 9451. What is the second biggest value in -2\/11, 0.11, p, -3\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b (base 16) to base 11.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - 7*c. Let k(z) = -20*z**2 + 20*z. Let u = -6 - 0. Calculate u*k(p) - 17*x(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8763*v**3 + 315*v**2 + 10*v + 161449742 wrt v.\nAnswer: 26289*v**2 + 630*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2703, -5593, -8649, -11871, -15259, -18813?\n\"Answer: -83*b**2 - 2641*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1761311 (base 9) to base 7\nAnswer: -11242051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 5*r + 4. Let h be g(-5). Solve -o + 10 = h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g - 468. Suppose 3*y - 6*y = -g. Let q = y + -23. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.255709.\nAnswer: -1.255709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/15*220\/(-8) and 103\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 28 = 17*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -3*d, -z = 5*d - d - 18. Let t be 16\/6 + (-1)\/(-3). Let j(s) = s + t*s + 0*s - 9. Let b(q) = q - 2. Determine z*j(x) - 9*b(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857787, -3431183, -7720175, -13724763?\nAnswer: -21444947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**24\/u**(-1\/15) assuming u is positive.\nAnswer: u**(361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9280673 years in decades?\nAnswer: 0.09280673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*j - 488 - 534 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/6 - 6200*o**3\/3 - 2157100*o**2 - 2343728000*o\/3 - 285936185000\/3.\nAnswer: -(o + 370)**3*(o + 11290)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/8 - 187*i**4\/4 - 13103*i**3\/8 - 6365*i**2\/4 = 0.\nAnswer: -335, -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 6:09 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91\/4 + 45\/2. Which is the nearest to z? (a) 1\/8 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 6*k - 1. Let j(o) = 14*o**2 + 13*o - 6. Let z(l) = -j(l) + 2*u(l). Let r(s) = 5*s**2 + s - 2. What is 5*r(i) + 3*z(i)?\nAnswer: -5*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/612)\/((-78)\/442).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b)\/b*b)**(-2\/49)*(b**1)**(-2\/45)*b**(2\/23)*b*b*b**(-4)*b**(-3\/5)\/b*b*b**(2\/7) assuming b is positive.\nAnswer: b**(-816841\/355005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**3\/3 - 5*p**2 + 5*p - 5. Let v be o(-5). Let f = -27 - -24. Put v, -5, f in decreasing order.\nAnswer: v, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-5) - (3 + (-34856)\/40) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-13))\/(15\/10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329402 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*l + r, 4410*l - r = 4405*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-14)\/(-224))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmqi when four letters picked without replacement from qiimmmmqiqimiiq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -599.56586 to the nearest integer.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3, 0.5, 54.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -50*y**2 - 31*y - 170. Let h(c) = -26*c**2 - 18*c - 85. Determine -4*d(z) + 7*h(z).\nAnswer: 18*z**2 - 2*z + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + sqrt(539) + 0)**2 - (sqrt(539)*2 + -5)) + 2*(sqrt(539) + 1)**2*-2 + -2.\nAnswer: -1614 - 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 + 2*j - 3. Suppose -5*d - 34 = -2*q - 5, 0 = -5*q + 10. Is g(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 104*g - 147. Calculate h(3).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198, 161, 38, -213, -634, -1267, -2154, -3337?\n\"Answer: -7*y**3 - y**2 + 15*y + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let h(g) be the third derivative of g**5\/30 - 14*g**2 + 2. What is t(h(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9799942 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3271?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/11352*(-1133)\/(-309).\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 68905631843 and -37.\nAnswer: 68905631806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, -1\/4, -17, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 times 1.5646?\nAnswer: -1178.1438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*k + 5*k - 32, k - q - 9 = 0. Suppose -2*l + k*l = 20. Is 2*1109 - (l - 13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8600 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -0.04, -2, 2\/11, -24, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16) + (-43795)\/(-28). Suppose -h + 4*z = -4*h - 4659, -2*h = -z + 3117. Let c = h + p. What is the common denominator of -10\/7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 0 + (204 - 218) - -3 - -8.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24874 bigger than 24868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*i**3*v - 465420*i**3 + 19285*i**2*v + 2*i*v - 611*i wrt i?\nAnswer: -132*v - 2792520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 3 - 5 + 1 - 4*p. Is c(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n + 53. Is 4 a factor of l(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:25 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.53636 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 4\/(-2) - 1. Let o(t) = -3 + 3 - 6*t**h + 0*t**2. Let r(x) = -2*x**2. Give r(o(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -297.4, -1\/5, 2537.3, -5 in increasing order.\nAnswer: -297.4, -5, -1\/5, 0.4, 2537.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n**3 + 1274*n**2 + 52*n - 3323889.\nAnswer: -15*n**2 + 2548*n + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*-129401.24\nAnswer: -776407.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5950 and 589050?\nAnswer: 589050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027 - -465.\nAnswer: 464.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*u**3 - 20*u + 20*u.\nAnswer: -204*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-30))\/((-37)\/(-185)))\/((-5)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -21, -52, -101, -174, -277?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-11)*166\/(-581). Which is the nearest to -0.23? (a) -0.3 (b) 0.1 (c) x (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Suppose 0 = 3*w + 2*w + k. What is the units digit of 1*w*(2 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/4 + 23*o**3 - 443*o**2\/4 + 175*o - 87 = 0.\nAnswer: 1, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5695 is divided by 209.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(99\/(-81))*36\/(-189)*-7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 - 3*g + 3. Give o(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmso when four letters picked without replacement from osmommsmoommooo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = 4*y, -5*p + 1990 - 1970 = 5*y. Let f(g) be the third derivative of g**6\/120 + g**5\/60 + g**4\/12 - g**2. Give f(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5668 + 5667.8. Let j = 2.4 - -1.6. What is the nearest to u in 1\/3, -1.3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*f = 2*f + 417, 405 = -a + 4*f. Let d = a - -729. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 5. Let z be i(0). Suppose -z*h - p = p - 162, 4*h = p + 127. What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/2*21\/(-9). Solve -3*s = 4*g + 7 - 2, g - z = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9))\/((-4)\/(-24)). Find the second derivative of -r**2 + 4*r - 4*r**2 + r**g - 5*r wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 73104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 3\/7 (b) -2 (c) -3 (d) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.734 - -0.004. Let k = l - -0.729951. Round k to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14242 - -4397. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7945 divided by -1589\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x - 9. Let m(y) = -y**2 - 2*y + 3. Let n be m(0). Determine f, given that -f**2 + x*f**2 - f**2 + 4*f - n*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306*d**3*u**2 + 93*d**3*u - d**3 + 3*d**2*u**2 + 2*d**2*u + 4*d**2 + 1930*d*u**2 - d*u - 2*u**2 + 248*u wrt u?\nAnswer: 612*d**3 + 6*d**2 + 3860*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1354749 or -1354827?\nAnswer: -1354827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3 + 97212*j**2 - 194436*j + 97220 = 0?\nAnswer: -24305, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 2*h - 1. Let i be w(2). Sort -2, i, 3 in increasing order.\nAnswer: i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 + 40*o - 35. Let j(p) = 3*p**2 - 20*p + 19. Calculate 13*j(a) + 7*m(a).\nAnswer: -3*a**2 + 20*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -24, -36, -48, -60?\n\"Answer: -12*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 - (0 + (-1112)\/104).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41150*q**3 - q**2 + 19949 wrt q.\nAnswer: -123450*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 419 + -436 + -18 + (3 - 4)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 3518092528?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**4 - 290654*c**2 + 290666*c**2 - 2 - 1 in the form y*c + j*c**2 + o*c**4 + w + g*c**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80214135.\nAnswer: 3, 5, 43, 124363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1 + -13 + 20. Solve 3*s + 6 = q*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1628297 + -1628300.200061. Let z = -74.2 - -71. Let n = z - t. What is n rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18 + ((-9)\/4)\/(61\/244). Let k(g) = -g**2 + 10*g - 17. Give k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 2\/5 (b) -4 (c) 4 (d) -22 (e) 46\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 586. What is the tens digit of f(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5323 + 5322.1. Which is the third smallest value? (a) -0.3 (b) -4\/7 (c) -1\/2 (d) r (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.2 + -10.2. Which is the biggest value? (a) -0.9 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -93, -101, -123, -165?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1577.6184 + -2399.\nAnswer: -821.3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.75 - -61.95. Let s = k - 60.1569. What is s rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, y: 2, v: 3, b: 4}. What is prob of sequence vv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -95, -275, -539, -893, -1343, -1895?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = 0. Let q = 1 - p. Solve q = -5*n - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41553 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2551083 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*i**2 + 138*i + 50624.\nAnswer: -130*i + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 4. Let q(p) = 2*p + 3. Determine 6*q(s) - 5*r(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 - 4.25. What is the closest to -0.1 in w, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*w**3 - 12560372 + 12560372.\nAnswer: -85*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.55 to the nearest integer.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*3*(-1323)\/882.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 + 2*g. Let l(q) = 9*q**2 - 4*q + 320. Give -l(d) - 2*x(d).\nAnswer: -d**2 - 320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + u + 3. Let d(r) = -r - 1. Let l(w) = 3*d(w) + v(w). What is o in l(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 + 3*o - 440. Let q(k) = -98*k + 32*k + 38*k + 29*k. What is m(q(f))?\nAnswer: 6*f**2 + 3*f - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 - 4*f - 29. Determine q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2\/8 + 13455*z\/8 + 47019\/4 = 0. Calculate z.\nAnswer: -4478, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15904 + -6177. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**3 - n**2 + 3*n - 2. Let f(l) = -10*l + 2*l + 2 + 6*l + l**2 - 11*l**3. Let j(h) = -6*f(h) - 5*p(h). What is j(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 290*i - 293*i + 5, 5*m = 2*i - 15. What is the second biggest value in 16.9, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/4 + 3*j**4\/8 + 21*j**3\/8 - 21*j**2\/8 - 3*j\/8 + 3\/4 = 0. Calculate j.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 20*f + 15. What is r(-16)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f + 41 - 9*f - 12*f + 16*f. Suppose 0 = 2*x + 4*u - 230, 164 = 4*x - 3*u - 241. What is the remainder when x is divided by v(-1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89537*h*n**5 - h*n**2 - 65270*h - n**4 + 4*n**3 - 20*n**2 + 1 wrt n?\nAnswer: 5372220*h*n**2 - 24*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*y + 4*v, 25 = -2*y - 322*v + 327*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2.04.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-20 - -1) - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789773307?\nAnswer: 3, 263257769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*r + 1451, 4*r = -0*r + 16. Let j = -1444\/3 - h. What is the closest to j in 0.1, -10\/7, -1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 25*h - 147. Let m be a(-15). Let 20*q**m + 1 + 52*q - 5 + 626*q**2 + 40*q**3 - 283*q**2 - 227*q**2 = 0. What is q?\nAnswer: -1, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.4. Let f = -0.596 - l. Round f to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -1007*y**4\/24 + 719*y**3\/6 + 663*y**2. Differentiate x(c) wrt c.\nAnswer: -1007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 4. Let y be (4\/(-7))\/(18\/(-630)). Suppose g - y = -3*a, 9*a - 5*a = 16. What is the lowest common multiple of o(5) and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 11240467.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 14*x - 418. Suppose 4*c + 2*s - 836 = 6*s, 0 = -2*c - 5*s + x. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/1*(1 - (-12)\/6). Let v(p) = 7 - t*p + 79*p + p**2 - 37*p - 2. Determine v(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64, -123, -182?\n\"Answer: -59*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(300) + -2 + sqrt(300) + sqrt(300) - (sqrt(3) - (sqrt(3) + sqrt(192)))**2*-1) + -1 + 0)*-3.\nAnswer: -567 - 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 2*r - 1. Let i be s(-1). What is the second derivative of -21*o + i*o**2 + 3*o**5 + 19*o + 0*o**2 wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63184218 is divided by 1344345.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 155, -0.5, -2\/19, 3, -3, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1) + (261 - 246).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-35))\/((-20)\/(-70)))\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13 = -2. Solve -4*s + 1 = -3*k, -4*s - c*k = -2*k - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t - 80*t = 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1 + 2)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -58. What is the tens digit of (-1344)\/g + (-8)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50538 - 31626. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445749899790 + -0.042.\nAnswer: -445749899790.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.2397 - -0.0603. Let w = r + -38. Is w equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 6 - 17428*b + 12 - 19.\nAnswer: -17428*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d - 120. What is u(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/281 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*v - 4*v - 5 = 0, 4*v + 11 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116400 or 118793?\nAnswer: 116400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -18*a**2 + 4*a - 4. Let y(m) = -91*m**2 + 22*m - 21. What is 4*y(k) - 22*z(k)?\nAnswer: 32*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514215 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: Round 0.0046325655 to 5 decimal places.\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 - 5*v**2 - 4*v + 1. Let r be p(3). Calculate the greatest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:34 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 9*s**2 - s - 10. Let p be a(-9). Is (1*p)\/(12\/(-3804)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 175. Sort 5, q, 1, 3.\nAnswer: q, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251054035 (base 6) to base 2.\nAnswer: -10010010111000010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65263753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(1573) + sqrt(1573)*-1 - (sqrt(1573) - (4 + (sqrt(1573) - (sqrt(1573) + 1))))))**2.\nAnswer: -176*sqrt(13) + 1637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elm when three letters picked without replacement from sekml.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 2, c: 5, m: 8, h: 1}. Give prob of sequence hfm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 219 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -i*j = -3*j + 5. Let s(m) = -5*m + 95. Let t be s(11). What is the highest common divisor of t and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-11)\/((-44)\/16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41015 - 25215. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32194, 31000, 29804, 28606, 27406, 26204, 25000?\nAnswer: 23794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 20. Let w = 1\/5 - -1\/20. Which is the closest to w? (a) -2\/7 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 4*y - 3*i, 10*y - 40*y - 5*i = 137 + 448 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asosssmumuaumaussuos. What is prob of picking 1 o and 3 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*n - 4 = 203*n - 2*z, -3*n = -2*z - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/30 + 7*u**5\/60 + 11*u**2. Find the third derivative of v(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96503351 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239.5 - 120.6. Let n = a - 8.9. Let s = n + -110.272. Round s to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*t**2 + 1560428*t + 1200360 = 0. What is t?\nAnswer: -10\/13, 30009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 2447756.\nAnswer: 2447755.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.777165km?\nAnswer: 9777.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Let z be 4 - (n - (2 + 2)). Is z greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*g, -5*w = -2*g + 12 - 1. Let y = -5 - -3. Is y > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 32 + 7 + u + 11*u with respect to u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**4*l - i**4 - 97*i**3*l*v**3 + 2*i**2*l*v**3 + 252*i**2*l*v**2 - 2*l wrt i.\nAnswer: 96*i*l - 24*i - 582*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21503090 by 614374.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (0 + -3) - (22 + 27 + -39)) + -22\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -149\/3. What is the closest to k in 3, -2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 48*t**2 - 148*t + 100. Give q(51).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 19*u**4 + 5*u**3 - 16*u. Let s(y) = 19*y**4 + 6*y**3 - 17*y. Let l(d) = 6*k(d) - 5*s(d). What is the second derivative of l(w) wrt w?\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4828 - 3.5828. Let y = -165.92 + 169. Let l = y - 0.08. Which is the closest to -0.1? (a) 4\/5 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4257)\/(-66))\/(-43))\/(147\/350)?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 6. Suppose k*n - a - 164 = 4*n, -2*n - 3*a + 52 = 0. Let q = -18 + n. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + (7 - 6)) - -18 - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.004, -2, -1\/29?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 = 21*n - 16*n. Let t = -147 + n. Calculate the remainder when 121 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194978 is divided by 1425.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.9 - 9. Let f = 7 - 11. Let s be (7 + f)\/((-9)\/(-2)). Which is the nearest to x? (a) 1\/3 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3795 + -881?\nAnswer: -4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6806 - 1.68053207. Round w to 6 dps.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2\/5 + 2289*b\/5 - 4566\/5 = 0 for b.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160930.145 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*l + 21, 5*l + 0*f = -5*f + 35. Calculate the smallest common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -45\/4 (b) 0.3 (c) 0.109 (d) 4 (e) 11 (f) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5224*f**3*o**3*v**3 + 3*f**3*o**3 - 19*f**2*o**2*v**3 - 140*f**2*o**2*v**2 - 5*f*o**3*v**2 wrt f?\nAnswer: 31344*o**3*v**3 + 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 57, 134, 251, 414?\n\"Answer: i**3 + 11*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, 29 in decreasing order.\nAnswer: 29, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 37\/4*m + 11\/2*m**2 - 15 + 1\/4*m**3 = 0.\nAnswer: -20, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.303 (b) -0.001521 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 6*p - 3. Let y be v(-7). Let o(g) = 2*g - 4. Let q be o(y). Let f = -6 + 13. Solve 2*w + x - f = 0, 3*w - q*x = -12 - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -358*o**2 - 358*o**2 + 720*o**2. Let a(r) = 0*r + 2*r**2 + 0*r. Calculate a(s(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + t + 1 = 0, 0 = -3*i + 3*t + 7 - 4. Suppose -12 = -3*v - 3*q, i*q = 2*v - 5*q - 1. Is 3 != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-36))\/8*(-63)\/(-56)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 0.11, 1, -13472, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 1\/21, -1\/2, 8, 28\/5?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-2)\/1 - -5. Suppose p*v + 1 = l, -4*l - 2 = -3*l. What is the least common multiple of (v\/(-3))\/((-3)\/(-18)) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 3, -5*p + 2*t + 16 = 0. Let o(b) = -b - 3. Let q be o(-7). Suppose -716 = -p*v - q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 95*d - 410. Let u be g(12). Let n = 3 + 3. Let o be n\/((4\/10)\/1). Calculate the highest common divisor of o and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 227*l**2 + 1128*l + 9. Calculate the lowest common multiple of 8 and s(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 231 - 160*q + 72*q + 75*q. Is j(16) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092239 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m - 4*j = 353, 4*m - 4*j = 280. List the prime factors of m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a*a**3*a)**(-34)\/((a**(1\/2))**(-8)*((a**(2\/13)*a)\/a)\/(a\/(a*a**(1\/3)*a))) assuming a is positive.\nAnswer: a**(-36638\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 0*n - 72457*n**5 + 69762*n**5 + 4*n**5 - 3*n**5 - 2*n**5 + n**3 - n**3 + 2*n**5 + 2*n**5 + 3 - 3 + (-2*n**2 - n**3 + 2*n**2)*(0*n + 0*n - 2*n**2).\nAnswer: -2690*n**5 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 372066476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249 + 488. List the prime factors of u.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64438 greater than -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -5 (b) -4 (c) 1\/18 (d) 13 (e) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*b**5 + 591*b**4 - 153*b**3 - 1809*b**2 - 885*b + 198 = 0. What is b?\nAnswer: -33, -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1502*u - 162*u**2 - 403*u**2 + 1500*u)*(-43*u**2 - 53*u**2 + 82*u**2) + 0*u**4 + 3*u**4 + 0*u**4 to v + a*u**3 + l*u**4 + n*u**2 + g*u and give l.\nAnswer: 7913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24882 and 10359.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 587634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2375 - -2376. Which is the nearest to 3? (a) -2\/17 (b) -2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6656 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 155, 0.3, -5, -0.03, 1\/5?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + 2. Let f(o) = -16*o + 6. Suppose 10 = -4*j - 10, 0 = 4*m + 2*j + 42. Let d(x) = -x**2 - 8*x - 2. Let p be d(m). Give p*f(h) + 7*g(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 493350, 492148, 490948, 489750, 488554?\n\"Answer: z**2 - 1205*z + 494554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 - -23. Let w be (1\/2)\/((-11)\/u). Suppose y - w = -2*c, -4*c + 4*y = 3 - 23. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 < 14277862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:09 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -9653?\nAnswer: -9653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 44, 0 in decreasing order.\nAnswer: 44, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-2 - (12 - ((-8 - -11) + 1))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s. Let z be (3 - -3) + (-1 - -4). Put 4, s, z in decreasing order.\nAnswer: z, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.40103772 - -2.00103729. Let z = 0.18 - -0.42. Let q = z - f. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + x = -13, 3*c - 11 = -0*c + 2*x. Calculate the remainder when (c*44\/80)\/(2\/64) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 2722 + 4730 - 1221 + 4*z.\nAnswer: -z + 6231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*j**3 + 39*j**3 - 11*j**2 + 58*j**3 - j - 1 - 41*j**3 to u*j**3 + v*j**2 + m*j + c and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/36 + (-2)\/(-9). Let u be 22\/6 - (-1)\/x. Suppose 24 - u = 4*a. Solve -a*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4803*0.4\nAnswer: -1921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/3)\/(14\/21). Calculate the highest common divisor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*c + 50*c - 368*c - 6*c - 181*c.\nAnswer: -636*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3267791 + 5521571. What is f rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3501 divided by -123.\nAnswer: 1167\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*4*2\/(-18)*(-807)\/(-6994)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c + 75*c - 2332 = 0. Solve -5*n - c = -96 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25*k + 3. Let b be n(1). Suppose 5*w + 2*a = 6*a + b, 4*a = 4*w - 24. Suppose 664 = 4*h + w*h. What is the remainder when h is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.776 + 0.3?\nAnswer: -159.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let q(w) = 2*w + 1048. Determine q(h(k)).\nAnswer: -4*k + 1048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2676 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -165840 (base 9) in base 11?\nAnswer: -70214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*v = 1024*v - 42 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (34\/6)\/(1\/6). Let r be ((-10)\/(-4))\/(1\/s). Let h = 596\/7 - r. Sort -2, 2, h.\nAnswer: -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3326962*b - 4152. Let h be c(4). What is h rounded to the nearest one hundred thousand?\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.2 - -26. Let d = 57 + l. Let a = 53 - d. What is a rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9650 (base 10) in base 13?\nAnswer: -4514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, -23, -78, -175, -326, -543?\n\"Answer: -2*h**3 - 3*h**2 - 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 75*t**3 + 280*t**2.\nAnswer: 5*t**2*(t + 7)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1681, -1665, -1691, -1759?\n\"Answer: -21*w**2 + 79*w - 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.1 - 2.9. Let l = f + 17. What is the nearest to -2\/7 in l, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(3*d**4 - 3*d**4 - 2*d**4 - 5*d).\nAnswer: 2*d**4 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1380 + 50 = 2*o, d - 5*o = 266. What is the highest common divisor of 42 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 36, 127, 306, 603, 1048, 1671, 2502?\nAnswer: 3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -4*y**4\/3 - 49*y**3\/6 + 2*y**2 + 15*y. Is o(-18) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 + 8*j + 1. Let x(w) = -20*w**2 - 23*w - 7. Let z(a) = 20*a**2 + 23*a + 6. Let k(r) = 3*x(r) + 4*z(r). Give -17*d(p) + 6*k(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -1, 5, -3, -252?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 0.2, -23, 322, 2 in ascending order.\nAnswer: -23, -4, 0, 0.2, 2, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -24.2. Let w = 6 - -9. Let y = j - w. Which is the third smallest value? (a) 4 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 156 = -3*l. Find the third derivative of 4*n**5 - l*n**5 + 2*n**3 - 5*n - 4*n + 3*n**2 - 13*n wrt n.\nAnswer: -480*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(39\/2) - 287\/(-91). Let t = 1 - r. Let d(q) = -q**2 + 2*q + 2. Give d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + r - 8*r + 6. What is the tens digit of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 8*x**2 - 4*x + 24. Let o be m(-8). Let c be 140\/(-65) + 2 - o\/(-26). Solve -4*k = -k - 15, -c*k + 2 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1778, 1819, 1862, 1907, 1954, 2003?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 8*k - 3. Determine x(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.51999 months?\nAnswer: 0.0005433325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd - 41?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - s - 133 = 0, r = -0*r + 3*s + 31. Let x = -44 + r. Solve q = x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(-6*k**2 + 4*k**2 + k**2) + (k**2 - 2*k**2 + 3*k**2)*(-1 - 2 + 2)*(-4 - 1 + 3).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + (-26)\/4)\/((-6)\/2732). Find the second derivative of -683 + o + 71*f**2 + 40*f wrt f.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16922953 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**4 - o**2 + o + 30*o**3 + 1 - 30*o**3 to the form n + u*o**3 + w*o**4 + j*o + a*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*-81*(-240)\/4860?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -69*m**3 + 7*m**2 + 2*m + 1238. Let z(q) = 45*q**3 - 5*q**2 - 2*q - 825. Let n(j) = 5*g(j) + 7*z(j). What is the first derivative of n(s) wrt s?\nAnswer: -90*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 46106*u**2. Let y(i) = -2*i. What is k(y(h))?\nAnswer: 184424*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 + 4*s**2 - 65*s + 65*s. Suppose 0*n - 4*n + 16 = 0. Let c(h) = h - n*h + 2*h. Calculate c(u(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/27 - (-6)\/27. Suppose 11 = -3*u + 2*o + 2*o, 3*u - 14 = -o. Suppose 2*p**4 + 2*p**s + 0*p - 3*p + p - 4*p**4 + 2*p**u = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (-5 - 0 - (1 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12830585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 12a?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534402?\nAnswer: 2, 3, 11, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 4*p - 12*p. Let o = 87 + p. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 5*o**2 + 2*o**2)*(2*o - 2*o + o**3 + (-4*o + 2*o + 3*o)*(2*o**2 + 0*o**2 + 0*o**2)).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*((sqrt(931) - 3*sqrt(931)) + sqrt(931) + -5 + sqrt(931) + (-3 + sqrt(931))*5)*3)**2.\nAnswer: -113400*sqrt(19) + 1917675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 - 2*k**5 - k**5 + (81*k**4 - 40*k**4 + 0*k**4)*(-k + 5*k - 5*k).\nAnswer: -40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -129. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 571 and 664073.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12)*1602\/198025)\/(2 + (-7)\/5).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 551, 552, 553, 554, 555?\n\"Answer: s + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6593714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762609*k - 762674*k - 3510 = 0 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12724\/9 or 1414?\nAnswer: 1414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2175 - 6523\/3. Let s = -9 + 4. What is the second biggest value in 1\/5, q, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 38, -37, -0.02, 3, 7.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/12)\/(1276\/(-7656))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10277648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.689 in 0.5, 0.921, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 370 + 366 - 1107 + 371 + 1398*n to the form u*n + m and give u.\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -285924 smaller than 14.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 80 + 217 = 0. Suppose -3*h - o = 4*s, 0 = 6*s - s + 4*h + 123. Let u be 1\/(18\/4) - 318\/s. What is the greatest common factor of u and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54646097 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721259?\nAnswer: 7, 11, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 2 + (5 + 0 - 4)*(-3 + 4 - 3))*(-s + 0 + 0)*(3318 + 150*s**3 - 3318) to the form q*s**2 + l*s**3 + u*s**4 + f*s + r and give u.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -6*v - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -9) + (-3)\/1. Solve s*p + 3 = p - y, 3*p + 5*y + 19 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -169, 4, -24, 3, -46.\nAnswer: -169, -46, -24, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*z = -70, -2*u + 0*u + 4*z + 30 = 0. Suppose -3*f - 3*c + u + 10 = 0, 0 = -5*f + 3*c + 21. Suppose f*w - 8*w = -392. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226450 and 1470.\nAnswer: 4755450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1\/7, -3, 17\/3, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a decade in months?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 2a84439?\nAnswer: 2a84441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 103552648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -70*p. Suppose 2 = -2*q + 3*q. Suppose d - q = 2*x - 7, 5*x + d = 30. Let i be u(x). Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 2, 4, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 209\/38 - (-1)\/(-2). Suppose 2*n = 9 - y. Are n and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530433390514 minus -1.165?\nAnswer: -530433390512.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 171 = o, -3*o + o - 5*i = -306. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*g**3*v*x - g**3*x**2 + 2*g**2*v*x**2 + 3*g*x**2 - 9*v*x**2 wrt g?\nAnswer: -210*v*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n + 14. Suppose 6*d - 40 - 38 = 0. Let c be a(d). Round c to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1421, 5686, 12797, 22754, 35557, 51206, 69701?\nAnswer: 91042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684) + sqrt(684))**2 + -1 + sqrt(684) + -2*sqrt(684)*-1.\nAnswer: 18*sqrt(19) + 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7128\/455 or -29.6?\nAnswer: -7128\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:14 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -396*n - 26. Let q(s) = -130*s - 9. Calculate 17*q(x) - 6*u(x).\nAnswer: 166*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 560, 915, 1360, 1925?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4275 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*x - 6 = 3, -5*w + x - 5 = 0. Let g = w - -4. Find the third derivative of -15*c**3 + 15*c**3 + 2*c**4 + 2*c**g wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/2 - 1) + (-980420)\/(-70030)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-72)*-7*(-9)\/(-336)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - j - 6*j + 473 = 18*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/6 - -119\/30. Which is the closest to 0.4? (a) -1 (b) -1\/3 (c) t (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -66, -32, -16, -24, -62?\n\"Answer: -g**3 + 53*g - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2466)\/(-18819)*(-3)\/(-20). Let b = w + 2\/205. Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/98*301*6\/15*100\/(-40).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 17226?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291596 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/(j*j**(2\/9))*(j\/(j**(5\/2)*j))\/(j*j**7))\/((j**7\/j*j*j)\/((j\/(j\/(j**2\/j)))\/j)*(j**0)**26) assuming j is positive.\nAnswer: j**(-409\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 52. Suppose 2*w + 121 = 3*y, f*w = 5*w + 10. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.2 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -0.4. Let o = 1.8 + y. Which is the closest to -2? (a) 1\/2 (b) -0.06 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 815659 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39484788 and 280.\nAnswer: 394847880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 124. Is l less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 63350.11 micrometers?\nAnswer: 0.06335011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 8, v: 9}. Give prob of picking 3 v and 1 z.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**6\/480 - a**5\/12 - 79*a**4\/96 - 5*a**3\/2 - 3*a**2 + 75*a. Factor j(d).\nAnswer: -(d + 1)*(d + 4)*(d + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.5 (c) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 58030101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54710?\nAnswer: 2, 5, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 3150912?\nAnswer: 22056384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -297 + 2677\/9. Solve g*s + 2\/9 + 2\/9*s**2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {k: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let p(t) = 4*t + 2. Let x(g) = -3*g - 2. Let f(r) = -4*p(r) - 5*x(r). Let m be f(z). Which is greater: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 - 12*r + 52. Let k(y) = -y**2 + 1. Let v(o) = -4*k(o) + x(o). Does 7 divide v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 15*k**2 + k - 11. Let l be (2\/8*-15)\/((-9)\/36). Let i be f(l). Solve -2*g - 8 = 2*u, -4*u - i - 4 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(5 + 1 + 1)*(2 - 6 + 2) + 5 - 2 - 2)*(-97*h**3 - 13*h**3 - 39*h**3).\nAnswer: -2235*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:54 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/42 + (4\/30)\/(-1)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) -181 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 750483037 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*b - 264*b + 65 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 308\/49 - (0 - (-4)\/14). Suppose -332 = -r*y - 122. Suppose 213*i - y = 212*i. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y - 3*y - 2*y. Let d be k(-3). Which is greater: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 8. Let f be x(-7). Let j be f\/(-10) + 3\/5. Suppose 3*i + 2*c = 40, 2*i + j*c = c + 36. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2.6 (c) 2\/5 (d) 3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 6*i + 6. Let c be k(4). Let b be c\/(-12) - (-166)\/12. What is the remainder when 12 is divided by ((-4)\/2)\/((-4)\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*d - 344 + 172 + 174 + 106*d in the form b + h*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4585704 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 50 = -3*u + 2*s, -4*u - 2*s = 64. Let g(j) = 5*j + 4. Let f be g(-4). Is f greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4623 and 899245927.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2123\/34790 + 23\/490. Which is greater: -0.19 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.36166 + 77.30066. Let w = -73 - -149. Let p = w - m. What is p rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, 99, 506, 1145?\n\"Answer: 116*m**2 - 173*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 4623621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384358961 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -786e + -10f6?\nAnswer: -8964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/3)\/(19\/(-855)*-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402688.5 years in millennia?\nAnswer: 402.6885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*u + 3*m, -u - 3*m + 10 = -2*m. Let f be (-28)\/42*48\/(-2). Let q = f - u. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)\/((x\/(x*x**0))\/x)*(x**1*x)**(-45))\/((x\/x**1)**(-4)*(x**(1\/2))**(-3\/22)) assuming x is positive.\nAnswer: x**(-981\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455688515?\nAnswer: 3, 5, 19, 23, 222073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k - 7. Let n be ((-8)\/(-3))\/(2\/(-6)). Let y = 16 - n. Calculate the remainder when y is divided by s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((1 + sqrt(396) - sqrt(396)) + -5)*3*4 + 5)*-6.\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.2*4.\nAnswer: -60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*q = -21, -4*q - 8 = 9*p - 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n + 12. Let c(v) = -6*v**3 - 4*v**2 + v + 3. Let i be c(n). What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + o - 5 = 0, -o + 1 + 4 = -3*n. Solve f + f + 4 = n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 16*v - 1. Let s be a(-8). Suppose -2*g = -0*g. Does 4 divide -1*(g - 7) - s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-24))\/(2\/8*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000686 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(6*d + 2 - 2)*(2*d + 0*d - 3*d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146834230 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3439 = 867*g + 12167 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 2*g - 133. Calculate the remainder when (-15 - -30)*(g\/5 - 0) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474 and 2252764.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:18 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689267?\nAnswer: 689267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.26 - -0.26. Let t = k - -17.8. What is the biggest value in -3\/2, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200243 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80912.52ns to seconds.\nAnswer: 0.00008091252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 139.572211\nAnswer: 55.8288844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 1, j: 1}. What is prob of sequence yiy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 12 = -5*i, -5*i + 11 + 7 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.155*-25742\nAnswer: 3990.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 2. Let b be v(9). Solve -3*z - 3*a = a + 19, -z + b = -2*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -105737, -211472, -317207, -422942, -528677, -634412?\n\"Answer: -105735*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 + (14 - 20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - 331200?\nAnswer: -332013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5695426 is divided by 183722?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = -2*f + 2*l, -4*l - l = -2*f + 577. Suppose 3*h - f - 288 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 - 4*j**4 + 4*j**2 - 2*j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9000301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 813, 941, 1069?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Let v be (1\/(-2))\/(y\/(-592032)). Let u be (-8)\/(-20) + v\/(-20). Round u to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 28*x - 882.\nAnswer: -2*(x + 63)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2972*f**3 + 24689*f**2 - 24689*f**2 - 1408*f**3 + 3218*f**3.\nAnswer: 4782*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 + 48*t**2 + 10*t + 38. Determine h(-16).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((16\/(-6))\/(-8))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/38 and 1\/(63\/(-95)) - (-6)\/12.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**20))\/i*i*i*i**(2\/43)\/i*(i**(4\/5)*i*i*i)**(-5\/3) assuming i is positive.\nAnswer: i**(-3520\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7363, 7377, 7391?\nAnswer: 7405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (39 - 58) - (9 + 5)) + -22.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyo when four letters picked without replacement from nxxxnpyccpxxoxxynxyx.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l - 52*l = 2*d + 575, -2*d - l = 605. Let p = d - -632. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78216 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0 (b) -9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4091698 times 1.1\nAnswer: 0.45008678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 87*l. Let d(o) = 173*o. What is 4*d(u) - 7*s(u)?\nAnswer: 83*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -89670 rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.5686 * 0.0419\nAnswer: -0.10762434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 6*s**2 - 16*s - 8. Is q(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -2*q**3\/3 - 21*q**2 - 18*q. Let s be y(-15). What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/12)*j)\/(j**(-2\/25)\/j))\/((j*j\/j**(2\/5))\/j**(-2\/13)) assuming j is positive.\nAnswer: j**(947\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)**(-2\/63)*(v\/((v\/(v*v*v**(3\/4)*v*v))\/v))\/v*v*v**(2\/11)\/v*(v\/v**(-6)*v\/(v*v**(1\/2)*v))\/(v**0)**(-8) assuming v is positive.\nAnswer: v**(28741\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100 (base 2) to base 5.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 4:05 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 5*y = 34, 0 = -2*y - 10. Let n be (-1)\/9*k + (-1)\/(-3). Solve 4*h = -n*m + 2*m + 8, 2*h - 8 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 + 3827*j**2\/2 + 183479*j\/6 + 149045\/2.\nAnswer: (j + 3)*(j + 13)*(j + 11465)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(272) + sqrt(272)*-2*-2 + -4)**2.\nAnswer: -40*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 0, z = -4*x + 20. Suppose 3*m + 0*w = 3*w - 396, -x*m - 5*w = 630. Calculate the common denominator of 48\/11 and -4 - (m\/(-27) + -4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6801 (base 9) in base 5?\nAnswer: -130043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)\/((-5)\/(-10)). Let a be (2\/(-4))\/1*0. Let s = q + a. Sort -4, s, -3 in descending order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295.8093+285472\nAnswer: 285767.8093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 11*t**3\/6 - t. Let u(z) = -z - 2. Let i = -24 + 14. Let y(n) = -3*n - 5. Let p(a) = i*u(a) + 4*y(a). Calculate p(v(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 + -14 - -29)\/(-1) + 2*2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) -23.326 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -351 + 352. Let a be (21\/(-9))\/(h\/(-3)). What is the second smallest value in -1, 1, a, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 12*s + 19. Let j(l) = l - 2. Determine 2*g(u) + 22*j(u).