diff --git "a/data/dm_maths/full_data_2/10137_11255.jsonl" "b/data/dm_maths/full_data_2/10137_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10137_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 11, what is 835 - -2?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10755 and 38609255.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 + x**3 + 39*x**2 - 43*x**4 + 7*x**4 - 3*x + x**3 - 3 = 0. Calculate x.\nAnswer: -1, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(88)\/sqrt(4))\/(-2*sqrt(162)).\nAnswer: 5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11105 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - -75) + 5 - (19 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.1934t to grams.\nAnswer: 584193400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239671605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 9*f - 3. Let s be c(-9). Let l = s + 6. Suppose -24 = -6*z + l*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c*m**2*t*z + 5*c*m**2*z - 2*c*m*t + 3*m**2*t - 384*m*t - 20*t*z wrt z?\nAnswer: 4*c*m**2*t + 5*c*m**2 - 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 2*q**2 + 1. Let v(m) be the first derivative of -5*m**4\/4 - 3*m**3 - m**2\/2 - 4*m + 1. Let u = -38 - -40. Calculate u*v(h) + 9*r(h).\nAnswer: -h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -128. Calculate the highest common factor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 4*b - 153251*b**3 + 153245*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - 13 - (-5 + -3)) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1133730 and 2754.\nAnswer: 3401190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 - 25*p + 6. Let c be r(9). Suppose c*a = 3*g + 106*a - 5546, -a - 5548 = -3*g. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2631 and 958561.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7222\/2343 + 150\/71. Calculate the common denominator of -59\/1806 and q.\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 9 = 0, -882*x + 884*x - 3*v - 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-15) + (-14376)\/9. Let k = -688 - m. Is 36 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 468680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + -2 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/9, 5, 2 in decreasing order.\nAnswer: 5, 2, 1\/5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:28 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 29, -14\/19, -0.014, 0, 0.02?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7\/3))\/b)**(-9)*(b\/(b*b*b\/b**9))\/(b**(-1\/15)\/b) assuming b is positive.\nAnswer: b**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007902 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 929*w**5\/20 - 1391*w**3\/2 - 903*w**2. Differentiate a(n) wrt n.\nAnswer: 5574*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 520090? (a) -3\/5 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 50611424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -327a?\nAnswer: 327d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12352.9956637 + 12353. What is l rounded to 4 decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 108\/5 and 23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14549804 or -189147438\/13?\nAnswer: -189147438\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2. Suppose 0*i - 1 = i. Let d = 1.2 + -0.2. What is the closest to q in i, d, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6218, 12028, 17838?\nAnswer: 23648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 85 = -f + 65, f = -4*z + 90. Let q(o) = -o**2 + 17*o + 94. Determine q(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120122 (base 3) in base 7?\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31751358763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6 - 1 + 6. Let r(t) = t + 5. Let j(g) = -10*i(g) - 2*r(g). Let z(v) = -29*v. What is z(j(a))?\nAnswer: 58*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 11 - 3*j**2 - j**3 + 2*j + 4*j**2 + 2*j**4 - 3*j**2 + 44 to the form k*j**4 + q*j**2 + x*j**3 + t + d*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 174 = 534. Let k = 183 - x. Which is smaller: 122 or k?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -538, -2160, -4864, -8650, -13518, -19468?\nAnswer: -26500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t + 1641*t - 7275 = -36953 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 - 2*k - 9. Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let j(u) = -89*u + 13. Suppose 0 = 5*r + 2 - 32. Let x(d) = 44*d - 6. Let y = -987 - -1000. Let p(w) = r*j(w) + y*x(w). What is q(p(k))?\nAnswer: 1444*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - -5) + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.71453, -1\/3, -0.2, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -3.02. What is the closest to -0.2 in 5, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8933 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrijrj. Give prob of picking 1 j and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2 - 181*a + 246*a - 604*a**3 + 378*a**3 - 1001*a - 2*a**5 wrt a?\nAnswer: -40*a**3 - 1356*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3622 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)**10)**(-1\/35) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644 (base 12) in base 2?\nAnswer: -101001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20845 times -0.056?\nAnswer: 1167.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (4 - -8) - (2 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4076599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 14, 20, 20, 8, -22?\n\"Answer: -x**3 + 6*x**2 - 5*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -62. Suppose 5 = 6*j - v. Let d be 1 + 0 + -1 + 2. Solve j*p - 2 = d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let y(v) = 6*v. Let p(q) = q + 9. Let f be p(-8). Determine f*y(d) - 3*s(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3560 + 3769 = 11*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1\/4 (c) -41051.7 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 36. Solve 0 = -4*n + 5*r - 33, -g*n + 5*n + 3*r - 11 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 7. Let g be o(5). Solve 3*p = -p + 3*y + g, 0 = 3*y - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**3 - 7295*f**2 - 14575*f - 7285 = 0.\nAnswer: -1457, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p**2 + 100*p - 4. What is b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123007 + 123030 = -v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -4 - -5 - -9 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221030 (base 4) to base 3.\nAnswer: -10121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 27.21. Let b = z + 0.39. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**3\/3 + 8*b. Let x(n) = n - 2. Let y(f) = -4*f + 11. Let p(d) = 33*x(d) + 6*y(d). Determine p(r(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6349 + -76279\/12. Let c = 6307\/254 - -1\/381. Find the common denominator of q and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 67. Which is the nearest to 1\/4? (a) d (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)\/(6\/(-78)). Let p(h) = h**3 + 17*h**2 + 17*h + 23. List the prime factors of p(z).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -5, 60\/7, -1387\/7 in descending order.\nAnswer: 12, 60\/7, 2, -5, -1387\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 15*c**3 + 0*c + 2*c)*(-5*c**2 + 3*c**2 + c**2).\nAnswer: 15*c**5 - 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v**3 + 147*v**2 - 30*v + 9. Give u(-7).\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 - -9 - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 20, 26, 34, 44, 56?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/(-2*1\/(-18)). Suppose 2*a - 12 = -f, 2*f + 0*f + t = 5*a. Solve 3*q = -f - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7 + (-3638)\/119 + 5. Let z(l) = -338*l + 195. Let c(d) = -84*d + 49. Let y(k) = m*c(k) + 6*z(k). Differentiate y(x) with respect to x.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 2. Let h be (4\/(-5))\/((-2)\/(-5)). What is the remainder when 9 is divided by f(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, -10\/7, -26432?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 c when three letters picked without replacement from ggmbgwgggvmggwcgcgc?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*t - 18. Let d be (2\/(-6))\/(t\/18). Suppose 2*w = -2, u + 2*u - d*w = 522. Does 40 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose -5*h + 3*h + 5*k = -25, -4*h = -5*k - 25. Let n = -852 - -852.1. Which is the closest to n? (a) h (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646488473?\nAnswer: 2719, 237767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*q - 3*k + 40, -2*k = q - 10. Suppose q*b + 8 = -3*p + 6*b, 0 = -p - b - 1. Solve 5*x - 30 = -3*d, -2*x - p*d = -0*x - 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 729035*j - 7290250 = 0. What is j?\nAnswer: -729025, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 5*b - 3*b. Let h = -136 - b. Suppose -5*m = i - 240, -i + h = 2*m + 3*i. What is the remainder when m is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 94195391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, f: 2, u: 2, k: 2}. Give prob of sequence ki.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -331, 2729, 7989, 15449?\n\"Answer: 1100*d**2 - 240*d - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ca730 (base 13) to base 5.\nAnswer: 142042332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = 0, -5*t + 19 = -5*g + 9. Factor -g + 1\/2*b + 3\/2*b**2 - 1\/2*b**4 - 1\/2*b**3.\nAnswer: -(b - 1)**2*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d2e79 (base 15) in base 4?\nAnswer: 2203013223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16359 is divided by 8179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.55388 + -96.6. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2435832 and 131\/6804?\nAnswer: 2435832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 + 6*i + 14. Give g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 19*l - 82. Let m be s(27). Suppose -179 = -5*j - 2*x, 0*j - 4*j + 3*x = -m. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-15) + -33 + 68112\/90. Solve -65*o + u = 139 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -39 + 15 - (-6 + (0 - 0)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k + 72*k**3 - 144*k**3 + 6*k**3 - 99*k - 110*k + 321*k.\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -24 + 8 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -128*n**2. Let d(p) = 251*p**2. What is a(d(s))?\nAnswer: -8064128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = b + 37 - 33, 0 = -3*b - l - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1566 and -41\/24.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccci when four letters picked without replacement from {o: 1, i: 1, a: 7, c: 5}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 12*a**2 + 2*a. Let u be s(-4). Suppose -3*m + 183 + u = -2*c, 4*c + 234 = 2*m. Let h = m + -40. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 24. Let k be ((t - -1)*(-4 + 3))\/3. Suppose -3*y + 20 = -k*z + z, 2*y = 5*z + 36. What is the highest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6 - 6*g + 312*g**3 + g**2 - 266*g**3 + 1. Let c be n(-2). Round c to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - 345\/(-92)*1\/(-3). Which is the third biggest value? (a) -1\/22 (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 m when three letters picked without replacement from {b: 1, r: 1, x: 1, m: 1, g: 4, t: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2115 + 2118. Solve -8*q + i = -13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**3 - 10*a + 7. Let f(k) = 7*k**3 + 9*k - 6. Give 6*f(n) + 5*o(n).\nAnswer: 2*n**3 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 17*v**4 - 14*v**4 + 30*v**4 + v**2 - 2*v**3 - 16*v as t*v**3 + r*v + x + d*v**2 + y*v**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 45 (b) -0.5 (c) 103 (d) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 + k + 30. Suppose 2*v - 7 = v. Let q = 7 - v. Does 10 divide g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 75489*b**2\/2 + 7707681*b\/2 - 196612191\/2.\nAnswer: -(b - 51)**2*(b + 75591)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 694, 686, 678?\n\"Answer: -8*j + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131745 (base 8) in base 12?\nAnswer: 22799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*t)*(-8*t**3 + 3*t**3 + 3*t + 4*t**4 - 3*t**4).\nAnswer: 2*t**5 - 10*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 8*r - 7. Determine m(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 - 2.88. Let l = h - -7. Let o = l - -0.18. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53.241 tonnes?\nAnswer: 53241000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31899768 by 7974942.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -r + 350 - 352, 0 = r - 0*z + 2*z + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4607 by -271.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10400 (base 8) to base 16.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d + 420. Suppose 2*o = -2*o - 4855 + 5215. Let u = d + o. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(49) + -3*(1*sqrt(49) + sqrt(49)))\/(sqrt(224)\/sqrt(8)) + sqrt(3087) + (sqrt(42) - (sqrt(252)\/sqrt(6) + sqrt(42)))\/sqrt(6))**2*-1.\nAnswer: 25725\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 - 6 = 0. Let h(b) = 4*b**3 - 3*b**2 + 10*b - 10. Let q(k) = -k**3 + k**2 - 3*k + 3. Let u(x) = j*h(x) - 7*q(x). Give u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = 0, 5*x - 2*f = -6*f - 24. Sort x, -2, -6 in decreasing order.\nAnswer: -2, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16769619 to the power of 1\/2, to the nearest integer?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 1. Let s(l) = -21*l + 212. Let z(v) = 5*f(v) + s(v). Is 22 a factor of z(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -147\/5. Which is the smallest value? (a) t (b) -1 (c) -1\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060639 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2387, 4772, 7147, 9506, 11843, 14152, 16427, 18662?\nAnswer: 20851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (152 + 202 - 439)*(-b + 2*b - 3*b + (-b - 6*b + 5*b)*(4 - 1 - 5)) to the form g + h*b and give h.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1918 - 1916. Solve -o - z + 0 + 3 = 0, 5*o - 8 = n*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 510 - 507. What is the thousands digit of ((-1)\/c)\/((-2)\/7212)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -29. Let o be 5 + (-18)\/4 + 15\/(-30). Solve o = i - g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 285, 439, 609, 801, 1021, 1275, 1569?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*9946729\nAnswer: -49733645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeqvvqmueezqqe. What is prob of picking 3 e and 1 q?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 32. Suppose -j + 2*g + 75 = 0, 0*g = 5*j + f*g - 323. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(364)\/sqrt(7)*5.\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 68. Find the second derivative of -12*k**2 - 13*k**2 + 11*k**w - 9*k wrt k.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, r: 8}. Give prob of picking 2 i and 2 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -28990 plus -1.474?\nAnswer: -28991.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2. Let q(y) = 5*y**2 + 6*y + 6. Suppose -30 = -2*z + 7*z. Let n(o) = -14*o**2 - 17*o - 17. Let c(a) = z*n(a) - 17*q(a). Determine c(j(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 107*y**2 + 183*y + 0 - 364*y + 181*y to the form r*y**2 + t*y + w and give r.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*4*(-48)\/160?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5868 divided by 1075.\nAnswer: -5868\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u. Let o(m) = -15*m. Let y(g) = 24*j(g) - 5*o(g). Let k(p) = p**2 - 17*p**2 + 15*p**2. What is k(y(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -403113 (base 5) in base 2?\nAnswer: -11001001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5023355134*z**2 + 5023355134*z**2 + 15*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (409 - -4) + 6\/(-3). Suppose -4*p + 2*k = p - q, -4 = -2*k. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 52*l + 3. Let r(q) = 140*q + 9. Calculate 24*a(b) - 9*r(b).\nAnswer: -12*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((126\/(-122) + 1)\/2). Let r = -49 - y. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -36. What is the common denominator of -149\/24 and v\/(-2) - 94\/(-26)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/6 + a**3\/3 + 3*a**2\/2 + 4*a. Let y(d) = 3*d**2 - d - 2. Let j(g) = -4*t(g) - 3*y(g). Let b = 26 - 31. Calculate j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 2*x. Determine l(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2574*o - o**2 - 2574*o + 0*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 302321140?\nAnswer: 302321210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 5*q + 1715, 5*q + 20 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44814 and 462?\nAnswer: 44814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21985?\nAnswer: 5, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -30.9. Let g = 3.9 + j. Sort -1\/4, -9, g in descending order.\nAnswer: g, -1\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -9720.\nAnswer: 1\/3240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -612 - -619. Which is smaller: 10 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -6 + (-12)\/(-9)*3. Let b = 6 - 10. Let l be 2\/b + -1 + 1. What is the closest to l in 1\/3, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 8. Let i = w + 6. Let u(n) = n**3 - 12*n**2 - 19*n + 21. What is the hundreds digit of u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 22.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4074*c**4 - 40*c + 596 wrt c.\nAnswer: -48888*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**7\/3360 - h**6\/480 + 5*h**4\/24 + 2*h**2. Let f(p) be the second derivative of n(p). Determine s so that f(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:36 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4*z - 796*h**2*z - 4*h**2 + 3*h*z - 2*h - 374 wrt h.\nAnswer: 24*h**2*z - 1592*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*l = 3*a - 176*l - 9, -4*a + 11 = 3*l. Let t(n) be the first derivative of 0*n**a + 0*n + 2\/3*n**3 - 7. Let f(w) = 8*w**2. Calculate f(t(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*h - 94 + 123, -94*h - 5*v = 421 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70915829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 11*w**2 - 22*w - 10. What is the remainder when 672 is divided by h(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49541.\nAnswer: 107, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 2, z: 2, v: 4, b: 1, r: 1}. What is prob of picking 1 b and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:49 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5627401 - -530.\nAnswer: 530.5627401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4704576*t - 82520434 wrt t?\nAnswer: -4704576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {v: 1, x: 16, o: 1}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -406*u**2*x**3 - u**2*x + 6*u**2 - 3*u*x**4 - 3*u*x + 2*x wrt x.\nAnswer: -2436*u**2*x - 36*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h + 9*h - 17*h**2 + 14*h wrt h.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -182, -69, 80, 259, 462?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/36 and 167\/36894?\nAnswer: 221364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + x = -x + 6, 5*g + 5 = -5*x. Find the common denominator of 2\/(-80)*315\/g and -103\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*y)*(-3423 + 1459 - 12025 + 867 - 8569 + 500) to the form v*y + q and give v.\nAnswer: -42382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let h(w) = 29*w - 1. Calculate the remainder when (530\/(-60))\/(n\/6) is divided by h(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 - i - 4. Let p be r(3). Let g(z) = -2*z**3 + 115*z**2 - 1643*z. Let x be g(31). Solve 6 + p = 4*q - 5*c, x = -5*q - c + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1450290606 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.3+680\nAnswer: 676.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 5. Let d be p(-5). Let c be -3*((-16)\/(-3) - d). Calculate the remainder when c\/24 - (-238)\/6 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -557376939.3 and 0.4.\nAnswer: -557376938.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*h**3 - h**3 + 27 - 3 wrt h.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/360 and 109\/14310?\nAnswer: 57240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -51, -134, -5 in descending order.\nAnswer: -4, -5, -51, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 487340851 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 s(b) = 2*b**2 + b + 1. Let z(n) = -n**2 + n + 3. What is 4*s(h) - z(h)?\nAnswer: 9*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7116.9 (b) 78 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*q = 39, 3*b = -5*q - 151 + 188 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))\/(r*r**(-4)))\/(r\/(r*r*r**(2\/5)))**(2\/3) assuming r is positive.\nAnswer: r**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/7 + 5928*x\/7 - 5925\/7.\nAnswer: -3*(x - 1975)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-33))\/((-2228)\/36762)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/5 and -28\/57499.