\nAnswer: -2*u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 51*m = 180. What is the remainder when 59 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12179.776 rounded to the nearest one hundred?\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46516 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.06 (c) 0.3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5262\/14 - (-46)\/322. What is the greatest common divisor of l and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**4\/8 + z**3\/3 - 19*z**2. Let q(w) = 10*w + 7. Calculate -7*b(g) + 2*q(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-3 + sqrt(152)\/sqrt(8)))*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-10)\/(-4))\/(-558 + 557).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(8\/(-2288)*-11). Is g < 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/5)*u\/(u*u\/(u\/(u*u\/(u*u**16)*u)))*u)**(-13\/3) assuming u is positive.\nAnswer: u**(-1027\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -576 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -42*n - 1841. Calculate l(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -51, -64, -77?\n\"Answer: -13*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, c: 3}. Give prob of picking 1 v and 2 c.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s**3 + 3*s**5 + (3 + 0 - 8)*(-17*s + 35*s + 13*s)*(6 - 5*s**4 - 6).\nAnswer: 778*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*((-145)\/(-35) + -4))\/(262\/33929).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 16?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132534.\nAnswer: 2, 3, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a kilometer in meters?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4 + 113*n**3 - 3129*n**2 - 3933*n + 19494 = 0?\nAnswer: -3, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 4*k + 67. Let d be z(10). Solve u = -3*x - 19, -2*u = -0*x - 3*x - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d**2 + 2*d + (0*d + d + d)*(4*d - 6*d - 7*d))*(0*d**3 + 5*d**3 - 4*d**3).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 122020022221?\nAnswer: -122020100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 0 + 0. Suppose -119 = -3*x - 4*x. Let j(t) = -6 - 1 + 7 - x*t**2. Determine v(j(o)).\nAnswer: -578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = 4*d - 0, 5*d + x = -8. Suppose -37*f + 99 = -40*f. Let w be (-2)\/(-6) - 13\/117*f. Sort d, w, 2 in decreasing order.\nAnswer: w, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*((-1*sqrt(70))\/sqrt(10)*2 - (-1 + 6*sqrt(252))) + -5)**2.\nAnswer: 90972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 938 - 4688\/5*b - 2\/5*b**2.\nAnswer: -2*(b - 1)*(b + 2345)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218895 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 0*l**3 + 752732*l**2 - 752732*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.843585 kilometers?\nAnswer: 7843585000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + 5 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Suppose 5*h + 4*g = -15, 21 = -4*h + g - 6*g. Let k(b) = 8*b**2 + 5*b - 4. What is the lowest common multiple of k(h) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*h**2 - 2*h + 52 wrt h.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 34 = 21. Let j(o) be the third derivative of -o**5\/60 - o**4\/2 - o**3\/6 - 2*o**2 + 95*o - 8. Calculate j(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 4985049.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/12200760 and -151\/396.\nAnswer: 12200760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-14 - 9)) + -40.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4770 and 80?\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 24*o - 29*o - 75, b + b - 39 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 1244.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -70 + ((3 - 2) + 2 - (80 - 73)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -109.68045, 1\/4, -0.3.\nAnswer: -109.68045, -0.3, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 2*y. Let s(u) = 3*u**2 + u + 1. Let g(b) = 2*m(b) - 3*s(b). Let l(p) = -1. What is g(d) - 4*l(d)?\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 18404*c**2 + 9204*c**2 + c**3 - 1 + 9201*c**2 in the form o*c**3 + w*c**2 + f*c + r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6285, 4, 0 in descending order.\nAnswer: 4, 0, -3, -6285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 + -538\/3. Let i = 7 - 13\/2. Suppose 16*s - 74*s = 174. What is the closest to -3 in i, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*n = 792, -5*m + 2*m - 5*n = 1180. Round m to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294203291.\nAnswer: 43, 271, 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04391 - -0.01609. Which is the third biggest value? (a) w (b) 2\/3 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 50840.\nAnswer: 152520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 17*y - 134. Let j be k(-23). Determine l so that 0 + l**3 + 0*l + 1\/3*l**j + 2\/3*l**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least as big as 1429150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - u. Let p be w(1). Let v be 33 - (3 + p + 2). Let s = -21 + v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 3*v - v)*(9*v**3 - 8*v**3 + 5*v**3) - 50597*v**4 + 25361*v**4 + 24590*v**4 in the form o*v**3 + n*v + a + g*v**2 + r*v**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 97*w - 101*w. Suppose 0 = -18*u + 13*u + w. Calculate the highest common divisor of u and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25200 by -4.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -591*v + 1452*v + 3527*v - 258892 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52409*x + 105185*x - 50534*x.\nAnswer: 2242*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 2. Let o be z(-2). Let h(q) = q + 4. Let g be h(o). Solve 1 - 5 = -g*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtssshl. Give prob of sequence hs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**5 + 2*l**5 - 4*l**5)*(5 - 4 - 4) + (-l**4 + 2*l**4 - 4*l**4)*(0 + 2*l + 0) - 24*l**5 + 43*l**5 - 25*l**5.\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 391, -185, 5, -4, 0, 8 in ascending order.\nAnswer: -185, -4, 0, 5, 8, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)\/b**(-3\/2))**(-2\/19) assuming b is positive.\nAnswer: b**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 23 + 21*t**2 + 45.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17545 - 0.1792. What is z rounded to four decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*s - 572, -2*z + 300 = -3*s + s. Let k = s + 146. Solve 4*y + 3*t + 14 = k, 4 = 2*y - 2*t - 2*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/10)\/b)**(2\/43))**(-4\/23))**(-11) assuming b is positive.\nAnswer: b**(44\/4945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -275 + 272 - n + n + 3*n. Calculate d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18896 divided by -16?\nAnswer: -1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f - 32 = -93*f. Which is the closest to -1? (a) -1 (b) f (c) 2\/23 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -99163.\nAnswer: -5\/99163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 3 + 13*s**2 + 8*s**2 + 10*s**2 - 32*s**2. Give v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13912*x**2 - 5712*x**2 + 19126*x**2.\nAnswer: 27326*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from pppppppppppprppppppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let r(k) be the first derivative of -k**5\/30 - 3*k**2\/2 - 2. Let b(v) be the second derivative of r(v). Give b(q(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, -14.\nAnswer: -14, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3812 = -5*c - 972. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.019 + 63. Let s = -0.039 - v. Let n = s - 0.18. Which is the closest to -2\/3? (a) -0.5 (b) 1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((46432\/(-8706))\/((-7)\/(-3)))\/(8\/(-434))\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/56112 and -83\/1739472.\nAnswer: 1739472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p = -35*p + 236. Let u = p - -129. Calculate the greatest common factor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 10073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + g**5 - 2*g + (15 - 15 + 23*g**4)*(g - g - 2*g) + 2*g - g**5 - 2*g.\nAnswer: -46*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 + h + 152. Let j be r(0). Let c be (j\/12)\/((-1)\/(-3)). Is c\/(-3)*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -4 - ((0 - 6) + 7 + -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55233879203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.485902 * -0.2.\nAnswer: -0.0971804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.4 minus -0.1?\nAnswer: 648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 + 9582*p**4 - 779910*p**3 + 16401648*p**2 - 11066679*p - 94132638 = 0.\nAnswer: -2, 3, 41, 3111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 755263824 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2462 and 0.123.\nAnswer: 302.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 8*f**2 - f - 5. Let p be s(7). Let m = 2 + p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f)**(-2\/47)*(f\/(f**(2\/49)\/f))\/((f**(-1\/4)*f*f*f)\/f) assuming f is positive.\nAnswer: f**(3887\/9212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 806*w + 10 = 807*w, 4*w - 12 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/11556 and -103\/18654.\nAnswer: 35927604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0715 - -10.0065. Let i = s - 9.6. Round i to two dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 5*b**2 - 4*b + 2. Let n be g(4). Let u be -6 - 3*(56\/12 + -5). Put -2, -20, u, n in decreasing order.\nAnswer: n, -2, u, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyp when three letters picked without replacement from pnswypn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 times 0.17?\nAnswer: 179.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - y + 0)*(2 - 5 + 4) + (6 + 0 - 3)*(2*y + 1 - 1) as l + n*y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 17 = -2*q, 0*q = -2*l - 5*q + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*14\/4. Let q = 85 - 82. Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/((-1)\/(-12)). Suppose -5*o = 15, b*z - 1107 + 91 = 4*o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6655) + sqrt(6655) - sqrt(6655))\/(sqrt(80)*-5).\nAnswer: -33*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 + w**3 + w**2 + 2*w + 2. Let j be v(3). Solve 3*b - j = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -47. Suppose 5*a - f = -5*s, a = 2*s - 0*s + 7. Differentiate -15*w**3 - 7*w**a + 4 + 11 wrt w.\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(5)*-4)\/(-1*sqrt(72) - sqrt(72)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:48 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-12)\/(-9))*-6. Suppose 2*z - 12 + m = 0. Is -2 - (z + -19 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 44 - (-12 - (13 - -19 - 49)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + z + (-396 + 179 + 312)*(-4*z + 2*z + 3*z))*(-3 + 3 - 2*z).\nAnswer: -186*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161858 is divided by 1116?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10157483 is divided by 2539367?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0, 4, -1, 78347 in descending order.\nAnswer: 78347, 33, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l. Let b be w(0). Suppose 8 = 3*q - a + 3*a, b = q - 3*a - 10. Find the second derivative of -35*t**q + 39*t**4 - 2*t + 0*t wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, -168, 25\/4 in increasing order.\nAnswer: -168, 1\/4, 5, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11111 by 1.\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 4*z - 7*z. Let g(k) be the third derivative of -k**4\/6 - 501*k**2. Determine q(g(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + -3) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033039583 to 5 dps.\nAnswer: -0.03304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 - -165. Let t(a) = a**2 - 21*a + 36. What is the tens digit of t(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 0.38. Let r(d) = 2*d**3 - 4*d**2 + 3*d - 2. Let z be r(2). Suppose z*f = f. Which is the closest to -0.1? (a) x (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q + 1. Let c(h) = -h**3 - 4*h**2 - 2*h + 11. Let y(o) = -c(o) + 6*n(o). Calculate the remainder when y(4) is divided by (12\/(-10))\/((-1)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51917*s**3*z**3 + 2*s**3*z + 358*s**3 + 3*s**2*z**3 - s**2*z**2 - 3*s**2*z + 18*s*z**2 + 22*z**3 + 49 wrt s?\nAnswer: 311502*z**3 + 12*z + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 80414 = 81094 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 - -267.37. Let f = l - 5.37. Let q = -5\/17 - 9\/85. Sort 1.6, q, -2\/9, f in ascending order.\nAnswer: f, q, -2\/9, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70934 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let s = z - 0. Let l = s + -0.1. Which is bigger: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102151999 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.1. Suppose -4*z - 26 = -4*r - 6*z, -2*z = -10. What is the nearest to i in -1\/3, -4, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641717556 divided by 4.\nAnswer: -160429389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129142137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 47*u**2 + 4*u + 186. Let h be m(-47). Sort h, -1\/42, -1\/10.\nAnswer: h, -1\/10, -1\/42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27137, 54259, 81381, 108503?\nAnswer: 135625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(512) + sqrt(512)*-2 + sqrt(512))*3)\/(sqrt(144) - -6*sqrt(144)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -844 = -2*u - 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, q: 1, z: 1, d: 1}. What is prob of sequence vd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -76211?\nAnswer: -76207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579594*o - 1579568*o = -2938 for o.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3054? (a) -0.3 (b) -96\/17 (c) 1\/8 (d) -3\/8 (e) 3 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(104)\/(sqrt(24)\/sqrt(3)) - ((sqrt(832) + 1)*3)**2).\nAnswer: -15004 - 286*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/13 - -17\/26. What is the second smallest value in -3\/7, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441961901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 720 - 1b?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5248 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 6*f + 5. Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638991 is divided by 4643.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.7 - -2.7. Suppose 3*a + 2*z - 8 = 0, 7 + 5 = 3*z. What is the biggest value in f, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 932222 and 26774.\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 3.249.\nAnswer: 3.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 - j**2)*(-408*j**3 - 32775*j**3 - 16388*j**3 + 8160*j**3 - 30439*j**3).\nAnswer: 143700*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6029.472 milliseconds?\nAnswer: 6029472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89786 and 22?\nAnswer: 987646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -125*l**3 - l**2 + 1. Let a(w) = w**2 - 11*w - 1. Let h be a(11). Let o be u(h). Let c = 217 - o. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55124340.\nAnswer: 2, 3, 5, 571, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-14)\/f**(-4)*((f**(-2\/5)\/f)\/f)**(-1\/8) assuming f is positive.\nAnswer: f**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*448\/126*3\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 6 (c) 3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636333 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrrrrrbrbww. What is prob of sequence rbwr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252) + 0 + sqrt(252))*-6 - ((sqrt(168) - 2*sqrt(168))\/sqrt(4))\/sqrt(6))**2.\nAnswer: 80143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 4067.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*m + 6 = -m, -10 = w + 5*m. Suppose w = 3*t - 4*t + 4*a, 2*a - 54 = -4*t. Let r be (-5)\/(-12) - t\/16. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 2*g - 3. Let a(k) = -k**2 - 5*k - 3. Let w be a(-3). Give j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1694\/9 - 188. Let g = 0.5 - 8.5. Let t = -8.2 - g. Which is the closest to t? (a) y (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4*v - 121, 3*q - 4*v = -0*v - 79. Let g = q - -35. What is the least common multiple of g and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3615)\/13255)\/(130\/(-110)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/251 and (-439)\/(-28) + 29 + 2587\/(-91).\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-4))\/((-90)\/12). Let q be 6\/24 - 9\/6. Let b = -11 - -15. What is the second biggest value in 2\/9, q, i, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9159*n + 18140. Calculate r(-2).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 4. Let n(y) = 4*y + 2. Let r(g) = n(g) + 2*w(g). Calculate r(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (21 - 34) - 86) + 21?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 92. Let f be (-4)\/6 - (-836)\/12. Suppose -116 = -t*c + f. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 1. Let h(p) = 4*p - 21. Let b(l) = -3*l + 15. Let k = 917 - 924. Let v(s) = k*b(s) - 5*h(s). Determine t(v(i)).\nAnswer: 5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2823 - 2812. What is the greatest common factor of g and 65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:47 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.997 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 2*d**2 + 0*d**2 + 2*d - 2*d**2 + 2*d**2 + 2*d**2 - 2*d**2 + 1 - 1 - 3 + d**2 + 3 + (d + 3 - 3)*(-d - 5*d + 4*d).\nAnswer: -3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*t = -211, 0*t = 4*t - 16. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 + 79 - ((0 - 8) + 0)) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) - (12 - (-3750)\/(-315)). Put -0.2, x, 50, 0.04 in increasing order.\nAnswer: x, -0.2, 0.04, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 1, -26, -2\/9, 0.11, 2\/5.\nAnswer: -26, -5\/3, -2\/9, 0.11, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 14137\/(-2 + 1). Let w = c - -4089. Let o = -60433\/6 - w. What is the common denominator of 127\/6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7521*j + 142865. What is c(-19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 272784*o**3*u - 3*o*u - 109889*u + 11 wrt o?\nAnswer: 818352*o**2*u - 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 + 3*x. Let z(u) = u**2 + 2*u - 2. Let f(j) = -j + 1. Suppose 10 = 31*n - 176. Let k(y) = n*f(y) + 3*z(y). Determine k(d(c)).\nAnswer: 432*c**4 + 216*c**3 + 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/90 + (-10)\/(-75). Which is the fourth smallest value? (a) -0.2 (b) 5 (c) -3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000453876 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 + 1 + (0 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 17459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/4 of a century?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178353 or 535063\/3?\nAnswer: 178353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 14 + 1. Let a be (-13)\/m - (-10)\/25. Let b be 2 - 0\/(0 + 1). Solve 3*v = -a*z + 27, -b*z - 3*z + 17 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*j - 50, -3*j = h - 4*h + 48. Let t = h + -11. Suppose -t*y - 775 = -8*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1771621118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -6 - 0) + -7 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jjzjezj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ooooooaqoyooddxoyx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/60 - 19*v**2\/2 - 33*v. Let b(d) be the first derivative of a(d). Let x(r) = 21*r**2. Give x(b(o)).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 16000*l.\nAnswer: 16000*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42768006*i**3 + 237715109*i wrt i.\nAnswer: 256608036*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*h = -124*h + 83419. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 - 29*r - 225. Let s(b) = 87*b**2 - 2. What is h(s(k))?\nAnswer: -52983*k**4 - 87*k**2 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*u + u + 2*x, -u - 4*x = -25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -9)\/((-10)\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - h = 3, -5*h - 65373 + 65408 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(2 + -1 + 0). Suppose 0 = -5*q - z, -c + 14 = -3*c + 2*q. Let k = -46 + 45.9. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262043 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) + 7*1. Suppose i = -i + 90. Suppose 0 = -5*l + 4*z + i + 13, 2 = -z. Solve -w = -5*a + 4*t, -a - 3*t + 0*t - l = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + -8 - (58 + -68)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104\/209 - 6\/19. Factor -2\/11*v**3 + p*v - 2\/11*v**2 + 2\/11.\nAnswer: -2*(v - 1)*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -0.1. Let z(b) = b**3 - 11*b**2 + 10*b - 1. Let r be z(10). What is the second smallest value in h, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 5 - ((-1 - 24) + 24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cssk when four letters picked without replacement from scsssssscsksscs.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*j - 169 - 8302 = 6863 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -50, -75, -90, -89?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - 15*h - 36. Let r(g) = -g**2 + g. Let c(b) = -n(b) - 3*r(b). Let z be c(-4). Is z > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l*l**(2\/3)*l*l)\/l*l*l*l*l**(-1\/10))\/(l**0)**(4\/7)*l**(1\/3)*(l\/((l\/((l*l\/(l**7*l))\/l*l)*l)\/l*l))\/l*(l\/l**0)**(-32) assuming l is positive.\nAnswer: l**(-311\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23426945173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3541921074925 + 35.\nAnswer: 3541921074960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -298 + 418. Suppose 214*c - 213*c - u = 0. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -80. Calculate the common denominator of -145\/6 and (0 - (-22)\/j)\/((-3)\/15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-36) + (-918)\/3159*9\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 4144?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2*i**2 + i. Let j be o(2). Let h be 8\/20 + (-46)\/(-10). Suppose q + h = 2*q. Solve 5*k - 6 = -j*m + 11, -q*m + 17 = 4*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2 = -2*z - 2*w, 661*z - w + 5 = 660*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.2, -20, 5, 13\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = -f - f, 3*y - 5*f = -19. Which is the nearest to 0.1? (a) y (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 38. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000093071568 to 7 dps.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 584 = -136*u. Sort 58, -2, u, -4 in ascending order.\nAnswer: -4, -2, u, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146010960 to the nearest integer?\nAnswer: 12083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 382 = -3*b, 0*b - 3*b = 4*k - 308. List the prime factors of k*-4*(-4)\/32.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 69. Calculate the highest common divisor of a and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174660 and 355?\nAnswer: 174660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 0.2, -0.4, 0.009, -0.0825, 2\/5, -7?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346 - -350. What is the nearest to 10 in 0.6, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*b, 0*b + 5*b - 6 = -2*r. Suppose 76 = -r*o + 252. What is the remainder when 85 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2*w**3\/3 - 13*w**2\/2 + 32*w. Let j be c(-6). Let l = j - -7. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)*t*t\/(t**6*t))**(-3\/26) assuming t is positive.\nAnswer: t**(33\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1004 = -272. Round v to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64179 and 6515357.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08194, -5, -1\/4, -4?\nAnswer: -0.08194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 3 - 4*v + 2*v**3 + 1 - 3*v**2. Let m(s) = s**2 - 4*s + 4. Let l be m(5). Suppose -l = -4*r + 7. Give t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - ((-1 - -7) + -2)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89224 and 1672?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvc when three letters picked without replacement from {n: 5, c: 1, l: 5, y: 3, v: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -u, 0 = 5*u - 3*i + 159 - 173 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -239, -0.3 in descending order.\nAnswer: -0.3, -3\/7, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40308129623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3133141 (base 5) to base 3\nAnswer: 2122201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350031 is divided by 1426.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2075627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + -105.3167137919.\nAnswer: -152.3167137919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*b - 0*b + 6, 2*x = -b - 21. Let n be (-4)\/6*x\/2. Suppose 0 = 5*y - 5, 5*s + n*y - 210 = 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -20 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 7*g**2 - 7*g + 6. Let a be (2 + -1 - 1) + -8. Determine j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -5 + sqrt(3) + 2 - -5*(sqrt(12)\/sqrt(4) - sqrt(3)).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 > -21255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29.709 or 95\/32?\nAnswer: 95\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:32 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 74 - 56 = 0. Let s = c + 13. Let l = s + -77. Put 9, l, -1\/11, -5 in decreasing order.\nAnswer: 9, l, -1\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 7*h + 41. Let w be y(22). Let o = 292 + w. Solve -o*b = -0*b - 3*x - 9, -2*b + 3*x = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -16 + -18 + 9 + 48.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2 + 2)*(28 + 20 - 17) + 3*x - 2*x - 5*x to the form r + j*x and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 710*j**4 + 6804*j**3 - 33364*j**2 - 84310*j - 44850 = 0.\nAnswer: -345, -13, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-78)\/4)*10. Let h = y + -16. Calculate the greatest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -1\/2, 9584, 0.1, 1\/4 in ascending order.\nAnswer: -4, -1\/2, 0.1, 1\/4, 0.3, 9584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22004, -21990, -21986, -21992, -22008?\n\"Answer: -5*b**2 + 29*b - 22028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 3*h. Let z be g(4). What are the prime factors of (-10 + z)\/((-3)\/10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22.259*3661\nAnswer: 81490.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:30 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -212238202.319?\nAnswer: 212238201.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*b, -55*l - 26 = -57*l + 4*b. Let q(k) = -k - 4. Let i(z) = -1. Calculate l*i(n) - q(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11*y = 7*y + 2, -3*y - 8 = -a. Suppose -5*t + 130 = 26*s - 31*s, 0 = 5*t + a*s - 151. Solve -2*o = 4*m - 11 + t, 0 = -m + 3*o + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*b + 22, -21*b + 164 - 159 = -16*b - 5*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295 + -295.147. Let r = 0.14639 + o. What is r rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -2, -9, -16, -23, -30?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9837\/4 - -2471. Let n = -32 + 38. What is the common denominator of 3*(-65)\/(-18) - n\/(-3) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**3 + 2092 - 58*s**2 + 2*s + 0*s - 2091 to the form n + w*s + q*s**2 + y*s**3 and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177 and 705438?\nAnswer: 41620842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*s + 227, s - 3*r - 52 - 3 = 0. Suppose 5*i - 4*h = -108, 3*i + s = 2*h - 8. Let p = -19 - i. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7765 + 29603. Let o be 0 + 0 + (-6 - r). Let m = o + -867538. What is m rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 4. Let w(t) = -t**3 + 22*t**2 + 26*t - 71. Let n be w(23). Give v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78 - -71) + 445 + -1 + 0. What is the highest common factor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1152771\/1448681 + -488\/611. Let a = b - -201913\/128034. Find the common denominator of a and -39\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + 8.8. Let d = 6.9 - h. Which is smaller: d or 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1.8. Let z(o) = -15*o + 1. Let x be z(-1). Let h be (20\/x)\/((-2)\/8). Which is the third biggest value? (a) l (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2952 + 3015. Let i(f) = 1 + 3*f**3 - 7*f**2 - f**3 - f**3 + 7*f. Let v be i(6). What is the greatest common factor of v and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-9) - (-2)\/(-1). Let v = -35 - -8. Let h = 22 + v. Sort h, 1, y in ascending order.\nAnswer: h, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1368 + 2729. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*c + 17414, -4 = -2*c + 2. Let y be m\/(-30) + (-14)\/(-105). What is y rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*(-7 - 510\/(-75))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-8)\/((-8)\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/7 - 3*a\/7 - 40\/7 = 0.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.9677 hours in minutes?\nAnswer: 2938.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 76\/(-8). Let w be 0 + -1 + 0 + h. Solve -d + 4*l = -2*d - 15, -l + w = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 2*s + 3. Calculate x(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 1 + 7 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -72. Let d be (1 - (1 - j))*2 - 2. Suppose 3*a + 2*k + 6480000 = d, a + 0*k - k + 2160000 = 0. Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 11656?\nAnswer: -11652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -4. Let k be 5 - (-1 + 2 - w). Suppose 60*u + 82 = 101*u. Solve -4 = k*n - u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 11*u - 21. Let n be r(-12). Let k(v) = v**3 + 11*v**2 - 10. Let t be k(-11). Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3 in increasing order.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a + 3. Let m be f(-1). Solve 2*x - 3*x - 3*v - 6 = m, -18 = -3*x + 3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.30299 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 74773818 = 672964360\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 1\/4 (c) 3 (d) 1 (e) 1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15a - -9164b?\nAnswer: 917a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542764?\nAnswer: 2, 29, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.468 + -30. Let j = 0.2004 + o. What is j rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23129623771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 32810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**3 + 7*b**2 + 6*b - 15. What is j(2)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.5 (c) -3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 157062*f - 157065.\nAnswer: 3*(f - 52355)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/4*((-72)\/(-5))\/2. Suppose 2*z - 10 = -q. Which is the nearest to 0? (a) -0.07 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h**2 - 1)*(6*h - 2*h - h)*(5*h**2 - 3*h**2 - 4*h**2).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178764515*a**4*v**3 + 6*a**2*v**3 + 79*a**2 - 94962*a*v**3 wrt a?\nAnswer: 4290348360*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*f - 7186*f**2 + 3514*f**2 - 4*f**4 + 3596*f**2 + 12*f**3 + 80 + 72*f**3.\nAnswer: -4*(f - 20)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2 - (-2)\/4). Suppose 3*p - 11965 = -w*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -274*k**4 - 3*k**3 - 3053*k**2. Let h(c) = -547*c**4 - 4*c**3 - 6108*c**2. Let z(u) = -4*h(u) + 7*y(u). What is the third derivative of z(d) wrt d?\nAnswer: 6480*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 15*k**2 + 0 + 12 - 15 - 23 + 11*k - 14. Let l be d(-14). Solve 1\/5*h + h**l + 0 = 0 for h.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5, 4*d + 4*b + 20 - 48 = 0. What is the derivative of -7*x**2 + 114 - x**d + x - 25 wrt x?\nAnswer: -16*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 2024652?\nAnswer: -202464b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 - 11*n - 14. Let o(x) = 8*x**2 + 34*x + 41. Let t(u) = -4*o(u) - 11*r(u). What is the hundreds digit of t(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 11*j - 17. Let k(n) = 3*n**2 - 12*n + 18. Let t(c) = 3*k(c) + 4*v(c). Give t(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 1, h: 3}. What is prob of picking 1 p and 1 z?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9217922, -9217940, -9217984, -9218066, -9218198, -9218392, -9218660, -9219014?\n\"Answer: -2*a**3 - a**2 - a - 9217918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 54.534368 days?\nAnswer: 7.790624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 329\/((-3572)\/(-76))*9\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + q + 4*q - 2*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3081*r**3 + 3074*r**3 + 3060*r**3 + 3085*r**3 - 12252*r**3.\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {q: 3, i: 9, x: 4}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 152*p**2 + 31*p - 149. Is z(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/60)\/(-6)*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from {h: 6, d: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -128. Let s = i + 104.024. Let c = -0.024 + s. Are -9\/10 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 6. Let a be j(-6). Let x(p) = -40*p + 6. Let o be x(a). Let h = o + -3688\/15. What is the smallest value in 3, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385 + -376. Suppose -15*h = -j*h - 69600. What is h rounded to the nearest 100?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90568 by 4.\nAnswer: 22642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3018993.04 to the nearest ten thousand.\nAnswer: -3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16*75\/700*1\/3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*h + 3*k = -6, -2*k - 3 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0 + 10\/5. Suppose 0*m - 5*m + 10 = d. Which is greater: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6820280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40957.403 - -40902. Let k = f - -55. Let a = k + -0.047. Round a to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 27, 37, 47, 57, 67?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*a + 845, 5*a - 12*y = -7*y + 785. Solve a - 184 = 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 10 - (0 - -34) - (-23 - -28)) + 6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**6\/120 + s**4\/8 + s**3\/3 - 3. Let j(d) be the third derivative of m(d). What is the derivative of j(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 9\/7, -0.5, -8, -0.05, -6\/43?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y - 43. Let r = -150 + 145. What is d(r)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/165 and 57\/5?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 6193?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1156*q**3 + 81328*q**2 - 1200576*q + 5061888 = 0.\nAnswer: 156\/17, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -267b + -815?\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2792199 by 930733.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:40 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162600016.5161386748 - -162600148.72. Let q = 0.2038674252 - k. Let j = 132 + q. Round j to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*o + 3836 = 387*o. Let z(a) = 7*a + 16. Let u(w) = 8*w + 17. Determine o*z(g) - 6*u(g).\nAnswer: g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*y = 0, c - 3*y = -2*c. Suppose 4*m - 14 = -2*w, 3*w - w - 6 = c. What is p in 15*p - 13*p + m*p**2 - 8*p = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r. Let p(y) be the first derivative of y**5\/6 + 31*y**2 - 38. Let d(a) be the second derivative of p(a). Give q(d(z)).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/91 + (-2)\/(42\/15). Let l(d) be the first derivative of -d**3\/3 - d**2\/2 - 1. Give l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.568328ml to litres.\nAnswer: 0.000568328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 8, -100*r - 25*m = -105*r + 20 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 25*t**2 - 21*t - 54. Suppose -16*h = -20*h + 113 - 17. Calculate s(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29984*v. Let x(q) = -q**2. Calculate x(i(w)).\nAnswer: -899040256*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -182. What is the remainder when w is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 2*h**3 - h**3)*(1 + 2 - 4 + (-1 + 1 + 2)*(-1 - 1 + 4) - 24 + 3 + 2 + (-4 - 3 + 1)*(-2 + 3 + 0)).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = 0, g + 18 = 4*c. Let q be (10\/(-3) - 0)\/((-12)\/g). Let j = -2 - q. Solve -2*p + 3 - 2 = -j*s, -5*s - 19 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 18 = -5*r, 2*g - 9 = -4*r + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -2) + (-393 - -476)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -y. Let f = y - -14. Let z = 8 - -1. What is the least common multiple of z and f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 1. Let w be 40\/(-18) + (-8)\/(-36). Let v be w\/(-1) - 0\/(-7). Let f(c) = 7*c**2 - c + 3. Calculate v*f(x) - 5*m(x).\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*t + 84 = 0. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -27. Let v be n\/5 + (-756)\/(-60). Suppose -3041 = -v*q - 377. List the prime factors of q.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2. Let w(r) be the second derivative of 2*r**4 + 11*r**3 - 33*r**2\/2 + 88*r. Let a(j) = -2*j + 1. Let p(d) = 66*a(d) + 2*w(d). What is h(p(v))?\nAnswer: -9216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1516885158*d**2*w**2 - d**2*w - 16716*d**2 - 5*d*w + 17*w - 20 wrt w?\nAnswer: 3033770316*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -2*w - 138, -v + 14 = -405*w + 408*w for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, b: 6, r: 2, w: 3}. Give prob of sequence wdwb.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 62*b - 286 - 178. Let k be (4\/(-12))\/(1\/(-3)). Let x(j) = 5*j**2. Let m be x(k). Solve 0 = m*c - 6 - b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 9*s - 11*s + 3*s**3 + s**2. Let b(d) = -d**3 + d. Let k(n) = a(n) + 2*b(n). What is the third derivative of k(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o - 2. What are the prime factors of r(9)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 (base 8) in base 5?\nAnswer: 21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = 2*x, -d - 5*x - 21 = -0*d. Let q be (d - 0) + 0\/(12\/6). Solve o = 5*o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1063, 1059, 1055, 1051, 1047, 1043?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 4. Give i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23791 is divided by 374?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:34 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.82?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27591861481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.80471052 rounded to 3 decimal places?\nAnswer: 3.805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4028 and 172197.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 17 = 2*b, -17*l + 3*b = -12*l - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-253)\/(-110))\/(-23))\/(492\/615)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (32 + -10 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -51, 294, -2\/15 in descending order.\nAnswer: 294, 3, -2\/15, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*b + 176*b - 2761 - 4439. Is 80 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -61*v - 116. What is f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/39, 1\/5, 2\/7, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/4 - 381*s**3\/2 + 96371*s**2\/4 + 248199*s\/2 + 150300 = 0.\nAnswer: -3, -2, 167, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264108 by -325.\nAnswer: -20316\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 71 = 48. Solve w = 4*p, 11*p - m*p = -w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2688108\/255)\/(2\/5) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 209, 477, 861, 1367?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26638, 53273, 79908?\n\"Answer: 26635*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.83691 days to hours.\nAnswer: 188.08584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10754 - -10756. Solve i + 33 = 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -175.\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94)\/(-705) + 13\/15 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 18, 1, 0.4, 1\/7.\nAnswer: -3\/2, 1\/7, 0.4, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11074 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36521*c**5 + 2638*c?\nAnswer: -730420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14) + (-2376)\/(-1890)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*u + 1. Solve -5*v + 3 + 42 = 4*j, v = u*j - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.08809l to millilitres.\nAnswer: 71088.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 16*a**4 - 11*a**3 - 16. Let v(g) = -4*g**4 + 3*g**3 + 4. Let q(m) = -6*k(m) - 22*v(m). Differentiate q(y) with respect to y.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5\/4)*c)\/c)\/c**(-2\/9)*c**6*c*c\/(c*c*(c*c*c**(-1\/33))\/c) assuming c is positive.\nAnswer: c**(1981\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 1 + 2*s + 0*s. Let a be 2 + -2 + 0 + -7. Let o(x) = x + 4. Let k be o(a). Give u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(216)\/sqrt(6))\/((sqrt(72) + 1*sqrt(72))\/sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-54))\/(-4))\/(2\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3364 = 3287. Let k(y) = y**3 - 11*y**2 + 26. What is k(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4\/5, -10, 4, 0.021 in ascending order.\nAnswer: -10, -2\/3, 0.021, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5368, -10 in increasing order.\nAnswer: -5368, -10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 7, d: 4, g: 5}. What is prob of picking 2 d and 2 l?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*j = -23, -3*p = -30*j + 33*j - 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n + 5. Let c(w) = -w. Let l(z) = 2*z - 1. Let x(a) = -7*c(a) - 3*l(a). Let t be x(-9). Is n < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -2?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51074 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19585)\/86174*-4*3\/30.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 44. What are the prime factors of 5\/(-2)*324\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -400114 - 5?\nAnswer: -400122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43)\/(-9) - (-2)\/9. Suppose -c - 16 = y*k, 4*k - 3*c = -47 + 19. Is (0 - k)\/(-4) - -224 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(99\/(-66))*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3)*q)\/(q\/(q*(q\/(q\/q**(-2\/5)))\/q)))\/(q**(1\/2))**(1\/2) assuming q is positive.\nAnswer: q**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 39 - 20)*(-4 + 1 + 1)*(-11 - 17*r + 11) as a + i*r and give i.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 7*r**4\/5 - 24*r**3 + 577*r**2\/5 - 528*r\/5 + 64\/5 = 0.\nAnswer: 1\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830*u**2 + 850*u**2 + 875*u**2 - 2557*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6248561ng?\nAnswer: 0.0000006248561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3\/9 - 232358*p**2\/9 = 0 for p.\nAnswer: -116179\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 - 2*n**2 + 2*n + 1. Let t(i) = 24*i**3 + 48*i**2 - 48*i + 3664. Let f(r) = 24*g(r) + t(r). What is the derivative of f(o) wrt o?\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3048627 - 7382373. Round m to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 940\/16 - 3\/4. Let w be 1\/3 - 22\/3. Let g = w + f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*m = -344*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/5 - 712492*k**2\/5 + 104055806*k\/5 - 3798425936\/5 = 0?\nAnswer: -356392, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 328, 786, 1452, 2332?\nAnswer: 3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516 divided by 172.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + (-52)\/(-9). Suppose 2*x = 5*x - o. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = -2*y + 40, 4*y - 2*a - 80 = 0. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/909236 - -601005113\/106380612. Let j = -72\/13 + d. Let f be 21\/(-35) + (-11)\/(-35). Which is the nearest to -2\/9? (a) 1 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 626 + 38 = 40 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9673042.\nAnswer: 2, 4836521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n - 1. Let j = 30 - 17. Let l = 17 - j. Let d(i) = -12*i. Let s(u) = l*d(u) + 5*a(u). What is the first derivative of s(o) wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*b + 47812, 2*v - b - 27417 = -3511. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459158 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 58*n**2 - 7083*n + 351. Calculate l(118).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*d + 8, -d - 2*b + 68 - 65 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 14. Let m be d(9). Suppose -g = 4*j - 4*g - 20, 4*g = 4*j - 20. Let p(b) = -2 - 4 + j. Let v(n) = -n - 7. Calculate m*p(x) - v(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.01796, 4, -3\/2?\nAnswer: -0.01796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 5350*o**2 + 5 - 35*o - 5350*o**2 + 10689*o**2 to the form g + h*o + n*o**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = -6*o - 2*o + 108 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 155 (b) 613 (c) 3 (d) -4 (e) -1 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/40 and -46\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/85? (a) 0 (b) -2\/7 (c) 1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k - 89 + 220 + 214 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:12 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l + 41. What is the hundreds digit of s(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*j - 1007 + 367 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 3\/2*y**2 - 2 + 9*y. Let f be 70\/28*(2 + 44\/(-10)). What is k(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 4*p + 0*p + 147 - 69.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52548201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*q**2*r + 2*a**3*r**2 - 9*a**3*r + 139*a*q**2*r**2 + 2*a*q**2 wrt r.\nAnswer: 4*a**3 + 278*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2 - 633664*v + 25095629056 = 0.\nAnswer: 79208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50284 - -50216.082. Let i = p - 0.082. Let l = 64 + i. What is the closest to 0.1 in 3, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 4. Let t be d(6). Let o = -1 + t. Suppose 3 = -3*a, 13 = 4*n - 2*a - 3*a. Is o > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*(y*y**(-1\/10)*y)\/y*y*y*y)**(2\/9)*y**(-1)*y*y**(1\/4)*y*y**(-3\/7)*y\/y**(-3) assuming y is positive.\nAnswer: y**(5767\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1031*l**2 + 56*l - 57. Let f(u) = 515*u**2 + 30*u - 28. Let i(r) = 3*a(r) - 5*f(r). Is i(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4113650*j*x**2 + 2215612*j - 37*x**2 + 5 wrt x.\nAnswer: 8227300*j*x - 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 14. Let p be c(16). Let b be (p + 5)*-2 + 282006. Round b to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -8*b + 6*x - 265, 13*x + 58 = -2*b + 11*x for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.03 (c) -4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, -5, 2, 3 in descending order.\nAnswer: 8, 3, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 17.54\nAnswer: -385.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -27*(2*4\/(-8) + -11). Suppose 0 = 6*c - 9*c + o. Suppose -3 = -3*w - 0, -5*p + 108 = -2*w. Calculate the least common multiple of p and c.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9413 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 8. Let q be 272\/9 - k\/36. Suppose -q = 2*p + 3*p. Which is smaller: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q, 5*a - 3*a - 2*q + 4 = 0. Let j(k) = 36*k**2 + 28*k + 4. Let f(c) = 1. Let z(o) = a*j(o) - 12*f(o). Factor z(b).\nAnswer: 4*(b + 1)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 e when three letters picked without replacement from cchheeeeheceecce.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917043681 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*8\/(-18)*3. Let s(g) = g**2 - 9*g - 11. Let w be s(10). Does n = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9133 is divided by 208?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 i when three letters picked without replacement from {k: 8, i: 1, e: 1, l: 4, c: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) -30 (d) 41.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - m + 2*m + 5*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:05 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4959389*k**2*w**2 - 6237738*k**2 - w**3 wrt w?\nAnswer: 9918778*k**2*w - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*h + 26, 0 = -5*s + 11 - 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) 2\/15 (c) -2 (d) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1083 divided by -1083\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 16 = 2*i. Let a = 25 + -27. Let z be (5 + 1)*14\/21. Sort z, a, i in increasing order.\nAnswer: i, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 + -33. Let r = 134 - t. Sort -3, 0, -2, r.\nAnswer: -3, -2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnp when three letters picked without replacement from {m: 1, o: 1, n: 4, b: 3, p: 4, d: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1649 and 3.\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228291 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -8*q - 2. Sort q, -3, -0.4 in increasing order.\nAnswer: -3, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 759 and 758 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let v(c) = -5*c + 5. Let w(p) = -11*p + 13. Let o(x) = 15*v(x) - 6*w(x). What is the units digit of o(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 + 0*t**2 + 2*t**2 + 3*t**2 - 3*t**2 - 2*t**2 + (-1 + 2 + 0)*(4*t**2 - 2*t**2 - 3*t**2) + 2*t - 2*t - 2*t**2 - 2*t**2 - 2*t + 227 - 4*t**2 - 224.\nAnswer: -6*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3416 + 7525. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from {u: 6, g: 2, i: 1, e: 9}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 - 2*w + 2. Let r be m(2). Suppose -c + 10 = 5*n, -4*n + r*c = c - 17. Calculate the remainder when 4 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8638.507m to micrometers.\nAnswer: 8638507000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p + 13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1403*s**4 + 2 - 4*s + 1394*s**4 + 2*s**3 + 2*s to the form a*s**2 + z*s**4 + w + d*s + v*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 231561 (base 7) to base 9\nAnswer: 62763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**5\/5 - 24*s**4\/5 - 8*s**3\/5 + 48*s**2\/5 + 4*s\/5 - 24\/5 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 122\/3. Let w = -12994 + 13005.906. Let d = w - -0.094. What is the second biggest value in p, d, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Suppose 1 = n - 3. Suppose 8 = -n*a + 4. Sort a, g, -5 in increasing order.\nAnswer: -5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 42*c - 121*c)*((7 - 3 - 2)*(0 + 3 - 5) + 4 - 1 - 2)*(-c + c + 8*c).\nAnswer: 3888*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 24*z**4 - 48*z**3 - 40*z**2 - 12*z.\nAnswer: -4*z*(z + 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least 127505434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m + m + 44*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 5:09 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13716 - -127.44.\nAnswer: -13588.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*q**3 - 66*q**3 + 32*q**3 + 23*q**2)*(-5*q + 5*q + 2*q**2).\nAnswer: 4*q**5 + 46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*f - 26*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.238044925 rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1088 and 224320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 10:06 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 197?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67918 and 12?\nAnswer: -815016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -1652, -5567, -13224, -25871, -44756, -71127?\nAnswer: -106232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 13) to base 8\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2822078 (base 11) to base 2.\nAnswer: -10010100011011001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*n**4 - 32906*n**3 + 17*n**2 - 1000313514*n?\nAnswer: -1476*n**2 - 197436*n + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -235 - -240. Solve 3*l - l = 3*j + b, -5*l = -5*j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 7964184.\nAnswer: -2, 2, 7964184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:56 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -36114052.\nAnswer: 10834215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 17560 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 0.1 (c) 18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzhshlmllumuz. Give prob of picking 2 u and 1 h.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -7*v + 103, 10*v - 5*v - c - 69 = 0. Calculate the smallest common multiple of 196 and v.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -19*l - 66. Let o(g) be the first derivative of -g**2\/2 + 5*g - 55. Let i(j) = -2*o(j) - 2*t(j). What is the first derivative of i(s) wrt s?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*308\/(-198)*-27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 - -5)\/((-1)\/(-84)). Let g = k + -1256. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w + 34. Let j be o(-4). Suppose -4*i = p - 3175, -2*p + 106 = -j*i + 1696. What are the prime factors of i?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3673 + -4?\nAnswer: 366a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1029) + (sqrt(147) - -1*sqrt(147))\/sqrt(7))\/((sqrt(12)\/(2*sqrt(4)) - (sqrt(192) - 1*sqrt(192)))*-6).\nAnswer: 19*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-1))\/(1 - -7). Let w = -423\/8 + 53. Sort -0.2, w, v in decreasing order.\nAnswer: w, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 + 2*r + 3. Let z be c(-3). Solve -o + 20 = -z*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 10, 5, 0?\n\"Answer: -5*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17670)\/(-1045) + 1\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*v - 18, -3*a + 22146 - 22130 = -5*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)*y*y**6*(y*y**(-5)*y)\/y*y*(y*y**(1\/8))\/y*(((y\/(y**(-5\/3)\/y))\/y)\/(y**(-2\/5)\/y))**(-4\/11) assuming y is positive.\nAnswer: y**(3053\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/19*-1*-4*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130922?\nAnswer: 2, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/120 + c**5\/10 + c**4\/4 + c**3\/2 + 12*c**2. Let m be u(-5). Is m <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 2:53 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 2. Let y be z(-1). Let r be ((-12 + 12)\/3)\/2. Put r, -3, -2, y in descending order.\nAnswer: y, r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16 and -99\/818.\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3498007580 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l**2 + l - 4. Let r be a(-3). Let t = -162 + r. Solve 0 = -2*c - 2 - t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7200 + 22305 = 228*v - 10431. Are v and 125 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1558 - 565. Suppose 4*g - g - o = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((756\/16)\/7)\/((-6)\/32). Calculate the smallest common multiple of (27\/12)\/((-3)\/(-56)) and (((-275)\/(-15))\/(-11))\/(10\/y).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13779\/1251 - 11)*1. Let r be 4 + 2\/(-2) + -4. Which is greater: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2954288 is divided by 1693.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -6*l + 3*l + 35, -58 = -4*l - s. Suppose -2*b + 19 = -3*t, 5*b + t - 54 = 2*t. Let u = l - b. Is u at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -16.1 (c) 23\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3215, -6408, -9601?\nAnswer: -12794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (-2*sqrt(77)*-5 + sqrt(77))) + sqrt(77) + -6*(sqrt(77) - (2*sqrt(77) + sqrt(77))))*1)\/((sqrt(165)\/sqrt(48))\/(-1*sqrt(320))).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*c + 6*c. Let o(m) = -2*m - 26. Let g be o(c). Solve g = -x - 3*l - 17, -2*l - 3*l - 15 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 6*f**2 - 6*f - 5. What is g(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 4:13 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661.51172 rounded to 1 decimal place?\nAnswer: -1661.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 15. Let b(h) be the second derivative of 0*h**4 + 0 + 0*h**3 - 1\/40*h**5 + m*h + 0*h**2. Let b(r) = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -12. Suppose w*m - 15 = -m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1312 and 50348.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 + 47*w**2 - 2*w - 248. Determine l(-7).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:18 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 32. Let d(f) be the third derivative of 1\/120*f**w + 1\/15*f**3 - f**2 - 1\/300*f**5 + 0 + 0*f. Factor d(h).\nAnswer: -(h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 + 7*m + 3. Let w be v(3). Let t be -4 + 9 + -6 - w. Solve 2*a - 6*a = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m**4 - 3351*m**3 - 8832*m**2 + 4068*m = 0.\nAnswer: -3, 0, 2\/5, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.7 - -0.3. Let p = k + -7. Let d = 14\/25 + -37\/200. Which is the third biggest value? (a) 1 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 32*l**3\/7 + 463728*l**2 + 82313284482*l\/7 - 411647578810\/7 = 0.\nAnswer: -202891\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/123)\/((-3)\/9). Let y = l + 45\/164. Let -1\/4*s + 0 + 0*s**2 + y*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3282 - -4081. What is the greatest common divisor of 34 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*0.07.\nAnswer: -0.00203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(2\/(-12)). Suppose 33 = 14*z - 331. Let o = q + z. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znu when three letters picked without replacement from xzinziixiicxuni?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20813*u + 3*a = -20816*u - 27, -5*a = -2*u + 80 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16238 - 15835. Calculate the remainder when z is divided by 144.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxuu when four letters picked without replacement from uuuuuxxpa?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n + 1. Let k(l) = -2 - 9*l + 7*l**2 + 1 + 5*l + 18. Let d(y) = k(y) - 4*r(y). What is the derivative of d(i) wrt i?\nAnswer: 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430 (base 8) in base 2?\nAnswer: -1100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j + 164*j = 94*j + 210 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, j: 7, z: 2}. Give prob of sequence mmjm.\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -539\/120 + 133\/15. Let x = 2337\/536 - r. Let h(y) = y**2 + 4*y + 4. Let d be h(-3). Sort 2\/5, x, d in descending order.\nAnswer: d, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -589*j**3 + 503 wrt j?\nAnswer: -1767*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p + 3. Let q(l) = 7*l - 7. Let s(j) = -6*q(j) - 10*z(j). Let b be s(4). Suppose -177 = -b*d + 111. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21888 - -42337. List the prime factors of t.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-23) + 1282*(-6)\/(-2760) and -95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -1\/3*s**4 + 0 - 5\/6*s**3 + 6*s + 0*s**2. Find the second derivative of j(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (0 - (-3 + 0)) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 16, i: 4}. What is prob of picking 1 b and 2 i?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -19759 and -20304 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581 + 38.3514.\nAnswer: 1619.3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2\/(-3))\/((-9)\/(-54)). Suppose -t - 40776 - 48224 = 3*w, 3*t + 267000 = o*w. What is t rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from yyiteyeieyyeeiee.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -51*m + 17*m + 25*m + 18*m. Let l(u) = 3*u. Determine q(l(x)).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0) + 24 - (-6)\/3. Let f(k) = -881 - l*k**3 + 9*k**3 + 877. What is the tens digit of f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (25 + 6 + -7) - (-3 - -2 - 72).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -53*m - 574. Let h be i(-10). Which is smaller: h or -750\/17?\nAnswer: -750\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.037 and -25969721.4.\nAnswer: -25969721.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4734?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y + 5*c, -6*y + y - 4*c + 22 = 0. Let a(k) = -4 - 5 + 4. Let i(r) = r + 1. Let o(b) = -a(b) - 2*i(b). What is o(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*t + 8, 2*y + 3 = 5*t - 7. Let i = 6 - t. Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 786, -7\/5, 1\/2 in increasing order.\nAnswer: -7\/5, 1\/2, 786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 - q**3 + 4*q**3)*(5*q - 2*q - q) + 2*q**4 - 3*q + 3*q + 4736 - 4736 + 1067*q**4 to j*q**3 + v*q**2 + y + f*q**4 + x*q and give f.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1644*i**2 + 28*i. Let y(l) = -22*l**2 + l. Let q(j) = -2*x(j) + 56*y(j). Let f(n) = -n. Give q(f(g)).\nAnswer: 2056*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*s + 1 = 4*d, -7 = d - 4*s. Suppose -2*g - 3 - 7 = 2*a, -g + 5*a = 5. Let x(o) = -3*o. Let h(w) = 2*w. Let t(i) = d*x(i) + g*h(i). What is t(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 4, 16.\nAnswer: -61, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 5*l + 4*l)*(0 + 4 - 3)*(-11 + 4 + 11)*(13 - 3 - 3).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -740 + 750. Let j(l) = -2*l**3 + 21*l**2 - 7*l - 27. Let f be j(a). Let c = 5 - -3. Solve -f*w + w + 3*y = -16, 4*y = -c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bcee0 (base 16) in base 11?\nAnswer: -1035247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:10 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 18. Let l be n(8). Which is the nearest to l? (a) -1\/12 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 - ((-46 - -4) + 7 + -10 + 6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2094, 2104, 2120, 2142, 2170, 2204?\n\"Answer: 3*y**2 + y + 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3743 or 13055?\nAnswer: -3743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*45566\/(-12) - 2\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180944360 by 545.\nAnswer: 332008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*u + 16*u = -3441. What is the remainder when 471 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 8*f - 6. Let j be z(9). What is the third derivative of j*v**2 - 2*v**3 + 2*v**3 + 2*v**3 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1233*i + 5*n = 1234*i - 40, -32 = i + 4*n. Solve i = 105*u + 822 + 123 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.3 - 8. Let w(l) = -14*l - 54. Let k be w(-4). Which is the smallest value? (a) h (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2178, 3, 4, 38.\nAnswer: 3, 4, 27, 38, 2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5642)\/52*(-30)\/(-105)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + 3 + -16 + -4561 + 4600.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5474976753.\nAnswer: 3, 1824992251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 t when four letters picked without replacement from {g: 1, z: 2, y: 1, t: 3, e: 4, f: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 93, 2, 15, -0.11, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2061\/(-2977) + (-315)\/(-624)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**1\/s)\/s))**6*((s\/(s**22*s)*s)\/s*s)\/s*s*s**(10\/7) assuming s is positive.\nAnswer: s**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-60))\/(130\/663)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - (3 - (8 - 5))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11*m - 151. Suppose 8*n = -v + 3*n - 9, 5*v + 3*n = 65. Calculate the remainder when q(-18) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from iipmpimm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4259302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i + 3. Let d be a(14). Suppose -d + 2049 = 4*b + 5*p, b = -3*p + 466. Let c be 4 - b\/(-2 - -3). Round c to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5586721380 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 2*w + 8. What is m(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, a: 1}. What is prob of sequence qa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {o: 1, h: 2, n: 1, u: 1, c: 1, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1003 = -a - 4*q - 2, 4*a - 4037 = -5*q. Suppose -2*u + 3*t = -483, -t - a = -5*u + 162. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21756543 rounded to the nearest ten thousand?\nAnswer: -21760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -110000111010011111?\nAnswer: 110000111010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/660 - 2*j**5\/55 + 13*j**4\/44 - 28*j**3\/33 + 2*j**2 + 234. Factor n(k).\nAnswer: 2*(k - 7)*(k - 4)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3 + -3*6. Let u = w - -22. Suppose u*o - 165 = o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19) + 3)**2*4*-6 + (1*((sqrt(133)*1 - sqrt(133)) + sqrt(133)))\/(2*sqrt(28)).\nAnswer: -4320 + 1729*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.3645672 to 2 decimal places.\nAnswer: 17.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529296.\nAnswer: 2, 7, 11, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45a (base 12) to base 5.\nAnswer: 10041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 5 (c) 6 (d) 1428\/11 (e) -2 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**2 - 21*a**2 - 22*a**3 + 546 - 546.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60\/15233729 or -1?\nAnswer: 60\/15233729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1113 * 0.3\nAnswer: -333.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -642 - -665. Let m = 84 - -8. Calculate the greatest common divisor of q and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 + 31. What is the tens digit of (-50)\/(-8)*j\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32361 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z - 3*z + 3*z + 4 + 2*z - 4 + 1 - 2*z - 1 + (-4*z + 2*z + 0*z)*(-5 + 1 + 2) + z - 3 + 3 - 3*z + z + z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 - 4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3930685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2458*-0.001241\nAnswer: -3.050378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -0.1 (b) -4 (c) 3 (d) -29 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + 0 + sqrt(1053)) + (sqrt(1053) - (sqrt(1053) + sqrt(1053)*-1 + 0)) + (1*sqrt(1053)*-3 + sqrt(1053) + sqrt(1053) - sqrt(1053)) + sqrt(1053))**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1352, 1521, 1690, 1859, 2028, 2197?\n\"Answer: 169*t + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:13 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqnnnnqqn. What is prob of picking 1 q and 1 n?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158064964 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: Which is the third biggest value? (a) -1.8 (b) -3 (c) 96 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -18*h**2 - 200*h - 10. Let a be b(-11). Calculate the greatest common divisor of 324 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375)\/sqrt(5) - sqrt(3)) + (sqrt(300) + 0 + sqrt(300))**2)*-1.\nAnswer: -1200 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*q**4 + 8*l**2*q - 15*l**2 + 23*l - 38*q with respect to q.\nAnswer: -8*l**2*q**3 + 8*l**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 43 (c) -3 (d) -0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 268988*z**3 - 134495*z**3 - 134492*z**3 - 8 + 4*z. Give h(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182.4 + 182.4. Sort 2, q, -0.54 in ascending order.\nAnswer: -0.54, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 509, 764, 1019, 1274?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710191.2nm to micrometers.\nAnswer: 710.1912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3410 = -2*a. Let i be a\/55 + 4\/(-10). Let z be 4\/i - 13\/3. Let u(h) = -h**2 - 6*h + 2. Calculate u(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(243)*4)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -28*z - 62. Let a be n(-2). Let k be 1\/a*-6*-439. Is -438 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 6, 70\/13, -1\/2.\nAnswer: -13, -1\/2, 4, 70\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/330 and 115\/36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17298898300 rounded to the nearest one million?\nAnswer: -17299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11266 + 4?\nAnswer: -11262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-20))\/(9\/(-15)*638\/(-66))?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5828 and 18.\nAnswer: 104904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-12) - -2 - -17)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*n + 8 = -7, 2*q - 4*n = -14. Let y(i) = 3*i**3 + i**2 + i - 1. Let g be y(q). What is the remainder when 42 is divided by ((-210)\/(-56))\/(1\/g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322250947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 9 = 3*t. Let z be (t\/2)\/((-4)\/(-8)). What is the third derivative of -5*k**z + 3*k**2 - 11*k**2 + 6*k**2 wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.40359 and 0.4?\nAnswer: 0.80359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 11?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 41090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -64 (b) -2\/11 (c) 3 (d) 2210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13426315?\nAnswer: 5, 7, 383609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293.79 + -5.79. Let i = -293 + g. Which is the second biggest value? (a) 2 (b) -2\/5 (c) -2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554450047.466 take away 0.5?\nAnswer: 5554450046.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + -3 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 divided by 393?\nAnswer: 962\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-8)*5*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3827757.\nAnswer: 3, 347, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*y + 2 + 21*y + y**2 - 5*y**3 + 5*y to the form p + c*y**2 + b*y**3 + v*y and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*(-12)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 34696377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26300226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 10 - 14 - 59*g - 19 as w*g + k and give w.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (-25 - -6)) + -29?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 23*d + 8. Let m(k) = -736*k - 253. Let p(z) = -5*m(z) - 161*x(z). Let r(q) = 4 - 3*q + 5*q - q + 3*q. What is 6*p(n) + 34*r(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - 1*sqrt(147) - sqrt(147)) + -5)*-3)**2 + 5 + -1 + sqrt(3888).\nAnswer: 666*sqrt(3) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128604700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -227 (c) -1 (d) -389 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 49907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.2 + 23. Let l = j - -0.2. Let m(a) = 3*a + 13. Let i be m(-3). What is the second biggest value in i, 2\/7, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 6*v + 12. Let n be w(4). Suppose -n*g = -112 + 16. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3610504 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g + 340969134 = 340962554 for g.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*v = -19846, 2*j = 5*v + 4972 + 2985. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -20. Calculate the greatest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 230466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678603 is divided by 622.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 26. Let n be p(-13). Suppose 4*z + 35 - 15 = 0. Put n, 3, z, 1 in decreasing order.\nAnswer: 3, 1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 40905222?\nAnswer: 5\/40905222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 199 (b) 0.3 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a factor of 137047404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 961\/2? (a) 1\/2 (b) -12 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 471, 1543, 3595, 6945, 11911, 18811, 27963?\nAnswer: 39685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 61 - 26 - 6 - 29 - 330*j.\nAnswer: -329*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -142.\nAnswer: 5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 562641 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 271*f - 285*f. Suppose -42*o = -44*o + f. Solve 2*v - u + 8 = -2*v, 0 = 2*v - o*u + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118785 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 7*p**2 + 4*p - 1. Give x(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h + 1. Let l(y) = -9*y**2 + 17*y - 2. Let v(i) = 4*g(i) + 2*l(i). What is the second derivative of v(k) wrt k?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9403025100.0000667 + -9403024032. Let d = -1068 + a. Round d to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d + 191. Let c(a) = 14*a + 382. What is -3*c(g) + 5*f(g)?\nAnswer: 3*g - 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 - h**2 + 107*h - 529*h**4 + h**2 + 127*h - 213*h wrt h?\nAnswer: -6348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 29*p - 395. Determine f(9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(9\/(-2)))\/((-5)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6036 is divided by 2646?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*r, d + 287*r - 145*r = 146*r - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 + 1095*a\/2 - 1101.\nAnswer: 3*(a - 2)*(a + 367)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 9 = -30. Let l(o) = 19*o - 1. What is l(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 16*k - 10*k = -100 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 63187144.\nAnswer: 821432872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 - o + 7. Let a be w(7). Suppose -7*g - g + 128 = a. Solve 0 = 2*z + 2*z - g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181272, 179876, 178480?\nAnswer: 177084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/5)\/(11\/(-55)). Let y(c) = -60*c - 1. Let o be y(q). Let p = o + 85. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 549842.\nAnswer: -549793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + -1*sqrt(700) - (sqrt(63)\/(sqrt(9) - (-4*-2*sqrt(9) - sqrt(9)) - sqrt(9)))**2)*-1.\nAnswer: -20*sqrt(7) + 12\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -39*c - 136. Determine f(-6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:58 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2695389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67281 (base 12) to base 10.\nAnswer: -136897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -76\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -2859.\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 20 = g - 16, -4*g - 3*c = -153. Suppose 4*j - 173 = g. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*3\/12*2. Let t = 8 - y. Calculate the highest common factor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*sqrt(156))\/sqrt(12) - (sqrt(156)*3*-2)\/sqrt(12).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 547*p**3 - 2*p**2 + 59*p - 57. Determine k(1).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/45)\/((-1)\/10*4). Factor 0 - 4\/3*x**3 + 0*x + 2\/3*x**4 + y*x**2.\nAnswer: 2*x**2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 986986 and 7436.\nAnswer: 25661636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63134.\nAnswer: 2, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyxyi. What is prob of picking 1 i and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 - 3. Let t(g) = -2*g**2 - g + 1. Suppose 2*h = 6*h + 8. Let z be t(h). Determine q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2450306 and 0.14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0*q**3 + 0 + 1\/40*q**6 + 24*q**2 - 3\/20*q**5 + 1\/4*q**4 + 0*q. Factor z(f).\nAnswer: 3*f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 106?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47058 is divided by 15684.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3*k**5\/100 + k**4\/10 - k**3\/10 - 3*k**2\/5 + 2*k + 1. Let n(c) be the first derivative of h(c). Solve n(p) = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29845*t**6 + 52*t**2 - 113*t wrt t?\nAnswer: -3581400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 687544 and 2496?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/(-24) - 14\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-210) + (-8)\/(-10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 16*q + 1174. Let f be s(-43). Solve -2*a - f = -4*k + 7, -20 = 5*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5172 by -2347.\nAnswer: -5172\/2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l. Let z(g) = -2222*g. Calculate z(k(x)).\nAnswer: -6666*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143036 divided by -2.\nAnswer: 71518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -30 - (1 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30070 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68308 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1720 divided by -344\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(7) + -3*sqrt(21)\/sqrt(3) + sqrt(7)))\/((sqrt(1089)*-2 + sqrt(1089))*-5).\nAnswer: -sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - b**3 - 6*b**2 - 44*b + 44*b.\nAnswer: 3*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1605 and 9?\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 + 3*g**2 + 1. Calculate i(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 435449.\nAnswer: -1306347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*k + 1048 = -48*k + 16*k - 6645 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 1250922.\nAnswer: 1250922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*y - 204 = 4*y, -8 = s - s - 12*y + 10*y for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 48344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 d when four letters picked without replacement from zzqnzdzqllqznz.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -34075?\nAnswer: -10222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 - 77*p. Let f(a) = -315*a + 111. Determine n(f(k)).\nAnswer: 793800*k**2 - 535185*k + 90021","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:41 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12 - (-5)\/((-140)\/21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/60 - 11*v**4\/8 - 10*v**3 + 3*v**2 - 2. Is t(36) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442 (base 5) to base 12\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5)\/u)\/u*u**(-28)*u)\/(u**(5\/6))**(-20\/11) assuming u is positive.\nAnswer: u**(-4337\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 - 5*q + 1. Let h(l) = l**2 - 2*l - 4. Suppose -2*b = -7*b + 20. Let k be h(b). Is g(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/7 + 2*f**4\/7 + 6*f**3\/7 - 10*f**2\/7 + 4*f\/7 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102226 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1696*c + 16807*c - 21*c**2 - 50*c**2.\nAnswer: -71*c**2 + 15111*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:09 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**4 + 6*z**2 + 6*z + 1. Let q(n) = -8*n**4 + 5*n**2 + 5*n + 1. Let t be 34\/(-6) - 1\/3. Let r(w) = t*q(w) + 5*f(w). Differentiate r(x) wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8.1. What is the second biggest value in -1, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 + 7*v**2 + 9*v - 25. Give a(3).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 20 (b) -0.1 (c) -1 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m = 90*m + 5394. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 9*w**2 + 32*w + 18. Let o be q(-12). Let n(l) = 0*l - 66 - l + o. Determine n(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000322 (base 4) to base 3\nAnswer: -102022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - 0.86. Let y = 0.5 + -0.3. What is the nearest to x in 2\/3, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301038913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 786*u**2. Let g(j) = -1086*j. What is g(w(l))?\nAnswer: -853596*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -12*l + 4*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w + 119*w = 5328. Solve 16*v - 33 = w for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j + 2. Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, c: 5, h: 1, t: 2}. Give prob of sequence cvvh.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4 = -4*u, 5*u = -18*z + 21*z - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456882 is divided by 5435.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092067234 to the power of 1\/3, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/490*2\/2)\/(8\/16)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10284 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x - 22. Let f(y) = -13*y**3 + 131*y**2 + 5*y - 84. Let b be f(10). Calculate the highest common factor of x and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2293350*j**2 - 6976489?\nAnswer: 4586700*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18944 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60324349913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 24*l**2. Let a(r) = -r**2. Let g(j) = j**2. Let w(k) = 2*a(k) + g(k). Give -c(u) - 6*w(u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 206932556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l + 7. Calculate u(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -118*a + 103*a. Solve -4*u = -4*k - a, 0*k = 3*u + 4*k + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4187 + 1622. Let s = 8689 - b. What are the prime factors of s\/63 + 2\/7?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*f = -11, -2*f = -2*v + 10 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 0, 0 = -5*c - 4*r + 4 - 63. Let u be 0 - (-5)\/(c\/(-9)). Factor -1\/3 - a**2 + 1\/3*a**u + a.\nAnswer: (a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188462914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 240*h + 275. Let z(b) = 20*b + 23. Let p(x) = -2*o(x) + 25*z(x). What is the first derivative of p(k) wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*v + 1 = 4*l, 0 = -5*l - 2*v - 15. Is l at most 2\/829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88849.4128 + -88516.3. Let b = c + -333. Let d = b + -0.081. Round d to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.78426mm in centimeters?\nAnswer: 8.878426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**2 - 34*y**2 - 103*y + 103*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56729921 + 10329921. What is b rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)*1 + sqrt(96) + sqrt(96))*-3 - sqrt(96)) + sqrt(96) + -3*sqrt(96)*-2)\/(-5*-2*sqrt(108) - -3*-1*sqrt(108)).\nAnswer: -2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 3*q + (-6 + 4 + 0)*(-5*q + 2*q + 2*q) - 3 + 3 - q)*(-3*q**2 + 6*q**2 + 3*q**2)*(-2*q + 3*q + q).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 261 = 27*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 6*h + 2*h)*(-3 + 0 + 2) + h - 2*h + 3*h + 2*h + 5*h - h to v*h + g and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 184*w - 20 = -186*w, -5*w = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90858170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:09 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.386821cm to nanometers.\nAnswer: 93868210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0602104 - -195.\nAnswer: 194.9397896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -88. Which is bigger: -170\/27 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, -3*p + s + 2*s + 12 = 0. Solve -10 = p*g + 5*o, -o + 10 = -6*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -88*j + 84*j. Suppose 4*m + 3*z + 140 = 0, -4*m + 2*z - 38 = 102. Let a = j + m. Calculate the lowest common multiple of 21 and a.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 319764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(150)\/(6*(sqrt(3) + sqrt(3)*1) + sqrt(3)) + (sqrt(3200) + 2)*-4.\nAnswer: -2075*sqrt(2)\/13 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 2, 2\/43, 7.8932?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1076 or -1078?\nAnswer: -1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (118\/(-489))\/((-212)\/(-159)) and -41\/54.\nAnswer: 8802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1885215, 3770400, 5655585?\nAnswer: 7540770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 4*h + 2*h)*(14 - 5 - 1).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 107\/4, -3 in increasing order.\nAnswer: -3, -0.3, 5, 107\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 232 = -1079. Let b = i + 75. What is the remainder when (-4)\/(-8)*-5*44\/b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800546409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k = -15. Let j be ((4*k)\/(-3))\/(-1). Put j, -2, -1 in decreasing order.\nAnswer: -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/8 + 2091*h\/8 - 2087\/2 = 0.\nAnswer: 4, 2087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(3\/(-12)). Suppose k = 4, 0*o - k + 48 = y*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 11. Let o be ((-3)\/(-2))\/(((-6)\/2)\/(-18)). Let i be p(o). Is -2 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 1\/5, 1\/6, 18, -921?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjozrzieojzrz. What is prob of picking 3 o and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Suppose -3*a - 5*y + 6 = 0, -4*a + 4*y + 10 = a. Let h(x) = x**3 + 3*x**2 - 2*x - 1. Let t be h(-2). Solve a*k + r = t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 5 (b) -5 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 2.1 (c) -5 (d) -13\/8 (e) 3 (f) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 584855172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 88 - 14 - 158*c - 43 - 29.\nAnswer: -158*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 19*a**5\/60 + a**2 - 19*a. Let h(m) = 2*m - 24. Determine r(h(b)).\nAnswer: 76*b**2 - 1824*b + 10944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 12*t - 25*t + 64. Let y(o) be the first derivative of 0*o - 8\/35*o**5 + 5\/14*o**4 + 0*o**t + 1\/21*o**6 - 2 - 4\/21*o**3. Factor y(b).\nAnswer: 2*b**2*(b - 2)*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3)*(-48*m**4 - 3*m + 53*m**4 + 2*m - 3).\nAnswer: 10*m**5 - 2*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffbfhbrhhbbbfhrb. Give prob of sequence bbf.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)\/n)**2)**(-13) assuming n is positive.\nAnswer: n**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 61.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.85*63.86.\nAnswer: 118.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -n - 3*n. Let x(q) = 634*q + 3168. Let g be x(-5). Are n and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 19*j + 23. List the prime factors of v(15).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-4724)\/52) + (-4)\/(-26). Are 0.21 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = s - 5*n - 4, s + 3*n - 11 = 0. Let g be (-2)\/s*(9 - (-20)\/(-4)). Solve -5*p + g = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*(-42)\/(-6)*(-20)\/120?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335641, -335651, -335663, -335677, -335693, -335711?\nAnswer: -335731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2163)\/10506)\/(4\/(-36)) - (-6)\/(-4)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-10) - (6 + -4) and 15\/(-16) + 9\/(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) 2\/3 (c) 1\/6 (d) -0.177\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823 bigger than 4823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58067872.\nAnswer: 2, 89, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 1, g: 1, d: 1, o: 2, i: 1, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(304) + (2 + sqrt(304) - sqrt(304)) + 3 - sqrt(304) - ((sqrt(304) - 1*sqrt(304)) + sqrt(304))*-5)**2*-6.\nAnswer: 4800*sqrt(19) + 183000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2294 - 346 = -6*x. Let v = x + -881\/2. Which is greater: -93 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(700) - (sqrt(700) + -2)) - (-2*(-2*sqrt(77) + sqrt(77)) - sqrt(77) - sqrt(77))\/sqrt(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {u: 5, v: 1, l: 3, z: 4, f: 1, r: 6}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 4*o - 2. Let q be f(-3). Suppose q*z - 16 = 2*m, -5*z + 8*z = 4*m + 7. Factor -2*c - 2\/3*c**m - 4\/3.\nAnswer: -2*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -114750.\nAnswer: -114747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -667, -710, -753, -796, -839, -882?\n\"Answer: -43*v - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 4. Let m(g) = 7*g**3 - g. Let r(f) = -f - 12. Let o be r(-13). Let y be m(o). Does 14 divide u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 4, k: 2, e: 7}. Give prob of picking 2 z and 1 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45734*-16.\nAnswer: 7.31744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 775, 2618, 4463, 6310, 8159, 10010?\n\"Answer: x**2 + 1840*x - 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0503461 hours in seconds?\nAnswer: 181.24596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 19130072*o\/5 - 45744956840648\/5.\nAnswer: -2*(o + 4782518)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -795960846*w + 1334931160.\nAnswer: -795960846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + f + 2. Let o(z) = 5*z**2 - z - 3. Let a(k) = -5*o(k) - 6*v(k). Calculate a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-1.15.\nAnswer: -25.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98.6883 kilometers?\nAnswer: 98688.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13\/26*4\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(11) + sqrt(11) + 2) + sqrt(11) + (0 + (sqrt(22)\/sqrt(2) - sqrt(11)) - sqrt(11)) + -1.\nAnswer: 7 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -182, -390, -606, -836, -1086?\n\"Answer: -p**3 + 2*p**2 - 207*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n + 5*s, 4*n - s - s = 10. Let c(t) = -t + 22. Calculate the remainder when c(13) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 5*a**7\/7 + a**3 + 3. What is the third derivative of b(d) wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2575 + -1199. Suppose -2*d + 6*d = t. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105698 to five decimal places.\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 - 18 - 0\/(-1). Let b(a) = a**2 + 2*a - 2. What is the units digit of b(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - -47. Let b = -23 + c. Let -51*m**2 + b*m**2 + 5*m**3 + 4*m**4 + 3*m**3 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f - 84. Let l be o(-6). Let j = -135 - l. Solve 2*c = -j - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 35*r + 2284. Calculate m(32).\nAnswer: 1356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1\/18, 3 in ascending order.\nAnswer: -30, 1\/18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 5222107273.\nAnswer: 5222107277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2. Let j(x) = -226*x**2 - 6. Determine -j(i) + 3*z(i).\nAnswer: 229*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26335 is divided by 1050.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 5*r + 2. Let u be i(-3). What is the second derivative of -2 + 2 + 3*x**5 - 5*x**u - x wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*2 - 1. Let f = 5 + d. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21. Let h(b) = -b + 1. Let c(f) = 5*h(f) - l(f). What are the prime factors of c(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688943577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 70*v**2 - v. Let c(t) = -t - 67. Calculate c(m(n)).