\nAnswer: 287495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -74424\/24011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-28) + (-23)\/28. Which is the nearest to r? (a) -1\/3 (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 2*t - 6 - 2*t. Let r be p(-9). Let o = r - -3. Solve -o = -5*x - 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001000 (base 2) to base 9\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f - 5. Calculate the lowest common multiple of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k**3 + 2*k**2 - 6*k**3 - 1 + 0. Let l be c(1). Let y be (-4)\/((-24)\/(-561))*-2. Calculate the greatest common divisor of y and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 387, -1, -351 in increasing order.\nAnswer: -351, -7, -1, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -200830.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110743034 and 0.7.\nAnswer: 77520123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 83 - -5?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/10, -8, 4, 2, 1\/6, 0.119, -37?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 7588 + 7562 = 3*x, 0 = -5*x - d - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130122.381 to the nearest 100.\nAnswer: -1130100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a week in minutes?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3082 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 0 + 0)*(-6 - 1 - 3).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 318422097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 15 + 40 - (2 + -2 + -10)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11911 and -1?\nAnswer: 11911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 8*d + 7. Let n be j(-7). Let l be (-9 - -45)\/((-2)\/(-58) + n). Calculate the common denominator of -29\/6 and 30\/(-8)*(l\/75)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 87 (b) 2.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*o = -38, 2*v - 8 = -0*v + 3*o. What is the remainder when v is divided by (0 - -1)*(14\/4 - (-63)\/(-42))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.94859 + -0.05141. What is the nearest to 11 in 0.3, q, -0.092?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 6:50 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + -2 + 2*-4*(sqrt(114) + -2*sqrt(114))\/sqrt(6))**2 + -5).\nAnswer: -2440 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 31. Let x(w) = -w + 15. Let l(q) = -6*i(q) - 13*x(q). Let o be l(10). Which is smaller: o or 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001104 to seven decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -283\/11. Is 1 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 + 4*x - 4. Let q be j(4). Suppose 2*y - 4 = -0. Put 0, q, y in increasing order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohrehwwhoo. Give prob of picking 1 o and 2 h.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11072\/(-173)*(-15)\/40?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n - 6 = 0. Let r(u) = -2*u + 14. Let j be r(5). Solve l + n = j*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r**3 - 12*r**2 - r - 3. Let a(b) = 17*b**3 + 24*b**2 + b + 5. Calculate 3*a(p) + 5*u(p).\nAnswer: 6*p**3 + 12*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6691, 2, 3 in decreasing order.\nAnswer: 6691, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22699*p**2*z**2 - 2*p**2 - 5698*z wrt z?\nAnswer: 45398*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0343351 take away 7?\nAnswer: -6.9656649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15686, -31383, -47078, -62771, -78462, -94151, -109838?\n\"Answer: b**2 - 15700*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/((b\/(b*b**39))\/b)*b*b**(4\/33)*b assuming b is positive.\nAnswer: b**(1456\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 97784.5266 to the nearest 10.\nAnswer: 97780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(14)\/sqrt(2))**2 + 1 - sqrt(343)*2 - (-2*sqrt(700)*-5 + (sqrt(700) - (sqrt(700) - sqrt(700)*2) - sqrt(700))**2 + 3)).\nAnswer: -695 - 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (2 + -1 + sqrt(2)))**2*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 * -12.68\nAnswer: 4.1844","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/16 - 10825\/20. Let w = -120 - v. List the prime factors of w.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31782917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-12)*(-508)\/(-2). Let x(l) = -l**3 - l**2 - 1. Let w be x(-2). Suppose -r + 5*c = w*r - f, 4*r = -4*c + 100. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -5*a**3\/6 - 2*a**2 - 2*a. Let b(z) = 11*z + 9. Let l(o) = 4*b(o) + 9*w(o). Let x(t) = -4*t. Calculate 14*l(h) - 3*x(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-2 - 1)\/3. Let t(o) = 2*o + 0*o - q*o. Let j(m) be the second derivative of -m**3\/3 - 5*m + 4. Calculate t(j(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184977 and 121179?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 721140 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*i + 28 = 0, -n + 4*n + 20 = -2*i. Round n to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0*c**5 + 0*c**2 - 1\/14*c**7 + 0*c**6 - 1\/4*c**4 + 0*c**3 - 2*c + 0. What is the third derivative of n(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5388 and 5836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*d - 240, -n - 2*d + 7 = 43. Let l = n + 44. Is -3\/2 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -2 + (-16)\/22. Suppose -25*l - 68 = -8*l. Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25577 - -43710. List the prime factors of o.\nAnswer: 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7229057769110 and -0.3.\nAnswer: 7229057769109.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*-83\nAnswer: 4.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g**2 + 6*g + 12. Let z be q(-8). Let x be z\/7 - (-12)\/84. Let y(t) = 3*t + 17. Let c be y(x). Put 26, c, -4 in ascending order.\nAnswer: -4, c, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 4*p**2 + 2*p**2 + 3*p**2. Let c(t) = -t. Suppose -2*f + z = 4, 4 = -0*f - 2*f - 5*z. What is f*m(q) - c(q)?\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -17 + 5. Suppose 2*k = 5*t + 11, -p*k + 2 = -2*k + t. Suppose k*s - 4*i - 245 = 0, 0*i + 3*i = s - 90. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 - 662 + 2*t + 0*t + 200 + 260.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 26 = -3*z. Let b be (-24)\/(-15)*(z - 0). What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9883*x - 3215. Is z(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + -0.7. Let x = q - 2.8. Let y(r) = -r**2 + 6*r - 3. Let z be y(6). Sort x, z, 0 in descending order.\nAnswer: x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 137*m**2 + 134*m**2 - 425*m**2 + 4*m + 136*m**2 to the form b*m**2 + y + r*m and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zktkzttvt. Give prob of sequence tv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 104430?\nAnswer: 104434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (485 + 61 + 340)*(-5*a + a + 5*a).\nAnswer: 886*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9110.079 minus 2619.8?\nAnswer: 6490.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 102, 226, 398, 618, 886, 1202?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/10))\/(g\/((g\/(g**(-3\/2)\/g))\/g)))\/(((g\/g**(-2\/9)*g*g)\/g*g*g)\/g*g*g**(-3)))**6 assuming g is positive.\nAnswer: g**(124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + ((-3*(sqrt(104) - ((sqrt(104) - (-6*sqrt(104) + sqrt(104))) + sqrt(104))))\/((-3*sqrt(8) - sqrt(8))*2))**2.\nAnswer: 893\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 578, 3, 0.3, -270, 1\/3 in ascending order.\nAnswer: -270, 0.3, 1\/3, 3, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17. Is f less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/12)\/((-2)\/12). Let a(k) = -5*k + 9. Let z(f) = 3*f - 4. Let g = -1704 + 1713. Determine g*z(j) + q*a(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 24\/(-11) + -2 and (-11)\/(-1815)*-568 - (-5)\/(-55).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -3846, -7559, -11252, -14919, -18554, -22151, -25704?\nAnswer: -29207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 49. What is the third smallest value in u, -6\/7, -0.4, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from 38490789.\nAnswer: 38490791.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 + 16*r - 10. Let k be y(-3). Is 47 a factor of ((-61852)\/(-235))\/(k\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163147515 by -2445.\nAnswer: 66727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + -133. What is the second smallest value in f, 5, -2\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 27*g**2 - 27*g + 34. Let r be n(26). Solve 6 - r = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7 - 4 + 5 + 48*h + 46*h**2 - 27 + 35*h**2. Let t(z) = -5*z**2 - 3*z + 2. Calculate -33*t(s) - 2*x(s).\nAnswer: 3*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f. Let v(q) = -3*q. Let a(h) = -4*c(h) + 5*v(h). Let s(k) = -4*k. Determine s(a(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2931 divided by -3.\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086995 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30392 divided by -7598?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 7345?\nAnswer: 7340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.03 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2273 + 106*a**2 - 1130 - 1143.\nAnswer: 106*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -105. Let c = 7.2 - -1.7. Let d = c + -9.2. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/5))\/p)**(-3\/17)\/(((p**(-4\/11)\/p)\/p)\/(p\/((p\/(p\/p**(1\/3))*p*p)\/p))) assuming p is positive.\nAnswer: p**(5893\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -760\/78307 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 2329091?\nAnswer: -160707279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x - 51. Let n be r(14). Suppose -4*q = 3*p - 933, -3*q + n*p + 696 = 8*p. What is the remainder when q is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4172250288.\nAnswer: 2, 3, 7933, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + p)*(-30124 + 30124 + 628*p + 2*p + 3 - 3 + (-3 - 2 + 3)*(3*p + p - 2*p) + 2*p - 5*p + 4*p + 6*p - 4*p + 0*p - 2*p + 2*p - 2*p - p - 3*p + 2*p).\nAnswer: 625*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (8 + -1 - (16 + 16 + -34))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335722 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5268.881km to meters.\nAnswer: 5268881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 1340*p + 70951. What is k(51)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 49. Is 24\/q - (-354)\/8 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-4 + (sqrt(272) + 0 + sqrt(272))**2.\nAnswer: -20*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2412192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9370000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318103, 318018, 317933, 317848, 317763, 317678?\nAnswer: 317593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/3540*-8 + (-72)\/(-495600)*135?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -5\/5874926, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a + 118. Let t be h(18). Solve 0 + t = 10*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299648 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/7 (b) 1 (c) 0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -66, 4, 8 in increasing order.\nAnswer: -66, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**7\/84 - 3*k**5\/40 + k**4\/12 + 61*k + 103. Let a(b) be the first derivative of v(b). Suppose a(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673795 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11285046 is divided by 350.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 28*h - 2800 = 0. Suppose 5*y + 250 = -3*w + 27, h = -4*y + w. Is y equal to -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7294.87ml?\nAnswer: 7.29487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 4*g - 12795, 2*g = 6. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 3055?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1377)\/18)\/17*12\/(-15)*1180\/36\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1876, 6210, 10544, 14878?\n\"Answer: 4334*n - 2458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o**2 + 3*o + 3. Suppose -s = 3*s. Suppose -5*k - q = -s*k + 18, 5*q = -15. Calculate m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995, -1970, -2945, -3920?\nAnswer: -4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p**2 - 88*p**2 - 6*p**2 to l + i*p + j*p**2 and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g\/((g*g**(-7))\/g))*g*g*g**3)**4 assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549681583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -94. Suppose -5*q - 3 - 3 = y, -p = y + 2*q. Let o = 2\/457 - -395\/14167. Are y and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -306106085*i**2*y + 562*i*y + 1068*i - 3*y - 1 wrt i?\nAnswer: -612212170*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 2*g**2 - 2*g**2 - 2*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28187 - -28412. Calculate the remainder when 667 is divided by y.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 31, 41, 51, 61, 71?\n\"Answer: 10*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.016 - -0.316. What is the second smallest value in r, -2, 0.7, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**5 - c**4 - c**3 + c**2 + c. Let q(z) = 8*z**5 - 4*z**4 - 61*z**3 + z**2 + 40*z + 12. Let v(d) = 4*j(d) - q(d). Suppose v(g) = 0. Calculate g.\nAnswer: -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*g - 9, -g + 5*i = -3*g - 39. Calculate the least common multiple of 326 and ((-6)\/(-8))\/((-3)\/g) + 3.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.25? (a) -6 (b) 0 (c) -0.2 (d) 2.395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/4055 - -336589\/32440. Let k be 1 + -4 + 4572\/(-20). Let p = -7603\/30 - k. Calculate the common denominator of p and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -21. Suppose u - 4*d + 6 = 0, -m*u + 9*d = 4*d + 2. Solve -u*g + 6 = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 divided by 73?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 15. Let l be 2 + 26\/(-6) + 0. Let x = l - -8\/3. Sort 0.2, x, p in ascending order.\nAnswer: 0.2, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8587 + -6054. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 436 and 24.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20797073 to the power of 1\/2, to the nearest integer?\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5166 - -2843. Let a = -1637 - -521. Let l = a - x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127, 120, 87, 16, -105?\n\"Answer: -2*s**3 - s**2 + 10*s + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7786 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1768, -9.9, -3\/7 in increasing order.\nAnswer: -1768, -9.9, -3\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192511\/14 - -13757. Calculate the common denominator of 4\/(-10) + (-594)\/(-160) and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1158, 1157, 1154, 1149, 1142, 1133?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.5, -1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1429\/11 + -130. Let g = -41 + 39. Let k be (g\/(-2))\/(-1) - (-4)\/10. What is the second biggest value in n, 1, -2\/11, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 22 - 124. Calculate the remainder when u is divided by 5*((-6)\/(-5) - (-1)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)*s**(-13))**(-3\/14)*(s**(1\/3)\/s**3)\/(s**(2\/5))**(1\/15) assuming s is positive.\nAnswer: s**(116\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 13*t**2 - 2*t - 7. Determine c(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(15)\/(sqrt(10)\/sqrt(2)) + 3 + sqrt(6)\/sqrt(2)))**2.\nAnswer: 108*sqrt(3) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j + 16. Let z be s(20). Let q = -229 + z. What is the greatest common divisor of 91 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4747 = -6*k + 19645. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2596.83 rounded to the nearest ten?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 12. Let h(x) = 3*x - 12. Determine 4*h(b) + 5*r(b).\nAnswer: 2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6170*v + 43190. Calculate b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192090760?\nAnswer: 2, 5, 19, 197, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233419, -233411, -233401, -233389, -233375, -233359, -233341?\nAnswer: -233321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 8*f**2 - 268*f + 1745. What is n(5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 46. Let x be l(-31). What is the tens digit of 55\/(-2)*138\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1050)\/(-4) + 3\/2. Suppose -2*d - t = -5*d. Suppose -2*r + d = 2*r. Calculate the remainder when r is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 - 5*k**2 + 25*k - 2. Let n(a) = 4*a**3 - 5*a**2 + 24*a - 2. What is 4*m(s) - 5*n(s)?\nAnswer: 4*s**3 + 5*s**2 - 20*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.3619 - -0.0619. Let l = h - -29. Let g = l + -2.687. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 123 - (-3)\/(-2)*2. Which is bigger: 119 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3706 + -30?\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 2*q + 2*v, 3*q = -5*v + 10. Suppose q = -5*m + 2*m - 18. Let a = 8 - m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5176\/689702*26\/(-12)*-3?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(20)\/sqrt(4) + 5).\nAnswer: 3*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 11200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -181, -1, 67.\nAnswer: -181, -4, -3, -1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 5, k: 1, o: 3, y: 1, r: 1}. What is prob of sequence oo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/53322 and 5\/222?\nAnswer: 1972914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 2 + 3.\nAnswer: 5 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, 97, 7, -4, 4\/3, 2.4?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -225 (c) 0.1579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*r - 2*r + 1053 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378184?\nAnswer: 2, 41, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(-18)\/4*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18*(-9)\/18 + 2 + 0 + 3. What is the greatest common factor of t and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387 + 378. What is the biggest value in 0.1, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.039, -0.2, 50?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/3 - 3*f**2 - f. Let s be m(-9). Calculate the smallest common multiple of 8 and (s\/(-2))\/(-3) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1\/6 in decreasing order.\nAnswer: 4, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Factor m**4 + 2*m**5 + 3*m**4 - 5*m**2 + m**2 + r*m**5 - 2*m.\nAnswer: 2*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 5202\nAnswer: -9\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1\/9, -0.33, 7\/20?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.36195 - -0.01005. Let q = m + 0.128. Let k = 66 - q. What is k rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -73. Let v(x) = 11*x**2 + 9*x + 1. Let s be v(k). Let a = -2 - -4. Solve -3*y - 1 = -3*l + a, -s*l = y - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5364)\/(-336) - 16)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 96 + 6106*k + k**2 - 6106*k.\nAnswer: k**2 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50042*l + 740 = -50079*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11493, -21491, -31495, -41505?\nAnswer: -51521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 4*t - 3. List the prime factors of x(-10).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3909375*j**6 + 109*j**2 + 3*j - 7225?\nAnswer: 469125000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14.063. What is h rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 944295.9l?\nAnswer: 944295900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4753*x - 100 = -76*l + 4749*x, 5*x - 33 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*v**2 + 6553*v + 593150 wrt v.\nAnswer: -46*v + 6553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12) + (sqrt(3) + 1 + sqrt(3) + 5)**2.\nAnswer: 26*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m**2 - 2*m + 48. Let i be x(9). Suppose -4*l - 3*p = l - i, 5*p = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1402*(2\/(-1))\/(-4))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3642375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8403, 11.2, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/210)\/(-2))\/(((-20)\/(-15))\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 4*t**2 - 3*t**4 + (2*t**2 + t**2 - 2*t**2)*(-2 + 2 + 2*t)*(t + 2*t + 0*t).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/33*(8\/(-20) - 0). Suppose -3*w + 0 = -9. Factor -22\/3*o**2 - 8\/3*o**w - 10\/3*o + r.\nAnswer: -2*(o + 1)*(o + 2)*(4*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 310.\nAnswer: 7\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 320743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -92*b + 5. Suppose -5*m - 1 + 185 = d, 3*m - 3*d = 96. Let u = -51 + m. Is f(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 - 29\/(-9). Let n(k) = 5*k**2 - 5*k - 1. Let s(j) = 3*j**2 - 3*j - 1. Let c(u) = -4*n(u) + 7*s(u). Determine c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9283033 weeks to minutes.\nAnswer: 9357.297264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Let d = 62\/3 - 20. Let s(i) = -7*i - 3. Let g be s(-1). What is the nearest to 0.1 in d, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/9 - 20\/9. Let o = 184 + -183.95. What is the biggest value in -0.2, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*l - 9*l + 90*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15929795.\nAnswer: 5, 7, 37, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/21)\/v)\/(v\/(v\/(v\/v**30*v)*v)))\/(v\/(v**(-13)*v)*v*v**(-36)))**31 assuming v is positive.\nAnswer: v**(32488\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3383*i**3 - 6*i**2 + 3*i + 20393 with respect to i.\nAnswer: 10149*i**2 - 12*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.005 + -0.005. Let c = -0.071 - -33.071. Let l = c - f. Put 1, 0.4, l in decreasing order.\nAnswer: 1, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*c - 3*c - 20, 4*y + c - 42 = 0. Calculate the lowest common multiple of y and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) + -1*sqrt(70))*-6)\/(sqrt(490) - (sqrt(490) - -3*sqrt(490) - sqrt(490)) - sqrt(490)).\nAnswer: -sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d - 68. Let f = 51 - 30. Let v = d + f. Calculate the least common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 2021212002?\nAnswer: -2021212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 150?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/7 + 33184*z\/7 - 1027743\/7 = 0. Calculate z.\nAnswer: 31, 33153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74291.\nAnswer: 7, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/12 - 3*n**2. Let z be r(-3). Suppose 5*o - z = 14. Calculate the remainder when 5 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-10))\/(3\/(-8)). Solve 3*b + 3*w = -9 - 3, 16 = -b - u*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18943 - 81551 = 4816*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9336 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 15, 2*j + 2*j = 2*o - 6. Suppose -3*y = -i + 9, -2*i - 25*y + 26*y - 7 = 0. Is o at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*t**2 - 3 + 0 + 1 + 1 with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 - l - 1. Let c(u) = 4*u**3 - 3*u**2 - 2*u + 3. Let j(d) = c(d) + 3*i(d). Find the second derivative of j(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 653853150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 6*n + 1. Determine d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541555 (base 7) to base 14.\nAnswer: -264d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j + 667*j + 375*j - 28*j + 70*j.\nAnswer: 1030*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -13*i**3\/6 - 7*i**2\/2 - 9*i. Let u(l) = 0 + 9*l - 1 + 6. Suppose 34 = 11*m - 21. Give m*r(a) + 7*u(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -n - 5*q, 3*q - 96 + 14 = -2*n. Suppose -n*b + 1391 = -10005. What is the greatest common factor of 37 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -1\/8 (c) -121 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from qfwqqfnnnqwqqqnq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 72303348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50033\/3876 + -105\/323. Find the common denominator of a and -133\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - (-2 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10420 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -23. Let s = x - 8. Let p = 5.09 + -0.09. Which is the nearest to 0? (a) 2\/11 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0 + 0 + 4 - 3. Let d(b) = 4*b - 4. Calculate -d(m) - 3*s(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*a + 50*a - 53*a)*(-2*a**2 - a**2 + 2*a**2) to the form h*a**3 + z*a**2 + b*a + p and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1. Let y(z) = -181*z**2 - 80*z + 1. Let t(l) = -k(l) - y(l). Find the second derivative of t(w) wrt w.\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -611*j**2 - 305*j**2 - 357*j**2 - 1081*j**2 to the form r*j + n*j**2 + a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4 (c) -2\/1321 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -11, 39 in descending order.\nAnswer: 90, 39, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 702 - 2036713?\nAnswer: -2036011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63045458.219244 - -63045562. Let r = x + -99.0807571. Let c = r + -4.7. Round c to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -166741*m + 10337941. What is n(62)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -38. Suppose 5*k + 0*k = 5*q - m, -4*k = -2*q + 14. Suppose 91 = q*v + 2*w, -3*v + 0*w = w - 54. What is the highest common divisor of 136 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.5, -5, -1\/2, 2 in decreasing order.\nAnswer: 2, -1\/2, -5, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 41*y + 763. What is n(-19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-138 + -3 + 0). Let g = d - 51. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n - 5. Suppose -9 = -3*p - 0. Let w be (p\/6)\/((-3)\/36). Is g(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 - 2137 + l**3 + 8*l - 3*l**2 + 2135. Let o(j) = -2*j**3 - 2*j**2 - 1. Let w be o(-2). What is b(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471198 divided by 273.\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 76*c - 40 = 80*c, 13 = 5*o + c. Let l = 23 - 16. Solve 7*v + l = 2*v - 3*f, 4*v = -o*f - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 71*k - 69*k - 4 = 0, 5*s + 3*k = 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**4 + 6*z**3 + 5*z**2 + 17*z - 4. Let t(w) = -w**3 + w**2 - w - 1. Let p(k) = -l(k) + 4*t(k). What is the third derivative of p(m) wrt m?\nAnswer: 48*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45952 and 128.\nAnswer: 45952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2*i - 10. Let t be j(5). Let z(h) = 14 - 14 + 6*h - t*h. Let y(b) = -b + 11. Determine y(z(o)).\nAnswer: -o + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.16 - -0.04. Let k = 277 - 278.284. Let p = k + h. Round p to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:42 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -0.0377 (c) -313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 114. Let w be 495\/h + ((-12)\/(-15))\/4. Solve 2*d = -3*d + w, -4*y + 5*d - 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**7\/12600 + h**6\/1800 - 19*h**4\/12 - 21*h. Let l(z) be the third derivative of j(z). Factor l(d).\nAnswer: d*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2894420742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 378 - 376. Find the third derivative of -151*s**6 + 191*s**6 - 3*s**2 - g + 4*s**3 - 4*s**3 wrt s.\nAnswer: 4800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 33. Suppose 0 = 2*f + 3*h - 4, -2*f + 10 = 3*f + 3*h. Suppose -f*j = p*j - 104. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.437 - -0.537. What is the closest to -1 in -5, 6\/5, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-16) - (-2493)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 16*s + 16. Determine o(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 + m + 3. Let j be y(-4). Suppose -c + 2*f = -15, c - 5 = -3*f - j. Let k be (1\/3)\/1*0. Solve -25 = -k*x + c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 6 = 0, 2*t + 2 = 4*k. Solve k*n = -3*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 5)\/((-2)\/(-6)). Suppose 33 = n*q + 6. Which is the third biggest value? (a) 0 (b) -2\/7 (c) -5\/2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 - 14731312*i\/5 + 13563222077584\/5.\nAnswer: 4*(i - 1841414)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:21 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634715 to the power of 1\/2, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2270344?\nAnswer: 2, 283793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4447\/8 + -545. What is the common denominator of u and (-1 - (-33)\/(-6)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(13)*-3 + 5 + 1)**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 - -2.1. Let j = 8 - s. Let m be 34\/28 - 2\/(-7). Sort m, -1\/4, j in increasing order.\nAnswer: j, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 2*q**2 + 5*q + 4. What is the tens digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-9)*(-9)\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111758701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + -296. Solve p*h + 3 = 22*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1.6, -7\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*f + 128, 2*x + 3*f - 65 = 3*x. Let i be 1\/(0 + 1\/x). Which is bigger: -56 or i?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -4, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -649559.3 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**4 - 2*v**3 + 1. Let t(k) = 5*k**4 + 17*k**3 + 21*k**2 + 3*k + 2. Let u(b) = -3*t(b) + 12*y(b). Solve u(a) = 0 for a.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 636129 and -22.46080033.\nAnswer: 636106.53919967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3994*y**3 - 37 + 420*y + 37 - 420*y.\nAnswer: 3994*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (2 - (-2 + 3)). Let v = u + -4. Suppose v*n = 2*n - 30. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 0)*(-11 + 56 + 32)*(3*l - 2*l + l) in the form z*l + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(9\/(-90)*-10))\/((-15)\/(-35))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 350749 + 350749.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 68 + 5*m**3 + 35 + 32 + 0*m to the form h*m**2 + i*m**3 + z + y*m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10909 or -10910?\nAnswer: -10910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/16 and 81\/650?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -8098, 3 in decreasing order.\nAnswer: 3, -0.4, -8098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 17. Let z be q(-14). Let n be (-3)\/z - (-1 + 0). Suppose -5*p + 67 - 17 = 0. Calculate the greatest common factor of n and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 1 + 23 = 0. Put -15, -0.2, l in increasing order.\nAnswer: -15, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1339 - 1290) + 0 + -65?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1780*l + 1786. Let d be g(-1). Let r(z) = 2*z - 3. Let n(c) = -3*c + 5. Let x(h) = -6*n(h) - 11*r(h). Let m(j) = 24*j - 17. What is d*m(p) + 34*x(p)?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1)*y*y\/((y**6\/y)\/y))\/(y**(2\/25)*y*(y**0*y)\/y))\/((y**(-3)\/y)\/(y\/(y*y\/(y*y\/y**0*y)*y*y))*y**(-9)\/y**0) assuming y is positive.\nAnswer: y**(298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/6 (b) -8 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37440 divided by -80.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 4*k**2 + 8*k + 12. Let i be g(6). Let w(h) = -h**3 + 5*h**2 - h + 7. Let s be w(6). Let f = i - s. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 18. Let m be -1 + 0 + -5*76\/(-340). Let w be (-8)\/(-12) - 4\/(-30). Put 0, m, n, w in decreasing order.\nAnswer: n, w, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 23*k. Let f be (-3)\/(-1) + (-70 - -69). Let v(o) = 1879*o**f + 1867*o**2 - 3741*o**2. Determine q(v(h)).\nAnswer: 115*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 49*x - 495. Let n be i(10). Let j(s) = s**2 - 1. Let t(v) = -6*v + 1. Let r(b) = -b**2 + b + 1. Let c(d) = -6*r(d) - t(d). What is n*j(g) + c(g)?\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o**4 + 4*o**2 + 0*o + 0*o**3 - 3\/280*o**7 + 0*o**5 + 1\/112*o**8 + 0 - 1\/160*o**6. Factor h(u).\nAnswer: 3*u**3*(u - 1)*(4*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, -2\/11, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kqkq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-12)*(36 + 4 + 0). Suppose 0 = -0*g + 7*g + w. Which is the closest to g? (a) 0.1 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 + 6*q + 17. Give z(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - 25140254?\nAnswer: -25140141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2130628 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 21*u**2 + 25*u + 40. Let d be z(-9). Solve d*i - 48 = 34*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:20 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -712 - -952. Calculate the greatest common divisor of h and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 12*k**2 - 9*k - 2. Let s be w(11). Suppose -12 + s = 2*h. Let o be (-42)\/h*(-180)\/27. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239539118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 15*c**2 + 3*c - 11*c**2 - 2 + 0*c**2. Let q(d) = -21*d**2 - 10*d + 11. Let r(g) = 22*j(g) + 4*q(g). Factor r(l).\nAnswer: 4*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let s be (t + 0)*2\/28. Factor 0 + 0*h - 2\/7*h**2 - s*h**4 - 4\/7*h**3.\nAnswer: -2*h**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -5, 5, 19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 14*a - 2210. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:32 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 3*r**2 + 2*r - 6. Let d be m(-3). Let g = d + 43. Calculate the remainder when 10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (141 + 15 + 17 - 12)*(101*g**2 - 18 + 18) to the form f*g**2 + v + o*g and give f.\nAnswer: 16261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 97880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-1)\/22*5\/(-10)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3870979 is divided by 552904?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/32150966?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17 and -9.1195?\nAnswer: 26.1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(468) + sqrt(468) + sqrt(468) + -2*sqrt(468) + sqrt(468)))\/(sqrt(729)*-2))\/(-3*(sqrt(144)*2)\/sqrt(9)))**2.\nAnswer: 13\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 27, 47, 85, 147, 239, 367?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -93 (b) -694032 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from {g: 1, p: 3, d: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*s**2 - 2134966*j**2*s - 123434*s**2 wrt s?\nAnswer: -6*j**2 - 246868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77403 = 4*o - 13*o - 1200. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, 5\/164, 1\/6, 1\/4, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, y: 4, r: 2}. Give prob of picking 4 y.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i**3 + 0 + 0*i - 1\/12*i**4 - 2*i**2. Let d(r) = r - 2*r + 2*r. Calculate s(d(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 4*s. Suppose 3*c + s*c = 621. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = r - 33, -4*r + 3*n + 95 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 3, x: 3, b: 6, o: 1}. What is prob of sequence zpzp?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 + 114*x**4 - 1022*x**3 + 1206*x**2 + 2340*x = 0. What is x?\nAnswer: -65, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.10063 * -2\nAnswer: -0.20126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1266.3 - 1266. Sort -0.4, o, 0.02, -9 in ascending order.\nAnswer: -9, -0.4, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**22)\/(d**(7\/6)*d))\/((d\/(d**(-5\/14)\/d*d))\/(d*d\/(d\/d**34*d)*d)))**(-1\/5) assuming d is positive.\nAnswer: d**(-1144\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 11123352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 3, 4, -5 in increasing order.\nAnswer: -173, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.17965994*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2)\/(-6) - 10. Let h be 2\/o - (-20)\/9. Let x(m) = 4*m + 5. Let p be x(4). Solve 2*r = 3*z - p, -5*r = 2*z + h*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 154, 538, 1284, 2512, 4342, 6894, 10288?\n\"Answer: 20*o**3 + o**2 - o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3318)\/(-1260) + (-154)\/55.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 10:44 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1708, -1715, -1726, -1741?\n\"Answer: -2*v**2 - v - 1705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 (base 4) in base 3?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*t + 11 = 0, 3*t + 1 = 4*u + 11. Sort 3, u, 0, -2 in decreasing order.\nAnswer: 3, 0, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*g = -104, -3*g = -3 - 9. Let j = -95\/3 - t. What is the closest to 1 in -0.5, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15031129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 0, 4, -5, -103.\nAnswer: -103, -5, 0, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*j - 1012, 4*j - 6*y = -3*y + 1019. List the prime factors of j.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4387132 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1, -3, 0, 3 in decreasing order.\nAnswer: 3, 1, 0, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f - 1. Suppose j + 3 = r, -4*j + 13 = -7*j + 5*r. Let m(y) = -y**2 + 2*y - 4. Suppose 5*z = 16 - 6. Give j*m(a) + z*u(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 590246995, 590246994, 590246993, 590246992, 590246991?\n\"Answer: -f + 590246996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1536 = 188*u - 124*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 1505620*w\/3.\nAnswer: -2*w*(w - 752810)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/684)\/(4\/12))\/((-24)\/(-320)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let o be y(2). Suppose -4*n - o*g + 34 + 29 = 0, 5*g = n - 33. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.218 and -0.13?\nAnswer: 0.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 19*a - 5. Let m(n) = 285*n - 76. Let r(c) = -76*j(c) + 5*m(c). Let u(w) = -3*w. What is r(u(z))?\nAnswer: 57*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9618360 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*i - 31*i + 38*i)*(0*i**2 + 9*i**2 - 2*i**2 + (3 - 3 - i)*(-3 + 3 - 2*i)) to g*i**3 + l*i**2 + u*i + q and give g.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -93797 minus -3.25?\nAnswer: -93793.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6291009*b**2 + 1821411.\nAnswer: -12582018*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*d = 134805 - 134818, 4*f - 3*d = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 102.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 23 = 5*b, -4*b = 2*c + 5 + 9. Let f(r) = -r**3 + r**2 + 2. Let i be f(2). Let o be 2\/2 + c + (-6)\/i. Solve 9*v = 4*v - o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 196*v - 4 = -201*v + 11, -3*t = -10*v - 61 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, -21811, -2, -17.\nAnswer: -21811, -17, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.48455 decades to years.\nAnswer: 4.8455","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the greatest common divisor of 300 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3 + 3*y + 3*y - 6*y - 3*y. Calculate the remainder when w(-8) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43103 (base 8) to base 5.\nAnswer: 1033422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Let b(d) = -2*d + 4. Let r be b(k). Suppose -4*x - 1 = 3. Is x >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/32)\/((-6)\/4). Let b(j) = j**2 + 14*j + 5. Let o be b(-14). Suppose 3 = 2*d + o. What is the second smallest value in a, d, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 40221?\nAnswer: 40231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6934 is divided by 126.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*-22*30\/(-495).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 + 302 + 563 + 56)*(-2*k + k**3 + 2*k).\nAnswer: 845*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366.205l to millilitres.\nAnswer: 366205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -21)\/((-1142)\/571)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/35 - (-6)\/7. Let d = 4 + -2. Suppose d*r + s = 7. Solve w - r = 2*v - v, -3 = w + v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 - 23*a**5 + 50*a**5 - a**5 + 3*a**5 - a**5 + (-2 - 2*a**4 + 2)*(-a + a + 2*a) + 2*a**5 + 0*a**3 + 0*a**3 - 3*a + 3*a + a**5.\nAnswer: 21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 443*w - 12. Let s(n) = -1330*n + 38. Determine 6*s(o) + 19*z(o).\nAnswer: 437*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16b - -69?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 6*y - 6. Let v(c) be the first derivative of -5*c**3\/3 + 11*c**2\/2 - 11*c - 34. Calculate -11*j(p) + 6*v(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l + 13*l - 24*l)*(2*l**3 + 2*l**3 - 5*l**3) + 74*l**4 - 2012*l**3 + 2010*l**3 - 11*l**4.\nAnswer: 87*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 8*u = -32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005.5996 months in millennia?\nAnswer: 0.1671333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 20 - 8 - 9 + 3*w - 7. What is y(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**5)*y*y**9*y**(3\/10)\/y**(1\/2) assuming y is positive.\nAnswer: y**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531472302 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886578 divided by -14.\nAnswer: -63327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -0.00939, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (20600\/3605)\/(4\/21)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 1363722888*z - 116233757203441284 = 0.\nAnswer: 170465361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/29 (b) 0.3 (c) -0.1 (d) -645\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 5*n + 48 + 0*n + (0 + 53 - 5)*(4*n + 3*n - 5*n) + 4 - 2*n - 4.\nAnswer: 99*n - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/19 >= -266.028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15053941?\nAnswer: 7, 31, 173, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 2 + 4*u**2 + 2 - 4*u**4.\nAnswer: -4*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*z**3 + 2*i**2*z + 409*i*z**3 - 3*i*z wrt i.\nAnswer: -8*z**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmdd. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 - 4*z**2 + 3*z**2 - 2120*z**3 - 62 + 2107*z**3 with respect to z.