\nAnswer: -70*n**2 + n - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - 228\/10. Let l be 304\/(-17) + (371\/(-119) - -3). Let t = l - x. Calculate the smallest common multiple of t and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 8214 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2\/5 + 63*f\/5 - 12 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -11\/96, 0.4 in ascending order.\nAnswer: -2\/7, -11\/96, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26674516\/105 + -254041. Let i = s + -26\/5. Calculate the common denominator of i and -99\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-357))\/1*3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + -3*sqrt(77) - sqrt(77))*4 - sqrt(77)) + sqrt(77) + -1*sqrt(77)*4 + sqrt(77))\/(6*(sqrt(7) + sqrt(7)*1) - (sqrt(252) - sqrt(252)*-3)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 12*m**2 - 17*m - 17. What are the prime factors of r(8)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -130*s - 4901. Let y be i(-32). Sort 4, 0, 1, -5, y.\nAnswer: y, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*k + 243 = -13*w, k = -1. What is the smallest value in w, 5, 2.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k**2 - 2)*(1868*k**2 - 163679*k + 163679*k)*(2*k - k + 0*k).\nAnswer: -1868*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/7 + 222*n**4\/7 + 2244*n**3\/7 - 16362*n**2\/7 + 12393*n\/7 + 30780\/7 = 0. What is n?\nAnswer: -60, -19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -1035 + 3060. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 223910025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 2*v + 128. Let r be v\/4 + -1 + -3. Suppose -r*q = -5 - 7. Solve 4*u - q = -5*d, -d + 9 = -u + 6*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (69\/299*(-8)\/6)\/2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 - 193. Let h = 1 - 1. Which is the third smallest value? (a) t (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287.6 + -31.4. Let l = -318.8 - y. Let u(m) = -m - 5. Let q be u(0). Sort q, 0.1, l, 1\/11 in increasing order.\nAnswer: q, 1\/11, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:58 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k - 1. Suppose 0 = -o + 6*o. Let m be (4 + (o - 1))\/1. Let p = m + -5. Determine s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 4*y - 3. Suppose 34 - 3 = 3*l - 4*w, -4*l = -5*w - 40. Let d be (1 - 2)*(-2 + l). Does 17 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*h**3 + 1909*d**3*h - 4*d**2*h**3 - 16*d**2*h**2 + 2*d**2 - 2*d*h**2 wrt d?\nAnswer: -12*h**3 + 11454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, 2\/19, -31759\/134 in ascending order.\nAnswer: -31759\/134, -1\/6, 2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1687*q + 16. Is 9 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -483, -965, -1449, -1935, -2423, -2913, -3405?\n\"Answer: -z**2 - 479*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 15 = 3*l, 25*h - 4 = 4*l + 21*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 9. Suppose -9*z - 384 + 42 = 0. Let t be 19\/z + (-60)\/8. What is q(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 + 29*h**2 + 14*h**2 - 78*h**2 + 16*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110001000010101 (base 2) to base 15\nAnswer: -768e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-7)\/(-18) - 25885\/310*(-1)\/(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 16)\/1*(-300)\/(-375)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*4*3\/18. Suppose -3 = -17*j + 16*j. Find z, given that 2\/3*z**2 - w*z**j + 2\/3*z - 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -831 - -0.2844.\nAnswer: -830.7156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 7*g + 2. Let p(k) = -2*k**2 + 9*k - 7. Let i be p(4). Let u(o) = -o**2 - o - 1. Let y(l) = i*u(l) + z(l). Calculate y(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130195909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -4\/9 (c) -10\/9 (d) -1250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*a + 13 + 2 = 0, 5*p - 3*a = 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r**2 + 10*r**2 - 48*r**2 - 6*r**2 in the form t + g*r + a*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65283 and 940.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kml when three letters picked without replacement from auuaulukkukukmuk?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a2b0 - -2a0?\nAnswer: -11a010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -192\/1903?\nAnswer: -192\/1903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 2 + 3*q - 6*q)*(0*q - q - q) + (-3 + 0 + 2)*(-4*q - q**2 + 4*q) to t*q + m*q**2 + z and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4881 divided by -11\nAnswer: 4881\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*v - v - 4*v)*(1 - 1 - 1) - 1 + 0 + 2 - 29*v in the form q + n*v and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8286098 + -3251\nAnswer: -8289349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*v**5 + 2*v**4 - 4951*v**2 + 4*v - 122145.\nAnswer: 1460*v**3 + 24*v**2 - 9902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -5. Let s = h + -39. Let w = s + 39.5. What is the third smallest value in w, -1, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/43 + -185\/301. Let y = -155 + 317\/2. Let f = -43\/14 + y. What is the nearest to -1 in 4, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -12) + (1 - 1) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -5\/4, -0.3, -4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00109788 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*v - 767*v - 3346*v - 1934*v as h*v + x and give h.\nAnswer: -5926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -t + 55. Let m = -22 - -13. Let u = m + 13. Solve -t*f = -3*c + 22, -u*f - 20 = 4*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 1\/28 (c) -1.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 6, x: 3, i: 2, b: 1}. Give prob of sequence iio.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-20)\/9 - (-1924)\/333. Let a(u) be the second derivative of -u**5\/20 + 2*u**4\/3 - u**3 - 7*u**2\/2 - u. What is a(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6543 + -11?\nAnswer: -6554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 89864 (base 12) to base 16\nAnswer: 2c98c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26163 (base 8) in base 9?\nAnswer: -16543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6273\/4 + -458029\/292. Find the common denominator of -30\/7 and u.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkttkttttt. Give prob of picking 2 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18*(-390)\/260*111.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489.98 + -462. Let m = x - 28. Let o = m + -2.98. Which is the third smallest value? (a) 3 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 80. Let g be (-8)\/(-32) + (-6)\/c. What is the closest to 0.1 in g, 4, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 + 0 = 0. Let t(a) = -3*a + 7. Let w be t(j). Let k = w + 24. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**3 + 3*d**2 - 8*d - 6. Let j(b) = 6*b**3 + 5*b + 4 + 2*b**2 + 2*b**2 - 6*b**2. Let s(g) = 3*g - 37. Let t be s(15). What is t*j(n) + 5*m(n)?\nAnswer: 3*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 5*t**4\/24 + 65*t**2. Let v(q) = 11*q + 1. What is v(b(g))?\nAnswer: 55*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjmm when four letters picked without replacement from jmmjrjmmjjmjjm.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + (2 - 1 - -3) + (9 - 11) + -11.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 - 4*h**3 + h**3 + (4*h**2 - 3*h**2 - 2*h**2)*(-5*h + 3*h + 3*h) - 13*h + 3*h**3 - 2*h**3 - 3*h.\nAnswer: 2*h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*24\/84*(-14)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -105. Let f(w) = 30*w**2 - 2*w - 1. Let a be f(u). Let i = a + 37. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07117 and -88862.9.\nAnswer: -88862.82883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let q be (1 - 2)\/(-5 + 4). Let j be q\/3 - (-28)\/(-12). Determine f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -25*j**3 + j**2 - 2*j + 1. Let p be v(1). Let d = p - -124\/5. Which is the smallest value? (a) 0.1 (b) -3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54\/7 + -242\/35. Let v = -19.344 + 17.4. Let l = v - 0.056. What is the nearest to l in -0.5, 4, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13077, -26152, -39227, -52302, -65377?\nAnswer: -78452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180.4 + -180. Let i = 22 + -15. Let r = 6.6 - i. What is the second biggest value in q, -1, 0.5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43840 divided by -548.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -1294*i**3\/3 + 31*i**2\/2 + 99*i. Is s(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 34 = -5*c, -3*j = 6*c - 4*c - 19. Suppose 2850 = 5*i - c*t, 4*t + 480 = -2*i + 1596. What are the prime factors of i?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -36 + -4 + 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1. Let c(l) = -2*l**3 - 2*l**2 + l + 2. Let q be c(-1). Let i(y) = 2*y - 6. Give q*i(g) + 5*n(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1. Let w(r) be the second derivative of -r**3\/6 - r**2\/2 - 224*r. Determine -m(s) - 2*w(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1ea525?\nAnswer: 1ea525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and ((-10422)\/45 + 16)*(2 - 7)?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/6 + 10*a**3\/3 + 11*a**2 - 872*a. Calculate r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8043453.32 rounded to the nearest 100000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 15 = -14*y. Suppose -s - 4*d + 3*d + 49 = 0, y*d = -3*s + 142. Let c = 28 - 12. Calculate the remainder when s is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + b - 9*b**2 - 2*b in the form w*b + q*b**2 + h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 264.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z + 1. Let u = -40 - -47. Let o be j(u). Let t(i) = -i**3 - 6*i**2 - 15*i - 6. Does 28 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohhohoohhhhoooo. Give prob of sequence ho.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let n be (-84)\/(-2*q\/(-4)). Suppose 11*l - 6*l - 60 = -4*b, 3*l + b - 36 = 0. Calculate the greatest common divisor of l and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*h = 45 - 9, 84 = -4*g + 4*h. Suppose -18*f - 147 - 33 = 0. Let c = f - g. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1047 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70916 and 673702?\nAnswer: 1347404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o)\/o)**(-1\/19)\/(o*o**(-1\/2))**(-1\/44)*(o\/(o*o**2)*o*o\/o**(-7\/4))\/(o*o**0\/o*o\/(o**(-2\/5)*o)) assuming o is positive.\nAnswer: o**(33263\/25080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 0.1, -0.4, -1\/80821?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f - 11. Suppose -g - u = 6, -3*g + 3*u = -2*g + 14. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 4*q + 4*q)*(2*q + 4*q - 7*q) - q**3 + 3*q - 3*q + (-1 - 1 - 1)*(q**3 + 2*q**3 - 5*q**3) + (154*q**2 + 29*q**2 - 24*q**2)*(-3*q + q + 0*q).\nAnswer: -315*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*-1*3*-1. Calculate the common denominator of (-17)\/g - 10\/15 and -23\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 15*p + 1. Let i(g) = -g. Let a(l) = -492*l - 5411. Let z be a(-11). What is z*v(u) + 6*i(u)?\nAnswer: -2*u**2 + 9*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -43. Sort n, -2, 3.\nAnswer: -2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**6\/40 + r**5\/60 + 3*r**2\/2 + r. Let j(l) be the first derivative of m(l). Find the third derivative of j(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 974*t + 1241 - 1241 - 185*t in the form r*t + x and give r.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 plus -4.6372?\nAnswer: -5.3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75, -71, -65, -57, -47?\n\"Answer: i**2 + i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-4\/7)\/w*w)*w*w**(-3\/7))\/((w\/(w\/(w**(2\/3)\/w)))\/((w\/(w\/(w\/w**(-5))))\/w)))**47 assuming w is positive.\nAnswer: w**(7379\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6776, 7415, 8084, 8783, 9512?\nAnswer: 10271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 7*i**2 + 2*i - 10. Let o be b(7). Find the second derivative of f + 32*f**4 + 6*f - 37*f**o wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2255 + v - 132 + 769 + 1504.\nAnswer: v + 4396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -36, -37, -24, 9?\n\"Answer: c**3 - 2*c**2 - 10*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73265093 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**3 - 18*g**3 + 0*g**2 - 2 + 3*g**2 + 10*g**3. Suppose 5 = 4*q + 3*k, -k - 2 = 3. Suppose 2*d = m - 1 - 3, -2*m = -3*d - q. Determine j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(((i\/i**(2\/5))\/i)\/i))\/i)*i)**47*i**(1\/5)\/(i**(-1\/11)*i) assuming i is positive.\nAnswer: i**(1512\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -68, -6, 3, -4 in decreasing order.\nAnswer: 3, 0, -2, -4, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2937034372.1300096 + 2937016822. Let p = c + 17550. Let n = -0.13 - p. Round n to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124709 and 24804.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -43 + 87 + (4 - -3)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**6*u**2 + 2*o**4 - o**3*u**2 + 134*o**2 + u**2 wrt o?\nAnswer: 960*o**3*u**2 + 48*o - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007399025 to five dps.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-80)\/(-30)))\/(1\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t + t. What is the third derivative of 5*x**3 + 0*x**t + 0*x**2 + 5*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2348 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 30. Put 31, f, -2 in descending order.\nAnswer: 31, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = -5*f. Let b be ((-10)\/f)\/(10\/(-15)). Suppose 0 = -2*c - 4*m + 8, -5*c = -c + 4*m - 12. Calculate the highest common factor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-26)*t**6)\/(((t\/t**33)\/t)\/t**15))**23 assuming t is positive.\nAnswer: t**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - -1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78, 84, 76, 48, -6, -92, -216, -384?\n\"Answer: -y**3 - y**2 + 16*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -249458355 at most as big as -249458357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + -28b31?\nAnswer: -28b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3288507 + 51024325.\nAnswer: 54312832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -0*v. Is (-708)\/(-15) - 2\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 37204 = -10*n + 2*f, 6*n - 4*f = 55834. What are the prime factors of n?\nAnswer: 3, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 39. Let d be 26\/6 + 2\/(-6). Suppose g = s + d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34542436 to the power of 1\/2, to the nearest integer?\nAnswer: 5877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/36)\/(1\/(-18))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(8\/9)*164\/(-82)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = -3*x + q, -4*x + q = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143\/2 - -64. Let c = j - -8. Put 4\/7, 0.3, c in descending order.\nAnswer: 4\/7, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 186, 682, 1668, 3312, 5782, 9246, 13872?\nAnswer: 19828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + s - 9. Let l(b) = -b**2 - 4. Let d(x) = 6*h(x) - 13*l(x). Calculate d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 10*q**2 - 12*q - 5. Let t be b(10). Let l = 257 + t. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**3 - 45*c + 45*c.\nAnswer: -61*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -1293*t**5\/20 + t**4\/12 - 47*t**2 + 2*t + 63. What is the third derivative of l(j) wrt j?\nAnswer: -7758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/34921008 and -121\/29544.\nAnswer: 34921008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/14 + (-880)\/(-154).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16599.4 - -1065067615\nAnswer: 1065084214.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 3 - 30)*(2*t + 0*t - 3*t) in the form p*t + g and give p.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 0*f)*(-5 + 4 + 5)*(2 + 4 - 4).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3715, -57, 13, -5 in descending order.\nAnswer: 3715, 13, -4, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 196305 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*l - 16, -4*l - 10 = -2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1 + 4 + 1)*-2)**2.\nAnswer: 528*sqrt(3) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a + 50*a + 68*a + o + 108 = 2*o, -4*o - 48 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m - 6. Let n be k(3). Suppose n = 4*i - i - 3*p - 567, 2*p = i - 189. Let y = i + -64. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/11*(24442\/440)\/101?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1301, -1302, -1303?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 - 5*p + 7. Calculate the remainder when 11 is divided by q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 17*k - 57. Let n be b(-12). Suppose 0 = 2*o - n*c - 930, -188 = -5*o + 3*c + 2119. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13797\/(-252) - 68 - -123?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -296\/3. Let q = -5 + 5.1. Which is the third smallest value? (a) q (b) u (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:02 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 61526 = 363282. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1377876 at most as big as -1377877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (-4*(sqrt(128) + 1) - (sqrt(128) + -3 + -4))))**2*-4.\nAnswer: -51600 + 6400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2, -0.3, 3, -0.022?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-165)*(-36)\/(-44)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 380\/272*(-3)\/(-6) and -97\/18?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*c**2 - 317*c**2 + 43*c**2 + (3*c - 5*c + 0*c)*(c + 0*c - 3*c).\nAnswer: -241*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/y**(-4\/3)*y\/(y**15\/y)*(y\/(y\/(y\/y**(-2\/39)*y)))\/y assuming y is positive.\nAnswer: y**(-47\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, 77303 in descending order.\nAnswer: 77303, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/965 - -961\/1930. Determine a so that -o*a**2 + 0 - 1\/2*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62.3 - -65. Let a = z + -3. Let l = 2.9 - 3. What is the closest to l in a, 2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**2 + k + 0*k**3 + 0 - 1\/12*k**4. Let f(r) = -r. Calculate f(n(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 6*v - 1. What is the remainder when l(6) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 864437190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 30*q + 3. Calculate b(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443b (base 14) to base 7.\nAnswer: -46304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1569284.2551705 and 0.4?\nAnswer: 1569284.6551705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1844*z - 2*z**2 - 1844*z - 3*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-4\/25)*w*w)**46 assuming w is positive.\nAnswer: w**(5566\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from uhbu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*k - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**3*x**3 - 6955*p**3 + 9232*x**3 wrt p?\nAnswer: 6*p**2*x**3 - 20865*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -1681, -2519, -3355, -4189, -5021, -5851?\nAnswer: -6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1240+-1190\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1345*r**2 + 1780*r + 1778. Calculate c(-1).\nAnswer: -1347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -124. Let o = g + -475\/6. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-69)\/(-5))\/((-1)\/(-1)))\/(2101\/(-10505)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576.002982 + -576. What is r rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-35))\/((-460)\/4025).\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5545 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*k + 2 - 26, k + 30 = -5*d. Let i = 1603.9 - 1604. Sort i, -1, d, 4 in increasing order.\nAnswer: d, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 434, 650, 864?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6166*a**4 + 839*a**2 - 6.\nAnswer: 147984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574 by 12864.\nAnswer: 287\/6432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-9)*4*(-1)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*f**4 - 9*f**3 + 9*f**3 + 6*f**4 + (3*f - f**3 - 3*f)*(-2*f + 2*f - f).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4873*z**2 + 36*z - 36*z.\nAnswer: 4873*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25575 divided by 18082.\nAnswer: -25575\/18082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - j**3 + 5*j**3 - 2*j**3 + j**5 - 2*j**2 + 2*j**2 + (-371 - 38*j**4 + 371)*(-j + 1 - 1).\nAnswer: 38*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -8. Suppose -o + 93 = 3*x, -3*x = g*o - 4*o + 81. Does 15 divide -5*(o\/(-15) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 4*a + 60, 1246*t - 4*a - 75 = 1251*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413146.\nAnswer: 2, 251, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4\/5, 59779, -2 in descending order.\nAnswer: 59779, 4\/5, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 3355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1119, 1116, 1113, 1110, 1107?\n\"Answer: -3*m + 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*(b**0*b)\/b*b*b))\/(((b**4*b)\/b)\/b))**(-7\/2) assuming b is positive.\nAnswer: b**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 3:51 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 460*f - 455*f - 1174, -2*j + 5*f + 602 = 0. Calculate the highest common factor of j and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 3*t = 10*y - 15, 5*y - 4*t = 64. What is the least common multiple of y and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**3 - 3*o**3 - 5*o**4 - 5*o**2 + 0*o**4 wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*c**2 + 133*c**2 - 99*c**2.\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 0*z**3 + z**3 - 48*z.\nAnswer: z**3 - 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**7\/840 - j**6\/360 + j**5\/120 - 13*j**4\/12 - 16*j. Let k(a) be the third derivative of p(a). Determine k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78391, -82076, -85761?\n\"Answer: -3685*c - 74706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178948081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 2 = 0, -4*z - o = -5425. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -8, 3 in ascending order.\nAnswer: -11, -8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 12*y + 1. List the prime factors of q(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 17*j - 385. Let i be c(30). Let t be (3\/2)\/((-3)\/(-4)). Solve 0 = -2*a - 4*r + t, -i*a - r = 4*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2 - 2 + 2*w. Let n(g) = -g + 12. Let d be n(12). Let y(l) = l - l + d*l - l. Determine y(r(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose -3*i = 3*w, f*w = 5*w - 2*i - 35. What is the third derivative of -3*z**6 - z**6 - 2*z**2 + w*z**6 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = 2*k. Let f(s) = -s + 19. Let v(x) = -x + 22. Let j(c) = 4*f(c) - 3*v(c). Let r be j(k). Put -2, -1, -3, r in ascending order.\nAnswer: -3, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48161636099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8669 + 0.7669. Suppose 0 = -5*s + 2*s + 6. Let t be 1\/(1\/s*1). Which is the third biggest value? (a) t (b) i (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 9*j**2 + 2*j + 11. Let x be ((-3)\/(-2))\/(11\/66). List the prime factors of p(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = 5*n, 2*n + 4 = -3*t + 3*n. Let w be (-5)\/t - (-3)\/2. Solve w*u + 36 = 4*h, u - 3 = 3*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*f + 72, o + 3*o = -5*f + 171. Suppose -4*d + 11*d - f = 0. Solve 14 = -d*m + 4*p - 5, p = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 2*i**2 + 2*i + 5. Let v be s(-4). Suppose -v = -6*o + 291. Let k = 10 + o. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006692 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 3*z + 48. Suppose -z*d = -11*d. Suppose d = 2*n + 2*u - 26, -2*u + 4*u - 38 = -3*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*n = 18, -n + 46 = -i + 6*i. Let v = 4 - i. Let l = 9 + v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39194617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*g - 8, -5*g = -c - 2*c + 61. Calculate the remainder when 41 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -120, 1\/3, 14, -2\/13, 2\/19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6186415 and 278?\nAnswer: 278.6186415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-5)\/(-10)*-1. Let a = -3 + i. Solve 14 = -4*v - a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 489 + -485. Suppose -y - y + 4 = 0. Solve -3*f - 21 = -s*i, -4*f + y*i = f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 87*o. Suppose 520 = 13*d - 5*d. Let j(r) = -71*r - d*r - 69*r + 203*r. Determine m(j(n)).\nAnswer: 8*n**2 - 174*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:58 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:44 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240552079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002544325 rounded to 7 dps?\nAnswer: 0.0002544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-35)\/(-4) - 7\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 8) in base 7?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (88\/(-10) + 7)*(3 + 12) + -9. Which is the closest to z? (a) -2\/77 (b) 1\/4 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 3360\/10301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -2*w. Find the second derivative of 8*x + 2*x**3 - 6*x - w*x + 3*x**3 wrt x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 104 = 0. Suppose -3*g - 2*f - 3*f + l = 0, -12 = 4*g - 5*f. Which is the third biggest value? (a) g (b) 4 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(3 + 0 + 2)*(510*w + 154*w - 192*w).\nAnswer: -2360*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 8 - 16. Solve -f*v - 13 = -5*g, 5*v + 0*g - 10 = g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 + -1 + (21 + -56025)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*-3*4 - sqrt(972))\/(sqrt(729) + (-1*sqrt(729) + sqrt(729))*-4 + sqrt(729)))**2.\nAnswer: 169\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132696 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxikyyymnxymxxxikmxn. Give prob of picking 1 m, 1 y, and 2 i.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -215034?\nAnswer: 215043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - (-34 + 38) - 24) + 0\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1185768*z**4 - 10*z**2 + 213597186*z wrt z.\nAnswer: -14229216*z**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:09 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g + 2*g + 3*g + (2*g + 0 + 0)*(1 + 0 + 1) + (g - 4*g + 2*g)*(-1913 + 3298 - 1875).\nAnswer: 493*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18428 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 24*q**2 - 16. Let u(j) = 8*j**2 - 5. Let i = -643 - -659. Determine i*u(p) - 5*h(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 5*n**2 - 153*n - 90. Calculate r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1740000 = 2*u, -6295 - 1037705 = -3*s + 4*u. What is s rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 5*d**2 - 5. Let o(v) = v**2 + 1. Give a(m) + 5*o(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*v + 3. Solve d + d = -v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37668 is divided by 1215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28435268?\nAnswer: 2, 23, 309079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - (2 + 3)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/14*24\/(-9). Suppose -l*o + 7506 = 6*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528733 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*a - 35, 3*a - 24 = -a + n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, 1, -14 in descending order.\nAnswer: 1, 1\/3, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -811, -3, -20 in descending order.\nAnswer: -3, -20, -23, -811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/16 and 23\/348?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-21)*10*(-6)\/10. Solve a = -3*b - c + 19, -b + 4*c = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 2, w: 1, v: 1, f: 2, c: 4}. What is prob of picking 2 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 8. Let f be l(-8). Is f at least -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*g + g = -122, -5*k + 610 = -4*g. Suppose 2*j = -k - 24. Which is smaller: j or -72?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-7773)\/41456.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111922099 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8) + (-1)\/4. Let k be ((-21)\/9 - r)*-3. Suppose 50 = k*b + b. Calculate the remainder when 18 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5. Let c be 0\/(-2) - 33\/11. Sort p, c, -2, 2 in decreasing order.\nAnswer: 2, p, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/13 + 2 - 0. Let w = 17\/65 - q. Is -0.1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3 + 5 - (2*sqrt(51))\/sqrt(3)) + 1 - ((sqrt(51)\/sqrt(3) + 2 - (sqrt(2448) + 3*sqrt(2448))) + 1)**2.\nAnswer: -37553 + 281*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/11)*b**4*(b*b**(-1\/2)*b*b)\/(b\/(b**10*b)) assuming b is positive.\nAnswer: b**(361\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.898 and 0.3.\nAnswer: 2.6694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 2*d. Suppose i + 4*r = -d, i - 2*i - 3 = 5*r. Let v(b) = 6*b**2 - 11*b**2 + i*b**2. Let u(l) = 10*l. Give v(u(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 532\/8)*(-8)\/(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 15*z - 4. Let u be i(-15). Let c be (-459)\/15 + u\/10. Let d = -29 - c. Solve -3*b - 4 = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j + 3. Let v be z(2). Let d = -5 + v. Suppose g + g - 68 = d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6300?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/17, 1, -4\/3, -1.2 in descending order.\nAnswer: 1, 2\/17, -0.3, -1.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28610\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 - 7*v - 7. Let x(m) = 6*m**2 - 4*m - 4. Give 4*c(t) - 7*x(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - y + 538 = -3*y, 3*d + y + 404 = 0. Does -135 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 4*u, 0*v - 6*v + 4*u = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-35 + 28 + (0 - -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.2 - -6. Let w = z + 3.1. Let n = 0.09999983 + w. Round n to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -9 + -11 + -10 - (-2 - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {c: 1, g: 2, x: 2, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103549221 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + h - 6*h)*(-4 + 4 + h + (0 + 1 + 0)*(-2*h + 0 + 0)) as t*h + o*h**2 + n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 4*h + 5. Let z(m) be the first derivative of -m**2 + 10*m + 6. Let o be (-7)\/(-2 - (-2)\/2). Let s be z(o). Calculate p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 5. Let m be j(-8). Suppose -21 = -p - 2*k, 0 = -4*p - p - m*k + 70. What is the remainder when 20 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 6. Suppose 5*f - 40 = -k*j - j, 2*j - 10 = 0. Suppose f*t - t = 16. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11044 - 11044.2. Which is the nearest to 1\/2? (a) g (b) 1\/3 (c) -13 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 226 + 95. What are the prime factors of m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1637, -6563, -14773, -26267, -41045?\n\"Answer: -1642*a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(1989\/(-68)) - 13\/(-72))*(-5 + -7).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 66. Suppose -3*j + 5*s + 3 + 3 = 0, 0 = -3*j + 3*s. What is the remainder when p is divided by (-24)\/(-3) - ((-6 - j) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f - 36747 = -97*f. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-5 - (3 + -5)). Let b(a) = 961*a. Let j be b(1). Suppose -44 = -k*y + j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3896.64 months in decades?\nAnswer: 32.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d1d6 (base 14) in base 4?\nAnswer: 102023220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 314321, 628638, 942955, 1257272, 1571589, 1885906?\n\"Answer: 314317*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16992, 17174, 17356, 17538, 17720, 17902?\nAnswer: 18084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(24)\/(sqrt(12) + sqrt(12) + 2*sqrt(1200)) + (-4*(sqrt(2) + -2) - -1*sqrt(288)))**2.\nAnswer: 1770*sqrt(2)\/11 + 55529\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**8\/84 + c**7\/30 + c**6\/45 + 3*c**3 - 2. Let s(i) be the third derivative of l(i). Factor s(y).\nAnswer: 4*y**2*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 2. Let p be a(-3). Let f be 6 - 3 - (p - -1). Find the second derivative of 4*y**5 - 2*y**5 - f*y + y - 3*y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30)\/(72\/80)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 11. What is the units digit of n(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*x = 308*x - 78*x + 5*p - 19, 0 = -5*p + 5 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*o - 360*o - 800868*o**3 - 800862*o**3 + 1601731*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**4 - 264*x**3 - 7593*x**2 - 7326*x = 0.\nAnswer: -22, -1, 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 21*o**2 - 42*o + 72. Give q(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*u = -36, -28*u + 39 = -2*c - 33*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/4 + -9\/20. Which is the smallest value? (a) 22 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 10*z + 18. Let p(m) = 8*m - 20. Calculate -4*a(c) - 5*p(c).\nAnswer: 4*c**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*i + 5. Let p be i*214 - (-2 - -1). Suppose -p = -5*j - 50. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 0*v**2 - v**2 - v**2 + 599*v - 2 - 598*v + 0*v**3. Let q(j) = -j**3 - j - 1. What is -c(t) - 2*q(t)?\nAnswer: t**3 + 2*t**2 + t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8897540*c + 17795090*c - 8897539*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from iihhchchhihciii?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588 divided by 6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1\/3, -16367, -0.1 in descending order.\nAnswer: 3\/7, -0.1, -1\/3, -16367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -1 + (5 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 12 = 0, 25*x - 22*x - 32 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i - 3*w + 5*w, 3*w = -5*i - 15. What is the closest to 0 in i, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. Let a be 3 - (4 + (-8)\/m). Sort -0.3, a, -1 in decreasing order.\nAnswer: -0.3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*l - 70*l - 69*l - 63*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123341122 - -2015?\nAnswer: -123335103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*w = -82580, 4*w = 70*i - 74*i + 330280. What are the prime factors of i?\nAnswer: 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((sqrt(224)\/(sqrt(484)*1))\/(sqrt(512) - -6*(sqrt(512) + (1*sqrt(512) - sqrt(512) - sqrt(512)))))**2.\nAnswer: -7\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 5*w - 9*w - 11 - 10. Is 7 a factor of m(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 41. Let h(l) = 30*l**2 + 7. Suppose -30 = -14*x - 86. Let s(i) = -17*i**2 - 4. Let p(k) = x*h(k) - 7*s(k). Give b(p(o)).\nAnswer: o**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*((-6)\/(-12) + 0). Which is the nearest to 0.2? (a) i (b) -21 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Which is the closest to 3? (a) x (b) 2 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 7, -1, -0.4 in increasing order.\nAnswer: -1, -0.4, 4\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*s**3 - 787*s**2 + 2329*s + 6.\nAnswer: -156*s - 1574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-4*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -554 - 327?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7))**(-21\/2))**(-16) assuming s is positive.\nAnswer: s**(-1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-3)\/(-4) + -2). Let i = 61 + -60.21. Let v = 1.19 - i. Which is the nearest to h? (a) -1\/4 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(19) + -1 + sqrt(19) + -4 + 0 + sqrt(1216) + 0)**2 - (sqrt(133) + sqrt(133) + 3*sqrt(133)*2)\/(sqrt(14)\/(sqrt(2)*-1))).\nAnswer: -184*sqrt(19) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cczehzczezxzkxheez. Give prob of picking 2 z and 1 h.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from eziehzezzzizizeezz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -41020?\nAnswer: -41022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -59, -126, -209, -302, -399, -494, -581?\n\"Answer: r**3 - 17*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h + 32*h - 20*h - 20 as m + p*h and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -43 in decreasing order.\nAnswer: 3, -17, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6039 - 6039 - 2*w to z*w + k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/138*(-2)\/(10*1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/12 + 7*t**4\/8 - 17*t**2. What is the second derivative of o(b) wrt b?\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 798*r**2 + 77*r - 77. Let c(m) be the third derivative of 7*m**5\/20 + m**4\/12 - m**3\/3 - 382*m**2. Determine -77*c(n) + 2*j(n).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**3 - 2*u**2 + 2*u + 5. Let j(o) = -9*o**3 + 2*o**2 - 2*o - 6. Let p be (-40)\/140 + 100\/7. Let m be (p\/70)\/((-1)\/(-25)). Give m*j(f) + 6*n(f).\nAnswer: 3*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**6\/10 + 129*n**5\/20 - 49*n**4\/4 - 223*n**3\/2 - 198*n**2 + 4877*n. Factor j(k).\nAnswer: 3*(k - 3)*(k + 1)**2*(k + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(120)*5 + sqrt(120))\/(5*sqrt(30)\/sqrt(5))*4)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7172.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01045 - 0.18955. Put -2, -0.08, u, 3, 51 in descending order.\nAnswer: 51, 3, -0.08, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 5. Let a = 3 - 7. Is 11 a factor of z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 9. Suppose 3*c + 8 = z*c. Let j be (31\/7 - c)*7. Solve 0*k = j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 8) to base 5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/3 - (-1)\/(-3). Let u = r - 2. Let l be -1 - (3 + -7) - -2. Which is the smallest value? (a) 0.5 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31613*f + 31609*f + 3*m + 2, -3*f - 3*m - 30 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.12, -2\/23, 1\/27.\nAnswer: -3.12, -2\/23, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 7253.\nAnswer: 3626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3608\/5 - -721. Which is the nearest to 2? (a) i (b) -1\/9 (c) 0.31 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12411.7*1.01\nAnswer: 12535.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i**3 + 43*i**3 + 42*i**3 - 133*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628742587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -91. Suppose 0 = -h - 2*h + o. Suppose 0 = 4*y - 2*a - 12, h*y = -4*a + 30 - 6. Solve l + y = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418\/7 or 2\/7?\nAnswer: -418\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4226*t - 8434*t + 4210*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -759 + 25440?\nAnswer: 24ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91\/120 + -2419\/1320. What is the common denominator of 65\/2672 and o?\nAnswer: 29392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880813 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/8 - 1679*a**2\/4 - 521882*a - 1042084 = 0?\nAnswer: -964, -2, 4324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.082 + 0.41. Let v = q - 0.128. What is the fourth smallest value in v, 2, -5\/3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55783 is divided by 2228?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*m + 8 = 2*g - 180*m, m + 6 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 3*z - 2. Let x(l) = -l**2 - l - 1. What is j(f) - 4*x(f)?\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t + 4*m + 16, 0 = -2*t + m + 6. Suppose 0 = c - 4*i + t, 2*c - 7 + 0 = -3*i. Solve -4*a + c = -3*d - 11, -5*a + 8 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from ffzfffzzfmiffmz?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*m - 207 = 491, 4*m = -4*o - 928. Let s = 477\/2 + o. Let h = -83\/14 + s. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - 1. Let q = -43.4 + 39.4. Let o be 8\/5 - (-2 + 3). What is the closest to -3 in i, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/(-95))\/((-46)\/(1280180\/322))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37084950 divided by 126?\nAnswer: 294325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 + 4\/(-11 - -7). Is v*(5\/10 + 9306 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46902568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2 + 266*r - 470 wrt r.\nAnswer: 4*r + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 167 - 2*x + x - 324 - 7*x**3 + 172 as c + k*x**3 + u*x**2 + b*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49798 and 2.\nAnswer: 99596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -31659 - 152*i + 145*i + 31496. Determine l(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312 times -96?\nAnswer: -221952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 966499.3967966 + -966500. Let d = 0.603 + w. Round d to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -156.95 + 157. Which is the second smallest value? (a) 1\/3 (b) h (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 556*p + 2. Let a(v) = -406*v**2. Calculate j(a(n)).\nAnswer: 494508*n**4 - 225736*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894266037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 3*u + 3. Let z be (14 + 13*(-24)\/(-78))\/18. Let a(n) = -n + 1. Suppose 3*j = -3*l + 3, 5*j + 5 = l - 2. Determine j*b(q) + z*a(q).\nAnswer: -4*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1856 = 1102. Let v = 743 - y. What is the remainder when v is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 19 + -8 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 534471?\nAnswer: -534476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**2 + c**3 + 10*c - 36*c - 33*c + 17*c**2 + 15*c.\nAnswer: c**3 - 43*c**2 - 44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 7:18 AM?\nAnswer: 299","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)**33*(o\/(o*o*((o*o\/(o*o\/(o\/o**(7\/3))))\/o)\/o*o*o))**(2\/35) assuming o is positive.\nAnswer: o**(-3463\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 16. Suppose 3*i - n*z = 1625, 2*z + 0 = -8. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 101. Let m = 5 - 10. Sort j, m, -4 in ascending order.\nAnswer: m, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27.57 and 637784188.\nAnswer: 637784215.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b - 69. Let y be o(5). Let h be -2 + (4 - y) + 4. Put 2, -5, h in decreasing order.\nAnswer: h, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23283 + 25887.2. What is p rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11167 - 11164. Is n != -52\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g**3*g)\/g*g*g)\/g*g*g**13)\/((g\/g**(4\/3))\/g**0) assuming g is positive.\nAnswer: g**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 12. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745350.6 decades to millennia.\nAnswer: 7453.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227327 less than 4.274?\nAnswer: 4.501327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 + 125. Let r be 2*(-406*20\/16 - b). Is ((r\/(-3))\/(-1))\/((-38)\/114) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 9. Let u be c(-10). Let s(n) = -n**2 - 13*n - 16. Let d be s(-11). Let k(j) = 4*j**2 - j**3 - 4*j**2 + d*j - 5*j. What is k(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l\/(l*l**6*l))))**(-20)\/((l*l*l\/l**(8\/3))\/(l*((l*l\/(l**(16\/5)\/l*l))\/l)\/l*l)) assuming l is positive.\nAnswer: l**(1777\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8389637.\nAnswer: 419, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 278.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/15 - 9\/(-5). Let p(l) = l**3 - l + 0 - 7 - u*l**2 + l**2 + 2*l. What is p(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 12487*f + 62457. Let o be y(-5). Suppose 0 = -r - 4*r + 165. Sort r, -1, o in descending order.\nAnswer: r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 a factor of 10609544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3615 divided by -5215.\nAnswer: 723\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -72 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16237068 and 1092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059 at least 7059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69458 by 69458.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*w - 5*t, -t - 4*t - 155 = -5*w. Let a(f) = f**2 - 27*f + 32. Let c be a(w). What is the greatest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -154, -310, -466, -622, -778?\n\"Answer: -156*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from qvvqvvvvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/2 (c) -6 (d) 1396.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/3, -0.4, 2\/7, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) + 1)) + sqrt(605))*-5*-2.\nAnswer: -10 + 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b - 1004 - 1396 = -1248 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (86 - 75) + (-57)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 34 = 14. Suppose 2*q - 14 = 4*w + 4, -3*q - 2*w = -51. Solve -q = s*k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022123433 (base 5) to base 2\nAnswer: -1000001011110011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (14 + -11) - (0 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(288) + (sqrt(288)*-1*2)**2.\nAnswer: -120*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v + 1058 = 6*a - 7*a, 29*v + a = 45*v - 21*v - 82 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1*o)**14*(o*o\/(o**(-1\/5)*o)*o)\/((o*o\/o**(-2\/7))\/o*o*o))**(-22))**(-1\/78) assuming o is positive.