\nAnswer: -39*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 1. Let w be (-48)\/(-27) + (-8)\/(-36). Let c(l) = -l. Determine w*c(j) - u(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205088 and 355946.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r**2 + 1)*(-4*r**3 - 5*r**2 + 5*r**2).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1.4, 0.1, 4, 184?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3781615745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15 + 23 - 38 + 12*p**3 - p**2 wrt p.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 3*w**2 - 18.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 - -5 - ((-2 - -17) + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:18 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-33)\/((-4158)\/(-144))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1046727 and -79\/86328.\nAnswer: 8373816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3471*f - 11642*f - 178*f.\nAnswer: -15291*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1127.858?\nAnswer: 563.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 190485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*12\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/587 + 1210\/5283. Which is the nearest to 3? (a) -2\/29 (b) v (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62757030 divided by -1230530.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/7 - 2*w**3\/7 + 6*w**2\/7 + 2*w\/7 - 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21384, 85542, 192476, 342186?\nAnswer: 534672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -4*n - 23*m + 22, 0 = n + 3*m + 19. Let 1\/2*a**n + 1\/2*a - 3 = 0. What is a?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13095 is divided by 226.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 507169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5725*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Suppose d*l - m = 3*l - 20, -5*l - 2*m = -34. Suppose 3*h - 9 - l = 0. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k. Let o(z) be the third derivative of -11*z**4\/12 - z**2. Let v(b) = -7*b + 16. Suppose -3*s + 4 = -5. Let g be v(s). Determine g*o(j) - 16*q(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 8. Let h be z(8). Let o(b) = b**2 + 7. Does 7 divide o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6033420 - 15?\nAnswer: 6033402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 18872, -0.5 in ascending order.\nAnswer: -2\/3, -0.5, 18872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183474 by 2.\nAnswer: 91737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Let t be (-1 + y\/(-2))*220. Suppose -2*h + 17 = -5*o, 0*o - 24 = -2*h - 2*o. What is the highest common factor of t and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/(-36) - -16 - (2 + -3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 625926*c**3 + 4 + 3*c**2 - 4*c**2 + c + c**2 - c**2. Let i be z(3). Round i to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 2. Let s(u) = u - 3. Let f(r) = -2*s(r) + 3*y(r). Let p be 9\/36 - (-3)\/4. Let a be f(p). Solve -z - z + 2*n = -8, 16 = a*z - 2*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*i - 1136 + 1235, -2*i = -3*l + 58. Suppose -3*h + 87 = 3*w, w - 2*h - 17 = 3*h. Do w and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -215\/76? (a) 24 (b) -0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5447 and 16427560.\nAnswer: 16422113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.15 - 10. Let w = 0.15 - x. Which is the biggest value? (a) 4 (b) -13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/7 + 152*d**2 - 74120*d\/7 + 144000\/7 = 0. What is d?\nAnswer: 2, 80, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*f, 5*y - y - 6 = -5*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-6))\/(((-77)\/(-546))\/(-11)))\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271379, -542942, -814507, -1086074, -1357643, -1629214?\nAnswer: -1900787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**(2\/25)*(g\/((g\/(g\/g**1))\/g))**(-1) assuming g is positive.\nAnswer: g**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12120179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**2\/u)\/u)**(3\/8))**(-2\/73) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -8. Let p = -1.051 + -7.629. Let u = 7.68 + p. Which is the nearest to u? (a) o (b) 1\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23149849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466\/9 + 4\/18 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 63\/15 - (-7 - (-1964)\/270). What is the closest to b in -1\/5, 0.17, 1\/3, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) -1 (c) -3 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10745 + 10973. Calculate the remainder when 3872 is divided by o.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6. Let q(n) = 14*n**2 - 30. Let k(a) = 30*c(a) + 6*q(a). Let o(u) = 4*u**2. Give o(k(d)).\nAnswer: 28224*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h - 1. Let r(v) = -3*v. Let w(f) = -4*i(f) - 11*r(f). Let u = -4953 - -4949. What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27224572 (base 8) to base 9.\nAnswer: 12435111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 958536212857 and -2.\nAnswer: 958536212855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 94 = -4*n, -3*n - 94 = -87*c + 85*c. Let v = 190\/3 - c. Factor -1\/3*l**2 - v - 14\/3*l.\nAnswer: -(l + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p + 0*p + (-8 - 4*p + 8)*(4 + 4 - 5) + 2*p - 1 + 1.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(68)*-2 + sqrt(68) + -1)**2 + 2 + 4).\nAnswer: 16*sqrt(17) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -12.\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58126712 divided by -575512.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(12\/40)*2302255. Suppose 0 = -5*u - f - 4477450. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(k - k - 5*k)*(-5 + 5 + 4*k).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*b**2 + 27*b**2 - 6*b**3 + (-b + 0*b + 0*b)*(5*b + 3*b**2 - 5*b) - 2 - 2*b**3 + 2 + b**3 + 2*b**3 - b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 10. Is (-141)\/t - (1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2020 by -404.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 104 = -w, -g - 5*w + 56 = -0*w. Suppose 35*l = g*l - 437. Let k = -253 + l. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - -2 - 4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 12 = 4*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32541 + -5?\nAnswer: 32534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (26334\/3135)\/(3\/(-5))*8\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -14. Let y = 1 - -12. Calculate the remainder when o is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -911 = 39.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2766 - 522. Is ((-2)\/(-3))\/(2 + b\/1647) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2641046 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 3)*2\/(-4). Let p(h) = -2*h + h**2 + z*h. Let f(q) = q**2 - 6*q**2 + 2*q**2 + 2*q**2. Determine p(f(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -226782035.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let i = 107 - 109. Let g(t) = 3. What is i*j(d) - g(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 104*i**2 - 642*i + 540.\nAnswer: -2*(i - 45)*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 91\/(14651\/2580) - 16. Is k <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 9, 3, 2 in increasing order.\nAnswer: -205, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98230*c**3 + 136025.\nAnswer: -294690*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.09937 and 4?\nAnswer: -28.39748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/3 + 194*y**4\/3 + 1321*y**3\/3 + 748*y**2 = 0.\nAnswer: -187, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -667 + 17?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8426781 and 212619?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {a: 2, l: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595443391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2189, -1, 1, 3, 5, -5 in descending order.\nAnswer: 5, 3, 1, -1, -5, -2189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 + 253. Let h(r) = r**3 + 3*r**2 + 2*r + 1. Let k be h(-3). Sort k, -20, u, 1 in ascending order.\nAnswer: -20, k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108620404 and 64669.\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/93)\/(2\/(-4))*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13148 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -24, -67, -156, -309, -544, -879, -1332?\n\"Answer: -3*t**3 + 4*t**2 - 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23.2. What is the biggest value in j, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 9*i + 1786. Give c(45).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 23*b + 42. Let r be a(21). Let o(q) = -2*q - 6. Let g be o(-5). Let 0*u + 0 + 1\/6*u**5 - 1\/6*u**3 + 0*u**g + r*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 8 (b) -2 (c) -1\/53 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/25 + -3\/25. What is the fourth smallest value in 0, -0.5, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 162 = -0*m - 5*m, 2*j + 2*m - 108 = 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 15}. Give prob of picking 3 e and 1 y.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229 - 228.366. Let f = -0.134 + d. Which is the smallest value? (a) f (b) -3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57691606 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/824 and -23\/721.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.046 in -84, 1, 1.9, 4, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1300*j - 17587. What is s(14)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 67677*r\/2 + 2682603.\nAnswer: -3*(r - 79)*(r + 22638)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 3*o**3 + 2*o**3 + 147*o - 147*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4441301.4 rounded to the nearest 1000?\nAnswer: -4441000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4)*c*c**10*c)**(-2\/27))**3 assuming c is positive.\nAnswer: c**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (7 + 0) - 16 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 5990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0 + 21\/100*p**5 + 0*p**2 + 36*p - 4\/5*p**4 + 2\/5*p**3. Factor z(u).\nAnswer: 3*u*(u - 2)*(7*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 4*c. Let t(s) = s**2 + 4*s. Let i(p) = -6*d(p) - 7*t(p). Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 44. Find the second derivative of k*i**3 - i**3 + i**3 - 5*i wrt i.\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 234242 = -70906. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3542)\/616 - (33\/(-12) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 19*y**2 - 19*y - 11. Let p(u) = 23*u**2 - 20*u - 12. Let r(f) = -6*m(f) + 5*p(f). Determine r(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22589358*x**4 + 34040230 wrt x?\nAnswer: 90357432*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 254 - 96. Suppose 0 = -2*m + 2, -3*m - k = b - 58. Find the common denominator of -81\/2 and b\/(-24) - 2\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = -530 + 490 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, f: 2, s: 5, z: 1}. Give prob of sequence lfl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3403*k + 1403 = -3464*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 6. Let i be o(-9). Sort 9, i, 3 in decreasing order.\nAnswer: 9, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*z - 66 = -z, 4*a - 85 = z. Let x = a - 7. What is the remainder when 97 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000439 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-6256303)\/(-15) + 24\/180 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giqdqg. What is prob of picking 1 q and 1 g?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139009471 rounded to 5 decimal places?\nAnswer: 0.13901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 - (7 + -1 + -55) and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**4)**6\/(v**(-4\/11)*v*v**(1\/4)))**(4\/9) assuming v is positive.\nAnswer: v**(-277\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 13*x - 36. Calculate o(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 8*b - 148. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**2\/2 - 3*c + 6. Let a(y) = -3*y + 7. Let s(w) = -6*a(w) - 15*x(w). Is 8 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 377299640 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: b\"What is the wth term of -8, -18, -20, -8, 24, 82?\n\"Answer: w**3 - 2*w**2 - 11*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6574698 divided by 9.\nAnswer: -730522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1016499 = 5*n, n - 4*j + 203296 = -0*j. Round n to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 7:44 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h. Let d(a) be the first derivative of -10*a**3 + 6*a - 11198. Calculate d(i(y)).\nAnswer: -18750*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 155140100 to the nearest one hundred thousand.\nAnswer: 155100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*j - 40, -3*j - 22 = 2*o - 3*o. Let y(n) = 3*n - 12. Find the common denominator of y(o) and 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273 or 35?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + 5*(-1 + sqrt(567)) + sqrt(567) + sqrt(567) - (1 + -2 + sqrt(567) + -1)))*5.\nAnswer: 5 + 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 355, -5, 5, -2, -57?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 10*v - 1. Calculate the smallest common multiple of 6 and o(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302013 (base 6) to base 14\nAnswer: 3094d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/17))**(-17\/3) assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-85))\/1)\/((-324)\/30 - -11)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 20*z - 26. Let j be a(18). Let p = -7 + j. Solve 3*w = 6, -2*x = w - 5 + p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 612 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 2*s. Let j(n) be the first derivative of -7 + s*n**3 + 0*n + 7\/2*n**2 + 0*n**4 - n**5. What is the second derivative of j(z) wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3985?\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -193. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n**(-2\/5)*(n*(n\/(n*n\/n**3*n))\/n*n*n)\/(n\/(n\/((n**8*n)\/n))))\/((n*n*n**(-2\/5))**(21\/2)\/((n\/(n**(-2)*n))\/n)**45) assuming n is positive.\nAnswer: n**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -44*u**2. Let k(w) = 7437*w. Determine k(t(b)).\nAnswer: -327228*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -86, -178, -362, -668, -1126, -1766?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 = 36. Let x(r) = r**2 - 5*r - 6. Let d be x(j). Which is smaller: 1\/18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + (sqrt(720) - sqrt(720)*-3) + sqrt(720))*-5)\/(sqrt(588) - -1*sqrt(588)))\/(-3*(sqrt(12) - -6*sqrt(12)) - (sqrt(12) + -3*sqrt(12)*-5)).\nAnswer: 15*sqrt(5)\/259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/172745?\nAnswer: 1\/172745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 195, 299, 407, 519, 635?\n\"Answer: 2*u**2 + 94*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcd when three letters picked without replacement from cdcwd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (0 - 0)\/(-1). Suppose a = -3*z + 5*q + 171, 2*q = -0*z - 3*z + 150. Suppose -5*r - 18 = -83. Calculate the highest common divisor of z and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106437509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + -8 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230 (base 7) in base 2?\nAnswer: -10001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 - 242. Let y be (-90)\/f*2\/(2 - 12). Which is the biggest value? (a) -0.027 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 40*o**2 + 4*o - 5. Let q(d) = 79*d**2 + 7*d - 9. Let a(k) = 6*q(k) - 11*s(k). What is the remainder when 98 is divided by a(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by 36.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.88 + -0.12. Let v be (-15)\/((-13125)\/35)*(-25)\/(-2). Put 3\/4, k, v in descending order.\nAnswer: 3\/4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 11*n - 27. Let o be c(-5). What is the second derivative of -17*r - o*r**2 - 11*r - 13*r**2 + 14*r**2 - 11*r**5 wrt r?\nAnswer: -220*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -207322?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 28 - 49, -2*s + 4*b = -28 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**2 + 3*t - 1. Suppose 1 = -b + 4. Determine s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 428 (b) 7\/2 (c) -0.046 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494016, 988647, 1483278, 1977909, 2472540?\nAnswer: 2967171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989123863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 35. Let o be (-3 + 7)\/(-4) + -7. Let y = o - -13. Solve y*z + j = -4*l, -5*z + 11 = -2*z - 5*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 354084745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1434, 0.1 in ascending order.\nAnswer: 0.1, 3, 4, 1434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48 - 1) + (-90)\/(-30). Solve -40 = -18*q + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3666 (base 10) in base 16?\nAnswer: -e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75776*u + 75763*u = 151546*u + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 4*v**2 + 4*v - 13. Suppose 4 = q - 3*l, 0 = -5*q - 0*l + 5*l + 20. Let c be n(q). Solve 0 = a + 7 - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*l - 2778 = 0, 3*k + 5*l - 3959 = -1181. Let w be (-3)\/((-2682)\/k) - 1. Let y = w + 37931\/1788. What is the common denominator of y and -75\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533239 + 1003086. Let s = -80344066\/171 + l. Let x = s + 13\/9. What is the closest to -0.23 in -0.4, x, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*d - 11. Which is the second biggest value? (a) d (b) -3 (c) -1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 + 4 - (-6 - (0 + -8))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 43 - (-25 - 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:04 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/3 - 30*b**4 - 266*b**3\/3 + 6206*b**2 - 25220*b\/3 - 81200 = 0. Calculate b.\nAnswer: -29, -28, -3, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2 - 15*r - 30. Let v(f) = -6*f**2 + f + 3*f**2 - 2*f**2 + 4*f**2. Let u(j) = n(j) - 6*v(j). Determine d, given that u(d) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 3*(sqrt(187) + (sqrt(187) - 4*sqrt(187))))\/(-1*sqrt(275)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*r + 160*r = 10. Suppose -r*b = 172 - 1712. Is b a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaqgqgrqryqrryu. Give prob of picking 1 a and 1 g.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -46, -7, 0, -25 in decreasing order.\nAnswer: 3, 0, -3, -7, -25, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 - 5*h + 8. Suppose -5*b = 24 + 6. Let l be m(b). What is the first derivative of j**4 + 0*j**4 + l - 2*j**4 - j**4 wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 14) to base 4.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.27, 0.2, -3, -0.11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (67 + -45 - -49)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(16)\/sqrt(2)))**2 - (sqrt(99))**2*3)*-2.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 + -359. Which is the nearest to -1\/3? (a) -2\/77 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1714 + 2?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24770790 divided by 90.\nAnswer: 275231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/151, -20\/171, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 248\/(-961)*((-2)\/2)\/(-4)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + 1)\/(2\/169)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 660*c - 140*c**2 - 245*c**4 - 180 - 843*c**3 - 159*c**2 + 73*c**3 + 114*c**2 = 0.\nAnswer: -2, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4)*w)**(-2\/37))**(-19)*(w\/(w\/w**(1\/2)))**22\/((w\/((((w**(1\/2)\/w)\/w*w)\/w)\/w)*w)\/w*w)**16 assuming w is positive.\nAnswer: w**(-4381\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/8 - 5\/8. Which is the second biggest value? (a) j (b) 5 (c) -0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -144, -148, -154, -162?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1789 - -1792. Let r(v) be the third derivative of 0 + 0*v + 1\/15*v**g - 1\/150*v**5 + 1\/30*v**4 - 1\/150*v**6 - 12*v**2. Solve r(f) = 0 for f.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 780*g**3 + 1638*g + 1718*g - 2998*g wrt g?\nAnswer: 4680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/130? (a) 1150\/7 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -396*p**3*z**3 - 4*p**3 + 4*p**2*z + p**2 - p*z**3 - 2*p*z**2 + 9 wrt z.\nAnswer: -2376*p**3*z - 6*p*z - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 - 2*z - 2. What is the remainder when 25 is divided by x(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/4)\/o)*o)**(12\/11)*o\/(o\/((o*o**(-7)*o*o)\/o*o))*o*o*o*o**(3\/11) assuming o is positive.\nAnswer: o**(25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10421 - -144420442?\nAnswer: 144431413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 100 = 2*h. Let z = -51 - -57. Suppose 6*n = 3*n + z. Solve 5*b = -0 - 20, -4*q = n*b + h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*t - 7 + 5 - 14*t + 176*t)*(-4*t**2 + 0*t**2 + t**2) in the form z*t + c + b*t**3 + d*t**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 571\/6 - 256\/3. Let d = m + -19\/2. Let t = 2 + -6. What is the nearest to d in t, -2\/13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 22 = -3*v, 5*v - i = -5*i + 41. Let y be (13\/4)\/(v\/252). Suppose y = c + 5*m, -5*c - 4*m = -6*m - 482. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 7:12 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 4. Let s(y) = -y + 1. Calculate l(a) - 4*s(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -458 - -378. Let k be (-5 + b\/(-15))*366. Calculate the greatest common factor of k and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 70, 2, 0, 8 in descending order.\nAnswer: 70, 8, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - sqrt(121)*1*4)\/sqrt(11)*-5.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 299*y**2 - 127*y - 501. Is v(149) a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011001 (base 2) to base 8.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zibbimi. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k - 102. Let p(t) = -9*t + 51. Let d(s) = 9*p(s) + 4*x(s). Is 7 a factor of d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -468*a + 12. Let u = 17 - 8. Let k be l(u). Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*d**3*i**3 + 8295*c**3*d**3 + 3*c**2*d**2*i - 26*c*i**3 + d**3 + 9*d*i**2 wrt c.\nAnswer: 12*d**3*i**3 + 49770*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 30*l + 40. Give x(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1403*k**5 - 105*k**4 - 22*k**3 + 96876387*k**2 wrt k?\nAnswer: -84180*k**2 - 2520*k - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/4*r**4 + 1\/14*r**7 + 1\/10*r**6 + 0*r**2 + 0*r**3 - 4*r + 0 - 3\/20*r**5. Factor q(v).\nAnswer: 3*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1055 + -824. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2541) - -3*sqrt(2541))\/sqrt(7) - (sqrt(3) + ((sqrt(3)*2 + sqrt(3))*1)**2)*5*6.\nAnswer: -811 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-14) + (-11)\/(616\/(-848)). Suppose 856 = s*x - 44. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 - 90. Suppose i + i + d = 0. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 + 200324*x - 5016213122 = 0. What is x?\nAnswer: 50081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 0.09. Let s = v + -0.07. Let z = s + 0.10000017. What is z rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.2*-0.201.\nAnswer: -5.6682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 82, -0.44, 1\/142, -2\/17?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1302 and 1364.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87*m**3 + 165?\nAnswer: 261*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 533\/5. Suppose -4 = 2*r - 8. Which is the nearest to m? (a) r (b) -3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/16 - 6\/8. Let m be (-2 - 8\/(-6)) + x. Let j = 1 - 1.5. Which is the second biggest value? (a) -1\/3 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j + 3. Let i be k(4). Let m = 55 - i. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 32. What is the remainder when 29 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*y - 2*y - 112, -144 = 2*y + 3*h. Let q = -57 - y. Solve -4*m + q = -7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {m: 1, u: 1, i: 2, v: 1, p: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*-4*sqrt(7))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -74\/83331 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4 + 2*c**3 - 5.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14871, -29952, -45033, -60114, -75195?\nAnswer: -90276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23392981?\nAnswer: 47, 53, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -11. Suppose 22 = z*b - 59. Suppose -3*f + 116 - b = y, -135 = -5*f + y. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 1. Let f = 29 + -27. What is j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 19 = -2*n, 12*n - 46 = -2*q + 9*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let u(o) = 2*o**4 + 2*o**3 - 2*o**2 - 2. Let c(f) = f - 1. Let q(d) = r*u(d) + 2*c(d). Determine z, given that q(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6183 is divided by 165?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 1 k when three letters picked without replacement from {q: 1, w: 1, m: 1, p: 1, k: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -4\/3, -0.042, -385?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3 - -2)\/(5\/(-60)). Let i be (-5)\/((-15)\/a) + 2. Suppose 1695 = -3*h + i*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -970 + 967. Let h = -2 + -2. What is the closest to -0.2 in q, 0.04, h?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/16)\/((-45)\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -47*u**3 + 30*u**2 - 8*u - 1. Let q be y(-13). Suppose -q = -39*c - 15*c. List the prime factors of c.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 199*q**2 + 1\/3*q**4 + 0 + 0*q**3 - 11\/30*q**6 + 0*q + 1\/3*q**5 + 8\/105*q**7. Factor z(t).\nAnswer: 4*t*(t - 2)*(t - 1)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 = 4*m, -y - 12*m + 21 = -8*m. Let k(g) be the first derivative of -1\/4*g**4 - y - 2*g - 1\/2*g**2 - 5\/3*g**3. Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - -2*sqrt(216))\/(sqrt(32)\/(-3*sqrt(4))).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let q(d) = -d**2 + 5*d - 3. Let s be q(2). Let o(i) = -s*i - 2 - h - 4 + 3. Calculate o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74802776 - -4?\nAnswer: 74802781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6487, 11522, 16557, 21592, 26627, 31662?\n\"Answer: 5035*t + 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 22 + 3. Let c(j) = -o*j**2 + 3*j - 3*j**2 + j**3 + 5 - 2 + 4*j**2. Let n be c(3). Solve m = n*x - 11, 0 = -m - 5*x + 1 + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -36. Calculate the smallest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-40) + (-9)\/24. Solve 66*z - 51*z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 64 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -457504 + 221924. What is t rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -8. Let n = f - -1. Suppose h = 5*v, 3*v - 10 = -3*h + 8. Which is the smallest value? (a) -0.1 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 169 = 45*j. Suppose j*u = -2*o + 141, -3*u + 2*o = -2*o - 159. What is the remainder when u is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 5*n**2 + 3*n - 8. Let z be w(-6). Suppose -z*q = -9*q + 4. What is the remainder when 46 is divided by (-9)\/(q\/12 - (-5)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) + sqrt(63))*4.\nAnswer: -4 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 47*l**2 + 127*l + 78. What is g(20)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202*m**6 - 5284*m**3 - 64658575*m**2 wrt m.\nAnswer: 24240*m**3 - 31704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w)**(14\/3)*w**(-1\/3)*w\/((w**(4\/7)*w)\/w) assuming w is positive.\nAnswer: w**(104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 16. Suppose 3*u = -2*r + 22, 2*u + 2*u + 9 = h*r. Put 9, 2, u in decreasing order.\nAnswer: 9, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973 = -282*d + 155 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -378096315.23 take away -0.5?\nAnswer: -378096314.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 39*n + 446. Is l(-26) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/6)*l**(-3\/7)\/l*(l\/l**(2\/3))\/l**12 assuming l is positive.\nAnswer: l**(-195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)*p*p**(-2\/9))\/(p**(1\/3)*p)**(-12)*((p*p*p**(-1)*p)\/p)**(1\/21)*(p\/(p\/(p\/p**5)))\/p*p**(-3\/5) assuming p is positive.\nAnswer: p**(3599\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -177*t**2. Let c(a) = 1237*a. Calculate k(c(u)).\nAnswer: -270839913*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*v - 28, -287*g = -2*v - 285*g + 10. Let d(o) = -o**3 + 6*o**2 - 4*o + 8. Determine d(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 + 5*x + 2. Let a be i(-2). Let v = -340 - -494. Suppose a*p = 6*p - v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(-4 + 3 - 1)*(v + 2*v**3 - v)*(-65*v - 695*v - 20*v) to the form m*v**3 + p*v**2 + o + f*v + b*v**4 and give b.\nAnswer: 6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238\/5 + -48. Let b = 736 - 734. Let x be (1\/(b\/4))\/((-1414)\/303). Is x >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -61 - 2. Suppose 6*d = 3*d + k. Suppose 0 = -d*n + 6*n. Solve 3*h - 21 + 6 = n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 38 - 18 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1619, 3244, 4869, 6494?\n\"Answer: 1625*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-5)))**(-20\/3)*f**(-3\/7)*f\/f**(-12)*f assuming f is positive.\nAnswer: f**(985\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120 and 3123340?\nAnswer: 374800800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdrppqdqqaqpqpqqq. What is prob of sequence qqd?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 835205 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g - 11*g - 118*g**2 + 22*g**2 + 12*g**2 to y + h*g + j*g**2 and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i. Let n be d(-1). Let u(x) = 29*x**2 - 27*x - 27. Let c = 975 - 976. Let s be u(c). Solve -5*w + 24 = v, -5*v - n*w + 3 + s = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 6*r**2 - 7*r + 6. Let g(t) = 2*t**2 - 2*t + 2. Let k be g(2). Let q be (k\/(-4))\/(9\/(-30)). Is n(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t - 156. List the prime factors of h(20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + r. Suppose 0 = -f - 2*f + 3. Let l be x(f). What is the third derivative of l + 6*i**5 - 7*i**2 + i**2 - 6 wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 97\/5, 4\/9, 5?\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 15*v - 247*v**2 + 19*v + 21*v**2.\nAnswer: -226*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.048 in -1, -2\/9, -1.235, 64?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -424?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-8))\/(-3*1\/(-456)). Suppose 0 = 45*p - 32*p - 494. Calculate the highest common factor of r and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/105)\/((-1)\/5). Let m = -0.114 + 0.914. Let l = 0.4 - m. What is the second smallest value in 0.3, x, l, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491999485.\nAnswer: 5, 98399897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*316\/80 - -2 and 45\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 1. Let z = 2.38 - 2.18. Let x be ((4\/9)\/(-1))\/(-1). What is the nearest to 0 in z, p, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7142.00279524 less than 0.01?\nAnswer: -7141.99279524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 92. Let l = q + 37. Let h = l + -5. Solve -4*m = -h*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2481 = 5*c + 36. Suppose 0 = 2*y - b - 59, 4*y - 113 = -97*b + 94*b. Calculate the remainder when c is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3743.761 meters in kilometers?\nAnswer: 3.743761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 19*t + 5. What is f(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*2)\/(sqrt(1331) + 2*sqrt(1331)) + -5.\nAnswer: -5 + 16*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-2)*n))**(-2\/15)*(n**0*n)**(-21)*(((n\/(n**6\/n))\/n)\/n*n\/n**(3\/4))\/((n*n**(-6))\/(n\/n**(2\/15)*n)) assuming n is positive.\nAnswer: n**(-1177\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25851 is divided by 5168?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 10 = 0. Suppose -v - 1 = 7*o - k*o, 2*v - 9 = o. What is the units digit of -58*(1 - (v + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 152*u + 42 - 24*u**3 + 23*u**3 - 141*u. Let p be t(0). What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5. Let s(d) = 56*d**2 - 2*d - 2. Let h be s(x). What are the prime factors of (h\/6)\/(1\/3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10644464?\nAnswer: 2, 665279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 681846 = 3*q, 74*q - 4*i = 73*q + 227285. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.21401 and -3918558.\nAnswer: -3918550.78599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.771725 - 0.081125. Round r to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 13809031.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -38. Calculate the least common multiple of 3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*c - l + 7058 = -74*c, -4*l = -c + 2357. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6209 by 1.\nAnswer: -6209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 523950000 to the nearest 1000000.\nAnswer: 524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914991 to the power of 1\/2, to the nearest integer?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164296 - 492883 - 70*h + 164291 + 164296.\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13 = -3*c, -5*d - 4 + 3 = c. Suppose c*m - 5*w - 7 = 3*m, 3*w = 5*m + 9. Sort -1\/5, m, 0, 1.\nAnswer: m, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6286420*o**3 - 18859269*o**3 + 6286415*o**3 + 6286422*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 divided by 428?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 39 - 29 = 0. Let z be -12*((-98)\/(-28) + (-7 - t)). Calculate the highest common factor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 24\/13, -2\/7, 0.2.\nAnswer: -2\/7, 0.2, 24\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 48d01?\nAnswer: -48cda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1512)\/17325*350\/280.\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -385126 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, -1\/12, -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 49135 divided by 2323\nAnswer: 49135\/2323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(25500\/(-48))*-1*3*(-30)\/45\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.25 and -0.3677?\nAnswer: 35.6177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 3660 = 11*y. Suppose y*h - 5054 = 115*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019624 is divided by 1634.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 58\/5, 6\/7, 0.2, -3, -1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + -4 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 8*z**2 + 6*z - 5. Let s be a(-7). Let c(h) = 2 - 4*h**2 - s. Let t(m) = 4*m. What is t(c(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 z, and 1 m when four letters picked without replacement from {t: 4, m: 4, o: 1, k: 4, z: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12287630 divided by -5\nAnswer: -2457526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22125 + -16197. Solve -8*o + t - 5968 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/7 + 3928*c\/7 - 2071929\/7 = 0.\nAnswer: -4399, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12125, -22580, -33035, -43490?\n\"Answer: -10455*s - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 4. Let u(t) = -9*t**2 + t - 85. Let w(p) = -4*l(p) - u(p). What is the second derivative of w(a) wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.9. Let m = -6 - -6.1. Which is the closest to d? (a) m (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from uqiriuuiuxx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.022, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250559399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/615 - -5053\/4305. Suppose -m - 4*m = z - 5, -3*z = -4*m + 4. Let i be -2*(3 + -4)*m. Which is greater: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1813689660 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2769355 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10\/3 (b) 0.14 (c) 2\/3 (d) 7\/8 (e) 5 (f) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 + 36536*q = 0. What is q?\nAnswer: 0, 91340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7287182 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 24126409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + -6*-2*sqrt(1573)*3*-4 + 4 + -2 + 2))**2.\nAnswer: -25344*sqrt(13) + 130470928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j - 820 = 0. Suppose -6*v + j = -v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6443 by -36950.\nAnswer: -6443\/36950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 2}. What is prob of picking 1 f and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1317159 divided by -439053\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -132, -199, -278, -375, -496, -647, -834?\n\"Answer: -n**3 - 60*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -61145260\/7 at least -8735038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.32 - 32.52. Let y = -7.15 - -0.15. Which is the third smallest value? (a) 0.1 (b) 0.3 (c) q (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/14))\/((l*l**(-1\/38)*l)\/l) assuming l is positive.\nAnswer: l**(-6\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191868 and 23364.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2\/9, 12596\/23, 2\/677?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284558 is divided by 144.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o - 6. Let h be o\/5 + 85\/25. Suppose -5*j = 3*l - 3*j - 104, h*l - 4*j - 98 = 0. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -q + 4*p + 12, q = 3*p - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/((-1)\/(-162)*6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -86*q**2 - 9*q + 33. Let x(n) = 5*n**2 - 3*n + 1. Calculate -f(z) + 3*x(z).\nAnswer: 101*z**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.3, 0.03, 3.\nAnswer: -10, 0.03, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1539)*2 + -4 + sqrt(1539) + -3)*3)**2.\nAnswer: -3402*sqrt(19) + 125105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvfvfdpdttffft. Give prob of picking 1 f, 2 d, and 1 v.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1584 - -9527\/6. Find the common denominator of y and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/1033, -6.\nAnswer: -6, -2, 2\/1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*k + 678 = 1006 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-4 - -5) + 7 - 11 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147027760 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:52 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2226928, -4453857, -6680786, -8907715?\n\"Answer: -2226929*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6762300 rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 - 2763?\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - 2\/(-3). Let m be (4\/12)\/(s\/30). Solve 3*r + 4*i = -5 - 3, 5*i + m = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -66. Let n(m) = m**2 + t - 37*m + 22*m + 18*m - 9. Let x be n(-5). Solve 3*w = -4*k - 9, 0 = -x*w - 0*k - 4*k - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16049 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) + (sqrt(22)\/sqrt(2) + sqrt(11))**2)*-2.\nAnswer: -88 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1719 and 10.\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f - 28. Does 21 divide q(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 + 10.13. Which is the closest to 4? (a) -5 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.446251 to 2 dps.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 904189 and 75933.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f - 32 = 2*p, 0 = p - 4*f + 3. Let m = p - -61. Suppose 4*n = 9*n - m. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -4.288. Let f = 0.188 + j. Which is the biggest value? (a) 0.4 (b) f (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2232 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7247 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/45)\/((-17)\/1836*3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6)**10\/((j\/(j**(2\/5)\/j*j))\/j**5) assuming j is positive.\nAnswer: j**(322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040047 to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24*r + 90. Let j be -4*(((-15)\/(-5) - 6) + 4)\/1. Calculate z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 571696 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 5*c + 7. Determine v(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5750.16 millilitres?\nAnswer: 5.75016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 6*w - 5*w + (3 - 1 - 1)*(2*w + 3*w - 3*w) - 19 - 12*w + 19)*(-1 - 3 + 3) - w + 2 - 2 as v + n*w and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 5*i**2 - 8*i + 10. What is u(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2369098*w + 81. Let i be p(11). Let s be -1 + i + (-6)\/3. What is s rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 14*j - 10. Determine i(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29)\/((-261)\/(-90)) - -61. Solve -14*x = s - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65295 divided by -8\nAnswer: 65295\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4 = 5*b, 0 = -14*k - 86*b + 83*b - 44 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + 10 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23+0\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*h - 2*h + 22, -6 = -y + 2*h. Suppose y*i - 10 = 10. Let a(o) be the second derivative of -o**3\/6 + o**2 + o + 74. Calculate a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 4*n + 2*b - 117, -b - 31 = -4*n. Calculate the highest common factor of 381 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2499 and 3213.\nAnswer: 22491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - s**3 + 0*s**2)*(11 + 0 + 0)*(-2*s + s + 0*s).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253781*c**3*m - 541036*c**3 - 69*c*m - 5*c + 2*m wrt m?\nAnswer: -253781*c**3 - 69*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l)**(-1\/14)*(l*l**(1\/5)*l)\/l**(-5\/4) assuming l is positive.\nAnswer: l**(67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/304*(8 - 924\/133). Are a and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1138 and -7\/8205549.\nAnswer: 16411098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150154631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 115963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29428248*r - 270859091.\nAnswer: -29428248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216668.\nAnswer: 2, 554167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -61*w**3 - 21*w**2 + 25*w + 86. Let f(b) = 11*b**3 + 4*b**2 - 5*b - 17. Determine -11*f(o) - 2*k(o).\nAnswer: o**3 - 2*o**2 + 5*o + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4606470 divided by 2970\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2*v + 0*v - 6*v. Let o(l) = -3*l - 2. Let i(z) = -3*z - 3. Let d(m) = 2*i(m) - 3*o(m). Give d(y(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 4*l - 1. Let y be g(4). Put y, -0.3, 0 in decreasing order.\nAnswer: 0, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/45 + -2*32\/(-36). Solve 0 = k + f - 2, 4*f - j*f + 21 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-76)\/(-6) - (-10)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u - 19. Let j be i(3). Let z = 132 - j. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-639)\/(-6)*(-3)\/(18\/4). Let t = 73 + y. Solve 4*j - t*b = 18, -5*j = -j - 3*b - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6459670 rounded to the nearest ten thousand?\nAnswer: -6460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96.79161*-0.3.\nAnswer: 29.037483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34060 and 108635680.\nAnswer: 1412263840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:19 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 8. Let o(p) be the first derivative of g - 57*p**4 + p**2 + 57*p**4 - p**5. Find the second derivative of o(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72834676 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9507862 equal to -9507838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376*m*y**2 + 2*m*y + 3*m + 1 wrt y?\nAnswer: -752*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 - 4*m**4 + 6*m**3 + 16*m**2 + 8*m = 0. Calculate m.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.16? (a) -2\/9 (b) -3 (c) 2 (d) -10 (e) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-368)\/(-20). Suppose -b = 15*u - 21*u. Suppose u*p - 5 = 7. What is the least common multiple of p and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {y: 3, u: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 25*v**3 + 2684*v**2 - 18*v + 18. Let j(i) = 6*i**3 + 671*i**2 - 4*i + 4. Give -9*j(c) + 2*w(c).\nAnswer: -4*c**3 - 671*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 - 7682*p - 2487576 = 0.\nAnswer: -3484, -357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20796\/35 or -594?\nAnswer: -20796\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -10508.9554 and -218.83.\nAnswer: -10727.7854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.1 (c) -0.03 (d) -0.05 (e) 6 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/9 - 10\/3*z**3 + 14\/9*z - 2\/9*z**2 - 2*z**4 = 0. What is z?\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359783576399 - -0.3.\nAnswer: -359783576398.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*n - 5762 - 1298 = 4990 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -13*j**4 + 49*j**3\/3 + 27. Find the third derivative of b(p) wrt p.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 9, q: 1, t: 4, z: 2}. What is prob of picking 3 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1430857775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 126*q**2. Let j(d) = -247*d + 41. What is j(c(o))?\nAnswer: -31122*o**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321409607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -808275 divided by 325.\nAnswer: -2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpqqanb. What is prob of picking 2 q and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 226*u - 2. Let q be a(0). Suppose 18 = 3*m + 3*l, -5*m + 10*m + l = 10. Let b be 14\/(-6) - (m - 3). What is the nearest to 2\/5 in q, 9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 5*h + 3. What is l(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128189 is divided by 247?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 85. Let u(m) = -472*m**2 + 7*m + 24. Let a be u(j). Let g = -33146 - a. Round g to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1941 times 1.335\nAnswer: -2591.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573629 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let q(l) = 209*l**2. Give q(t(x)).\nAnswer: 209*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-35 - -43)) + -48?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*y + i - 5, -13*i + 12*i - 365 = -5*y - 16*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 105*p - 706. Calculate k(-20).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45930615\/2 or -22965309?\nAnswer: -45930615\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 22*i**2 - 272*i + 45. Determine k(-10).\nAnswer: -3435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 at least -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 418151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 - 12 = -4*k, 32 = 5*k - 4*n. Solve -k = 2*w, -14 + 0 = -4*u + 3*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o**3 + 196*o**2 - 7*o + 6. What is the smallest common multiple of 918 and u(16)?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*n - 45 = -2*n, -5*p = -2*n - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 not equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 137619 in -1\/4, -0.3, -1\/5, -20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -464 + 1813 + 61*p**2 - 825 + p**4 wrt p.\nAnswer: 4*p**3 + 122*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x - 9. Determine l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 - x + 1. Let n(z) = -69*z**3 - 5*z**2 + 5*z - 5. Let o(i) = -n(i) - 4*p(i). What is the tens digit of o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75637672 is divided by 896?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 3*s**2 + 11*s + 12. Calculate a(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbooooobbbooooobob. Give prob of sequence bo.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41135 - 35348. Is -2\/7 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136548 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -25*l**2 + 172*l + 16. Determine w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.015, 0.2, -0.7, 0.4 in descending order.\nAnswer: 3, 0.4, 0.2, 0.015, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 24*s + 2656. Let g = -407 + s. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491762069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 6*m**2 + 2*m - 6.\nAnswer: -2*(m - 3)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.8592 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*d*s**4 - d*s**3 + 3*d*s**2 - d*s - d - 1855*s**4 + s**3 + 12845 wrt s.\nAnswer: 3528*d*s - 6*d - 44520*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34444429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1348123 and 5887.\nAnswer: 1348123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501 + 501 + 3659782*u - 3659776*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(3\/((-6)\/(-4))). Suppose -4*l - l = q. Solve 0 = b - 2*k - 3*k + 28, l = 5*b - 4*k + 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.35771 - -9443\nAnswer: 9446.35771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 8) to base 7\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*p**2*v - 3*p**2 - 435584*p + 479816*v - 1 with respect to v.\nAnswer: -57*p**2 + 479816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-3)*583869\/(-286).\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 10\/7, 2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -424202 - -11?\nAnswer: -424151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-14)\/(-12)*7. Calculate the greatest common factor of 63 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605\/363*(-18)\/(-27).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -35*h**2 - 22*h + 2. Calculate v(-2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uazzeuzdhehdzuu. What is prob of sequence eud?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from udkukddedddguudddu.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2091)\/(-3444) + (-4)\/7?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssvs. Give prob of picking 2 v and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:44 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7700 - 46?\nAnswer: 7654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twereowejoetojeoeot. Give prob of picking 1 o, 2 j, and 1 t.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45357.02um?\nAnswer: 45357020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7718*q**2 - 5956*q**2 - 3150*q**2 + 2609*q**2 + 1760*q**2.\nAnswer: -12455*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1868, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4064 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*o - 409, 26 + 1175 = 3*v + o. Round v to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - x**3 - x**2 + x - 5. Determine w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Suppose 0 = -a - j*a + 12. Suppose s - 56 = -a*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1376 + -921. List the prime factors of g.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 52.85?\nAnswer: 158.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -12*q + 88. Suppose 4*h - 3*h - 53 = 0. Suppose h = 3*c - n, 5*n + 102 = 4*c + 35. What is the lowest common multiple of c and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*p - 152, 4*p - 6*p - 272 = -4*s. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5891592427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**5 - 3*b**4 + 2*b + 1. Let z(i) = 5908*i**5 + 18*i**4 + 1079*i - 5. Let x(d) = 6*q(d) + z(d). Find the second derivative of x(j) wrt j.\nAnswer: 118040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41200.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, 107, 388, 939, 1850, 3211, 5112, 7643?\n\"Answer: 15*l**3 - 4*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3248?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q = 88*q - 404 + 52 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 578 - -1143. Suppose 3951 = 8*p - n. What are the prime factors of p?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3990, 0 in increasing order.\nAnswer: 0, 5, 3990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(2\/((-16)\/6)). Is -28 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 15*d**2 + 24*d - 13. Is x(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -37, -1\/47 in decreasing order.\nAnswer: -1\/47, -2\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -64 in ascending order.\nAnswer: -64, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 7. Let u be h(-3). Let j(l) = l**3 - l + 1. Let t(f) = -5*f**3 - 4*f**2 + 3*f + 3. Let b(k) = u*j(k) + t(k). Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-11 - -12 - 4 - (2 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1995300 and 2187?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**6\/42 - f**5\/35 - 57*f**4\/28 + 145*f**3\/21 + 100*f**2\/7 + 468. Factor r(q).\nAnswer: q*(q - 5)**2*(q + 1)*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3451 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 5) in base 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 1, a: 9, z: 1}. Give prob of sequence ma.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18042 divided by 6\nAnswer: -3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2 - h - 3. Let o be n(-3). Suppose -5*x - 88 + 3 = -5*t, 2*x = t - 19. What is the highest common divisor of o and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 11*m - 1200. What is the common denominator of ((-2)\/m)\/(18\/(-1674)) and 53\/74?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 23*i**2 + 1184*i - 299. Calculate w(-51).\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 28565299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x + 132 + 429 + 187 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2769 and 741?\nAnswer: 52611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 p when three letters picked without replacement from hpppppuhppupppppppup.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = m + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122112 (base 3) to base 2.\nAnswer: 101001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -143, -214, -285, -356, -427?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 + -211. What are the prime factors of z\/(-10) - 16\/40?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let z be 3836\/(-685) + (0 - 9\/(-15)). Sort z, i, -4, 3 in descending order.\nAnswer: i, 3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16a8c - -5?\nAnswer: -16a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let u be (d\/(-2))\/(1\/12). Let t(c) = c**2 - 5*c. Let w be t(6). Calculate the greatest common divisor of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 6*u**2 + 7*u + 3. Let y = 15 - 22. Let h be c(y). Suppose -h*o = 4 - 16. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Solve 0 = i*a + 4*k + 2 + 14, 0 = 5*a - k + 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = m - 21, -3*m = m - n - 8. Solve -3*d - m = -16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9735611, -9735608, -9735591, -9735554, -9735491, -9735396?\n\"Answer: z**3 + z**2 - 7*z - 9735606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971086 is divided by 12148.\nAnswer: 11394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q - 76*q = -46. Suppose -28*g + 12785 = -q*g - 5*j, -j = 4*g - 10228. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -32. Suppose 0 = 8*l - n*l - 246. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*y - 14 = 0. Suppose 2*u + 4*r = 20, y*u = -u + 5*r + 52. Suppose -6*a = -u*a + 496. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -14*p + 35. Calculate the lowest common multiple of 2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1029 + 154*l**3 - 89*l**2 - 1029 + 89*l**2.\nAnswer: 154*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0510664907 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from vgsvagaasa?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-135)\/18)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11704 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-39))\/k)*k)\/(((k\/(k*k*k**(-4\/9)))\/k*k)\/k*k*k) assuming k is positive.\nAnswer: k**(365\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589968039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 384532791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 12*v**2 - 3*v + 37. What are the prime factors of f(-13)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/z*z**3*z\/z**(-3\/7)*(z*z*(z\/(z\/(z*z**(-1\/2)\/z)))\/z*z*z)\/z)\/((z**1*z)**49\/(z**(-2\/7))**34) assuming z is positive.\nAnswer: z**(-1341\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10781, 3, 1, -1, -2 in descending order.\nAnswer: 10781, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -27*j - 130. Let i be v(-5). Suppose i*m + t - 44 = 0, 4*m + 6*t - 9*t - 39 = 0. Let d(w) = -w**2 + 9*w - 3. Determine d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(252\/117) + 1)*(23 - 13)*3.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 19. Give p(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8522575.\nAnswer: 5, 340903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 5*k)*(-2*k - k**3 + 2*k) + k**3 - 2*k**4 - k**3 + (0 - 1 - 3)*(0*k**4 - k**4 - k**4).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 2.82 (c) -2\/3 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a - 1979 - 1862 - 1123 = 0 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/7 + 135010*z**2\/7 - 135012*z\/7 = 0.\nAnswer: -67506, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 8*i - 8. Let q be l(6). Solve -q*o - 16 = 0, 3 = -3*g + o - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5390 + 5615. Suppose j = 3*j - 100. What is the highest common divisor of s and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 10*m**2 + m**3 - 9*m + m**2 + 13 - 2. Let j be f(8). Suppose -j*o = -8*o + 15. Solve 0 = o*v - 3 + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -66\/41 (c) -2 (d) -124660\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 222530379 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -0.3, -1, -0.293, 2\/17, -11, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 884840.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(77) + sqrt(77)))\/((sqrt(7) - sqrt(63))*-2) + (1 + (sqrt(22)\/(-1*sqrt(2)))**2)*4 + 5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 2106, 7277, 17346, 33945, 58706, 93261, 139242?\nAnswer: 198281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.611857 and 2.\nAnswer: 3.223714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1.5, -6.27, 2, -126?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 10:21 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 81*c + 0 - 25\/12*c**4 + 2\/3*c**3 + 25*c**2. Differentiate r(s) with respect to s.\nAnswer: -50*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 3*j + 4. Let n be c(3). Let w = 12 - 9. Let o = 7497 + -7498. What is the nearest to o in 1\/2, n, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-6)*(-12)\/(-10))\/((-11384)\/14230)?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.3053 nanograms in tonnes?\nAnswer: 0.0000000000006473053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26140615*x**4 - 379587*x**2 - 10 wrt x.\nAnswer: -627374760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/(50\/(-175))*22816\/(-124)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1682*f - 10019. Calculate t(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 3216*h - 3213.\nAnswer: -3*(h - 1071)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1*sqrt(80))\/(sqrt(90)\/(1*sqrt(9))) + 3.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112079 - 112078.9400104. Let r = n + -0.06. What is r rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*y = 184*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 - 11*b**3\/3 - 2*b**2 + 226*b. Calculate l(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672203609.\nAnswer: 2672203609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 + 383 - 673 = 44*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17960 + 377074\/21. Find the common denominator of -52\/9 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:59 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -43. Let g(y) = y**3 - y - 2. Let v be g(h). Let w be 20*((-1)\/4 - v\/4). Solve -1 = -w*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2779 + -4?\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 - v**4\/8 - 2*v**3\/3 - v**2. Let g be k(5). Suppose g*h = 3*h + 42. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -72. Let u(c) = -c + 2. Let q be u(-9). Let k = q + -15. What is the second smallest value in k, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -230*w**5 + 4*w**4 + 4*w**2 - 3*w + 116. Let d(p) = p**4 + p**2 - p. Let n(r) = -4*d(r) + l(r). Find the second derivative of n(i) wrt i.\nAnswer: -4600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1475276*l**3 + 5155596*l**2 wrt l.\nAnswer: 8851656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291736 divided by -244?\nAnswer: -5294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (11 - 287\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o. Let a(i) be the first derivative of 1\/2*i**2 + 0*i - 58 - 17\/3*i**3. Determine a(v(q)).\nAnswer: -425*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 511*t + 934*t - 472*t.\nAnswer: -49*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2))**(-42)*((m*(m*m\/(m*m**(-2)))\/m)\/m)**0)\/((m**(-5\/3)*m\/m**3)\/((m*m\/(m*m**6)*m)\/m**(-4))) assuming m is positive.\nAnswer: m**(-367\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -31, 63, -1, 60.\nAnswer: -31, -5, -1, 60, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -98217*t + 3. Let w(y) = -282*y. What is w(m(z))?\nAnswer: 27697194*z - 846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-52)\/104*(-12)\/(-2)). What is g in -4\/7*g**2 + 6\/7*g + h - 2\/7*g**3 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*k + 207*k + 49146 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11826 and 3132138.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - p - 13 = u, 6 = -2*p. Let a = -6 + 18. Suppose k = -u + a. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*q - 129, -47*v = -46*v. Solve 66 = q*r - 32*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 16 (c) -1 (d) -2\/351 (e) 2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361422606 - 4?\nAnswer: -361422613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + 52\/8. Suppose -h = -i - 2. Is i + (402 + -3 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/3 + 34772*k**3\/3 - 139099*k**2\/3 + 173878*k\/3 - 23184 = 0.\nAnswer: -34776, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 36 = 7*l. Let m be 35 + (12\/(-9))\/(2\/l). Let x = m + -14. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d - 9. Let w be s(-7). Let q = 0 + w. What is the greatest common factor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*p**6 + 120*p**2 + 2*p wrt p?\nAnswer: 25320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -25, -59, -113, -193?\n\"Answer: -a**3 - a**2 - 10*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191640 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 56 = 4*k. Suppose -4*v = -k*v. Suppose 4*u + 4 = 0, m - 2*u + 3*u - 7 = v. What is the remainder when m is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -913, -2064, -3675, -5746, -8277?