\nAnswer: o**(3454\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 7 - (-7 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21445569 divided by -7148523\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 12}. Give prob of picking 3 a.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 17 = -21. Suppose -2*c + 1483 = -3*j - 485, -1968 = -o*c + 4*j. List the prime factors of c.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 1175*c**2\/2 - 1172*c + 421. What is the first derivative of g(m) wrt m?\nAnswer: 1175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.06 + -0.06. What is the nearest to 1\/5 in j, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120*z**4 + 55*z**3 + 5*z**2 - 48*z wrt z.\nAnswer: -2880*z + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2*-3 - -4*(0 + sqrt(704) + sqrt(704) + sqrt(704) - sqrt(704)))**2 + 5 + 1*sqrt(1584) + (-2*sqrt(11) + 3 - 2*sqrt(11)*1).\nAnswer: 8*sqrt(11) + 137992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, x: 1, p: 9, l: 5}. Give prob of picking 2 y and 2 p.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13512212939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**3\/3 - 9*j - 4. Let p(b) be the third derivative of 1\/6*b**4 + 0*b**3 + 12*b**2 + 0*b + 0. Calculate 10*i(r) - 4*p(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 4607504?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2513737*i**3 + 6587962*i**2 wrt i.\nAnswer: 15082422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 18*y - 10. Let h be -5 + (-23 - -22) - (11\/(-1))\/1. Give u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(11*825\/(-605))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2615000 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*q**2 + 37 + 330*q**2 - 94 - 133 in the form r*q**2 + p*q + i and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/19 - (-9925)\/475. Solve 0 = -5*s + 6 - r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, y: 4}. What is prob of sequence wwy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9660\/(-16))\/(-23)*(-14)\/315*-36\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(57*m**3 - 57*m**3 + 25*m**4).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*l - 12, -4*l + 5 = 5*k + l. Let v be ((-22)\/10 - -1)\/(k\/1). Sort v, -4, -2, -3 in decreasing order.\nAnswer: v, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-53)\/(159\/(-19026)) - 15. What is the greatest common divisor of 2664 and b?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -127, -772, -2459, -5710, -11047?\n\"Answer: -87*g**3 + g**2 - 39*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**3 - 2*a + 2. Let q be n(1). Solve 3*w + q = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + (-9)\/(38205\/55425). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 30*p**2 + 7*p + 9. Let r be h(-2). What is the remainder when (-4)\/24 + r\/6 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - y + 11*y)*(-1 - 1 + 4)*(-22*y - 24*y + 92*y) in the form a*y**2 + t + x*y and give a.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -22, -5, 4, -91, 1 in ascending order.\nAnswer: -91, -22, -5, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 13*u + 0*u**2 + 1\/10*u**4 + 1\/75*u**6 - 3\/50*u**5 - 1\/15*u**3 + 0. Find l such that d(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 110*x**2 - 875*x - 980 = 0.\nAnswer: -28, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 + 733 + 34 + 441*l + 47*l**2 + l**3 + 605 = 0.\nAnswer: -28, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 3 (c) -0.1112 (d) 1.3 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(((-112)\/(-52))\/7))\/(17\/(-34))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.69 < -24640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:40 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0*(1 - 2). What is the remainder when (18 + s)*-6*4\/(-16) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**4 - 18*d**3 - 72*d**2 - 9*d + 9. Let y(t) = 2*t**4 + 54*t**3 + 216*t**2 + 24*t - 24. Let o(m) = -8*w(m) - 3*y(m). Factor o(u).\nAnswer: 2*u**2*(u - 12)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170*d + 1169*d = 2. Which is the nearest to 12? (a) -0.1 (b) 2\/15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8893656723 and -0.5?\nAnswer: 8893656722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4)\/(-2*sqrt(8)))**2 + (sqrt(242) - (5 + (sqrt(242) - (sqrt(242) + 0)) + sqrt(242)))**2 + -2.\nAnswer: 193\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 0.2. Suppose -2*v = g - 4, 3*v + 3*g = 5*v - 20. Which is the second smallest value? (a) v (b) w (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 6 = 2*g, p + 395*g - 2 = 394*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8453055?\nAnswer: 3, 5, 13, 67, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3 + 0 + f + 2 - 4*f**2 + f**3. Let j be (3\/2)\/(789\/1578). Calculate p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.2 or -33992\/3?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*n + 2*n = -11, 0 = -4*n + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12130895 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54589889*k**3 - 6*k**2 - 24*k - 679408 wrt k?\nAnswer: -327539334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 131*v**3 - 2*v**2 + 3*v - 2. Calculate the remainder when d(1) is divided by (-32)\/12*((-13)\/2 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -353.01 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55157 is divided by 3647.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87.894 - 88. Round w to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 - 26*m**2 - 9*m + 4. Let k be t(9). Put k, 1, 13, -5 in descending order.\nAnswer: 13, k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 420.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a factor of 321058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12915 - -13325. What is the greatest common divisor of o and 3526?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335908*c*p**4 + 2*c*p**3 - 13*c*p - 3795*p**2 wrt p.\nAnswer: -8061792*c*p + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - 2. Let m be o(2). Let w be -6*-2*(-1)\/m. Suppose 3*z + w = 14. Calculate the smallest common multiple of z and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 6. Let k(l) = -l**3 + 8*l**2 - 7*l + 6. Let h be k(g). Solve -3*z + 4*s - 14 = -h*z, 5*s - 18 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398072136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1395091 - 1491678\nAnswer: -96587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb (base 15) in base 7?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1829 - -1831. Solve -5*a + 22 = 5*h - 2*h, 0 = 2*a + t*h - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 3*u**3 + 16652 + 4*u**3 - 16652 - 11*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3034.3 and -2999.\nAnswer: -9099865.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172 or -104085\/608?\nAnswer: -104085\/608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -2, -1 in descending order.\nAnswer: 21, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26912 and 1856?\nAnswer: 53824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*x - 143, 3*i - 8*i + x = -275. Suppose -5*n + 17 = m - 2*n, -2*m + i = -5*n. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 - 5 - 5 - 3)*(750*z - 95*z - 21*z) to the form p + i*z and give i.\nAnswer: -8242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*p**2 + 4716*p + 530081 wrt p.\nAnswer: -76*p + 4716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10065)\/374)\/((-12)\/(-8)) - -19.\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -876.\nAnswer: 21\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59187074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 218 + 14 = 0. Suppose -8074 = c*q - 45*q. List the prime factors of q.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -258 and -8.93?\nAnswer: 2303.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337868878?\nAnswer: 2, 1117, 598867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3690691 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47039*v - 618998 + 618998 + 47038*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/84 - h**6\/30 + 3*h**5\/40 + h**4\/6 - h**3\/3 + 2*h + 9. Factor k(p).\nAnswer: -p*(p - 1)**2*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 17. Let h be 5\/a - (-11)\/2. Solve 20 = -5*n - y, -4*n + 2*y = -h*n - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 66 - 70. Let s be (-4)\/6 + h\/6. Solve -r - 5*l = -2*r + 25, s*l = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2\/27, 0.2, -0.01684?\nAnswer: -0.01684","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0. Suppose -3*k + 2*l + 16 = r, -l + 1 = 4*k - 2. Suppose m = -k*m + 9. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -33. Suppose -h = -0*h - c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Suppose -3*j = -i*j + 12. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1 - (-7282)\/(-18)). Let i = -409 - r. Find the common denominator of (-10)\/12 + 1\/(-3) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**3*n*t + 2*b**3*t**2 + 801*b**2*n*t**2 + b**2*n - 2*n*t - 2*t**3 - 4*t wrt t.\nAnswer: 4*b**3 + 1602*b**2*n - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/6 - 7*x**3\/6 + 3*x**2 - 101*x + 41. Let r(t) be the first derivative of o(t). Calculate r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 23511*t**2 - 305510*t + 845928 = 0. Calculate t.\nAnswer: 4, 9, 23498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = 2*y, 3*w = -y + 7*w + 3. Let i = -22 + 22. Let g = i + 8. Which is bigger: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*u + 5107 - 16610 = 5881 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + m)*(-15 - 15 + 1)*(8 - m - 8 + (2 - 2 + 1)*(2*m + 0*m + 0*m) + 3*m - m - m + 2 + 2*m - 2) + m**2 + 2 - 2.\nAnswer: -115*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -384, -489, 2 in descending order.\nAnswer: 2, -384, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77415051 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 24. Suppose 169 = h*r + 13. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or 1114\/7?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27300551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.93 and -14.\nAnswer: 209.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90 or 89?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -385695, -385637, -385579, -385521, -385463?\n\"Answer: 58*b - 385753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 608865910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*r + 43*r + 8. Let o(c) = 3*c**2 + 9*c**r + 4*c**2 - 10*c**2. Let j(p) = 2*p + 65 - 90 + 25. Determine j(o(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125216 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361 + 361.0305. What is a rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1198852 and 1660?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - 4*s**2 - 2. Let i(n) = 2*n**2 - 2*n - 10. Let m be i(-2). Let g(q) = 1 + 3 - q**m - 5 - q**3. Determine -2*g(o) + w(o).\nAnswer: -3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101655 and 2430?\nAnswer: 609930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = 3*t, 2*t + 4 = -28*u + 25*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2) + (-3)\/(-3). Let t(l) = -5*l**3 - l**2 + l - 1. Calculate t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 5. Let g = u + -5. Suppose -14*x = -9*x - g. Are 5\/6 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:48 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*i - 202, i - 64 = -0*i - w. Let f = i - 33. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1289*h - 3*h**4 + 6*h**2 + h**2 - 1293*h to the form q*h**3 + w*h**4 + a*h**2 + y + i*h and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 + 7 + -17)\/2. Suppose 6 + 6 = -3*t. Put t, -2, d in decreasing order.\nAnswer: d, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + (-20)\/48. Let y = -136\/35 - -30\/7. Sort w, y, 1 in decreasing order.\nAnswer: 1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23217.711 months to years.\nAnswer: 1934.80925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*-16 - 5. Is 1\/8 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -620 + 602. Let n(p) = 2*p + 40. Let a be n(f). Let t(q) = -q**2 + 9*q - 18. Calculate t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -62*b - 428. Let k be f(-7). Solve -4 = 3*a - q + k*q, 0 = -4*a + 4*q - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from {d: 8, k: 2, t: 1, f: 1, q: 3, u: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6*u - 32. Let j = 166 + -169. Let q be 19 + -24 - (-2)\/(-2). Sort j, q, u, 2 in increasing order.\nAnswer: q, j, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/7))**27\/(j**0\/(j\/(j**(-8\/7)*j))))**(-14) assuming j is positive.\nAnswer: j**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 112.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b - 1. Let l be u(-1). Suppose -40 - l = -4*d. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3763 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 119*s + 3. Let o(b) = 124*b + 5. What is -3*h(u) + 2*o(u)?\nAnswer: -109*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 5*a - 229. Let h be b(7). Factor -1\/6*c**4 + 0*c + 0 + 0*c**3 + 1\/6*c**h.\nAnswer: -c**2*(c - 1)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + 0 + -5 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.012 + -6.788. Let q = 7 + h. What is the closest to q in 0.2, 1\/6, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673750 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b**4 - 4*b**2 + 180*b?\nAnswer: 132*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*((-12)\/8 + 1). Suppose l - 15 = -c. Suppose -c*r = -r + r. Solve r*a - 15 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3474 and -7?\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*f + 371*f - 344 = 698*f for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -0*j. Let c(p) = -2*p**2 - p**3 + p + 0 + p**2 + 2 + 0. Let q be c(0). Solve 4*u + j = -k, -q*k - 10 = -u - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-40) - 5\/(20\/(-227)). What is the highest common divisor of 56 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2, -8*k + 7*k - 35 = 3*z. Let l(c) = -18 - 149*c**3 + c + 2 - 87*c**3 - 9*c**2. Let h be l(z). Round h to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/85 - 1331\/680. Let j be 33\/(-45)*294\/(-4). Let k = -17\/5 + j. What is the common denominator of k and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/15*3*(-2)\/(-52).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 16 = 13*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkskkksskwkwwskw. Give prob of sequence sww.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 18 = -24*w - 76 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*d**2 + 2357*d**2 - 179*d**2.\nAnswer: 2039*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 223092452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*x = 147, -4*q + 2*x + 104 = x. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16057556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*t = 9 - 2, 2*j - 2*t = 0. Solve -3 - j = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmkgkmtgwmgmgm. What is prob of sequence ggwm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1820120 (base 9) to base 8.\nAnswer: -3702336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -o - 0*d - 2, -o = -2*d + 5. Suppose -4*r - 3*q - 2799997 = 0, q - o = -0. What is r rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 33*z - 57. Does 16 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -24\/35*l**5 - 2\/5*l**6 + 2\/3*l**7 + 0*l**2 - 4\/21*l**4 + 0*l**3 + 0 + 2*l. Factor q(h).\nAnswer: 4*h**2*(h - 1)*(7*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-119))\/((-119)\/((-49980)\/600))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:24 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -935309*y**3 - 748230*y**2?\nAnswer: -5611854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-18)*3\/(-3). Let p = -3 + 2.8. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46068 at most 1520212\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/12 + 17\/3. Suppose -12 = -2*o + v*y, -5*o + 0*y = 2*y - 30. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21626, -34177, -46728, -59279, -71830, -84381?\nAnswer: -96932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -714 + 717. Let h = 0.4 + -0.3. Put 3\/7, h, k in decreasing order.\nAnswer: k, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120150, -120151, -120152?\nAnswer: -120153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 2, o: 7, i: 1, z: 3, f: 4}. Give prob of picking 1 o and 1 f.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 320636622 to the nearest one million.\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1077.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15538 - -17280. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 48, 102, 184, 300, 456, 658, 912?\n\"Answer: f**3 + 5*f**2 + 10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 239, 733, 1691, 3263?\n\"Answer: 25*q**3 + 7*q**2 - 16*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, -4\/35 in decreasing order.\nAnswer: 3, 0, -4\/35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -9 - 2) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d = 769*d + 657 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2972, 3 in descending order.\nAnswer: 3, -1, -2972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25*(10 - (-156)\/(-15)). Solve -2*d - 5*c = -h, -2*c + 0*c = 2*d - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*l = -7, -3*z - 18 - 9 = 4*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Suppose 5*i + 4 = i. Let g be (0 + i)*(-13 - -7). Is g less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14491548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 919 - 918.98713. Let v = n + -0.013. What is v rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/(2\/28*50\/(-100)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 2*k = 4*x + 9, 3*x = -4*k - 5. Solve -4*i + 17 = -m, -4*i + 3*m + 12 = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/3)*i*i\/(i*(i\/(i*i*((i\/(i**(-3)*i))\/i)\/i))\/i*i*i))**(1\/15)*((i**1)**(-7\/9))**23 assuming i is positive.\nAnswer: i**(-266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56796 or 2214988\/39?\nAnswer: 2214988\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48621 divided by 3?\nAnswer: 16207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 0*l - 5*l)*(34 - 106 - 73) to the form h + v*l and give v.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2360, 4638, 6916, 9194, 11472, 13750?\n\"Answer: 2278*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 60. Suppose 0 = z*q - 31 + 25. Let t = -1\/41 - 97\/1066. Is t at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/105)\/((-39)\/15 + 3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 - s**2 + 4*s**2)*(-s + 0*s + 3*s) + (15 - 12 + 28)*(2*s**3 - s**3 + 0*s**3) + s**3 + s**3 - 3*s**3 as v*s**3 + i*s**2 + g + h*s and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 9. Let p be (2\/5)\/(j\/(-120)). Let x(y) = 4*y - 9. Is 13 a factor of x(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*w - 6*w**2 + 2417 - 1210 - 1209)*(-12*w**2 - 7*w + 7*w) as m*w**3 + s*w**4 + k*w + c + r*w**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**3\/3 - a**2\/6 + 7. Factor h(s).\nAnswer: -s*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 - k + 7. Is 7 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39648 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 8*t - 40. Suppose -2*g = m + 3*m - t, 0 = -5*g - 2*m + 49. Let s(y) = y**2 - 13*y + 27. Let x be s(g). Solve -3 = 4*h - x*r + 5, 0 = 2*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -86*i + 1095. Give a(8).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111054.\nAnswer: 2, 3, 83, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t - 5. Let q(n) = n - 2*n**2 + 2*n + 6 - 5*n. Let v(k) = -2*q(k) - 3*y(k). Let u be v(0). Solve d = c - 4, -12 = -u*c - 0*d + d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 19*s**4\/8 + 5*s**2. Let l(j) = -11*j. Let g(m) = 21*l(m) + 4*v(m). Let i(r) = -32*r**2. What is g(i(d))?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454791.50051 + 453222.500504168. Let j = x - -1569. What is j rounded to 7 dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 30. Let r(w) = 5*w + 29. Give -3*r(z) + 4*y(z).\nAnswer: z + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 t when four letters picked without replacement from xddxttdtd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*s**2 - 90*s**2 + 130*s + 188*s**2 as n*s + r + d*s**2 and give n.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (3 - 36\/20)\/(4\/90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 - 1270*q**2\/13 - 7000*q.\nAnswer: 2*q*(q - 700)*(q + 65)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3228)\/(-336) - 6\/8)*2233\/(-638)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 0 + 0 - c + 4*c - 2*c + (-7 + 2 + 3)*(3 - 3 - c) + (-2*c + 2*c - c)*(5 - 3 + 0).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h. Let l(x) = 6*x**2 + 3*x. Determine d(l(r)).\nAnswer: 30*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55061827*0.2.\nAnswer: -11012365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.81126 millennia in centuries?\nAnswer: 788.1126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41104053 + 21?\nAnswer: 41104104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36228.65 days in nanoseconds?\nAnswer: 3130155360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/(1\/(-52)). Suppose -c = -4*m - x, -3*m = 5*c + m - 106. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = p - 3*i, -2*i = -4*p + 26. Calculate the lowest common multiple of p and 137.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**3\/3 - 96. Let c(w) = 23*w**2 + 18*w**2 - 15*w**2. Give z(c(q)).\nAnswer: 676*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.5343289 + -11.40433. Let f = w - 0.13. What is f rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**35*d**(3\/38)*((d\/(d**43\/d))\/d)\/d**(2\/33) assuming d is positive.\nAnswer: d**(-7501\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = y - 5*f + 45, 2*f = -y - 60. Let m = y + 55. Solve -u + m + 0 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -249, -679, -1395, -2463, -3949, -5919, -8439?\nAnswer: -11575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.18305 or -2\/3?\nAnswer: -0.18305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.0317 (c) 45 (d) 1\/3 (e) -8\/3 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q. Let n(h) = -h. Let y(u) = g(u) - 6*n(u). Let t(b) = 12*b - 3. Calculate t(y(p)).\nAnswer: 12*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 8*j + 2*j)*(-2 - 1 + 2)*((-43 + 62 + 35)*(0 - 2 + 4) + (-2 - 1 + 4)*(-4 + 4 + 1)).\nAnswer: -654*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195.61 + -0.39. Which is greater: 1\/2 or n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-10) - 458940\/(-75) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 7. Let h = 13 + -13. Let s be i(h). Let l be s\/21 - (-14)\/6. Solve 0 = -2*p - 0*p - 5*k + l, -4*p + 4*k - 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -4\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 262, 1609, 5104, 11827, 22858, 39277, 62164, 92599?\n\"Answer: 180*a**3 - 6*a**2 + 105*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - l + 0*l = 0, 5*u - 3*l = 0. Is 12\/4 - (-208 - u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70831443 or -70831444?\nAnswer: -70831444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37578, 75223, 112868?\nAnswer: 150513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-546)\/770 - 15\/165. Which is the nearest to -1? (a) -2 (b) -2\/13 (c) -7\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-21)\/(-12)) - -3. Sort 3, -5, j, 2.\nAnswer: -5, j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 - 1)*(-4*z + 4*z - 2*z) + 3 - 3 + z)*(-10*z + 16*z + 3*z) in the form w + s*z + p*z**2 and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22496963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 715999391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**2 + 45*t**2 - 5*t**2 + 48*t**2)*(4*t**2 - 4*t**2 + 2*t**2).\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 1905?\nAnswer: 20955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/k)**(-4\/3)*(k**(-1))**(-11)*(k**(1\/3)\/k)**(-11)\/(k**(-2\/7))**(2\/157) assuming k is positive.\nAnswer: k**(315473\/16485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*k - 93*k + 910 = 2995 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3920\/(-24))\/((-2)\/(-12000)). What is m rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 15*c**2 + 16*c - 19. Let g be r(7). Let f = g - 281. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1377237 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2215 - 10?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5025875000 rounded to the nearest one million?\nAnswer: -5026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 2. Let l(t) = -8 - t + 1 - 1. Let q be (-1 - 1 - -1)\/((-118)\/(-826)). Let n be l(q). Let d(a) = -a - 1. Determine n*b(j) - 4*d(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -2. Let s = -739.2 - -758.2. Which is the closest to s? (a) -5 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 1, -0.2, 2\/13, 1\/3, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, 1\/3, 2\/13, -0.2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3308 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2752 and 16560848.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7193 - -7193. Let q(j) be the second derivative of j + c*j**4 + 0*j**5 + 0*j**2 + 2\/5*j**6 + 3*j**3 + 0. What is the second derivative of q(t) wrt t?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1103 - 1090 + 4026*h + 2193 as n + x*h and give x.\nAnswer: 4026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.319 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -24. Let a(z) = -3*z + 41. Let i(h) = h**2 + h - 2. Let o be i(-2). What is the remainder when a(o) is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -10. Suppose s = -i*s. Solve -6*g + 4*g - 8 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4220055 by 281337.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 24 = -4*p. Let l = p - 3. Let f be -1 + l + (2 - -696). What is f rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 616, 1054, 1508, 1984, 2488, 3026, 3604, 4228?\n\"Answer: z**3 + 2*z**2 + 425*z + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30704756 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/6 + 2371*k**3\/6 + 704480*k**2\/3 + 700928*k = 0. What is k?\nAnswer: -1184, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0997 - -0.0997. Let t = -1 + 1. What is the closest to v in 2, -1\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-54)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 958 = 3*u, -5*u + 3*u = -5*v - 617. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173179280 is divided by 5093508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9482 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 value of (-365 - -333) + -1 + -2 + (-4 - (-2 - 4))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -1.2. What is the nearest to 1 in k, 0.6, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111288068 and -0.07.\nAnswer: -7790164.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -33*c + 1421. Let y be i(43). Let f(o) be the first derivative of -2\/15*o**3 + 3\/5*o**y - 4\/5*o - 7. Suppose f(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 17*j - 90 = 0. Suppose -4*l = -j - 17. Solve 2*u - 4*u = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2989 + 3004 - (-1 - -33 - (1 - 4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38245797 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 3*j - j + 72.\nAnswer: -4*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-622415*w - 45*w**2 + 622425*w - 45*w**2)*(1 + 1 - 3)*(-4*w + 3*w + 2*w).\nAnswer: 90*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 69. Let w = s - -2. Find t, given that -3*t**2 - 5 - 4 + 8*t**2 - w = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5719378*y**5 - 5248699*y wrt y?\nAnswer: -114387560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -450 in 0.1, 1\/978, 0.7?\nAnswer: 1\/978","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -14*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/25 (b) 0.2 (c) 3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33 - 6*-3*(-5)\/45. Suppose -2*s - 88 = 3*r, -r - 18*s + 19*s = l. What is the second smallest value in 0.1, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 41190*r - 329494. Calculate x(-8).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69408 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511471 is divided by 953.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 8*p**2 + 2*p - 7. What is z(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 - a**2 - 1)*(4*a**2 + 5*a**2 + 2*a**2)*(-3*a - 2*a + 6*a).\nAnswer: -22*a**5 - 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -60 times 13.0836\nAnswer: -785.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 3. Let j(k) = 2172*k + 2. What is u(j(l))?\nAnswer: 10860*l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - 616\/5. Let x = -1.126 + 0.926. What is the third biggest value in -2\/13, n, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-4)\/(-24)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67011 - 331337\/5. Let a = 753 - t. What is the common denominator of (2\/6)\/(9\/(-195)) and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18125 - -18127. Let c(k) be the first derivative of 0*k**4 + 6*k**l - 38 - 23\/5*k**5 + 0*k**3 + 0*k. Find the second derivative of c(r) wrt r.\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 9*b - 2*b**3 - 93 - 9*b - 55 to the form h*b**3 + l*b + q*b**2 + k and give k.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.0839, 0.05, -6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4914.31 and -2068.\nAnswer: -6982.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**4 - 715*h**3 - 9*h**2 - 427*h + 2. Let y(k) = k**3 + 3*k**2 + 6*k - 1. Let l(a) = t(a) + 3*y(a). Find the second derivative of l(c) wrt c.\nAnswer: -24*c**2 - 4272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312302*u - 312266*u + 1188 = 0 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1441*r**3 - 2*r**2 + 482*r**3 + 400*r**3.\nAnswer: 2323*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*c + 107*c - 1322400 = 119*c. Is c a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21081844 and -0.06?\nAnswer: 21081844.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5296095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 9 - (2 - 2)) + (8 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*12\/(-28)*-3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 4, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 6. What is the lowest common multiple of 11 and o(-10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 54, 52, 50, 48?\n\"Answer: -2*t + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-8) - (-48 + 47)*0\/39\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -310775, -310805, -310829, -310841, -310835, -310805, -310745, -310649?\n\"Answer: a**3 - 3*a**2 - 28*a - 310745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 177 * -0.1\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 - 11*l**4 + 41*l**3 - 17*l**2 - 40*l + 28 = 0. Calculate l.\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20971 - 41435. What is the tens digit of y\/(-34) + (-16)\/(-136)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4987, 20348, 45949, 81790?\nAnswer: 127871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/3))**(-4\/9)*(x**(2\/5))**45)**(-35) assuming x is positive.\nAnswer: x**(-16450\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-15671)\/(-10) - (-4)\/40. Let x(n) = 2203*n**3 - n**2 - n + 1. Let i be x(1). Let c = p + i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 8. Let i = x + -4. List the prime factors of 6\/(i - (-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.92 + -3. Let g = n + 0.071. Let y = g - 0.084. What is y rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 62. Let o be y(-13). Suppose 471 = o*q - 279. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 5 - 5 + (1 + 2 - 4)*(0*a + 2*a - a) + 4*a + 10 - 10 + 874*a + 240 - 240 as y + n*a and give n.\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 322949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + 13.09. Let f = 12 - n. What is the nearest to f in 1, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/91 and -57\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38513417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163191*d**2*x + 289708*d**2 wrt x.\nAnswer: 163191*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 0*h)*(-312 - 439 + 568)*(h**2 - h**2 + 2*h**4).\nAnswer: 366*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -9\/2*y**2 - 1\/3*y**3 - 14*y - 12. Let h be k(-5). Solve 0 = -2*n + 4*f - h, 5*n - 2*n + 10 = 5*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 times 0.4?\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17573 + -1?\nAnswer: 17572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/20 - z**5\/6 - 15*z**2. What is the third derivative of g(m) wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 7*i = 68. Suppose 2*k = i*h + 937 + 177, 0 = -5*h - 20. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 896.7 + -890. Which is greater: k or 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*a - 1 + 12, 0 = -3*v + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 + 4. What is the tens digit of -39*(m\/3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 0)*-1)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-32)*a*a**(2\/9)*a**7*a*a\/((a*a\/a**(1\/2))\/a) assuming a is positive.\nAnswer: a**(-383\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1002 + -984. What is the greatest common divisor of 657 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -9.4, 452\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4572424553 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.7944 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*o + 235680 = -1744*o - 496*o - 871*o for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -67*s - 12. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = -q + c, 2*q + 5*c = 31. Let p be 129\/27 + (-36)\/(-162). Solve 0 = -q*h - 3*n + 30, 2*h + p*n - 38 = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216447931079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/4*74 - 0?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 37. Suppose z + 2 = -u + 2*h, -5*u - 40 = h. Let i(m) be the second derivative of m**5\/20 + 7*m**4\/12 - 7*m**3\/6 + 3*m**2\/2 - 2*m. Determine i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/10 and 95\/94527534.\nAnswer: 472637670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 1:19 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3569 divided by -422\nAnswer: 3569\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from ataxddtebadadxxatd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55\/14? (a) 3 (b) -4\/11 (c) 689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 f, and 1 e when four letters picked without replacement from {p: 2, h: 5, g: 1, w: 4, e: 1, f: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-130))\/((-4)\/(-48))*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*k + 5*u, -3*k - 5 = u - 25. Solve -4 + 5 = 4*z + k*b, 2*b - 3 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-15) + (-3)\/(-9). Factor 0 - i*c**4 + 4\/3*c**3 - 2\/3*c**2 + 0*c.\nAnswer: -2*c**2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 20 = -20*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 7 = -4*s - 6*x, -s + x - 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a factor of 15978186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(-3 + 2*b + 3) - 5 + b - 2*b + 0*b.\nAnswer: -7*b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31480 divided by 6?\nAnswer: 15740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let j(i) be the third derivative of -i**5\/30 + 1939*i**4\/12 + 3527*i**2. What is m(j(f))?\nAnswer: -4*f**2 + 7756*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 651.12295.\nAnswer: -65.112295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 174240*i - 2529964800.\nAnswer: -3*(i - 29040)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3 - 3, -z + 5*p + 1 = 0. Suppose -w + 5*w = z. Suppose w*r = 5 + 7. Solve 2*v - r*v - 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*l + 2227 = -3745 + 1072 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*q - 0*q - 218, 3*d + 3*q + 165 = 0. Let s = 211\/4 + d. Let n = 274 - 1914\/7. What is the biggest value in n, s, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 5641 - 5631 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4*s**2 - 6507*k*s**2 + 6301*s**2 wrt k?\nAnswer: -8*k**3*s**2 - 6507*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 12*o - 9 = -l, -3*l + 23 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 167700550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 111939384*v**2 + 111939384*v**2.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (86\/30 + -3)*-10. Suppose 4*v - 6 = -26, 0 = -5*l - v. Let z = -1 + 4. Which is the nearest to 4\/7? (a) l (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/4 - 6183741*i\/4 = 0.\nAnswer: 0, 2061247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:47 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyi when three letters picked without replacement from {q: 1, b: 2, i: 3, y: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000099611188 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 13*c + 4. Let d be u(-14). Suppose 72 = 9*g - d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 769680 and 5220?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28493 + 28529. Let l(c) = c + 9. What is the smallest common multiple of a and l(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o = -162*o - 64*o + 774 - 18708 for o.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17581 is divided by 651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/98)\/(51903\/3318 - (1 + 14))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -m - 44 + 46, -m + 32 = 29*y. Let r = -454408\/243 + 1870. Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 132*v + 1563. Let i be o(-11). Solve 28*y + i = -9*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -67*m**3 - 2*m**2 - 2*m - 2. Let c be r(-1). Calculate the highest common divisor of c and 250.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1884, 3573, 5086, 6429, 7608, 8629, 9498?\n\"Answer: f**3 - 94*f**2 + 1964*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*o**5 + 3*o**4*u - 2*o*u - 36*o - 1 wrt o.\nAnswer: 900*o**3 + 36*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7127 (b) 4 (c) -2 (d) -0.2 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 39 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/108*-801*(-3)\/(-5))\/1. Calculate the greatest common divisor of v and 7743.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7821, -31296, -70435, -125244, -195729, -281896, -383751, -501300?\n\"Answer: -w**3 - 7826*w**2 + 10*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 0 = 21*v. Solve -3*m + v = x + 3*x, 12 = -2*m + 2*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -156*l**7\/7 - 80*l**3\/3 + 4*l - 431. Find the third derivative of a(g) wrt g.\nAnswer: -18720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - h**4 - 2*h**2)*(-1 - 4 + 1) + (4810*h - 4810*h + 112*h**2)*(-6*h**2 + 2*h**2 + 7*h**2).\nAnswer: 340*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r - 4. Let l(a) = 3*a - 1. Let f(h) = -6*b(h) + 17*l(h). Let z be f(3). Is (z\/8)\/(1\/(-22)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -27. Suppose 4*h - 9 = -c, 5*h - 27 = 8*c - s*c. Suppose -5*l = 5*z + 5, 2*z - h*l = -z + 3. Which is bigger: z or -1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -39?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -161.28 times 0.369\nAnswer: -59.51232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14513 - 201?\nAnswer: -15014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3\/7 + 3968*m**2\/7 + 1065552*m\/7 + 39542976\/7 = 0.\nAnswer: -474, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 5*z + u - 14, -u + 11 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17*n**3 + 391*n**2 + n + 20. Let a be u(-23). Let b(t) = t**2 + 5*t + 5. What is b(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.98 - 6.97. Let v = 2 + s. Let q = -0.09 - v. Is q < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 16*y**2 - 17*y - 6. Determine m(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 2778*f - f**2 + 8361*f + 1.\nAnswer: -f**2 + 11139*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-3\/5))**(-1\/4))**5)**(2\/7) assuming c is positive.\nAnswer: c**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 110 = -30*m, 0 = 5*m + 4*o - 294 + 119 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**7\/2520 + m**6\/270 + m**5\/72 + m**4\/36 - m**3\/3 + 5*m. Let s(w) be the second derivative of p(w). Factor s(r).\nAnswer: (r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1288 and 630959?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/2 + 3\/2 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*x + 10. Suppose 3*w - z + 0*z + 7 = 0, -x*w + 5*z = 15. Let k be ((-18)\/(-54))\/(w\/(-24)). Calculate the highest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, 3, -1, 0.1, 53 in increasing order.\nAnswer: -20, -5, -1, 0.1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*i = i - 723, 5*i = -u + 187. What is the units digit of u\/21 - 2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6665521, 13331045, 19996569, 26662093, 33327617?\n\"Answer: 6665524*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 25. Suppose -m*z = -5*z + 28. Is (-4)\/z - (3 - (-947)\/(-7)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:18 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -234, -816, -1954, -3834, -6642, -10564?\nAnswer: -15786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.3 (b) -1\/233 (c) 5 (d) -63 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3\/(-9))*3. Let w = l + 4. Solve 0*g + 3 = -g, w*q - 2*g + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i**3 + 12*i**2 - 43*i - 39. Let a(f) = 5*f**3 - 6*f**2 + 22*f + 19. Let r(o) = 5*a(o) + 3*n(o). Let z be r(-8). Solve 6 = x + z*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/59, 8, -0.2, -1, 3 in descending order.\nAnswer: 8, 3, 3\/59, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(-1*sqrt(9)) + sqrt(10))\/sqrt(2) - (sqrt(15)\/(sqrt(3) + sqrt(12)\/sqrt(4)) + sqrt(5)*1 + -1))**2 - (sqrt(1815)*-2)\/((1*sqrt(27))\/sqrt(9)).\nAnswer: 49\/4 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17262 divided by -97?\nAnswer: 17262\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.6 + 26.878. Let n = o + -195.278. Let v = n - -211.8. Round v to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.71 or -0.2?\nAnswer: -6.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, -156, 4, -20 in descending order.\nAnswer: 4, -4, -16, -20, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*i**4 - 5*i**3 - 48 wrt i.\nAnswer: 152*i**3 - 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 82*j**2 + 5*j - 6. Let t(s) = -14*s**2. Determine b(t(c)).\nAnswer: 16072*c**4 - 70*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/72*3*(-4)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Let u be n*(12\/9 - 0). Solve -u*k + 5 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**3 + 0*s + 9\/5*s**5 + 0*s**2 + 0*s**4 - 5. What is the third derivative of t(i) wrt i?\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = j + 4*r, 0 = 2*j + 16*r - 63235 + 63267 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -52, -111 in decreasing order.\nAnswer: 14, -52, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. Suppose -4*y + 5 = -5*y. What is the second biggest value in r, 2\/3, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let f(k) = -3*k + 15. Let x(u) = -5. Let o(l) = -2. Let z(r) = -7*o(r) + 3*x(r). Let s(w) = -2*f(w) - 30*z(w). Determine s(d(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1037*i - i**2 - 1037*i + 17 to the form x*i + f + v*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 197, 218?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-20 - (-7 + (7 - 12))) + 22).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117, 131, 155, 195, 257, 347, 471?\n\"Answer: b**3 - b**2 + 10*b + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1 take away 1088786379.56?\nAnswer: -1088786366.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**6\/120 + i**4\/12 + 5*i**3\/6 + 6*i. Let u(h) be the second derivative of d(h). What is the derivative of u(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1460117 (base 10) to base 7\nAnswer: 15260621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450541, 450543, 450545?\nAnswer: 450547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 111. Suppose 0 = 13*g - 5*g - t. What is the highest common factor of g and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuuy when four letters picked without replacement from yuuyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b - 2. Let p be a(-4). Let g = -7 + p. Let r(j) = -6*j - 1. Calculate r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.904051 decades in months?\nAnswer: 108.48612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 77214\/(-2992) + (-4)\/66*-3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 27*b + 80. Is 1614\/1*-2*4\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**5\/10 - 5*d**4\/4 + 7*d**3\/6 - d**2\/2 + 13*d. Give k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70.344 and 3?\nAnswer: 67.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67014*w**3 - 2*w**2 + 649*w + 3 wrt w?\nAnswer: -402084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110*a - 48844 + 157822 = 8094*a - 191334 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*2*-12 + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4594 or -500780\/109?\nAnswer: -4594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22152\/12431 or -2?\nAnswer: -22152\/12431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j + 6 - 4*j + j**2 + 0*j. Let a be g(-5). Let z(s) = 5*s**3 + 11*s**2 + 11*s + 11. Let k(c) = c**3 + 2*c**2 + 2*c + 2. Give a*k(m) - 2*z(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6710809 - 4?\nAnswer: -6710813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24587317 a multiple of 683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is t in -15*t**5 - 609295*t**4 - 6186019665*t**3 + 26814886815*t**2 - 26816918000*t + 6188660160 = 0?\nAnswer: -20312, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 1. Let x be h(-3). Solve 204*j**3 - 206*j**3 + 3*j**x - j**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1\/3 (b) -3.7 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:18 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 - (2 - 1)). Suppose x*t = 2*t - 56. Let k be 30\/4*(-48)\/(-120). Solve 5*w - 40 = 3*a, a - 8 = k*w - t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 8 = -27. Let x(h) = -3 + 7 - 5*h - 3. Let b(m) = 6*m - 1. Give y*x(p) + 4*b(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65.07274888 - -125.0727568. Let l = -60 + u. What is l rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 169*w - 166*w. Suppose 24*t = 29*t - w. Factor 30 - 4 - 2*h**2 - 48*h - 6*h**2 + 16*h**3 + 4*h**4 + t.\nAnswer: 4*(h - 1)**2*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 3*a. Let b(o) = -o. Calculate -6*b(c) - 2*d(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -142, -209, -286, -379, -494?\n\"Answer: -w**3 + w**2 - 63*w - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 0.1. Let f be (-4)\/(-18) + 141\/(-27). Let d be 6\/(-25)*5\/(-2). What is the nearest to q in -4, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 130, -954, -2 in descending order.\nAnswer: 130, 4, -2, -954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/170 - -214\/255. Let b = 0.26 + -0.5. Let y = 0.04 + b. What is the closest to 0 in p, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 34, 19, 24, 55, 118, 219?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 23*h. Let m be p(-14). Let k = -48 + m. Calculate the smallest common multiple of 12 and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31951923, -31951929, -31951935?\n\"Answer: -6*z - 31951917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 + 7*j**2 + 6*j + 161. Let x(a) = -a**3 - 2*a**2 - 2*a - 53. What is 2*u(w) + 7*x(w)?\nAnswer: 3*w**3 - 2*w - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*d - 439*d = -6. Let i(s) = -7*s**2 + s + 3. Determine i(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1090*u + 11998. What is h(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514 + 447 = 3*d + 13*i, 40 = 5*d + 3*i + 43 + 90 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 668433303?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 2477 - 2477 + 48*x + 4954.\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10171368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.319985 + -0.32. Round p to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -8*f**2 + 5. Let j(z) = 2*z. What is j(m(x))?\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3 + 11*f + 144.\nAnswer: -9*f**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1072551?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -1\/20*f**5 - f + 0*f**3 - 41\/30*f**6 - 21\/2*f**4 + 0*f**2 + 30. Find the third derivative of q(c) wrt c.\nAnswer: -984*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 + 2 = -5*j, 2*j = -4*v - 2. Suppose -25 = -v*t + 5*t, -5*y = 5*t - 5. Let a(x) = 2*x**2 - 6*x - 3. Is a(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from ysuyyyggggg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8*u + 10*u + 24 = 0, -p - u = 0. Let t(m) be the second derivative of 2*m - 1\/6*m**p + 0 + 1\/6*m**3 + 6\/5*m**6 + 0*m**2 - 3\/4*m**5. Factor t(i).\nAnswer: i*(3*i - 1)**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -12*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 497*s. Let j(z) = -11*z**2 - 50. Let r(f) = 9*f**2 + 40. Let h(q) = 4*j(q) + 5*r(q). Give h(x(c)).\nAnswer: 247009*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252297468 divided by -36?\nAnswer: -7008263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*-4)\/(((-14)\/196*6)\/((-8)\/28)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + (sqrt(80) + sqrt(80)*-2 + sqrt(80))**2 + sqrt(80) + sqrt(80) - (sqrt(55)\/(sqrt(99) - sqrt(11)) - -6*(0 + sqrt(5))))*-5 + 5).\nAnswer: -25 + 75*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 3*l**2 + (4 - 2 + 0)*(l**2 + 2*l**2 - 4*l**2).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 11. Solve 0 = p*w - m + 9, -5*w - 29 = -0*w + 3*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22494.6859 + 22496. Round q to two decimal places.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 24)*(-7 + 36 + 6)*(-3*a**4 - 2*a**4 + 3*a**4) + 0*a**4 - 4*a**4 + 2*a**4.\nAnswer: -1822*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 15) to base 9.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8858+0.1\nAnswer: -8857.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -322 + 478. Let t be c\/49*4\/(-36). Let v = 1\/49 + t. Which is greater: v or -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/11, 1\/6, -7.1 in descending order.\nAnswer: 1\/6, -2\/11, -1\/4, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/6 + o**2\/2 + o\/2 + 36. Factor s(y).\nAnswer: (y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Suppose -4*u + d*u = -680. Suppose 0 = -2*g + 42 + u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21134158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 6*k - 320. Let l be -3 + k\/(-12) + (-32)\/60. What is the third biggest value in 43, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/434*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(44) - sqrt(11))*-5)**2 - (5 + sqrt(11)*-1 + 4).\nAnswer: 21*sqrt(11) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 3441329726.\nAnswer: 3441329731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(7\/2) assuming l is positive.\nAnswer: l**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 21*m**2 - 6*m - 13. Give p(-21).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107272 by 8.\nAnswer: 13409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x - 2*x + (6 - 3 - 2)*(-1080*x + 186*x - 598*x)*(5 - 46 + 8).\nAnswer: 49235*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11377464 is divided by 83?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 19*f**2 + 2*f + 1. Let r = -171 + 405. Suppose -362*x + r = -349*x. What is the lowest common multiple of x and q(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 33 - 43 = 0. Let j be 9\/(-12)*-4 - 24. Is t at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3354 and 4128.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.48 to 1 dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8800 and 6600.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16134, -32285, -48452, -64635, -80834, -97049, -113280?\nAnswer: -129527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:31 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250482 and 10?\nAnswer: 1252410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/4 or -27.56463?\nAnswer: -27.56463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 20\/12)\/(1\/3). Suppose 0 = -5*h + m*x + 971 + 1109, -2*x = 5*h - 2080. Suppose 0*i = 4*i - h. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Let l = -2 - u. Which is the third smallest value? (a) l (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.4, -1\/7, 1\/8, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -16. Let x be 4 + (-8)\/(-60) + (-2)\/15. Solve -i = x*d + a, -28 - 22 = -5*i + 5*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*f - 40 = 3*b, -2*b - 72 = -2*f. Let c = b + 6. Is (-4)\/c - 49422\/(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + 1. Let n = 0.05 - -2.95. Let h = 26 + -53\/2. What is the closest to -1\/2 in n, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*s - 0 + 16, -19 = -5*d + 3*s. What is the remainder when 79 is divided by (-15 - 0\/2)*(-3)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 30. Suppose 11*l + 7 = -2*t + u*l, 2*t = 3*l + 17. Factor 6*i**2 + 33*i - 11*i - t*i**2.\nAnswer: 2*i*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22550 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -14726 and -14684 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 102 = -3*x - 523, 5*l = -20. Let j = 67 - x. What are the prime factors of j?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3132.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 238521*d**5\/2 + 12713724*d**4 + 464017386*d**3 + 6216983685*d**2 + 31179676275*d\/2 + 9824277375 = 0.\nAnswer: -1485\/43, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -151, -111, -59, 11, 105, 229, 389?\n\"Answer: i**3 + 33*i - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**2 - 3*i + 9. Let p(v) = -120*v**2 + 35*v - 105. Let w(d) = 35*o(d) + 3*p(d). Let a(k) = -1 + 1 - 3*k. Give a(w(g)).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -13.1826351?\nAnswer: -1.31826351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36880?\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-73360)\/(-378) + 4\/(-54). Let t = -189 + p. Solve t*k + 28 = -3*u, -2*u + u - 4*k = 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 8. Let l be j(-9). Suppose 24 = -11*t + l*t. Solve -5*k + 5*i = i + 12, -t = -k + 4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21543*w - 102*w**2 - 21543*w + 100*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -42. Let l = 15 + n. Which is smaller: 8\/7 or l?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from vmmmmvmmmmmmmmmmmm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011 (base 4) in base 14?\nAnswer: 67b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**5\/120 + v**4\/12 + 2*v**3\/3 + 1. Let z(o) be the third derivative of c(o). Let k(d) = d - 3. Let n be k(3). Give z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 8 = -2*q + 3*d, -d - 19139592 = q - 19139597 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79.68 or -8\/593?\nAnswer: 79.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -143, -159, -175, -191?\n\"Answer: -16*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47*(6 - (-16 + 11))?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -1121.\nAnswer: 27\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 415\/(-15) - (-1)\/(-3). Let a = 32 + o. What is the least common multiple of 1 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 2}. Give prob of sequence ye.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06534208 to five decimal places.\nAnswer: 0.06534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -993 (c) 0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8071?\nAnswer: 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3699 = 2*c + 3877. What is c rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 + 60*s**2 + 171*s - 546. What is b(22)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/60 + g**4\/24 - 7*g**3\/6 - 39*g**2. Give b(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91.2314 - -86.64. What is x rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 191.8674us?\nAnswer: 0.0000000022206875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 851, 1148, 1447, 1748, 2051?\nAnswer: 2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 678 and 96.\nAnswer: 10848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + d + 2 = 0, -2*d - 7*d = 228*j - 11*d + 220 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 - -1)*(33\/(-6) - -3). Suppose 0 = 41*w - 33*w - 144. Solve w - j = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 1887?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 7. Let l = -0.22 + 0.32. Which is the fourth biggest value? (a) l (b) -0.4 (c) u (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/33 and -56\/26895.\nAnswer: 26895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3801\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h*l*n**2 + h*l*n - 57*h*n**2 - 6*h + 100*l*n**2 wrt l?\nAnswer: 4*h*n**2 + h*n + 100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 minus 0.2?\nAnswer: -327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 3. Let f be k(4). Let z(q) = -q - 1. Let j be z(f). Let g be (-2)\/(-9) + (-12)\/54. Sort j, 1, g in increasing order.\nAnswer: g, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477a (base 12) in base 11?\nAnswer: -6026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 - -1048\/7. Let w = 155657\/44 + -3538. Let m = w - -1\/11. Put -11\/5, m, d in decreasing order.\nAnswer: m, d, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 b when four letters picked without replacement from {y: 1, k: 6, b: 1, r: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 670 and 75442?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2864676 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 28*y**2 + 27*y + 51. Let o(q) = -6*q**3 + 141*q**2 - 134*q - 252. Let i(t) = -2*o(t) - 11*x(t). Determine i(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2421 + -1631. Suppose 0 = 4*r - 9*r + g. Which is smaller: 157 or r?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p**(-15)*p*p)\/p)\/p)**(-3\/19) assuming p is positive.\nAnswer: p**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyhyyhhyy. What is prob of picking 1 h and 1 y?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 times 0.3\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.9 and 0.6.\nAnswer: -31.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41538516593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = -3*k + 468. Solve -3*o = -t - 8 - 0, 0 = t + o + k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/7, 17, 2, -2, -3\/4, 10 in descending order.\nAnswer: 17, 10, 2, -2\/7, -3\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 64*g**2 + 136*g + 269. Determine i(-2).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 5*q + 1896, m + 5*q = 1846. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91902127 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4 + 1)\/((-28)\/16). Which is the third biggest value? (a) j (b) 3\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, -90, -349, -712?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 7 + 0 + 2*m in the form z*m + x and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210746.4 tonnes to kilograms.\nAnswer: 210746400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/7)\/((-21)\/(-49) + 0). Which is the nearest to 1? (a) g (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586a22 (base 11) to base 4.\nAnswer: 3203130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393550.\nAnswer: 2, 5, 47, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1600207 or 1600205?\nAnswer: 1600205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 623 - 650. Is -7 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q - 17*q + 59916 - 56800 = 0 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5, 23*o - 28*o = -s + 31. What is the least common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1060 = d, -6*y + d = -7*y - 270. Let q be y\/28*(-3)\/3*10. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 249736914, 499473825, 749210736, 998947647?\n\"Answer: 249736911*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 1135?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - -12298b8?\nAnswer: 1229896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-2 - (2 - -5 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, 1 t, and 1 u when four letters picked without replacement from jtldljltlgjljul.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 260496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2536 + 1673. Let w = a - -1290. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 + 6*p + 6. Let v be r(-4). Let t be (36\/(-8))\/((-1)\/v). Let a be ((-2)\/3)\/(2\/t). Let j(n) = -n**3 + 4*n**2 - 4*n + 1. Give j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -287651000 to the nearest one million.\nAnswer: -288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13*-1.46\nAnswer: 18.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + g + 3*g + (16*g + 5*g - 11*g)*(-364 + 404 + 590) in the form s*g + t and give s.\nAnswer: 6301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13941\/(-51117))\/((2\/99)\/(-2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 + 2 + -1. Let j(o) = m - o - 4 + 0. Calculate j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-76)*(-49 - -53)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3757*t - 22512. Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 214967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108333 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246 + 356. What is the derivative of s*j - 9 + 0*j + 124 + 97*j - 29*j wrt j?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -1 (c) -3 (d) 0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**5 - s**4 - s**2 - 6*s + 1. Let r(q) = -q**5 - q**4 - q**2 - q + 1. Let t(d) = -4*k(d) + 4*r(d). Find the second derivative of t(o) wrt o.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z + 6. Let o be j(-12). Suppose -3*n + 91 = n - 3*a, o = 5*n + a. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -561 - -557.9. Let p = 13 - 14.1. Let d = p - t. Which is the nearest to 0? (a) -4 (b) -3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4175 + 0.1175. What is the nearest to -2\/9 in -1, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.15336333?\nAnswer: -0.15336333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14191 + -14189.3554. What is b rounded to two dps?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 3941868?\nAnswer: 7883736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025899913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - 2*f**4 + 2*f**4 + (2*f**4 - 4 + 4)*(0*f + 5*f - 3*f) + 4*f**3 - f**5 - 4*f**3 + 4*f**5 - 3*f**5 - 8*f**5.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.94 - -5.54. What is the third biggest value in 0.3, 2, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.0081 + -5.0081. Let d = 1\/41 - -407\/123. Let y = d - 53\/15. What is the nearest to -1 in m, 1\/10, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z**2 - 5*z - 4. Let x be m(-6). Let b be (-2)\/(8\/10)*x. What is the common denominator of -67\/6 and (85\/b)\/(16\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 1\/4*x**3 + 0 + x.\nAnswer: x*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + 100.5. What is l rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170914 (base 10) to base 15.\nAnswer: -35994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w + 15*w**2 - 12*w + w. Let s(l) = -2*l. Calculate s(g(c)).\nAnswer: -30*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 4*s**2 + 5*s. Let g be a(-4). What is the tens digit of (g\/8 + 2)*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0337825239 rounded to five decimal places?\nAnswer: -0.03378","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, -2\/9.\nAnswer: -0.3, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26244975.7262 less than 0.4?\nAnswer: 26244976.1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 35. Calculate the lowest common multiple of q and (-11 - (-14 + 10)) + 21.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 33.51?\nAnswer: 3.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12 = 8*m. Suppose -2*b - m*b = d - 14, 0 = 4*d - 16. Suppose 3 = k + 2*k + 3*j, 4*k - 10 = b*j. Solve -v = k*v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q - 46. Let f be w(-16). What is the third derivative of f*i**5 - i**2 - 11*i**2 + 61*i**2 - 2*i**6 wrt i?\nAnswer: -240*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 216*g + 2551. Calculate the remainder when b(-5) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5286, -21949, -49986, -89397, -140182, -202341?\n\"Answer: -5687*w**2 + 398*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 29*k - 7. Let s(u) = 2780 + 15*u - 5543 + 2759. Calculate -4*d(b) + 7*s(b).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllffllj. What is prob of picking 1 f, 2 j, and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let s(k) be the first derivative of -8 - 2*k**2 + 2*k**2 + 28 + 2*k**2. Calculate s(t(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 350*l**2 + 314*l + 1242. Calculate the remainder when y(-4) is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710698 divided by -10?\nAnswer: 355349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - v - 8*v**3 - 1 - 2*v + 7*v**3 - 33*v**3. Let l be f(-2). Suppose l + 690 = 5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 20. Let r(f) = -f + 2. Calculate -i(s) - 4*r(s).\nAnswer: s - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Let y be 0\/(n - -2 - 3). Sort y, -1\/4, 4 in increasing order.\nAnswer: -1\/4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) 1\/3 (c) -8\/309 (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940438 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from rrtvvvvvtvrtvvrdvrvd?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12107571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210 - (-6 + (1 - 0)).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -963, -1527, -1813, -1821, -1551?\n\"Answer: 139*t**2 - 981*t - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1724360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = -2*b, -2*k = -7*k + 3*b + 15. Suppose -8*q + 3*q = -60. What is the units digit of (q + -3)\/(k\/66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2 - l**3 - l**2 + 4*l**3 + 2*l**3 wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = -6. Let s(u) = -2*u - 3. Let z be s(-3). Let t = z + f. Solve -j = -4*m + 2, 3*j + m + 3*m + t = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245698?\nAnswer: 2, 122849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 4*b + 12. Does 3 divide j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txot when four letters picked without replacement from totttoxootootooottot.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 47*s**2 + 228*s - 37. Calculate y(5).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 37\/7 + -2*(-6)\/(-42). Suppose o*u = -3*r + 10, u = r - 0*r + 2. Which is smaller: 1\/158 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/12 - 5\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -166 (b) 1\/6 (c) 6\/23 (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599877.9 weeks in seconds?\nAnswer: 362806153920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2 + (-5)\/(-10). Let h(m) = m**3 - 4*m**2 - 5*m + 3. Let s be h(r). Suppose 0 = -f - f - 6. Put f, 1, s in descending order.\nAnswer: s, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let w(p) = 17813916*p. What is w(u(o))?\nAnswer: -17813916*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let g(d) = 15*d. Let h be g(q). What is the highest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -749988 > -748286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3\/12 + 37*g**2\/8 - 9*g + 278. What is n in a(n) = 0?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11979460 and 3860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -919.\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l)*(-196 - 129 - 104)*(2 + 2 - 3).\nAnswer: -858*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 25. Let m(p) = -p**3 + 6*p**2 + 39*p + 13. Let a be m(10). What is the remainder when 132 is divided by n(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 1889*b**9\/504 + 6637*b**5\/60 + 37*b**2 - 58*b. Find the third derivative of s(x) wrt x.\nAnswer: 226680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -21*n**3 + 3*n**2 - 9*n - 3. Let h(i) = -20*i**3 + 2*i**2 - 8*i - 2. Calculate 3*h(w) - 2*l(w).\nAnswer: -18*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 2, z: 4, c: 3}. What is prob of picking 1 z and 2 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-20) + 0\/(-2). Which is the biggest value? (a) 0 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297030885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 6456?\nAnswer: 49\/1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 668686801 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0)*-10 - (-51168)\/2184. Factor 6\/7*l**2 - s + 10\/7*l.\nAnswer: 2*(l + 3)*(3*l - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436 - 250. What is the remainder when y is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -403, -495, -521, -487, -399?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(5\/(-210)*-28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y + 1550 = i, -3*y = 2*i + 2339. Let q = 3180 - y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-5)\/(20\/4). Let d = z - 0. Let i(h) = 16*h - 6. Let f(x) = -x + 1. Let n(p) = -6*f(p) - i(p). Determine n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, -141, -208, -275?\n\"Answer: -67*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {n: 1, g: 1, c: 1, u: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)*w**(-1\/6)*(w\/w**(2\/9))\/(w*w**(-9)\/w) assuming w is positive.\nAnswer: w**(29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/8 (b) 2 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 3*g**3 + 4*g**4 + 5*g**4 + 9*g - 10*g**4 + 1 as x*g**3 + s + k*g**4 + n*g**2 + j*g and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-1*15\/9. Let r(c) = c**3 + 3*c**2 - 12*c + 2. What is the least common multiple of 38 and r(f)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3259589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqiibitdzibqdii. What is prob of sequence zibt?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - c - 1. Let n be j(-1). Let l(b) = -3*b**2 - 1 + b - b**2 + n + 2*b**2. Give l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 899 divided by -3119\nAnswer: -899\/3119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/((((-2)\/6)\/(-1))\/((-33994)\/1478))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Suppose 3*d - 12 = l*d. What are the prime factors of d\/(-15) - (-23)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5 + 5 + 2 + 3*d + d**2 + 1. Let h be m(-4). Let r = h + -5. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 20. Suppose 22 = 4*b + 66. What are the prime factors of f(b)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322192 is divided by 440725?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 275783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3*(-27)\/(-180)*5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 1306, 5, -2\/3, 77.\nAnswer: -6, -2\/3, 4, 5, 77, 1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 2 + 7*z**2 - 7*z**2 + 9*z**4 - 7*z**4 in the form n*z**4 + i*z**3 + a + b*z**2 + u*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 6) + (0 - (-68 - -1)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4 - 5*w**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 28. Let w(h) = 1. Calculate -c(l) - 3*w(l).\nAnswer: 2*l - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 + 7*d**3\/3 - 5*d**2 - 39. Let w be s(-8). What is the highest common divisor of 88 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 2230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3140617948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*x = 151*x - 21924. What are the prime factors of x?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. Suppose -2*q = 2*g - 2, -5*g - 2 + 0 = -j*q. Put 5, 3, q in ascending order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*m + 119*m = -149*m - 87*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.2. Let p = -27 - -23. What is the nearest to -2\/3 in w, -2, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**5\/60 - 7*r**4\/24 - 5*r**2\/2 + 3. Let w(c) be the second derivative of g(c). What is the second derivative of w(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose 0 = -2*p - 4*h + 20, -p - 4*h + 0 = -8. Suppose -3*y + p = 0, 3*c + 18 = 2*y + 97. Solve -c + l = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-132\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346252 (base 9) to base 16.\nAnswer: -32c66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - 31*o + 4.\nAnswer: -31*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*i*n*y - 3*b*i*n + 13*b*i*y - 2*i*n*y + 4*i + 2*n*y wrt b?\nAnswer: i*n*y - 3*i*n + 13*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8528 and 22256.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 16 = -3*n + 2*q, -2*n - 5*q - 18 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.54823l in millilitres?\nAnswer: 75548.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 = -14, 3*s - 10 = p. Solve r - 11 = -3*z, -r = -z - s*z + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15 + -3438 + 15)\/((-3)\/6). Calculate the greatest common factor of 72 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513 and 180.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -295094989 divided by 2681\nAnswer: -110069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.05, -106 in descending order.\nAnswer: -0.05, -2\/9, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 5*l - 155 = 0, -5*l = -15. Let u = -43 + p. Let y = u + 17. Solve y*x - 3 = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583.2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -a + 67, a - 9 + 12 = 0. What is the remainder when 1572 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = -64. Let b = -25 - i. What is the highest common factor of b and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000217482 to 7 dps.\nAnswer: -0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 + 3*l**2 + 0*l**2 + (l - 4*l - 3*l)*(1 - 1 + 7*l) + 3*l**2 + 6*l - 6*l as w*l + f + o*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3951 and -46.\nAnswer: -202.1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -202716, -0.5, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123 - 2*s**2 + 133*s**3 - 3*s**4 - 138*s**3 + 216 wrt s?\nAnswer: -72*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 22*m + 12. Calculate j(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 8. Suppose -6 = -l*q + 162. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7303 + -7305. What is the closest to -0.069 in 2, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/12 + 11*c**3\/3 - 65*c**2\/2 - 8435*c. Calculate h(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*s - 5369, -a - 2*a - 4*s = 3211. Let v = -585 - a. Is (v\/12 + -6)*(-6)\/(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 57 = 2*i. Let o = i + -4. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 57) + 1 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.7. Let s(d) = -d**2 - d - 9. Let o be s(0). Let u = o + 43\/5. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l - 1. What is the tens digit of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69.18554 + 73.386. Let b = 39 + -43.2. Let q = h + b. What is q rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -33. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 16. List the prime factors of (2 - (-799 - 5)) + w.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*t - 36, -16 = -2*t + 143*u - 141*u. Solve 3*o = -t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let r(m) = -2*m + 1. Let u be (16 - 18)*5\/2. Give u*i(o) + r(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 13) to base 3\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 25 = -5*x, 4*x - 20 = r + 2*r. Let w(d) = -2*d**3 + 10*d**2 - 7*d + 1. Let o be w(3). Solve j = x*j + o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 54 = -4*g, -3*d - 2*d - 4*g + 122 = 0. Let j = -22376 - -22497. What is the greatest common factor of j and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9276774 by -5.\nAnswer: 9276774\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/57)\/(1728\/(-62016)).\nAnswer: 85\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*s + 74 = 0, 7*m - 12*m - 4*s = 120 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 5, 0.2, 1, -4, -19370.\nAnswer: -19370, -4, -0.05, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 8*w**3\/3 - w**2 - 16*w - 3308. Calculate t(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z. Let g(s) = 8*s. Calculate 6*a(m) - 14*g(m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.256 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 2. Let y be (3\/(-2))\/(18\/(-24)). Suppose 0*a + y*a - 2 = 0. Calculate the remainder when f(-2) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1134 + -257. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c + 4. Let i be h(4). Let p be (-378)\/15 - 8\/10. Let m be (p - -4)*-4 - 2*2. Calculate the greatest common divisor of m and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-10)*1720\/(-1075)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let y(g) be the third derivative of g**4\/3 + g**3\/6 + 2*g**2. Let n(p) = 9*q(p) - 2*y(p). Calculate n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 64*d + 36*d - 147*d to j + b*d and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4371638 to the nearest integer?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 7*q = -12*q + 360 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380497 is divided by 418?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = 2*o. Suppose -4*y + h = -h + 16, 0 = -y + o*h - 4. Let z be -1 - (-2)\/6*3. Which is the nearest to z? (a) 0 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Let j(y) = -4*y + 5. Let l be j(z). Let i = 16 + l. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p**2 + 172*p + 107. Let c(s) = 76*s**2 - 516*s - 328. Let x(a) = 5*c(a) + 16*i(a). Suppose x(b) = 0. What is b?\nAnswer: -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-154)*(-12)\/(-63)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2, -56, 39258, -2\/5 in decreasing order.\nAnswer: 39258, 2, -1\/6, -2\/5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -890, -1424, -1974, -2546?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(0 + 2) + 6. Suppose -4*h + 5*h - 50 = 0. Suppose -m + h - 20 = 0. What is the greatest common factor of m and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0212834 to four dps.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/3)\/((-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 - 2. Let q = -1 + a. Sort 1, -4\/9, q in decreasing order.\nAnswer: 1, q, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-346)\/290 - 1*-1. Let f = 6\/29 - t. Let a = -5.45 - -5.25. Is a less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shh when three letters picked without replacement from {h: 5, s: 8}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -39922*x - 1277430. Determine w(-32).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358949 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:42 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2479 + -2478. Calculate the smallest common multiple of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138, -123, -72, 33, 210, 477, 852, 1353?\n\"Answer: 3*q**3 - 6*q - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2667, 2675, 2705, 2769, 2879, 3047, 3285, 3605?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 70. Let b(n) = 4*n**2 - 6*n**2 - n**v + 2*n**2. Let d(g) = -g. What is b(d(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from utzttmmtdmgtztmmt.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 217*l**2 - 29*l + 156. Let b be f(15). Let a = b - 25409. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Suppose 0*g + h*g = -70. Let t be (-12)\/9*3\/g. Put 0, t, 5 in decreasing order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7218144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 45 = -63 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-9)\/i)\/((i\/(i*i**(-2)))\/i))\/(i**(-2\/15)\/i*i**(5\/6)) assuming i is positive.\nAnswer: i**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036337694 rounded to seven dps?\nAnswer: 0.0003634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 4*r - 4 - 7 + (-3 + 2 + 2)*(3*r - 2*r + r) - 3 + 3 + 2*r - 3*r + 4*r + r + 88*r - 4252 + 4252 + (2*r - 2*r - r)*(-4 + 3 + 3).\nAnswer: 96*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -48?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1))\/((-3)\/3). Let t(k) = -5*k - 258*k**2 - 2 + 261*k**2 + 2. Let z(h) = -h**2 + h. Calculate q*t(u) - 5*z(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 9. Let p(f) = -2. Calculate -2*l(q) - 10*p(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -5662.\nAnswer: -5662.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1843001641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2907755?\nAnswer: 5, 581551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2047811360 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiayyasyyi. What is prob of sequence ax?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a = 2*d + 11, 4*a - 5*d = 17. Solve 5 = -2*f + 3*c - 2, 0 = -a*f - c + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616878379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:01 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 277184995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 10*k + 16. Let m be a(-8). Solve m = 4*o + 1 + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 2*b - 2*b + 2*b - 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 30 = -0*g. Let h be (10\/6)\/(g\/(-9)). Which is the second biggest value? (a) -0.3 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 11 = -4*s. What is the greatest common divisor of s and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let z(s) = 4926*s - 19702. Let l be z(4). Solve -3*c - p*n - 16 = 0, n = l - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 35 + 3. Let h = -74 - b. Let p = -92 - h. Solve -4 = 10*o - p*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 115?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5262?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.304 + 0.304. Put -2\/7, -22, 1, m in increasing order.\nAnswer: -22, m, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -430?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3743 + -3727 + (-1 - 5) + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 38292.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 106238464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 1147 = -148. Let d = z + 111. Put 4, 19, d in decreasing order.\nAnswer: 19, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -20.9. Let y = -0.052 + 0.452. Let h = 92 + -87. Which is the nearest to u? (a) y (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -1468, -2468, -3468?\nAnswer: -4468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.08 - -0.88. Let y be 2 + (-2 - -3)*0. Which is the closest to y? (a) 2 (b) v (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4 = 0, 0*r + 3*h = 5*r - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:11 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.835 - -0.135. Let u = c - -10. What is the third biggest value in -2\/9, 4\/7, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6029.855 litres in millilitres?\nAnswer: 6029855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7 and 1754413\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*a + 21*a + 5*a**2)*(3*a**2 - 3*a**2 - a**2) - a**4 + 2 - 2 in the form h + i*a**4 + w*a**2 + v*a**3 + g*a and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u**3 - 12*u - 10. Let d(v) = v**3 - v - 1. Give -12*d(x) + o(x).\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -10*n + n + 2*o, 0 = 4*o - 4. Suppose -4*m = -m + 30. Let d = -6 - m. Solve 0*a + n*a = -d*l + 24, -2*a - 4 = -4*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)*18\/(-6). Let k(s) = -3 + s + 5 + m*s + s**2 - s. Calculate the remainder when 59 is divided by k(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*48\/(-8). Solve -c = q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -80*o. What is w(1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11877 = -10*d + 41087. What are the prime factors of d?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36\/385 in -2\/3, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(1\/3))\/t*((t**12\/t)\/t)\/t)\/(t**3)**42)**(-5\/12) assuming t is positive.\nAnswer: t**(1745\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-15)*(-8)\/((-80)\/25). Is 4 a factor of 158 - 0*v\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 78*p + 3468. What is y(-43)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 36*l**2 - 2*l + 12. Let v(f) = -18*f**2 + f - 7. Determine -5*v(j) - 3*w(j).\nAnswer: -18*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169892426 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - (5 - -2)) - (-1485 - -1475)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6602426476?\nAnswer: 2, 17, 1427, 68041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpvepeebweevvuwpee. What is prob of sequence upw?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -3, 1\/75?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i - 199. Let k be z(-11). Suppose -100 = -4*b + 2*g, -2*b + 2*g - 35 = -3*b. Calculate the remainder when b is divided by 12\/k - 1188\/(-117).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.63 + -0.1875.\nAnswer: -99.8175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -54. Calculate the greatest common divisor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1817*256\nAnswer: 465152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 129.67 and 6.\nAnswer: 135.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5\/9)*l)\/l)\/(l\/l**(-14)*l) assuming l is positive.\nAnswer: l**(-149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 + 241. Calculate the greatest common factor of a and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 8*w - 4. Let o be i(7). Let p(j) = 70 - 70 + o*j. Let k(g) be the first derivative of g**2\/2 + 1. Determine k(p(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 0*t**3 + 0*t**3 - 3 + (-t - 3*t - t)*(t - t - 36*t**2) to m*t + d*t**3 + y*t**2 + z and give d.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 6:09 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Suppose -26 = c*y - 3*y. Let h be 13*(-1*1 + 4). What is the greatest common divisor of h and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 14 - 3 - 1 + 2. Let b(d) = -3. Let l(u) = -u**2 - 7*u - 8. Let r be l(-6). Let p(c) = r*g(c) + 11*b(c). Calculate p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, c: 1, u: 6, q: 1}. What is prob of sequence ucu?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-4)\/(-5)) - -2. Let f(k) be the third derivative of k**4\/24 - k**3\/3 - 111*k**2 - 10*k. Give f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 66. Let b be 4\/(-6)*k\/4. Put b, -5, 8 in decreasing order.\nAnswer: 8, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4118 times 4.15\nAnswer: -5.85897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0)*(316 + 319*j - 316).\nAnswer: 1595*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 3*o**2 - 223*o - 1101. What is f(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 2*f, -2*f - 2*f + 5*o + 13 = 0. Let m(c) = -c + 6. Let k = 169 - 173. Let a be (3\/(-2))\/(-4*k\/(-192)). Let t(x) = -1. What is a*t(u) + f*m(u)?\nAnswer: -2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1010525 - 2001?\nAnswer: -1012526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42694 or 42674?\nAnswer: 42674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83342719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 + 58\/10. Let o(s) = 6*s + 1. Let t be o(v). Suppose -4*a + t = -3*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166960 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153386974 by 3.\nAnswer: -153386974\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 17\/10 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((13 - 18) + 28 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976049.\nAnswer: 19, 47, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 190501.9 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5260, -5263, -5262, -5257, -5248?\nAnswer: -5235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 25 + 24. Which is the closest to 1\/19? (a) 2 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13057612, 13057613, 13057614, 13057615, 13057616?\n\"Answer: d + 13057611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2470*a - 1827*a + 4811*a - a**2 in the form r*a + h*a**2 + m and give r.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15711499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.142 less than -17529.1809?\nAnswer: -17529.0389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 - 6*f**3 + 2160*f**2 - 4*f - 100780 wrt f?\nAnswer: 24*f**2 - 36*f + 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x = -x - 288 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/2 - -2188*(-3)\/(-24) is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:39 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:48 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 4*s**2 - 5*s - 5. Calculate t(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 - 11*v - 2. Let g(m) be the first derivative of -m**3 - 5*m**2\/2 - m + 2389. Determine 7*g(p) - 4*n(p).\nAnswer: -p**2 + 9*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1211317932 and 1815.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.033863148 and 0.1.\nAnswer: 0.0033863148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(17) + -3 - -1*(sqrt(17) - sqrt(272))) + 2*sqrt(1377) + sqrt(17)*-2*-1)**2.\nAnswer: -216*sqrt(17) + 11034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9851 + 2.5571. Put 1, -5, d in ascending order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 and 2 - (-17)\/(-9)*33\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8 (base 13) in base 16?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 50 = -2*r, g - 6*g - 3*r = -125. What is the remainder when 1\/(-2) - (15225\/14)\/(-15) is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09 minus 25.951?\nAnswer: -28.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 + -44. Suppose o = 2*y - 2*r, 4*y + 476 = 7*y - r. List the prime factors of y.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -56, -24 in decreasing order.\nAnswer: -3, -24, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/18*((-1 - 9\/18) + 0). Which is greater: m or 1\/183?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -175? (a) -0.01 (b) 4\/5 (c) 81 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(2\/15))\/(r\/r**(2\/3)))\/(r**7\/r*r\/r**(-3\/5)))**1)**(12\/7) assuming r is positive.\nAnswer: r**(-424\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n - 99*n = 20. Suppose -2*k + 4 = -n*v + 2*v, -v - 4 = -2*k. Solve a - 5 = k*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54228 < -54226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117\/17 - -334\/51. Let j = -0.09 + -20.91. Which is the nearest to j? (a) p (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -13 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 - 5 = -j, 2*j - 19 = 5*x. Find q such that -3*q - 5*q**3 - q + 3*q**3 + 10*q + 4*q**j = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 27. Let m(w) = -w - 9. Let r be m(-8). Let i be 14*r + 4 + -3. Let n be o(i). Solve -2*g = 3*g - 3*p + n, 3*g - 9 = -3*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50389.8 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = -6. Suppose -80 = -d*m - 2*m. Let v(b) = b**2 - 10*b - 28. Calculate the remainder when m is divided by v(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 2*w. Let l be v(-2). Let p = l + 0. Suppose -p*s + 0*s - 5*b = -5320025, 3989985 = 3*s - 3*b. Round s to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n - 3. Suppose -4*q = -v - 8, -q - q - 2*v + 4 = 0. Let i be r(q). Suppose 29*f + 6 = 31*f. Solve -3*k + p = -2*p - 3, -4*k - f*p = i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61089?\nAnswer: 3, 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*p - 71. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/((-6)\/36). Suppose 5*m = 4*c - 3 - 0, 5*m - 1 = u*c. What is the first derivative of -c + 0 + 0 + z wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -6 + (-5 - ((-11 - -18) + -13))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 34 = 478. Suppose 0 = -c - 2*c + 18. Suppose 0 = c*r - 3*r - i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*t + 160, 2*t + 136 = 7*u - 3*u. Suppose 4*o - u = o. Solve -4*z = o, -q = -z - 0*z - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -0*h. Are 3\/25 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((62*300\/49600)\/(42\/4))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**2 + q**2 + 0*q - 6*q**2 + 2*q - 4. List the prime factors of z(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 2 + 9 + 32 + -259 + 222\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 198810 + 564*u + 2\/5*u**2 = 0.\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 690.245 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75156848\/5 or 15031370?\nAnswer: 15031370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -30*p. Let h(i) = 29*i. What is 7*h(d) + 6*k(d)?\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37.84737 centuries?\nAnswer: 3784.737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from {f: 3, k: 13, g: 4}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 57 - 7) + -12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4759.2 times 4?\nAnswer: -19036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/7 + 1832*o\/7 + 419528\/7 = 0.\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117649 and 6802033?\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 1\/2, -5, 318, 10.4, -2\/15, -0.4?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*g**2 - 16*g**2 + 13 - 47 with respect to g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-14))\/(v*v**(7\/5)\/v)*(v*v**(-1))**(3\/8) assuming v is positive.\nAnswer: v**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 22. Let c be o(-6). Let u(j) = -31*j**3 - 9*j**2 + j**2 + 6*j**c + 1. Let h be u(-1). Put h, 5, -1 in decreasing order.\nAnswer: h, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15330820.\nAnswer: 2, 5, 766541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 192\/(-112) - 9594\/(-14). Suppose q = 50*d + 85. Solve 5*v = v - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827699498 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from {n: 2, v: 5, w: 12}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 10*l. Let h be l\/((-1)\/(-4 - -5)). Suppose h = q - 4*q + 27. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3, g + 4*j + j = 7. Let b = 256 - 244. Let h = 4 + 1. Solve -b = g*w - h*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4439 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 2:18 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 51*s**5\/20 - 991*s**3\/6 - 1049*s**2. Differentiate c(l) with respect to l.\nAnswer: 306*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2894 + 4217. Let r = -506 + w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -449 - -453. Determine x so that 4 + x**4 + 92*x**3 - 40*x**2 - 3*x**h - 4 + 14*x**4 - 64*x = 0.\nAnswer: -8, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-939)\/(-15) - 9\/15 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -58*r**3 + 289*r**2 + 62*r - 413. Give m(5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*u + 208*u + 1316. Which is the nearest to -2? (a) 0.4 (b) 330 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44822841*b**2*p**2 - 12*b*p**2 - 2*b*p + 4*b - 2*p**2 + 83*p + 5 wrt b.\nAnswer: 89645682*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-322)\/(-8)*(-88062)\/455. Let y = 7784 + s. What is the common denominator of y and -127\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13688, 27399, 41108, 54815, 68520?\n\"Answer: -f**2 + 13714*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-240)*-6 - (-730)\/8. Is y > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/3 - 920*c**4\/3 + 156944*c**3\/3 - 8777584*c**2\/3 + 54618256*c - 97946688 = 0.\nAnswer: 2, 42, 116, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 52*w**2 - 99*w - 1271. Calculate the remainder when r(-53) is divided by 169.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15023204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**3 - 159645*j**2*y - 390*j + 83196521*y wrt j?\nAnswer: -3*j**2 - 319290*j*y - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2846 and -0.78.\nAnswer: 2219.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 - h**3 + 2*h**3)*(4*h - 3 + 2 - 1) - 4*h**2 + h**4 + 1543*h - 3238*h + 1598*h in the form c + q*h + t*h**4 + a*h**2 + z*h**3 and give q.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 102408*s + 1747899744.\nAnswer: 3*(s - 34136)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8098719 divided by -1.\nAnswer: -8098719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*q**3 - 787*n*q - 48*q**3 wrt q.\nAnswer: 6*n*q - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -2761, -10165, -24911, -49525, -86533, -138461, -207835?\nAnswer: -297181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 40*f - 33. Give p(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) -240 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:18 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 28. What is the closest to 0.1 in -3\/2, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16626 - -16703. Solve 28*j - 39*j = -a for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/8290 and 13\/14044918?\nAnswer: 70224590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*i - 1239 = 812 + 1729 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 29. Let b be h(-16). Let g be ((3\/b)\/(-2 - -1))\/1. Put -5, g, 5 in increasing order.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 18*c + 16. Let o = 9 + 14. Suppose 0 = -4*d - 29 - o. Is j(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*1 - (-3 + sqrt(13) + -2))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 439*v**3 + 683*v**2 - 688*v + 2. Determine m(1).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 172*j**2 + 1. Let t be s(2). Suppose -2*z - 671 = -4*d + z, -t = -4*d - 3*z. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - -165?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyyjjyymjemyj. Give prob of sequence mjy.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -491, -798, -1237, -1814, -2535, -3406, -4433?\nAnswer: -5622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-14) + (-61)\/427?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395437 rounded to the nearest one thousand?\nAnswer: -395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 5*c**2 + c - 4 + 6*c**2 + 8. What is the tens digit of g(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8321442, 8321476, 8321510?\nAnswer: 8321544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 1*46*(-3 + (-7)\/(-2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - 3*q**2)*(-2*q**3 - q**3 + q**3) + (0*q + 4*q - 3*q)*(-2 + 2 + 2*q**4) - 1 + 2*q**5 + 1.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 269196.75 months?\nAnswer: 22433.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -188, -656, -1574, -3092, -5360, -8528?\nAnswer: -12746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 3)*(1 + 1 - 48*i + 7*i + (3 + 1 - 3)*(-4*i + 2*i + 0*i) - i - 3 + 3 - 7*i + 2*i + 3*i) to the form b*i + d and give b.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 17*d = -5*x - 96, -2*d = 4*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:29 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 2*k + 3, 4*b + 4*k = 24. Suppose 5*m - 9 = p, -b = -3*m + 4*p - 3. Suppose 3*y = -m*y + 50. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -3869, -2\/9, 1147.\nAnswer: -3869, -2\/9, -0.16, 1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -564 + 567. Sort -1\/3, 2\/5, -0.1, c in increasing order.\nAnswer: -1\/3, -0.1, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340953 is divided by 180.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 0. What is the remainder when (g\/(-2))\/(6\/84) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*g + 7349 = 1053, -n + 3143 = 4*g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1843521 rounded to three dps?\nAnswer: -4.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -57\/17 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 11. Let g(s) be the first derivative of s**2\/2 - 10*s + 4. Let q be g(4). What is a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109.3 + -103. Let g = 1.3 - q. Let o = g + 5.0000005. What is o rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b**2 - 24*b + 23. Determine u(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1731*r**3*w + 315*r**2*w - 2*r*w + 437*r - 124*w + 2 wrt r.\nAnswer: -10386*r*w + 630*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/189 + (5630\/168 - (-8)\/(-96))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - u + 1)*(-10*u + 7*u - 2 - 1).\nAnswer: 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (49 + (23 - 89))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 33. Suppose x = -9 + r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 6 - 4 - x)*(-2 - 5 + 2)*(-2 + 0 + 0).\nAnswer: -100*x + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682613916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + z + (-2*z + 3*z + z)*(-6 + 4 + 3) + 2 - 2 + 2*z)*(-4 + 0 + 3)*(0 - 1 - 2 + (3 - 4 - 5)*(1 - 7 + 3)).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:18 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6*x**3 + 52*i**4*x**3 - 18*i**2*x**3 - 6*i**2*x + 2*i**2 wrt i?\nAnswer: -120*i**3*x**3 + 1248*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 896 divide 24258304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -29, -43, -57, -71?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18104.\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -10 - 7) + (-2 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 7*y**2 + 4*y - 7. What is the units digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2418 and 624.\nAnswer: 19344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y. Let r = -26 - -48. Let z(x) = 7*x**2 + 11*x + 11. Let l(o) = 2*o**2 + 3*o + 3. Let k(v) = r*l(v) - 6*z(v). What is k(w(g))?\nAnswer: 882*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-30) + 320\/6. Suppose 0 = -3*t + 4*a + y, t = 3*t - 4*a - 38. Solve -i - 4*i = t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 24*r - 28*r. Suppose -4*d = r + 2. Let t(m) = 2*m**3 + 0*m**2 + 2*m + 2*m**2 + m**3. Let p(a) = 8*a**3 + 6*a**2 + 6*a. What is d*t(n) + 4*p(n)?\nAnswer: -n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 581\nAnswer: -3\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1623 = 11*r - 6*r, -x - r = -406. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**5\/7 - 2256*s**4\/7 - 142864*s**3 - 17067960*s**2 - 698676300*s - 4102623000 = 0.\nAnswer: -105, -7, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3971300 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0 + 1 - 4 - q**2 - 6*q. Is 2 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1666.7 + 1667. What is the nearest to -2\/5 in 1\/4, 0.2, 5, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -332, -733, -1284, -1979, -2812, -3777, -4868?\n\"Answer: i**3 - 84*i**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + 2. Let a(y) = -3*y - 10. Calculate the remainder when x is divided by a(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -19*z**3 + 5*z**2 + z + 16. Let l(v) = v**2 - v + 3. Determine -h(y) + 5*l(y).\nAnswer: 19*y**3 - 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 2 - 3091*o**2 + 5*o - 3096*o**2 + 6185*o**2 to z + i*o**3 + q*o**2 + d*o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + a**2 - a + 6*a**4 - 4*a**4 - 2*a**2 as g*a**2 + s*a**4 + l*a + r*a**3 + k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/443593 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 212*j**3 + 4*j**2 + j - 2. Suppose m + 4*v - 15 = 0, 4*m - 5*v = 2*m - 9. Is s(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*344\/(-215). What is the units digit of (2745\/(-10))\/((-1)\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -22*u. Let v(t) = -173*t. Let s(g) = 115*g + 1. Let i(q) = -3*s(q) - 2*v(q). Determine i(r(m)).\nAnswer: -22*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-125805)\/(-14) - 21\/294.\nAnswer: 2, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153400730 to the power of 1\/2, to the nearest integer?\nAnswer: 12386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -3*m. Let i = -29 - m. Let n = 63 + i. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 11*x**2 + 10*x - 5. Let t be 2\/5 + (14\/(-35) - 10). Calculate z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvum. Give prob of picking 1 m and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*d + 18, 3*d + 9 = n - 0*n. Suppose -3*i = -q - 0*q - 9, n = 3*i + 2*q. Solve i*g = -2*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n + 82. Suppose 0 = -17*g + 23*g - 60. Calculate the least common multiple of 3 and d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (171\/(-38))\/(6\/16). What are the prime factors of (45\/(-6))\/(1\/z)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 467, 700, 933, 1166?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvvlfvfvvvffl. What is prob of picking 1 d, 1 f, and 1 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m**3 + 951*m**2 + 1677*m - 7209. Let y(u) = 3*u**3 + 237*u**2 + 420*u - 1802. Let v(n) = -2*g(n) + 9*y(n). Factor v(a).\nAnswer: 3*(a - 2)*(a + 4)*(a + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8 + 246\/(-30) + (-36755)\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(39)\/(sqrt(3) + sqrt(3)*-1 - sqrt(3)) + 0 + sqrt(325)) + -4 + -1*(sqrt(13) - (sqrt(13) + (sqrt(13) - (-2 + sqrt(13)*-1 + sqrt(13))))))**2.\nAnswer: 60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216229318 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 1\/3*n**3 - 2*n + 0 + 1\/2*n**2. Let f = -1821 + 1816. Calculate b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 - -91. Is b greater than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/4, -0.4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -90?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 7563*c**3 - 5*c**5 - 252*c**2 - 7557*c**3 + 27*c**4 + 216*c + 8*c**5 = 0.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 7*l + 106 = 0. Suppose -52*k + l*k = 785. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -644 + -24035?\nAnswer: -25012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2001091293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.02 + 1. Let p = 4.6098 - 5.1098. What is the nearest to 2 in 0.2, p, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = -10*w + 1041. Let m be -1620*(w\/(-15) - 1). Round m to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17102 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:48 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 5148?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1415 + 2273. Suppose -a = 11*q - 33*q. Calculate the remainder when 191 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -24, 13, 76, 171, 304, 481?\n\"Answer: x**3 + 4*x**2 - 2*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1123*m + 9104. Let c be y(8). Solve -c = -6*t - 72 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 26. What is the highest common factor of 54 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 5315.\nAnswer: -5314.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 3:45 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 9 = 6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 23 + 133 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11\/4*z**3 + 1\/4*z**4 - 5\/2 + 9\/4*z**2 - 11\/4*z = 0. What is z?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x**2 + 24*x**2 + 4*x**3 + 4 - 7 + 21*x**2 - 56*x**2 in the form f*x**3 + i*x**2 + g*x + q and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/3 (b) 1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0) + 11 + (-15 - ((-3630)\/35)\/11)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11616, 23223, 34816, 46389, 57936, 69451, 80928?\nAnswer: 92361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 22. Put -5, 1, r in descending order.\nAnswer: 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6300*z = -5654*z - 31654 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-28)\/(-4) + -3. Let s be (-9 - f)*40\/(-12). Suppose 5*h = 4*l - s, -3*l + 15 = 5*h + 2*l. Sort 5, 0.4, h.\nAnswer: h, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265911629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63494?\nAnswer: 2, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5081 - 15981. What is x rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c - 0. Let s(r) = -1 + 1 - c*r - r. Let l(a) be the third derivative of 13*a**5\/60 - a**2 - 660. Determine s(l(h)).\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/15 - 28*n**3\/15 + 64*n**2\/3 - 704*n\/15.\nAnswer: -2*n*(n - 4)**2*(n + 22)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-30) + (-21)\/60. What is the closest to 0.1 in 8, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42912142229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143.31 + -144. Round i to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.1 - -0.1. Let x = 13 + p. Let v = -3 - -2. What is the smallest value in x, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801375 greater than or equal to 3801378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460525.5s to hours.\nAnswer: 127.92375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*x = 58*x + 323316. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*v - 2*v. Let n be v\/(-6)*3\/(-4). Which is the second smallest value? (a) n (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/6 - m**2\/2 - 17*m. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 190513, 190514, 190515, 190516, 190517, 190518?\n\"Answer: m + 190512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -520*c - 12. Let p(x) = 1559*x + 34. What is -17*m(b) - 6*p(b)?\nAnswer: -514*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24573094589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 8 = 2*z, 213*z - 210*z = -5*g - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 11. Let y(d) = -4*d + 21. Let h(p) = 9*a(p) + 4*y(p). Let f be h(10). Suppose f*n = 370 + 415. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/7 - 5803473*w**2\/7 + 11606949*w\/7 - 5803475\/7 = 0. Calculate w.\nAnswer: -5803475, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140365 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 5*v + 5*v)*(-60 + 32 + 14).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 30 = 49*s - 48*s, 4*s - 119 = 3*k. Let q = 299 + -183. Calculate the highest common factor of q and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -60, 4*b + 22179110 = -3*z + 22179142 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1007 - 1014. Let v(f) = 0*f + f + 1 + f. Let j be v(-4). Is j <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4822 divided by 3489\nAnswer: -4822\/3489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -3, 17915, 12, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:02 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 23*m**2 + 10*m + 3. Calculate s(23).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525*s - 44 = 547*s. Let f be ((-4)\/10*25\/20)\/2. Sort -0.5, s, f, 21 in ascending order.\nAnswer: s, -0.5, f, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117633907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154297\/(-9711) + 26\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 16*u + 3. Let o = 8 - u. Let q = 0 + 0. Solve -o*v + v - 16 = q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**2. Let m(g) be the second derivative of -g**4\/2 - 2*g**3\/3 - 15*g. Let n(y) = 14*y**2 + 10*y. Let f(u) = -5*m(u) - 2*n(u). What is z(f(q))?\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 9. Let z(w) = -w**2 - w - 6. Let g be z(-8). Let k = g - -67. Let o be p(k). Sort 6, o, -3.\nAnswer: -3, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 1218\/(-8). Let n = g - -83. Is 23 a factor of -1*(-1)\/(-3)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = 80*a + 995 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 506 - 110. Suppose -6*c = -z - 2*c + 34, -5*z = -c - j. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 3*z - 3. Suppose -b - 1 = 2. Let x be a(b). Let o be (0 - -5) + x - 2. Is 2 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/25*(-30)\/(-9). Suppose -i + s*d + 48 = 0, 0 = 3*i - d - d - 104. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65020 + -37943. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 - 0.03585.\nAnswer: -128.03585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gokgngygkyoggkgk. What is prob of sequence ogy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41.9672 and -14.\nAnswer: 27.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 664811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100627, 100626, 100625, 100624?\n\"Answer: -j + 100628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143312675.\nAnswer: 5, 11, 521137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -43*c - 6. Let i(z) = 8*z**3 + 4*z**2 + 4*z - 4. Let g(n) = -n**3 - n**2 - n + 1. Give c*i(w) + 4*g(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*i + 16. Suppose 14 = 3*r - 2*v, -5*r + 0 = -i*v - 15. Let b = -7 - -18. Calculate the smallest common multiple of r and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*y + 3*y, -4*y + 2*z = 0. Suppose -3*b + 2*b + 5 = y. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (2*sqrt(242) + -1 - (0 + 1*sqrt(242))))**2 + 1.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75054 is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from djjejssmj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*k**4 + 4*k**2*r + 2*k*r - 3*k - 13*r wrt k?\nAnswer: 372*k**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3267 divided by -33.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 56 = -2. Let n be 12\/(-5) - (-10)\/25. Let z be 0 - (2\/n + (-4 - -2)). Solve -2*a = a - 2*m - t, z*m = 4*a - 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 304 - 143. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -3 - (-1 + (-3 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 114762.75ns?\nAnswer: 0.0000019127125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 479*n + 7 = -482*n, n - 5 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 551*d**2 + 5525450*d + 220616.\nAnswer: (d + 10028)*(551*d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7824195653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2067953 and 3056974.\nAnswer: 70310402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 545 - -341. Let p = n + -626. Calculate the greatest common divisor of p and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*t + 606*t + 1279*t + 65088 = 0 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 39018.\nAnswer: 507234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78.3 - 168.4. Round t to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110221 (base 3) to base 9.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88025.\nAnswer: 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25802 to three decimal places.\nAnswer: 0.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 - (-6)\/(-5)). Suppose -f - n*d = f - 16, -11 = -f - 4*d. What is the second derivative of 10*i**2 + 4 - 37*i - 7 + f wrt i?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 - 8*a - 10. Is 24 a factor of w(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s = 15. Let b be 1*(-3)\/s*5. Sort -2, 3\/4, b in descending order.\nAnswer: b, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49788 divided by -1383.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from vnnnt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 + 0.05. Let x = -2462.94 - -2463. What is the fourth smallest value in c, 5, x, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*375129\nAnswer: -1125387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:35 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41528 + -0.1?\nAnswer: -41528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/27 and 181\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8853, -35407, -79665, -141627, -221293, -318663, -433737?\nAnswer: -566515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 3, m: 1, q: 2, l: 10, y: 1}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m\/(m\/(m\/m**21))))\/m)\/(m\/(m*m*m**(1\/2)*m*m)) assuming m is positive.\nAnswer: m**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 26 + 8 - 28*c + 15 + 0 + 39*c.\nAnswer: 11*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose a - 1 = -d, -2*d + u*d + 2 = 2*a. Calculate the remainder when 64 is divided by 1 - d - (-17 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*y + 33, -3*y = -216*g + 217*g - 17. Solve -16*l = -g*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251565868 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.321139 to three dps.\nAnswer: -0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370340 is divided by 97?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 531 + -459. Suppose -k = -3*u - u - 3*l, -5*u + 109 = -l. Calculate the remainder when 40 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118367639983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4024313 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.1 + -34.099999409. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -137139?\nAnswer: -137141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200))**2 + -3 + sqrt(200))*-4.\nAnswer: -3188 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q - 7. Determine i(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(4\/9)\/r*r*r\/(r\/r**16) assuming r is positive.\nAnswer: r**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, 1292, 3065, 4838?\nAnswer: 6611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 2*z - 1. Let x be v(-2). Let q = 9 - 9. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 3. Let g(u) = 1. Let i(d) = d**3 + 16*d**2 - 20*d - 21. Let f be i(-17). Suppose -226 = 9*w + 53. Let v = f + w. Determine v*r(n) - 5*g(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1 + 17148*z**2 - 1 - 17079*z**2. Let h(f) = -2*f**2. Determine h(q(x)).\nAnswer: -9522*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -78. Solve m + 0*m + 4 = -q, q - t*m - 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 3*r**3 - 3*r**3)*(r**2 - 2 + 2 - 1).\nAnswer: -2*r**5 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 - 10*s**2 - 12*s - 15. Let n(j) = -11*j**3 + 15*j**2 + 18*j + 23. Let c(k) = -8*b(k) - 5*n(k). Calculate c(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -759981 and -10.\nAnswer: 7599810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18778297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -14 + -19 + 129?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, c: 2, s: 4}. What is prob of picking 1 k and 1 s?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**17*s)\/s)\/s**(-16))\/((s*s\/(s*((s**(-1\/10)*s)\/s)\/s*s))\/s)**(3\/17) assuming s is positive.\nAnswer: s**(5777\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4038?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 17 = 4*b + 4*h, -2*h = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 669\/8, 1, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.29 + -2.69. What is the second smallest value in -1, 0.04, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuuixxxxxixx. Give prob of picking 1 u and 3 x.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k)\/(((k\/k**4)\/k)\/k)*k*k\/(k*k\/(k**5\/k*k))*k*k\/k**(2\/11) assuming k is positive.\nAnswer: k**(553\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**20)*j)**7 assuming j is positive.\nAnswer: j**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98213.58nm to micrometers.\nAnswer: 98.21358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 276*s**3 - 553*s**3 - 1078*s**3.\nAnswer: -1355*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 4, j: 2, l: 3}. Give prob of sequence lxx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-16)\/(-24). Are h and 8\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62563?\nAnswer: 62563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57*((-18330)\/570)\/(-47)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -808 divided by -1\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434965, 434996, 435027, 435058?\nAnswer: 435089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 5)*(4*n**3 - 21*n + 21*n) - 7*n**3 + 2*n**3 + 3*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 32. Suppose -2 + 20 = f*l. Let q be (-3*(-4)\/4)\/(-1) + l. Let s(t) = -t**2 + t - 13. What is s(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 + -194. Let s = 20079989.999946 + -20079964. Let h = s - r. What is h rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s - 24*s + 2 + 8*s + 7*s. Suppose 0 = -4*f - 0*o + o - 21, 0 = -f + 3*o + 3. Let j be k(f). Is j greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79203 (base 10) to base 6\nAnswer: 1410403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*m = -6156 + 2234 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(sqrt(4896)*2 - sqrt(4896)) + sqrt(4896))\/(1*sqrt(128) - sqrt(128) - (-3*(sqrt(2) - -2*sqrt(2)) - sqrt(2))).\nAnswer: -144*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 263 = 67*x + 193 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 10. Let u be 1\/2 + (-14)\/s. Calculate the greatest common divisor of 10 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937161.\nAnswer: 1213, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 31, 50, 69, 88, 107?\n\"Answer: 19*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + 2 + -8 - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*c**5 + 14*c**2 + 362*c.\nAnswer: 1740*c**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/6 + 49*f\/6 + 20.\nAnswer: (f + 5)*(5*f + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1153402104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17277804 divided by -4.\nAnswer: 4319451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -46001.\nAnswer: 736.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 106\/10945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2, -1\/3, 315682?\nAnswer: 315682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 241 - 231 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 2, d: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/2 + 2794*w + 3903218 = 0. What is w?\nAnswer: -2794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc + 9?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 61, 249, -1, 2, -6 in decreasing order.\nAnswer: 249, 61, 8, 5, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1301212, 1301145, 1301078, 1301011?\nAnswer: 1300944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1156*b - 631. Let o(q) = -2*q - 6. Let l(a) = i(a) - o(a). What is the derivative of l(g) wrt g?\nAnswer: -1154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 9337*m = 9335*m - 2 + 22, 15 = 2*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 1. Let f be l(-4). Let i(p) = -p**2 - 14*p - 6. Is i(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) 8 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*b + 4. Suppose -4*d - 17 = -s, s - 151 + 46 = -4*d. Calculate the greatest common factor of b and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 2110. Is (g + 0)*5\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26421061 (base 7) to base 8.\nAnswer: -11201064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -2\/61?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 42*l + 40*l + 32*l - 100*l. Let s(x) be the first derivative of 0*x**2 + 1\/3*x**3 + 0*x + 1. Calculate s(w(p)).\nAnswer: 196*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2573 divided by -11\nAnswer: -2573\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4882 divided by -45.\nAnswer: 4882\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, p: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/(13696\/1536))\/((-1)\/(-2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/82251169 and -82\/22432137.\nAnswer: 246753507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4\/8 - 4\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2637 and 27.\nAnswer: 7911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3 + sqrt(567)*2*6)**2 + -3)*-3 + 3.\nAnswer: -244963 - 1944*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 + 0 - 2*w)*(-5264*w + 3742*w + 8687*w + 7463*w).\nAnswer: -14628*w**2 + 14628*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**3 + s**2)*(-2*s**2 + 4*s**2 - 3*s**2) + (s - 3 + 3)*(-s**4 + 3*s**4 - 3*s**4) + (2*s**4 + 4*s**4 - 5*s**4)*(5*s + 2*s - s).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + h + h, -h + 2 = -5*x. Sort x, 3, -18 in decreasing order.\nAnswer: 3, x, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-5)\/10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvccvccccvvcvcvv. Give prob of picking 1 c and 1 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -391286 (base 13) in base 5?\nAnswer: -322423243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883543331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6101? (a) -1\/2 (b) -1 (c) -2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192480, -1192608, -1192736?\nAnswer: -1192864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40060?\nAnswer: 2, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 27. Let v = 10518 + -10511. Solve -y = -v*t + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 0. Suppose w + 5 = 3*x, x + 3*x + 2*w + 10 = r. Suppose -b + 5 = x, b - 2*b = -3*m + 22. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*t - 8400, 5*q = -2*t - 2926 + 11326. What is the greatest common divisor of q and 4830?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Let q be (-4)\/18 + (-104)\/(-144). Sort -0.3, q, o.\nAnswer: -0.3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 141*g**2 + 4*g + 5. Suppose 0 = -276*c + 275*c - 1. What are the prime factors of u(c)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/40)\/((-1)\/(-20)). Solve 5*v = -0*v + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6766 (base 14) to base 7\nAnswer: 103156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -21*o - 12. Let f be -8 + 8 + (-10 - 0). Let x be (-1)\/(-2) + 55\/f. What is the tens digit of j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 1060*j + 6314. Give k(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 387628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 29 = 5*p, -3*x + 12 = 3*p - 0*p. Suppose 0 = -2*b + 4*u + 66, 0 - p = u. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - -86) + (-83 - -3) + -4\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 12. Let s be n(6). Suppose s = -5*l + 1350 - 20. What are the prime factors of (-1)\/(-6)*l + (-6)\/(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 + 2*f**2 - 10 + f**3 + 0*f**2 as w*f**3 + d*f + j + q*f**2 and give j.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 213003?\nAnswer: 213003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3983.4 and 0.1.\nAnswer: 3983.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1571, 4 in ascending order.\nAnswer: -1571, -19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/5 + 234*z**2\/5 - 729*z\/5 = 0. Calculate z.\nAnswer: -81, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41347 divided by 4?\nAnswer: 41347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, a: 2, l: 2, w: 1, o: 1}. What is prob of picking 1 a, 2 l, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.2. Let m = 0.4 + r. Let x be ((-1)\/10*360\/60)\/3. What is the fourth biggest value in x, 5, m, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 0*y**3 + 2*y**3)*(64*y + 42 + 57*y - y**2 - 123*y).\nAnswer: y**5 + 2*y**4 - 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10025552 + 3?\nAnswer: 10025555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*g - 184*g - 6216817. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a59730 (base 12) to base 3.\nAnswer: -11220112022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/13 - 452*v**2\/13 + 1714*v + 16016 = 0 for v.\nAnswer: -8, 91, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**9\/30240 + f**8\/6720 - f**7\/5040 - f**4\/4 + 2*f. Let k(a) be the third derivative of x(a). Factor k(w).\nAnswer: -w**2*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-1 - 4\/4). Let h be (-2)\/f - 6\/10. Let v = 32 - h. What is the greatest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -271*y**2 - 1395*y - 34. Give d(-3).\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -23.71. Which is the smallest value? (a) 4 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4992)\/(-864) - 4\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754061 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -25*n. Solve 4*r = -n*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3 - 12 - 23 + 36*j - 17*j**2 - j**3. Let t be y(-19). Solve -4*u + u - t = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-12))\/(((-3)\/(-40)*5)\/(6\/4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1152 and 44736?\nAnswer: 268416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*d = 1974, 21*d - 16*d + 749 = 2*l. What is the remainder when 1137 is divided by l?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22027.902 and -0.1?\nAnswer: -2202.7902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 163\/2. Let x = 7.2903 + -2.2903. Which is the smallest value? (a) -8 (b) x (c) r (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2095*p - 2095*p + p**2. Let k(t) = 5*t**2 - 3*t. Let q(x) = 6*x**2 - 4*x. Let m(f) = -4*k(f) + 3*q(f). Give m(h(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - (1 + (3 - 6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -5 + -1 - (-9184 + (-8 - -9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuur. Give prob of sequence ru.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.774 from 52384520.\nAnswer: 52384520.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + 136\/14. Suppose -n = -5*r - 0. Solve -r*j + 3*l = -6*j + 16, 5*j = -4*l + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22836, -75424, -157772, -269874, -411724, -583316, -784644?\nAnswer: -1015702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 32104*o**2 + 64214*o - 32108 = 0 for o.\nAnswer: -16054, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:20 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453920564 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2595492 divided by 3\nAnswer: -865164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12 and -157\/95430?\nAnswer: 190860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 29377 + 2*g - 29387 + 58764 + 12*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.8 - -5.2. Let d = -34.81 + f. Let h = d + -0.29. What is the third biggest value in 1\/4, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 15 = -13*l. Let t(f) = -f - 2. Let v(i) = -2*i - 3. Let y(o) = l*v(o) - 7*t(o). Calculate y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/11 + 2812*k**3\/11 + 991208*k**2\/11 + 1948752*k\/11 - 7884864\/11 = 0. What is k?\nAnswer: -702, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/24 - (2 - (-3306)\/36). Let j be (-6)\/(-1)*62\/r. Which is the nearest to 0.6? (a) -0.3 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11095 rounded to 3 decimal places?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*s + 24, -168*j - 5*s - 40 = -172*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 32*c - 18816 = 0. Does 17 divide (-6 - c\/35)\/(4\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 15. Suppose -4*f + 8*f + 2*g = -18, 0 = -f - g - 5. Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbyxpxbxxpxx. What is prob of picking 1 y and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -22. Let w = c + -56. Solve 2*u + 5*z - 2 = w*z, u = z + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:16 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -0*b. Let l = 63 + -123\/2. Let u be 1\/2 - (-25)\/(-20). What is the nearest to b in u, l, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 3, -2, 5 in ascending order.\nAnswer: -5, -2, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -18.6. Let t = 5.3 - 2.5. Let s = t - 3. What is the third smallest value in l, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 2. Let f be n(0). Suppose -4*w = -f*y + 28 - 6, 13 = 2*y - w. Suppose -j = -y*j + 68. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4662 = -4*d - 0*d, 2*z - 5*d + 1875 = 0. What is z rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 10*t - 113. Determine y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8915 - -186?\nAnswer: -874b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137*l**2*t + 48678*l**2 - 1774*t + 462 with respect to l.\nAnswer: 274*l*t + 97356*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 12008736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33\/28 - -3\/4. Let r = 4 + -9. Let k(q) = -q**3 + q**2 + q - 1. Let f be k(-2). What is the smallest value in p, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/9))**22)**13)**(-1\/4) assuming m is positive.\nAnswer: m**(-1573\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3228, 2971, 2542, 1941, 1168, 223, -894?\n\"Answer: -86*i**2 + i + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2) + -1 + 1. Let g = -1 + r. Let k = -0.3 + 0.5. Which is the closest to g? (a) 5 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4 = 2*z, -16 = z + 2*z - 4*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.43?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 8. Let i be g(8). Let p be (3 - -3)*(3 + 1134). Suppose u = -i*u + p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - k**2 + 4*k**2 + 3 - 1 - k**3. Let i(o) be the second derivative of -o**5\/20 + o**3\/6 - o**2\/2 - 22907*o. Calculate d(z) + i(z).\nAnswer: -2*z**3 + 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -29 - 79. Suppose k*f = 17 - 125. Sort f, 2, -1.\nAnswer: f, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49843504?\nAnswer: 2, 769, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h**2 + 5*h - 5. Let b(r) = -72*r**2 + 27*r - 27. Let n(u) = -5*b(u) + 27*g(u). Let q(a) = 5*a - 3*a - 2*a + a**2. Give q(n(t)).\nAnswer: 81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/3)\/2)\/(234\/(-552825)*-225)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n, 79 = 3*u - 2*n + 4*n. Let m = 27 - u. Solve 0 = -j + 3*s + 2*s - 23, m*j + 4*s - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 15803865 - 3724165. Suppose -39*x + 147428 = -q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168.16 + 212.72. Let q = 373 - v. Round q to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 388575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2)\/(24\/(-8)). Suppose -6*v + 316 + 14 = j. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 310\/3 in -5, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 1\/20*s**5 - 1\/48*s**4 + 29*s - 3\/4*s**2 - 11\/24*s**3 + 0. Factor d(u).\nAnswer: (u - 2)*(u + 1)*(4*u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1010 and -2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = -230 + 245 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5 - 39 = -11*l. Solve o = -5*c + 2*c + 21, -2*o = -l*c + 8 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (2 - 11) - -6. Sort -4, 60, 4, t.\nAnswer: -4, t, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954866117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2954659*z + 2954659*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q**4\/2 + 1956*q**3 - 16710*q**2 + 40944*q - 20448 = 0 for q.\nAnswer: 2\/3, 4, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 694.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197450, 197437, 197408, 197357, 197278, 197165?\nAnswer: 197012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 6. Sort x, -1, 1 in decreasing order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = 2*n, -2*q - 2*q = -5*n + 14. Let x = 0.8 + -0.87. Which is the nearest to q? (a) x (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 17*j - 181. Suppose 5*i = 5*h - 1690, 8*i + 1680 = j*h + 5*i. What are the prime factors of h?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/5740801 and 37\/88623?\nAnswer: 51667209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 4. Let r = h - -6.6. What is the closest to -0.2 in r, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -748794, -748760, -748726?\n\"Answer: 34*x - 748828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2304\/30 + (6 - (-18 - 238\/(-10))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 16 - 11. Suppose 52 = b*s - 3*s. Calculate the common denominator of -101\/6 and (163\/(-24))\/(s\/(-8) - -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let l(g) = -3*g + 1022. Determine l(z) - 6*v(z).\nAnswer: 3*z + 1022","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210.930012709 - -210.93. What is z rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(35581\/92))\/(10\/7)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -30, 9, -28.1, -2\/9, 1, -1\/3, 0.4?\nAnswer: -28.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19141.\nAnswer: 19141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -203\/22 - -653\/66. What is the closest to 35 in u, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2692761171 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*j - 374 + 374)*(0 - 39*j - 10*j + 0 + 32*j - 215*j) to the form g + w*j**2 + t*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -306*p + 214*p - 211*p + (0*p + p - 2*p)*(4 - 3 - 2) + (3 - 2 + 1)*(-2*p + 2 - 2).\nAnswer: -306*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - -28. Suppose -3*x = -i - 185, x = -0*x - 5*i + h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367026718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfv when three letters picked without replacement from vviziiivzfviizififif?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16)*b\/((((b*b**(2\/11))\/b)\/b)\/b)*b)**(-23\/4))**(-6\/13) assuming b is positive.\nAnswer: b**(-4623\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/143 + 210\/2717. Which is the closest to -3? (a) 0 (b) h (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 45 = -5*x + 1945, 1578 = 4*x + 3*j. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 88. Solve 0*r - 24 = -v*r + 4*t, -8 = r + 2*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*t*u - 3544*t + 46*u with respect to u.\nAnswer: 18*t + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*v**2 + 952*v**3 + 111*v**2 - 64*v**2 + 128*v**3 wrt v.\nAnswer: 6480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 6*n)*(5 + 27 + 7).\nAnswer: -234*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1 + sqrt(13) + sqrt(13))**2 + sqrt(13) + -5 + 2.\nAnswer: -5*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((10 + 0)\/5). Let j = o - -3. List the prime factors of 74 + 2 + (-18)\/j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)*a*a**(-1\/5)*(a**0)**(2\/63)*(a*a*a\/(a*a\/a**1*a)*a)**(-1\/6)*a**(-1\/4)*a**3 assuming a is positive.\nAnswer: a**(-47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 839420 and 3040.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 626485*v**2 - 5*v + 626485.\nAnswer: 5*(v - 125297)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 11*a**2 + 11*a + 7. Let k be u(-4). Suppose k*d = -14*d + 32025. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9628\/5 + -1904. Let p = -16359129\/40 + 408945. Let b = p + l. Calculate the common denominator of 143\/18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 11*u. Let z be (2 - (2 - u))*(-1)\/(-2). Which is smaller: z or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.543 - 37.543. Which is the second smallest value? (a) v (b) 8\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9)\/((r*r\/(r*r**(-3\/5)*r*r)*r)\/r))**(-2\/25) assuming r is positive.\nAnswer: r**(4\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i - 213 - 117 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-43)\/(-1) - (-2 - -8). Suppose -t*p = -28*p - 2736. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 225298*s**2\/3 - 6328306784*s\/3 - 311711971592.\nAnswer: -2*(s - 56398)**2*(s + 147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 297.\nAnswer: 297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 + 438.7. Let m = -52 + g. What is the second biggest value in 3, 1, -0.4, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/6 - r**3\/2 - 5*r**2\/2 + 156*r + 1. Calculate h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001505 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10310 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42677397 to the nearest integer?\nAnswer: 6533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:24 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 635599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2 - 70*m + 2 + 152*m - 85*m. Let l(g) = 0*g**2 - 2 - 7 - 3*g**2. Determine l(a(b)).\nAnswer: -27*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 5*f + 5*y, -12*f + 106 = -8*f - 2*y. Calculate the remainder when 209 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/6 - 59*w**4\/6 - 103975*w**3\/3 + 34668*w**2 = 0.\nAnswer: -428, 0, 1, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1144, 1144, 1142, 1138?\n\"Answer: -w**2 + 3*w + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (sqrt(51)\/sqrt(3)*-1)**2 + sqrt(17) + sqrt(17)*1 + 0.\nAnswer: 2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6005, 24012, 54025, 96044?\nAnswer: 150069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (240\/864)\/((-10)\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1145847?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305171.8 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 28*t**3 + 6*t + 6. Let r(m) = -m - 1. Let v(z) = z**2 - 7*z + 12. Let a be v(6). Calculate a*r(k) + q(k).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3816670 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3683 by 18.\nAnswer: 3683\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 43473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-622)\/((-11776)\/(-42343) + (0 - (-2)\/(-7)))?\nAnswer: 263, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = -2*g + 9, -4*g - 5*q = -18. Suppose g = -5*b + 17. Solve 3*t - 2*f = -4*f + b, 5*t - 5 = 5*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01179479621 to 6 decimal places.\nAnswer: -0.011795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 849 and 54053.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, and 1 e when three letters picked without replacement from eqloekkd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67.8 + -1.2. Let k = o + 69.02. Let c = -1 - -1.1. Is k at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84063021231 + 0\nAnswer: -84063021231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 12673*m - 1786975. Give s(-138).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:16 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*h**2 - 21*h**2 - 23*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + ((sqrt(192) - (sqrt(192) + -1))*-5 + 0)**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45576 - 2847*k + 45576 to the form w*k + g and give w.\nAnswer: -2847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170690 and 119990.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880700943?\nAnswer: 3, 179, 719, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*q + 15 = 0, 11 = m + 3*m - q. Suppose -77 = -3*h + u, -m*h + 2*u = 6*u - 97. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/5 - 172*f**3\/5 + 1864*f**2\/5 - 5328*f\/5 + 4608\/5 = 0.\nAnswer: -96, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4444 and 16044052.\nAnswer: 176484572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**5 + 182460*p**4 - 364856*p**3 - 2189368*p**2 - 2554308*p - 912260 = 0.\nAnswer: -1, 5, 45613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2, 5*b + 2*s = -0*s - 31. Let p(u) = -2*u**2 - 9*u + 7. Let g be p(b). Let t be -2*(g\/8 - -1). Solve -t*o = -2*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 0.2, 0.08, 3, 0.52, -4 in decreasing order.\nAnswer: 3, 0.52, 0.2, 0.08, -3\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 28*a**2 - 92*a + 29. Determine r(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1087 - 4?\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3296368t in nanograms?\nAnswer: 329636800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(143)*2 - sqrt(143))*-5)\/(sqrt(1584) - ((sqrt(1584) - -3*(-2*sqrt(1584) - sqrt(1584)) - sqrt(1584)) + sqrt(1584))).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q - 118 + 118)*(-5*q + 5*q - 3*q**2) - 3*q**3 + 30*q**3 + 11*q**3 to the form u + m*q + g*q**3 + w*q**2 and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 6*v. Suppose v = -h - 0*h + 9. Let q = 16 + -12. Calculate the remainder when h is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2, 3*j = -4*h + 4*j + 21. Let l be (0 + (-7200)\/21)\/(h\/665). Round l to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -34260.1018.\nAnswer: 171300.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 100*j**2 + 1022*j - 47150. Give a(51).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00958 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -50*l + 37. Let z be v(5). Let x = z - -208. Let h(c) = c**3 + 5*c**2 - 8*c + 7. Let i(d) = 2*d**3 + 8*d**2 - 12*d + 11. What is x*i(r) + 8*h(r)?\nAnswer: -2*r**3 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5 - 61*v + 53*v + 1 - 5 + v**2. Let o be x(8). Let i = 13 + o. Solve i = 4*k - 4*q, -k - q + 7 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 18\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 177, -1\/2, 2, 5 in decreasing order.\nAnswer: 177, 5, 2, 1\/14, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -30. Suppose f + 6 = 3*f, 0 = 2*c + f - 7. Suppose s + 14 = j - 0*s, 3*j + c*s = m. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(6\/15340))\/((-40)\/(-8100)*-27)?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57805 is divided by 235.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 - -263. Let s = -71 - -137. What is the highest common divisor of a and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 5*l**4\/12 - l**3\/3 - 4*l. Does 6 divide x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-75))\/((-1)\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11124755 is divided by 1112475.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.3 + 206.3. Let l = u + -170.2. Let v = -0.2 + 0.7. What is the closest to -2 in -0.3, l, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7264?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11230 (base 4) in base 6?\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n - 1 = -128*n + 7 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.09401 to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4496 and -71\/2810.\nAnswer: 22480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11020 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 2*m**5 - 2*m**4 + (2*m**5 - 7 + 7)*(-1 + 1 - 4) - 3*m**5 + 0*m**5 + m**5.\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1164 + -1321. Is -473\/3 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146890.7 + 146884.800092. Let n = o - -5.9. Round n to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000006375 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 116*b**3 + 7*b**2 - 653*b - 660. Give k(-1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.28 or 230940?\nAnswer: 230940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3880 + 3876. Is t at most -51\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1472630339 - 1472630405.9999871. Let z = 220 - 153. Let m = z + p. Round m to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 5)*(-1 + 1 - 4)*(-6*l**2 + 0*l**2 + 0*l**2) + (l + 0*l - 3*l)*(4*l + 2*l - 5*l) in the form q*l**2 + k*l + a and give q.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43\/((-12)\/3 - -5). Let q = 55 + o. Let b = q - 45. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 7*t - 224 = 0, -6*z - 3*t = -5*z + 204 - 108 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240240 (base 5) to base 6.\nAnswer: 104500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230.797 - 248.096716. Let p = -17.3 - o. Round p to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 9\/2*l**2 + 3 + 2*l + 1\/3*l**3. List the prime factors of q(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*o - 162*o = -4. Suppose -36 = -2*f - o. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752*k**3 - 10 + 10 - 723*k**3.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 2*d**4 - 2*d**4)*(-3 + 3 + d) + d**5 - 13*d**3 - 36*d**3 - 5*d**3.\nAnswer: -d**5 - 54*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24\/29, -2.2, 5, -4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*h*p*y + 181*h*p - 13*h*y**2 - 18*p*y**5 - 4*p*y**3 + p*y + 1 wrt y?\nAnswer: -26*h - 360*p*y**3 - 24*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 149574280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/300587 and -59\/903.\nAnswer: 38775723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(405) + -1 + -1 + 6*(2 + sqrt(405))*-6)**2.\nAnswer: 47250*sqrt(5) + 501752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 1 - 2 + 5*s**2 + 8241*s - 8243*s)*(-s + 5*s - 3*s).\nAnswer: s**4 + 5*s**3 - 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 3, -184, -138 in ascending order.\nAnswer: -184, -138, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826662609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u - 4. Let c(i) = -3*i + 4. Let w(l) = 3*c(l) + 2*q(l). Give w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/4, -0.1, -0.052.\nAnswer: -3, -0.1, -0.052, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 6, c: 2, o: 1, r: 4}. What is prob of sequence ygrg?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -349623659*k**3*p**2 + 601698223*k**3 wrt p?\nAnswer: -699247318*k**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -344071490 by -161.\nAnswer: 2137090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16)\/(-3))\/(24\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 868611.149958 - 868614. Let x = w + 2.818. Let p = -0.032 - x. What is p rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 45 = -6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191072 divided by -3?\nAnswer: 397024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*o - 2*o = 10916, -10916 = -2*v + 4*o. Suppose -1252 = 3*d - v. Suppose 2*h + u = -u + 2804, 0 = h - 3*u - d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0 + 8\/3*p**3 - 2*p**2 - 3\/8*p**4 + 1\/30*p**5 + 0*p. What is the tens digit of m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/1 + 0 + -5. Suppose 0*k - 16 = 4*k, -3*r + 23 = -l*k. Solve 2*q - 31 = -5*c - r, -23 = -2*c - 3*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f = -54*f - 31 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -3713366?\nAnswer: 3713367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c2c - -418?\nAnswer: -8814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/126 and -83\/173556.\nAnswer: 1214892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.174 - -0.422. Let t = -55.096 + n. What is t rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 - k - 1. Let s(f) = 109 + 105 + 101 - 311 + 4*f + 13*f**2. What is -7*n(v) - 2*s(v)?\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcclcwucurriluwl. Give prob of sequence lw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10602793, 2\/9, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8047.\nAnswer: 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23449105 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36\/11 - 208\/77. Factor -2\/7*c**2 - a*c - 2\/7.\nAnswer: -2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 8) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 4 (c) 8 (d) -9 (e) 5 (f) -28\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738202642 to the power of 1\/2, to the nearest integer?\nAnswer: 41692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -510, -556, -692, -966, -1426?\n\"Answer: -8*k**3 + 3*k**2 + k - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1 (c) -681 (d) -66 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68590 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82490, -165093, -247696, -330299, -412902?\n\"Answer: -82603*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**9*(g\/(g\/g**17))\/g**(-20) assuming g is positive.\nAnswer: g**(277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -25, 1, 25, 47, 67?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 0*l - 1180 = 0. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53574024 is divided by 17857989?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - g + 19*g + 16*g in the form y + q*g and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2420.3 and 4.\nAnswer: -2416.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -116, 5, -4, -1 in decreasing order.\nAnswer: 5, -1, -4, -13, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1918 by -137.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3366, 29499, 100406, 238473, 466086, 805631, 1279494?\nAnswer: 1910061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144284 and 108213?\nAnswer: 432852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*f + 5 + 27*f + 53*f + 82*f + 51*f.\nAnswer: -23*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/5, 40, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-28) - (-100)\/28. Let n be 1 + 2 + 0\/w. Solve t = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 a factor of 17256560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-18 + 17 - -22) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232101 (base 4) in base 3?\nAnswer: 1012011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 12, -5 in decreasing order.\nAnswer: 12, 0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*d**4*w - 349*d**4 + 9*d*w - 5*d - 7*w + 12 wrt d?\nAnswer: 540*d**2*w - 4188*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 233?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 7*f = 5*b - 280, -5*b = f - 280. Solve b*v = 4*w + 51*v - 9, -5 = 5*w - 3*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322 - 321. Let r = 377\/47 + -8. Let i = r - 103\/423. Which is the closest to -1? (a) o (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 11. Suppose 2*c + 3*c = h. What is the first derivative of 3*l**2 - 6*l**2 - 12 - 13*l**2 + c*l**2 wrt l?\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 425*o**2 - 60*o + 54. Let z(m) = -1692*m**2 + 242*m - 215. Let i(q) = -9*b(q) - 2*z(q). Let c(p) = -40*p**2 + 5*p - 5. What is 56*c(k) - 5*i(k)?\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4cb78 + 4c5?\nAnswer: -4c683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106.95 + -100.94999. Let y = p + -6. Round y to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 42*y + 2356. What is the units digit of m(95)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j - 22 + 10 - 5*j - 6*j wrt j?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*l + 6 + 52 - 17 + 31 + 168*l.\nAnswer: -377*l + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(637) + sqrt(637) + -2*sqrt(91)\/(sqrt(63) - sqrt(7)) - (2 + sqrt(325) + 4 + (5 + sqrt(325) + -2 - sqrt(325))))**2.\nAnswer: 486*sqrt(13) + 9558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6*c = -24, 20*y - 12 = 16*y - 2*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -650 greater than or equal to -649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let h be q(-5). Let f(y) = y - 2. Let o be f(3). Suppose 3*m + 5 = a + o, 0 = -4*m + h*a - 20. What is m rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.1 (b) -28 (c) 1997\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 40\/100 + 51\/60\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let j(f) = -5*f. Let c(s) = 4*s. Suppose -2*b + 3*b = -4. Let x(a) = b*c(a) - 3*j(a). Give h(x(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 - -11. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216192045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/40*(-4)\/(-12). Let s(r) be the second derivative of 0 - 1\/60*r**4 - m*r**3 + 0*r**2 + 12*r + 1\/100*r**5. Determine n, given that s(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2157 - -2159. Let v(a) be the first derivative of 2\/3*a**d + 11 - 2\/9*a**3 + 0*a. Factor v(y).\nAnswer: -2*y*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 99*a - 72 = 0. Calculate a.\nAnswer: 3\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537 (base 9) to base 7.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202010022 - 12?\nAnswer: 1202010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:30 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.1 - -12. Which is the biggest value? (a) 13 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0.4, 23, 773, 0.1 in decreasing order.\nAnswer: 773, 23, 21, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(684) + 3) - (2 + -4*(0 + sqrt(684))).\nAnswer: -14 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 12\/(-4) - 6. Let u = y + 5. Suppose -q - u = -5. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(364)\/(sqrt(42)\/(1*sqrt(6))).\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 2*x**2 - 54*x + 23. What is p(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 352.995.\nAnswer: 1058.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k - 2 = -64*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 264 + -263. Let a(b) = -b**2 + 2*b - 1. What is a(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*q*s**6 + 3*q*s**4 - 450*q*s**2 - 2*q*s + 18*s**4 - s**2 + 2 wrt s.\nAnswer: 1800*q*s**3 + 72*q*s + 432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 4, 9, 16, 25, 36, 49?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 5*i - 12, i + 65 = 5*l + 45 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118890000 rounded to the nearest 1000000?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 21. Let j be t(-10). Let d be (-7 + 3 - j)*-1. Find the first derivative of 31*h**d - 7 - 20*h**3 - 3 wrt h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2005\/4 - 17753\/36. Find the common denominator of r and -89\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948377 greater than or equal to 948372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by 2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 129 = -13*y + 261 - 196 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 5*t + 110, 4*m + 5*t = 135. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 506 + -501. What is the remainder when 81 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154646438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4008 (base 9) to base 6\nAnswer: 21312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8 - 19.2. Let p = l - -32. Which is the second smallest value? (a) -0.3 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -31*j - 5. Let l(s) = -1. Determine 6*l(m) - u(m).\nAnswer: 31*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -427. Let r = -306.8 + u. Which is the fourth smallest value? (a) r (b) 0.1 (c) -2\/9 (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 61, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 107828?\nAnswer: 107828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000063041767 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125540, 250824, 376104, 501380, 626652, 751920, 877184?\nAnswer: 1002444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -6. Let h(d) be the first derivative of d**2\/2 - 7*d + 1. What is the units digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3235 - 2*a + 3299)*(-3 + 4 + 2)*(a - 2*a + 0*a).\nAnswer: 9*a**2 - 192*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - 30\/(-9). Let g = x - 14. What is the units digit of 1 + (-2 + g)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:21 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x - 8. Suppose -283*h - 368 = -329*h. Determine a(h).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 + z**3 - 4*z**3 - z**3 + 0 + 0 - 3*z**3 + z - z + (-z**2 - 3 + 3)*(-z + z + z) + z**3 + 4*z**3 - 2*z**3 - 2*z**3 - z + z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3) + ((-1)\/1 - -3). Suppose -140 = -x*y + 6. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2*f**3\/51 - 42*f**2\/17 - 882*f\/17 + 253. Factor d(a).\nAnswer: -2*(a + 21)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + (5 - 6 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3) + 0 + -3 + (1*sqrt(576))\/sqrt(12))*-3*-1)**2.\nAnswer: -450*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 11*t**2 - 13*t + 17. Let l be d(12). Suppose 2*a + 4*q = 22, l*a + 4*q - 19 = 3*q. Let z(o) = o**3 - 5*o**2 + 4*o - 3. Calculate z(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2489 - -2501. Which is smaller: m or 260\/23?\nAnswer: 260\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 6*w + 4. Let i be q(2). Suppose i = -x + 6*x - 2*f - 21, 4*f + 15 = x. Suppose -3140 = -x*j - j. Is j 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 {l: 2, n: 10}. What is prob of picking 3 n?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/22 and (-6)\/8 + (-750)\/900.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 - (9 - 77)) + -56?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 5. Let p(g) = 25*g - 14. Let u(a) = a. Let z(o) = -p(o) + 2*u(o). Calculate -11*m(x) + 4*z(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 134604 + -1502770?\nAnswer: -1368166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/18 + -2 + (-64)\/(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 61*r - 154. Let f(y) = -35*y + 88. Let h(m) = -7*f(m) - 4*i(m). Let g(v) = -2*v + 940. Determine h(g(z)).\nAnswer: -2*z + 940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + -2. Let w = -24 - c. Let t be (1 + -11)*(6\/5)\/(-2). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/36*6\/4 - -3. Suppose -l - 2*l - 50 = 2*w, -f*l + 3*w - 115 = 0. Let k(t) = t + 6. Let h be k(l). Put 3, -4, h in descending order.\nAnswer: 3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4312\/(-21))\/28*-2.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 + 2 + 1. Let j = 23 + -10. Suppose -4*u + j = u - 3*d, -m*d = 4. Solve -u*g - 2*g = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5*j**2 + 5*j. Let m be 4\/8*(-12)\/(-2). Suppose -o + 2*h = -3*h + 17, -3*o + m*h = 3. Calculate the remainder when y(4) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656*a - 1650*a - a**3 - a**3.\nAnswer: -2*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 6*l**2 - 2*l + 2. Let b be (4\/(-10))\/(4\/60). List the prime factors of a(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -20*a**2. Let z(i) = 0*i - 3*i - 4*i + 9*i. Determine q(z(v)).\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-414) - (((-6)\/(-18))\/((-3)\/(-188)) - 21)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h**4\/3 - 11*h - 14. Let z(x) be the first derivative of i(x). Give z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 + 5*w - 2. Let x(b) = 3*b**2. Let o be x(-1). Let z = o + 0. Let a be f(z). Solve a*r = -r - 5*q, -5*q = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:09 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/80 and 57\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let z = 3790 - 3779. Solve 7 = o*q + z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 + 8*g**3 + 2*g**3 - 8*g - 38*g**2 + 38*g + 2*g.\nAnswer: 2*(g - 2)**2*(5*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290647 is divided by 2210?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + 35*h**4 + 74*h - 36 wrt h.\nAnswer: 20*h**3 + 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -9*w**5\/5 + w**3\/3 + w**2 - w + 43. What is the second derivative of y(t) wrt t?\nAnswer: -108*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 251348325, 251348327, 251348329, 251348331, 251348333, 251348335?\n\"Answer: 2*s + 251348323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113443134 - 1111?\nAnswer: 113442023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Calculate the remainder when 51 is divided by (-50 + -2)*w\/(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133425023 + -1?\nAnswer: -133425024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*r = 10, 4*r = 2 - 14. Is (-2)\/d - (-2 - 419) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20355 or 20344?\nAnswer: 20344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1272)\/91 - (1755\/(-78) - -26)*-4\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 36 (c) 3325519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/4 + (-8)\/32. Suppose 5*q = r*q + 24. Let p(t) = 2*t - 5. Is p(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -73. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.139638 days in minutes?\nAnswer: 1641.07872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrprzzsrsss. What is prob of sequence zrs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20410465.\nAnswer: 5, 19, 181, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 107, 99, 89, 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368.6996 + -0.3.\nAnswer: -368.9996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -26) + (-9)\/3. Let s be 6\/(1 + -4) + 146. Let b be (s\/(-84))\/(1\/(-7)). Calculate the highest common factor of w and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 36 = -4*n. Suppose -3*h + 26 + 1 = 0. What is the greatest common divisor of h and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/9)*j*j**6\/j*(j\/(j*j**(1\/7)))\/(((j**(1\/4)*j)\/j)\/j) assuming j is positive.\nAnswer: j**(1721\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**5 + 2696*a**4 - 129580*a**3 + 1546904*a**2 + 1949168*a - 3369184 = 0.\nAnswer: -2, 1, 26, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 624771817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2*3\/2. Suppose 2*z + g*n = 4, 0 = z + n - 3*n - 6. Suppose 0 = -z*a, 261000 = -3*b + 2*a - 6*a. Round b to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:15 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -9. Let u be i + 0 - -51 - 3. Let z = -32 + u. Let s(a) = 11*a**3 + 14*a**2 + 11. Let w(d) = 4*d**3 + 5*d**2 + 4. Calculate z*w(j) - 6*s(j).\nAnswer: 2*j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) 0.5 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 115 = -9*a. Let d = -16 - a. Is d\/3 - 3 - 4692\/(-18) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -6*n + 2*n - n**c + 3*n**2 + 0*n**3 + n + 1 = 0. What is n?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -90*m - 443. Let t be b(-5). Let p(n) = -n**2 + 5*n - 10. Determine p(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 177504, 177656, 177814, 177978, 178148?\n\"Answer: 3*r**2 + 143*r + 177358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 2, h: 1, o: 1, k: 1, t: 1}. What is prob of sequence ko?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4934*s**3 - 1143*s**3 + 676*s**3 + (4 + 3*s**2 - 4)*(1 - 3*s - 1) + (-2 - s**3 + 2)*(3 - 1 - 3).\nAnswer: -5409*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 3. Calculate h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 + -246. Let f = b + 263. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*m = 4*v - 26, 3*v + 4*m = -14. Suppose -2*l - 2*k = -304, -l = v*l - k - 436. Calculate the least common multiple of 15 and l.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -z - 139 + 73, -24 = q - 4*z for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1329*s - 566219. Give f(-426).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2376, -4756, -7134, -9510?\n\"Answer: s**2 - 2383*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-1296))\/((-945)\/720).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36018, 144271, 324760, 577485?\nAnswer: 902446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 9*n + 10. Let t = -436 + 428. Give v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262516 + -8875587\nAnswer: -8613071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.7 - -34.911. Let k = 0.24 - b. What is k rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:35 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1887 + 4016. Let c = -2103.57 + d. What is c rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (43 + -54 - (6 - -3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 0*a - 16\/3*a**3 + 19 + a**4 + 6*a**2. Factor q(j).\nAnswer: 4*j*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 1\/8*f**6 + 0*f**2 + 3\/20*f**5 + 0*f - 3\/16*f**4 - 1\/4*f**3 - 5. Factor j(z).\nAnswer: 3*z**2*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6)*(8 + (-330)\/42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20731, 166393, 562151, 1333177, 2604643, 4501721?\n\"Answer: 20862*f**3 - 124*f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 102022000100?\nAnswer: 102022000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 1. What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 47. Let j be r(-2). Let s = 851 + j. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 440*t. Let r(m) be the second derivative of m**4\/3 - 365*m. Calculate p(r(x)).\nAnswer: 1760*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3371 + 3370.7. Let q = -5880\/17 - -346. What is the closest to v in q, -0.5, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 192966254.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1513 + 1513 - 311*o in the form x*o + m and give x.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34580, -34579, -34578, -34577, -34576, -34575?\nAnswer: -34574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - 3*k**4 + k**5 - k**2 + (2 - 2 + 3*k**4)*(0 + 0 - 2*k) + k**5 - 3*k**5 + k**5 + 2*k**4 - 2*k**4 + 2*k**5.\nAnswer: -4*k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32878b (base 13) to base 2\nAnswer: 100100010011111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.798831174 to 2 dps.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37771917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1757994 divided by 16.\nAnswer: -878997\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39146904 + 704409491\/18. Let y(f) = 37*f**3 - 6*f**2 + 7*f - 6. Let j be y(-7). Let r = d - j. What is the common denominator of r and -23\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52cb5e + -2?\nAnswer: 52cb5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -21120 (base 3) in base 12?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 6. Let m(l) = -3*l**2 - l + 4. Suppose 0 = -11*b + 18*b + 14. Let r be m(b). Let a be n(r). Solve a*o - o - 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**4\/4 - k**3\/3 - 6*k**2 + 8. Let p be u(4). Suppose -4*w + 614 + 154 = p. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*g + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*s + 5 = -9, -12 = 4*j - 2*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58081, -116138, -174167, -232150, -290069, -347906?\n\"Answer: 3*d**3 - 4*d**2 - 58066*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764688 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 66. What is the third biggest value in t, -3\/8, 9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n + 47. Let h be a(3). Suppose 0 = -x - 2*x - h*c - 10, 25 = -2*x - 5*c. Solve 15*i - 10*i - 10 = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 1574*i**3 - 94599*i**2 + 93024*i.\nAnswer: i*(i - 57)*(i - 1)*(i + 1632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000698097201 to 7 dps.\nAnswer: 0.0006981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135950, 1087556, 3670490, 8700416, 16992998, 29363900, 46628786?\nAnswer: 69603320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 4652 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(((sqrt(112)\/sqrt(72) - sqrt(14)) + sqrt(14))\/(1*sqrt(1008)) + -1))**2.\nAnswer: -9*sqrt(2)\/2 + 649\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Let j be 2\/(-10) + 231\/105. Solve j*d + n + 0*n = -h, 5*n = 4*d - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)\/j*j**(1\/2)\/j)\/(j\/((j*j\/(j*j**0))\/j)*j**(1\/5)) assuming j is positive.\nAnswer: j**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000 + 1001 + 998 - 28392*j - 2999.\nAnswer: -28392*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*4*5\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 7*m**2 - 9*m - 7. Calculate the remainder when 112 is divided by n(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1050201538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-137)\/(7124\/1092) + 77\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmxxmmmmmmmmmmm. Give prob of picking 1 m and 2 x.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3159))\/(-1*sqrt(3)*-3) - (sqrt(468)*4*6 + -2).\nAnswer: -138*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.13018 + -0.4\nAnswer: -0.26982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 1413648.\nAnswer: 1413648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 - 3 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23247, -46429, -69611, -92793, -115975?\nAnswer: -139157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102290 is divided by 34090?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2283786?\nAnswer: -4567572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1791 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(7602\/1413972)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwmem. Give prob of picking 1 h and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1992367.\nAnswer: -199236.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70782 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4*r + 36. Let p be q(8). Solve -2*s + 8 = p*z, -z + 4 = 4*s + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.9 - -0.1. Let t = z + -8.1. Let i be 1\/(2\/8) + -2. Put i, t, 1 in decreasing order.\nAnswer: i, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrzr. What is prob of sequence rr?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323908951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 4 = 4*y. Suppose 22 = w - y. Is w a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 423*m**2 + 5642*m - 34346. Give t(-409).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 13*s**2 - 11. Let x be (1 - 2) + 2 - -4. Let g = -11 + x. Let a(h) = -7*h**2 + 6. Calculate g*j(f) - 11*a(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Sort -4, d, 0 in increasing order.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*h**2 + 2*h**2 + 0 + 0 + h**2 - h**2 - 2*h**2 + (3*h - h + h)*(0*h - 2*h + 0*h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400.5143 milligrams to micrograms.\nAnswer: 400514.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (180\/27)\/((-15)\/(-18)). Sort d, 0, 5, 2, -5.\nAnswer: -5, 0, 2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 9*n**2 - n - 3. Let o be v(-9). Calculate the highest common divisor of 66 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 777038, 1554078, 2331118?\n\"Answer: 777040*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c**2 - 95*c**2 - 35*c**2)*(14*c + 9*c - 10*c).\nAnswer: -1989*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9439, 18763, 27977, 37075, 46051, 54899?\n\"Answer: -t**3 - 49*t**2 + 9478*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -56. Let z(i) = 13 - 3*i + 2*i - p + 8. What is z(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -918*u**4 + 266*u**2 + 218*u**2 + 55*u**2 wrt u.\nAnswer: -22032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 83 = 5*o. Let n = o + -9. Suppose -4*x - n*l = -38, 2*x + 2*x - 54 = 5*l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748229923?\nAnswer: 11, 158929993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 93.4497?\nAnswer: -94.4497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102744799?\nAnswer: 19, 73, 74077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 140\/98 + 3\/(-7). Let o(y) = -y + 1. Let a(n) = 6*n**2 + 1. Let r(g) = a(g) - 2*o(g). What are the prime factors of r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((152\/(-78) - -2)*(-237)\/158).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23827714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:34 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8.56*4003\nAnswer: -34265.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.312 + 27525604.\nAnswer: 27525602.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -158*q**3\/3 - 1558*q - 687. What is the first derivative of k(i) wrt i?\nAnswer: -316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 16 + 27 = 0. Let k be ((-1)\/(-27))\/(t\/(-3)). Which is the fourth biggest value? (a) 2 (b) 3\/2 (c) -2\/21 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 14*j + 7. Let z(r) = r**2 + 4*r - 2. Let c(p) = 2*x(p) + 7*z(p). Let t(w) = -7*w + w - 3*w. Determine c(t(u)).\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -643, -1054, -1629, -2368, -3271, -4338?\nAnswer: -5569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 45. Let y be 4\/(-12) - s\/6. Let a = 14 - y. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*n - 15, -t + 9 = -n + 3*n. Suppose 4*l - t = 61. Suppose l*w = 20*w - 1004. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(2 + 78\/(-28) - (-62)\/217). Which is the second smallest value? (a) -5 (b) -10 (c) x (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56*(-2)\/(-1)*(-34218)\/119763\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*x**2 + 7*x**2 + 8*x + 2*x - 10*x.\nAnswer: -210*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176233882*k**3 - 195*k**2 - 88380*k - 1?\nAnswer: -1057403292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 40*p - 2 + 2.\nAnswer: 49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -129. What is the greatest common factor of 215 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137505570 and 54846.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741474926 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:24 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/748 and 23\/408?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 4*u**2 + 0*u**2)*(0*u**2 - u**2 + 2*u**2) + u**4 + 2*u**3 - 2*u**3 + u + (4 - 3*u - 4)*(0*u**3 + 2*u**3 - 4*u**3) - 4*u**4 + 4*u**4 - 9*u**4.\nAnswer: 5*u**4 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1555*m = 45326 + 2879 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + 28. Suppose -1624 = -64*f + 35*f. Find the second derivative of -f*m + 15*m + 30*m + n*m**5 wrt m.\nAnswer: 800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 117, -2549 in increasing order.\nAnswer: -2549, 1.5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxoxoooxxxxx. What is prob of sequence oo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 19?\nAnswer: -22\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n = -68*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12*i = -15*i - 74, 0 = 2*i - 4. Suppose 4*j - 3*f + 12 = 0, -11*j + 12*j = -5*f + d. Determine t so that 7\/4*t + j + 1\/4*t**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -3737024.\nAnswer: -1\/116782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, p: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 8) in base 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36011006476 minus 1?\nAnswer: -36011006477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10045979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Let o be -4 + (-1337 + 7)\/(-7). Let z(x) = 88*x - o*x + 88*x. Give c(z(a)).\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:39 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x + 11 - 50. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-10)*133\/((-123291)\/206)*45\/(-2)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -135. Which is the third biggest value? (a) -2\/9 (b) -1\/5 (c) v (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 409 - 421. What is the smallest value in t, -2, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -448 divided by 56\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -3.45.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 1 + 0 - 10 - 15*j. Let q be a(-14). Suppose 2*c - 101 = 3*k, -2*c + q*k - 265 = -7*c. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ff015 (base 16) in base 2?\nAnswer: 11111111000000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 32*w + 3*w**2 - 16*w**3 + 31*w.\nAnswer: -16*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -795 in -0.3, 3, -2\/59, 4\/5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -160474.\nAnswer: 2888532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 19, 45 in descending order.\nAnswer: 45, 19, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21883665.\nAnswer: 3, 5, 1458911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(0 - 4 + 2) - 241*w + 1184*w + 1 + 1751*w.\nAnswer: 2690*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.054195 millennia to years.\nAnswer: 2054.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 5*q**2 - 3*q - 1. Let x be o(3). Let a be (-2)\/(-4) + 20\/x. Suppose 16 = 5*u + n, 0 = -2*u + u - 2*n - 4. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06093872 rounded to four decimal places?\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/12*a**4 + 0*a - 1\/2*a**3 + 0 + 3*a**2. Differentiate i(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w - 2. Let v be t(3). Let x = -16 + v. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 10 = -9*f. Suppose t = -f*r - 54, t - 3 = -r - 57. Let g be 9\/t*(1 - -1). Which is the closest to -1? (a) -2\/11 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/21510 and -50\/18771777.\nAnswer: 187717770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/(-110) + (-4)\/((-240)\/(-21)). Which is the third smallest value? (a) s (b) 2\/9 (c) 0.5 (d) 16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436477098.\nAnswer: 2, 3, 8311, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.426515l to millilitres.\nAnswer: 426.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 4) + 1 - -2. Let s = 4 - 1. Let c(w) = -k - s*w - 5 + w**2 + 6*w. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4389, -8759, -13149, -17559?\nAnswer: -21989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 174. Let p = j + 248. What are the prime factors of p\/10 - 6\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196153 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3760, -3802, -3904, -4090, -4384, -4810, -5392, -6154?\n\"Answer: -4*q**3 - 6*q**2 + 4*q - 3754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 2*v + v + 3*v. Let k(l) = l**2 + 6. Let f(h) = h**2 + 1. Let x(y) = 6*f(y) - k(y). Give i(x(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 8. Let q = -3 - -5. Suppose -4*h + 81 = q*d + k, -2*h + 8 = -5*d. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 0, -4*a - o + 2*o = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.3729mm in kilometers?\nAnswer: 0.0002563729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3405889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47462?\nAnswer: 2, 19, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, -605, 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. Let a be (-4)\/(1 + 0\/2) - -7. Suppose o = 9*k - p*k + 223, o + a*k - 223 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 5*m - 20 = -k, -5*k - 4*m = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173.5 - 34.5. Let k = t + -139. What is the third biggest value in 2\/23, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 11. Let d be o(-11). Suppose d = m - 4 + 11. Suppose -b - 4*v = 20, 11 = -b - 0*v - v. Is b at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 70*b + 176 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -37. Suppose -k = -9*y + 4*y. Let b(h) = 1 - 5*h + 2*h**3 - 15*h**y + 3*h. Determine b(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 + 145. Let t be (o\/15)\/((-6)\/20) + -6. Put -12, t, 1 in ascending order.\nAnswer: -12, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**5 - 355*g**4 + 1430*g**3\/3 + 710*g**2 - 1425*g - 561. Solve x(z) = 0.\nAnswer: -285, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1)\/((-1)\/2). Suppose 68 = i*n - 76. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 - g**3 + 3*g**2\/2 + g - 30. Let t be h(-6). Solve f = -5*i - 20 - 1, -t*i - 7 = -5*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 11*o**2 - 14*o + 3. Calculate the least common multiple of 9 and t(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 52. Find the common denominator of j\/((-735)\/(-14))*558\/(-8) and 23\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**4 + a**4 - 2*a**4)*(-1 - 2 + 4)*(-2 + 0 + 1) as t*a + x*a**4 + n*a**3 + b + o*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 5*i**2 + 3*i + 5. Let c = -18 + 20. Suppose -4*k - 5 = -c*a + 7, 0 = 2*k - 4*a - 6. What is q(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from {d: 1, v: 1, s: 1, n: 2, t: 2, y: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-768)\/18)*2\/6*4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 233999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 201295.74 months?\nAnswer: 1677.4645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l - 1. Let c(y) = -y**3 - 6*y**2 - 8*y - 3. Let v be c(-5). Suppose 4 = -2*t - 2*p - 2, 0 = -4*p + v. Is j(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4313 (base 8) in base 12?\nAnswer: -1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*k = -17389 - 19109 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -427*l + 13. Let h(p) = -426*p + 10. Determine -5*h(z) + 4*v(z).\nAnswer: 422*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 9835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*d - 203*d - 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4000, 7998, 11996, 15994?\nAnswer: 19992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 54*z**2 + 493*z - 191. Let b be w(-62). Let d be -2*(5\/(-2))\/(-5). Sort 5, d, b, -9 in descending order.\nAnswer: 5, d, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532975.6 rounded to the nearest one hundred?\nAnswer: 533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5356131344?\nAnswer: 2, 467, 716827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11520 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 2, a: 1, t: 1}. What is prob of picking 2 n and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) 0.044 (c) 4 (d) 529\/3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3205 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {v: 1, m: 5, j: 7, i: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69423 and 1239116999.\nAnswer: 1239047576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuddmwmuduwwmm. Give prob of sequence wwu.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 412.430304 to 1 decimal place.\nAnswer: 412.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -y + 2, -8*y = -6*y + 3*c + 17. What is the closest to -1 in 2\/11, 0.5, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}