\nAnswer: -11268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212 + 577 = 60*m + 409 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655 + 1274*k + 655.\nAnswer: 1274*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let j = 14.9 - 2.9. Let m = -11.8 + j. What is the nearest to d in -2, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 18. Suppose 3*t = -0*t - u. Let d = 9 + t. Sort -2, 0, d in ascending order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*q**4 + 80\/3*q**3 + 385\/3*q**2 + 0 + 490\/3*q.\nAnswer: 5*q*(q + 2)*(q + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12759*k + 371 - 371.\nAnswer: 12759*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3, 0.06, -0.0321?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esels. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10166*q**2 - 50*q - 239. Is c(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 931 divide 115407648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o + 4. Let g(n) = -13*n + 3. Let c(d) = 7*g(d) - 5*j(d). Let s = 24 + -22. Give c(s).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 - 281429*u**2\/2 + 562859*u\/2 - 844289\/6.\nAnswer: -(u - 1)**2*(u + 844289)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b1d (base 16) to base 9.\nAnswer: -41547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/5*(7 - 4\/(-4)). List the prime factors of (-7052)\/l - 1\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-436)\/(-14) - 5\/35 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.4. Let r = -0.38 - -0.07. Let p = 0.19 - r. Is p less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*a - 652, 4*a + 7*q = 2*q + 634. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3)*(-5*d**3 + 3*d**3 + 0*d**3 + (d**2 + d**2 + 0*d**2)*(7*d - 2*d - 3*d)) as v*d**2 + k*d**3 + f + s*d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 - 67320351*a**2 + 570118*a?\nAnswer: -6*a - 134640702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - b - 7 = 0, -4*r = -5*b + 8 - 5. What is the tens digit of 87\/2 - (0 - r\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - g - 730 + 776, 5*y - 5*g = -130 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*c**4 + 514*c.\nAnswer: 828*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/62, 1\/7, -0.1, 0.07, 4, 1 in increasing order.\nAnswer: -0.1, -3\/62, 0.07, 1\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/(-216))\/((-5)\/(-126)) + (-3)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + (-11)\/(-21). Let m = 4.72 + -0.22. Let u = -4 + m. Which is the biggest value? (a) u (b) -4\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225360821 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 41, 68, 95?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**2. Let a(g) be the first derivative of g**2\/2 + 2. Give j(a(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67943556*i + 13*i**3 - 67943557*i + 29*i**3 + 14*i**3.\nAnswer: 56*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17386425 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072714539.\nAnswer: 3, 13, 313, 87877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2790 and -99\/1842070.\nAnswer: 513937530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*t*x**3 - 5205*t*x - 2*x**3 - 29717*x wrt t?\nAnswer: 5*x**3 - 5205*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - r = -52, 4*y + 2*r + 65 = -y. Let u be (1\/y)\/(-3*(-5)\/(-30)). Let l = -26\/5 + 27\/5. What is the third biggest value in u, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -44.1. Let r = -0.08 + 0.18. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11380 - 11379. Which is the nearest to -0.9? (a) s (b) 3\/13 (c) -0.5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 461 - 10*m + 456 - 1367 + 8*m**2 + 456. What is w(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 3)*(-3 - 1 + 3)*(0 + 4*b + 0 + (0*b + 8*b + b)*(4 + 3 - 3)) as g + l*b and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 408*w + 740. Let o(c) = -c + 5. Let u(j) = -a(j) + 5*o(j). Differentiate u(m) wrt m.\nAnswer: -413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.77089*-0.5.\nAnswer: 0.385445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1 (b) -4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2. Suppose 4*j - 2*m = 2*m + 176, 2*j = 3*m + 85. Suppose 233 + j = 8*l. Let c(n) = 2*n - l + 35 - 3*n. Calculate c(q(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 50*r - 1449. Let f be d(29). Let q = -1.95 - -0.15. Which is the nearest to f? (a) 0.3 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0162546 to 4 dps.\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53294899 divided by 1211?\nAnswer: 44009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 9, -13 in increasing order.\nAnswer: -13, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 207, 491, 785, 1095, 1427, 1787?\n\"Answer: n**3 - n**2 + 280*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - m - 2*m + 11 = 0, 5*m = -5*j + 20. Let y(t) = t**2 - 8 + 11 - 4. Let f(h) = 9*h**2 - 5. Give j*f(v) + 5*y(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1835 + -0.2065. Which is the smallest value? (a) h (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmtmmmmtmmt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-5) + 0)*(-75)\/10. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 60. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26355295 or -26355296?\nAnswer: -26355295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 + 8*b + 2. Let y(l) = l**3 - l. Let f = -24 + 38. Suppose -4*t = 2*i + f, -2*t + 2 = t - i. Calculate t*g(z) - 6*y(z).\nAnswer: -z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/(sqrt(7) + 4*sqrt(21)\/sqrt(3)) + 4 - 2*sqrt(85)\/(sqrt(30)\/(sqrt(36)\/sqrt(6))))*-2)**2.\nAnswer: -288*sqrt(17)\/5 + 7108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 q, and 1 e when three letters picked without replacement from aarleerquluu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1503 - -1503.9. Which is the third smallest value? (a) r (b) -10\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + r - 5 = 0, 2*r = 12*p - 9*p + 10. Suppose p*y = -y + 7*y. Which is greater: y or 6\/113?\nAnswer: 6\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -886\/33?\nAnswer: -886\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1002 by -2.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*g)*(-2*g**4 - 2*g**4 - g**4).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -4*m**3\/3 + m**2 + 8. Factor t(q).\nAnswer: -2*q*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*q - 9 = 0, 3*u = -35*q + 37*q - 49. Let i(c) = 3*c + 28. Calculate i(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c**(5\/2))\/c)\/c)\/c*c*c\/(c\/c**(-8)*c)*c)\/(c**1)**22)**(-4\/9) assuming c is positive.\nAnswer: c**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 8 - 23 = -5*a, -3*a - 2*h + 9 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6291 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpc when three letters picked without replacement from lcpkqpqpkk.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1110 and 9?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + -5*sqrt(9)*-1 - -4*(sqrt(9) - sqrt(36)))\/(sqrt(432) + (sqrt(432) - (sqrt(432)*1*1 - sqrt(432))) + sqrt(432) + sqrt(432))*4.\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c7 (base 13) in base 9?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/238095 and 155\/3996?\nAnswer: 2857140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*w**2 + 0 + 14\/3*w**4 + 0*w - 10\/3*w**3 - 2*w**5 = 0. What is w?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - r + 40 = -2*r, 3*s - 5*r + 99 = 0. Let a(b) = -b**3 - 21*b**2 + 46*b - 9. Give a(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 6*h**2 + 6*h + 39. Let m be b(6). What is the highest common factor of 200 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j + 3. Let s be n(2). Let c = -41 + s. Solve -4*p + 2 + 10 = c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t. Let s(y) = 21*y**2 - 12*y. Determine s(k(c)).\nAnswer: 4116*c**2 - 168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 2*n + 7. Let o(z) be the first derivative of z + 648. Suppose r = 5*j - 47, 0*j - 3*j + r + 27 = 0. Let c = -16 + j. Calculate c*o(p) + i(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 34 = a, p + 2*a - 17 + 13 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 15. Let r(g) = -g**3 - 3*g**2 + 1. Let d be r(-3). Solve 0 = 5*m + p + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + r**2 + 2*r + 458. Let c be u(0). Let m = 813 - c. What are the prime factors of m?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(-2*sqrt(7)) + ((-3*sqrt(35) + sqrt(35))\/sqrt(5))**2)*-6.\nAnswer: -168 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/7 and 27\/1450?\nAnswer: 10150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t + 38*t**2 + 135*t**2 + 0*t - 5 + 105*t**2 + 0. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8 - 3\/24*6) + (-267)\/324.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11849262?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7)*y**(-2\/5))**(-26)*(y**(1\/2))**(-8)\/((y*y**6)\/(y**(-1)*y*y)) assuming y is positive.\nAnswer: y**(782\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 24*s**2 - 39*s - 412. Let f be g(6). Let t be ((-6)\/28)\/((-498)\/(-8)). What is the second smallest value in f, t, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7 - 5. Let w = 0 - -0.06. Put -3, x, w, -1\/5 in ascending order.\nAnswer: -3, x, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*v**4 - 330121*v**2 + 6270071 wrt v.\nAnswer: -108*v**3 - 660242*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 + 202655*s**3 - 2053148445*s**2 - 6160863995*s - 4107512890 = 0. Calculate s.\nAnswer: -2, -1, 20267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*i - 155*i + 12 = 0. Let l = 38 + -35. Solve -i = k - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 + -97. Suppose 115*q = c*q + 836. Is q at least -208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5668011?\nAnswer: 3, 629779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 8*y**2 - 6*y + 6. Let u be a(3). Let j be 16\/u - (-26)\/(-39). Solve -3*w + 4 = -j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -223343430?\nAnswer: -223343432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/99 and -8\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63445705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400605 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*u - 908*u + 53*u - 863*u + 79957 = 0 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1378 and 1.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*728\/32*(-60)\/(-35). Sort b, -3, 4.\nAnswer: -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**5 - 10448*p**4 - 6812072*p**3 + 13697360*p**2 + 20498988*p = 0.\nAnswer: -1307, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/15 + 94*s**4\/15 + 514*s**3\/15 + 322*s**2\/15 - 512*s\/15 - 416\/15 = 0. What is s?\nAnswer: -4, -1, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1685196 and 594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/21 and 49\/177096.\nAnswer: 1239672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let f(r) = r. Let q(b) = 7*f(b) - 2*x(b). Let c(p) = 3*p. Give 4*c(j) - 5*q(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -33*w - 79. Let y(g) = 19*g + 6. Let h(s) = 12*s + 4. Let x(a) = 8*h(a) - 5*y(a). Let q(z) = o(z) + 3*x(z). What is the derivative of q(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*3\/(-81)*-3. Let m(z) = -z + 4. Let b be m(5). Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16*v - 911. What is n(57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55895723 + -2.49679.\nAnswer: -1.93783277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*l**4 + 787*l**3 - 1494*l**2 + 45*l.\nAnswer: -l*(l - 5)*(l - 3)*(98*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.43599mg to micrograms.\nAnswer: 19435.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 6\/15 - 104\/10. Let c be (-7)\/(56\/m) + 3\/4. Suppose 0*f + 3*f = 6. Solve -f*k = c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h + 3. Let d(y) = -28*y - 10. Let m(x) = x**3 + 46*x**2 + 171*x + 26. Let u be m(-4). What is u*k(o) + 4*d(o)?\nAnswer: 14*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1709678 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - x - 134. Is 28 a factor of c(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 88.\nAnswer: -5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {l: 8, j: 2, u: 4}?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -17*h**6\/60 - h**5\/60 + h**2. Let q(g) = g**3 + 3*g**2 + g + 2. Let v be q(-3). Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -92555.951 and 0.029.\nAnswer: -92555.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o. Let m(j) = 1287115*j. Give p(m(v)).\nAnswer: -7722690*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k**3 - 14*k**3 + 12*k**3)*(-3 + 3 + 1)*(k**2 + 3*k**2 - 2*k**2).\nAnswer: -28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -27 (b) -0.65 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88409.7 nanograms in milligrams?\nAnswer: 0.0884097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6506\/27 + -240. Find the common denominator of p and 46\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 306, 113, -262, -879?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggmmngmn. What is prob of sequence nngm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222.4188 greater than or equal to 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -684?\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 28*i - 4. Let f(s) = 183*s - 26. Let v(g) = 2*f(g) - 13*p(g). Let z(a) = -18029*a. Calculate z(v(x)).\nAnswer: -36058*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 12*o**2 - 18*o + 16. Let m be c(13). Let w = m + 85. Suppose 4*t - 52 = 3*t - y, 0 = t - 3*y - w. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 - f**5\/12 + f**4\/24 - 5*f**3\/6 + 19*f**2 - f. Calculate y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/2 (c) 37 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3314 by -2025.\nAnswer: -3314\/2025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 10:08 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/56, 1\/3, -55541 in descending order.\nAnswer: 1\/3, 1\/56, -55541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -373*w - 873. What is the remainder when y(-4) is divided by 607?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + (-4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3 + 3)*(m + 9*m + 9 + 6*m)*(-8*m**2 + 8*m**2 - 8*m**3).\nAnswer: -256*m**5 - 144*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 770, -54, 3, -3 in increasing order.\nAnswer: -54, -3, 3, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 17 = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 10*j + 6. Let c be k(10). Suppose c + 4 = 2*i. Let x = 18 + i. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + f = 4*f + 97, 43 = 3*y + 2*f. What is the highest common divisor of 136 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b - 13. Calculate k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*y**5 - 84*y**3 - 31072*y**2.\nAnswer: 840*y**2 - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let -u**5 + 21253*u**4 + 553061*u**3 + 4106535*u**2 + 6638904*u + 3064176 = 0. Calculate u.\nAnswer: -12, -1, 21279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f. Let p(t) be the third derivative of -t**7\/360 - 157*t**4\/24 + 10*t**2. Let u(v) be the second derivative of p(v). Determine d(u(c)).\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*o - 6, -4*x + 2*x - 36 = 4*o. Let c = -6 - o. Differentiate -c*j**3 - 4 + 4 - 1 wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2244 - -0.1756. Let h be 2 - -3*(-22)\/36. Let z = 1\/2 - h. What is the nearest to z in w, -1\/4, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -52. Suppose 0 = -0*i - 4*i + s. Suppose 5*n - 49 = -q + i*q, q + 5*n = -31. Is q equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(288) + -2 - sqrt(2)) + -1 + sqrt(32) + sqrt(2) + (-1*sqrt(12))\/sqrt(6) + -4))**2.\nAnswer: -840*sqrt(2) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8*x - 24 = 0. Suppose -5*j + 2*t + 295 = 0, -5*j + x*j + t + 177 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 2. Let c(d) = d**2 - 11*d + 15. Let i be c(10). Suppose -i*t = -3*x + 37, -4*x + 29 = -5*t - 12. Let g(n) = n - 4. Calculate t*s(k) - 3*g(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (416\/(-1872) - ((-25)\/(-9) - -1)) + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 32*v - 16*v + 24867. Is v a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.11, 1, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 20*p - 13. Determine q(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 11) to base 10\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30124311 - -14?\nAnswer: -30124242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 = 56*o - 4*o. Let a(x) = -13*x**2 - 2*x**2 - o*x**2 + 36*x**2. Let g(v) = -18*v**2. Calculate g(a(j)).\nAnswer: -1800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 (base 12) in base 8?\nAnswer: -1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 5*t + 9342 = 9*l, -t = 3. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-7)\/112*(-2)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5044, 20530, 46460, 82834, 129652, 186914?\n\"Answer: 5222*h**2 - 180*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5298*5.271\nAnswer: -27925.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131.7 * -53913.\nAnswer: -7100342.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -9) + 15 - 3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(8\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12501*o + 12418*o + 12421*o - 49763*o + 12424*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (6 + -2 + 1 - 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, 3, -7 in descending order.\nAnswer: 4, 3, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-20))\/(84\/(-45) - -2). Let y(a) be the third derivative of -1\/12*a**4 + 0 + 0*a**h + 1\/30*a**5 + 0*a + 11*a**2. Factor y(c).\nAnswer: 2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by -5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*t**2 + 2984*t**2 - 339*t**2.\nAnswer: 2373*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-3))\/(1\/(-6)). Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - 9*w - 28. Is 5 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*y = -7 - 5, m = 2*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) + 553\/63. Let u = n + -15. Let p be (-15)\/(-25) + (2 - u\/15). Solve 4*q + 2*f - p = 15, -3*q - 4*f = -26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(56)\/sqrt(8) + sqrt(7)))\/(sqrt(2) - -1*sqrt(12)\/sqrt(6)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28482653481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*r + 8, 6 + 14 = 2*p + 2*r. Let y = p - 3. Let u = 0.6 + -0.5. What is the third biggest value in u, 1, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2030 and -2031 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 - 25*t**3 - 20*t**3 + 68*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77363, -77374, -77399, -77444, -77515?\n\"Answer: -x**3 - x**2 - x - 77360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (-28 - -48) - 2 - 105.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12668 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -25. Suppose -o*t + 8 = 2*t. Let a = -3 + 3. Solve 0 = t*m - a*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 378, 3330, 11348, 26964, 52710, 91118?\n\"Answer: 422*y**3 + y**2 - 5*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3951 - 473. Let k = -219 + r. List the prime factors of k.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*x + 43, 3*h - 2*h - 31 = -2*x. What is the highest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 divided by 4?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137018 is divided by 263?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2 + 40*g - 112. Let k be a(28). Sort -2\/5, 1\/4, k in descending order.\nAnswer: 1\/4, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85554 is divided by 368?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p - 12*p = 147. Solve -p = v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10006215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2440 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0000574l?\nAnswer: 0.0574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/20 and 29\/39518.\nAnswer: 395180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 55*y + 5. What is the units digit of r(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/u**3)\/u*u))**35)**(-1\/51))**(1\/30) assuming u is positive.\nAnswer: u**(-7\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -333, -343, -379, -453, -577, -763?\n\"Answer: -2*y**3 - y**2 + 7*y - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, d: 1, t: 2, k: 1}. Give prob of picking 2 w and 1 k.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45718, -91468, -137246, -183064, -228934, -274868, -320878?\nAnswer: -366976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1465\/322 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((6 - 9) + (2 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -79, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 3. Let o be ((-2)\/16)\/(9\/(-132)*(-2)\/(-12)). Determine n(o).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*l + 38, 3*l + 24 = 9*s - 6*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 592?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101100101001011 + -100010?\nAnswer: 100101101100100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 340473 (base 8) to base 12\nAnswer: 56677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 37 + 5 + -19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-40))\/((-1)\/(-5)). Suppose 5*f = 4*x + 425, -m*f + 7*f - 425 = -2*x. Suppose -2*o + 53 = -5*t, -4*o - 2*t + 5*t = -f. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3295278?\nAnswer: 2, 3, 7, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -1)*5 - (((sqrt(99) - (-3 + -1 + sqrt(99))) + sqrt(99))**2 + sqrt(99))) + -5)*-3.\nAnswer: 345 + 117*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711930 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -32. Solve 6*g = k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200*f**3 - 130 + 148 - 16*f**2 - 16 to k*f**2 + c + j*f + v*f**3 and give v.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 42220*b**2 - 13576*b + 1036. Let i(v) = 3838*v**2 - 1234*v + 94. Let g(p) = -32*i(p) + 3*w(p). Let g(q) = 0. What is q?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.404753 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -31*r**3 + 4*r**2 + 4*r + 2888. Let q(l) = 23*l**3 - 3*l**2 - 3*l - 2889. Calculate 3*b(y) + 4*q(y).\nAnswer: -y**3 - 2892","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29669561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.3 + -4.6. Let k = g - 2.5. What is the smallest value in k, 0.17, 4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + 19\/7. Let x be (-20)\/(-25)*3\/4. What is the third biggest value in n, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 times 0.3\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4 - 13 = -4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 45 = -5*j, -5*y + 5 = -4*j - 4. Let h = j - -28. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j + 4. Let u be b(-1). Suppose 0 = -u*d + l + 4*l, -2*l = 0. Solve 8 = -g - 2*k, -3*g + 2*k - 6*k - 18 = d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 41. Let g(x) = 2*x - 1. Let a be 8\/(-2) + 14 - 5. Let p be g(a). Calculate the greatest common divisor of l and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 - -366. Let y(t) be the first derivative of 1\/2*t + 1\/2*t**2 + 1 + 1\/6*t**q. Factor y(k).\nAnswer: (k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 138*r**3 - 6*r**2 - 2*r + 25. Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/4 - -2) + -10. Let p(f) = -f - 2. Determine p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/30 - j**4\/12 - 16*j**3\/3 + j**2. Let v(c) = c**2 + c + 13. Let g(d) = -5*t(d) - 12*v(d). Factor g(i).\nAnswer: -2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81028 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15*(800\/6)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2351\/16 + -1756261\/11952. Let i = m - 39559\/5976. What is the common denominator of i and 129\/(-8) + 2 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, -259, 13, -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -0.04 (b) -1\/5 (c) 11\/6 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42592 - -42588. Let q(t) = -11*t + 11. Let g(k) = 5*k - 5. Suppose 5*l = 2*f - 7, l = 2*f + 2 + 11. What is f*g(a) + r*q(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27506661 to the power of 1\/2, to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d + 163 = 48*d - 3*o, 5*d = o + 171. Solve d*u = 38*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.84625 centuries to millennia.\nAnswer: 6.184625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 82*p - 1305. Let b be f(16). Let m(u) = -5*u**2 - 7*u. Let q(s) = 6*s**2 + 8*s. Let z(n) = 2*n**2 + 3*n - 3. Let t be z(-3). What is b*m(r) + t*q(r)?\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 50, 52, 7, 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in 3\/4, 0.1, 0.5, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1837 smaller than -1834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -3*sqrt(1900))*-2)**2 + (sqrt(76)*-1 + 5 + sqrt(76) + 2 + sqrt(76) + 5)**2 + -1.\nAnswer: -672*sqrt(19) + 68655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*t**3 - 24469*j*t**2 - j*t - 6173*j - 1090*t**3 + 428*t + 4 wrt t?\nAnswer: -12*j*t - 48938*j - 6540*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.55 + -17. Let u = -0.14 - d. Let q = 0.51 - u. What is the smallest value in 5, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w. Let h(k) = 3*k. Let z(m) = -9*h(m) - 4*i(m). Let f(v) = 3*v - 3*v + 5*v. Calculate z(f(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -22*u + 10. Let s(i) = -9*i + 4. Let o(h) = 5*p(h) - 12*s(h). Suppose -14 = 1581*a - 1574*a. Let n(y) = y**3 + 11*y - 11. Give a*n(c) - 11*o(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -2\/65 (c) 0.02 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 3*d - d + (-d + 5*d - 2*d)*(0 - 2 + 0))*(-1 + 1 + 2)*(29 + 71 - 16).\nAnswer: -336*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7\/7*-42*34\/32844\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.97 - 0.03. Which is the second smallest value? (a) 1\/2 (b) s (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 + 2*h**2 + 9*h + 5. Let y(c) = -3*c**3 + c**2 + 4*c + 2. Determine 4*b(f) - 9*y(f).\nAnswer: 3*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by -223.\nAnswer: 119\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.453 * 220\nAnswer: 99.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -17. Let q = -11 - o. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5677 - -5?\nAnswer: -5672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0*m - m)*(-3 + 7 + 3).\nAnswer: -7*m + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i + i + (4 - 3 + 0)*(i - 1 + 1).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:45 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -21, -3\/4, 537, -2\/7, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:10 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a4613 - 3?\nAnswer: -a4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -740*v**3 + v. Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.201777 times -0.1\nAnswer: -0.0201777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.214056 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 235*s**2 - 3058*s + 75. Determine g(13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + -5 + -3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:02 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.53, -5\/7, 3\/4, -0.3 in increasing order.\nAnswer: -4, -5\/7, -0.53, -0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - 3*g**2 - 13*g - 8. What are the prime factors of m(-5)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 5:51 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13777, 27418, 41059, 54700, 68341?\n\"Answer: 13641*s + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 21*b + 219. Solve d - 1 = -3*x, b*d = -2*x + 1 + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:19 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*y + 2*j, -3*y - 54*j - 1 = -55*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/3)*q**(-3)*q*q*q\/q**(-1\/10)*q**(3\/8))\/((q*q**(-2))**39)**(1\/27) assuming q is positive.\nAnswer: q**(1531\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l**5\/8 + 10191*l**4\/4 - 1278297*l**3\/8 + 4742631*l**2\/2 + 9688410*l + 3201768 = 0. What is l?\nAnswer: -3, -4\/11, 36, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107*a + 16173 = -216 - 26880 - 15727 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z - 7335 - 17361. Is 49 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2*a**6\/9 - 2*a**5\/9 + a**4\/18 + 68. What is d in y(d) = 0?\nAnswer: -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 7*w**2 - 16*w**3 + 4*w**2 - 3 wrt w?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129992*a*k**3 + 256*k**3 + 48*k**2 wrt a?\nAnswer: 129992*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of ((-237)\/6 - 3)*968\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8519e8 (base 15) in base 14?\nAnswer: bac303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 9*p**2 + 3*p - 4. Let w be q(9). Suppose -5*m + 72 = -w. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from qqiqwoooqiiii.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922121 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25830)\/21525)\/((2 - (-174)\/165) + -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 + 33*v**3\/4 - 66*v**2 + 157*v - 120.\nAnswer: (v - 3)*(v - 2)**2*(v + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuz when three letters picked without replacement from uuzzuuu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) + -1 + sqrt(432))*6 + sqrt(432))*2 + -5)**2.\nAnswer: -10608*sqrt(3) + 292321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 31252116?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 7*p**3 + 41 - 97 + 2*p**4 + p**4 - p**4 + 4*p + 55 to the form m + b*p + k*p**3 + q*p**2 + c*p**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5045 - 5039. Solve 2 - l = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40277169.716 + -562.\nAnswer: -40277731.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(162\/(-9))*24\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 851, 842, 829, 812, 791?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = -4*d - 1, 0 = -2*r - 3*d - 7. Let y be 26\/(-68) + r\/(-10). Which is the smallest value? (a) -2\/5 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-2) - (-1232)\/144. Let l = 2 + 3. Let j be -2 + 27\/l + -3. Sort q, j, -2\/7.\nAnswer: q, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from uzhhzuhhh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022351 rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(15\/18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1.8 (c) 88 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*m**2 - 27*m**3 - 2*m + 176*m**2 + 13*m**4 + 23*m**3 - 3 in the form l*m + p*m**2 + o*m**4 + t + b*m**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueyu when four letters picked without replacement from {y: 2, u: 10, e: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bcb (base 13) to base 16.\nAnswer: 2a3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 18 - 18. Suppose z = 4*s + 5*n + 2, -6*s + n = -s + 17. Let k(y) = 2*y**2 + 5*y + 3. Give k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/572 and 83\/1350.\nAnswer: 386100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -22\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/1 + 3051\/54. Solve -40 = 3*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 70*h + 165.\nAnswer: 5*(h - 11)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 1. Let h(r) = -4*r. Let x(j) = -6*h(j) + 5*o(j). Let s(l) = -2*l + 6. Let u be s(6). What is the remainder when 2 is divided by x(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -812, -832, -888, -998, -1180?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*-9*(1800\/32)\/(-25)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6600951 and 74907?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -822 - -822.1. What is the third smallest value in -0.4, x, 2, 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2165 = 2166 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 225, 1408, 4573, 10704, 20785, 35800, 56733, 84568?\n\"Answer: 164*j**3 + 7*j**2 + 14*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017884 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*(t*t*t\/(t**(1\/9)*t))\/t*t*t))**(2\/17) assuming t is positive.\nAnswer: t**(-70\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 228 + 1060. Solve 0 = -97*r + w*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 452. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*p = 115, 18*w - 4*p = 20*w - 12. Put w, -2, 4, 3, -5 in descending order.\nAnswer: w, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -10 - -7 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Sort y, -1, 0.4 in increasing order.\nAnswer: -1, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 3. Let q(g) = -1 + 139*g**2 - 138*g**2 - 1 - 2*g. What is -2*h(k) + 3*q(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4257.975 milligrams?\nAnswer: 4.257975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -13, -1, -36, -2, -30 in descending order.\nAnswer: 4, 2, -1, -2, -13, -30, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 13*g**6\/15 + g**4\/6 + 226*g**2 + 36*g + 7. What is the derivative of z(x) wrt x?\nAnswer: 104*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4 - 4594*b**3 + 1320432*b**2 - 102487040*b + 101171200 = 0.\nAnswer: 1, 160, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 2 - ((-108 - -226) + -102).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63623782393*a + a**2 + 63623782393*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 464\/(-6786) - 2\/13\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 12*i - 245. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:05 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*h - 483*h - 600 = 0. Calculate the highest common factor of 240 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 7386*x - 111251. Give t(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.729 + -2.5627. Let p = -17150.833007 + 17151. Let w = z - p. What is w rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*o + 2*i, -13 = 4*o + 27*i - 38*i. Suppose -4*f - 3*s + 14 = -0*s, 3*f + s - 8 = 0. Let u = f - o. Solve -k = -3, 5*k - u = 2*a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203003 is divided by 25375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/(8898\/(-5116350)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 17. Let p = -39 + 24. Give y(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37691859 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4656 * 60\nAnswer: -279360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968) + -2*sqrt(968) + sqrt(968))\/(sqrt(48)\/(sqrt(12)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(304) + -4)**2*-4.\nAnswer: -1280 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 323\/3*z + 76\/3*z**2 - 116\/3.\nAnswer: -(z - 29)*(z + 4)*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q + 3*s - 77, 5*s + 105 = 5*q. Let z be -2*6\/q*-15. Solve 0 = 2*b + w - z, 3 + 9 = 2*b - 2*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 65. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 408942437 to the power of 1\/2, to the nearest integer?\nAnswer: 20222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 9*j**2 + 9*j - 4. Calculate x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 15*w + 11. Let v(d) = d**2 + 8*d + 6. Suppose 3*x - 20 = 2*n, -x - 3*x = -5*n - 29. Suppose -k - 3 = 8. What is k*v(h) + x*z(h)?\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, s: 1, v: 2}. What is prob of sequence tv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 3109 = 7827. Let k = i + 538. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(19) - (1*sqrt(152))\/sqrt(8).\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 396660*c + 95030224 = 0. Calculate c.\nAnswer: -99404, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-183)\/(-9) - 2)\/(-20 + 14). Let z = 1238 - 7409\/6. Let v = l + z. What is the third smallest value in 12\/5, v, 0.2?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 79. What is the lowest common multiple of q + 4 + -2 + 43 + 3 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-41)\/1 - (-6 - -6). Sort -1, 1, h, 0.\nAnswer: h, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*l**5*o - 8358276*l**2*o**2 - 31022*l*o**2 - 50*l*o + 9*l + 1 wrt l.\nAnswer: -280*l**3*o - 16716552*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8210 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10847 + -5744. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7054671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 98. Let m(c) = -142 + 8*c**2 - 142 + 284 - w*c**2. Let s(x) = 2*x. Let f(j) = 2*j. Let v(r) = 4*f(r) - 3*s(r). Give m(v(z)).\nAnswer: -164*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) -0.097 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 8*l - 11. Let g be w(5). Suppose 4*c = -6*y + y - 3357, -g*c + 5*y = 3347. What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/11, -727, 0, -3\/5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/13))**(6\/19)*(r**(5\/9)*r)\/(r*r**(-33)) assuming r is positive.\nAnswer: r**(75404\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 49 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12 (b) 219 (c) 0.2 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -1. Let b(m) = m**3 - 4*m**2 + 3. Let l be b(h). What is the first derivative of -4 - 2*p**3 + 2 + p**3 + l wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -529 (base 12) to base 9\nAnswer: -1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -472, -473, -474, -475?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -14. Which is the second smallest value? (a) 5 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 22*t - 40. Let l be h(29). Suppose -z - 3*m + 450 = 0, 4*z + 0*m - 3*m - l = 0. What is the greatest common divisor of z and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 + 2 + 25 - 20 - 3*y**2 - 7*y. Is 18 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009243218 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 14\/(-8))\/((-4)\/1). Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 4*x**2 - 2*x - 3. Let j be q(-4). Factor -2*g - j - 1 + 5*g - 2*g**2 + 5*g.\nAnswer: -2*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h - 67848 = -53*h + 85890. Calculate the highest common factor of h and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 22110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 + -11 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:00 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 12, 41, 102, 207?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 4*u**2 - u + 192. Let o(t) = 4*t**2 - t + 1. What is k(i) - o(i)?\nAnswer: -2*i**3 + 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2860598*j*y - 236584158*j + 10*y wrt y?\nAnswer: 2860598*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17524.00000004521 - -17524. Round q to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2\/4 + 75*s\/4 = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -148, -407, -664, -919, -1172, -1423, -1672?\n\"Answer: h**2 - 262*h + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (38\/(-10))\/((-2)\/10). Let q = -12 + h. Solve -5*n - 5*a + 4 = -1, -3*n - 4*a = -q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = z - 12. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(-27*x + 34*x - 19*x).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4205902 + -0.03?\nAnswer: 4.3905902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1263*j = 1274*j - 143. What is the remainder when 258 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 0. Let u(i) = 51 + 9*i - n + 57. Determine u(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -1 + 1 + (-44)\/(-16). Suppose 0 = -3*g + 4*o - 26, -5*g - 27 - 3 = -4*o. Sort 4, z, g.\nAnswer: g, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 2899*t**3 - 3*t + 1971*t**3 + 2 - t**2 - 120*t**3. Let w be l(-2). What is w rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:46 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 77 + 126 + 2*q**2 - 3*q)*(5*q - q - 2*q).\nAnswer: 4*q**3 + 4*q**2 + 98*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 4, f: 4, i: 10}. What is prob of picking 1 f and 3 k?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 254227279 - 254227279.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 5) + -5 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - 51*s**2 + 50*s**2 + 0 - 2. Suppose 4*f + 9 = -f + 3*w, 0 = -2*f - 2*w + 6. Suppose 12 = -h - 3*u - 8, -2*h + 3*u + 5 = f. Determine b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -633*s**4 + 608*s**2?\nAnswer: -15192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 16*r + 51. Let a be j(29). Round a to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -68 - 66) + -10 + 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652262 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, 15, 2, 9, 4 in ascending order.\nAnswer: -13, -4, 2, 4, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2508\/227 + -15740\/1589. Determine b so that 1\/7*b**2 + b - o = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49381 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 371062263.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.9581nm in meters?\nAnswer: 0.0000001519581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iekeiekueieue. What is prob of picking 2 e and 1 u?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.4, -3\/5, 17, -0.2, -1 in ascending order.\nAnswer: -7.4, -1, -3\/5, -0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -86. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30175 and -10\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2149 + 2151. Solve 0 = t*r - 5*q - 21, -4*r = -q - 19 + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 999*q - 1081*q - 322, -3*x - 13 = q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34.36524 milligrams?\nAnswer: 0.00003436524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 9. Let z be j(-6). Suppose 232 = -h + z*h. Put -2, -1, h in decreasing order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.1, -4, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1493440.9+-0.495\nAnswer: -1493441.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*r**3 - 28*r**3 + 5 - 6*r + 69*r**3 + 33*r**3 wrt r.\nAnswer: 1062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711537536 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -43*s + 22. Let i be z(11). Let m = -161 - i. Find the second derivative of 290 - m - 11*r + 12*r**3 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110310 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 20*g + 25. What is the remainder when 1095 is divided by k(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 - 2*k - 28. Let b be w(4). Let m(d) = -23 - 10*d + 11 - d + b. Let c(r) = 16*r. Give c(m(f)).\nAnswer: -176*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j. Let o = 2 + -1. Suppose 0 = -q - o - 1. Determine k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108490 divided by -2?\nAnswer: 54245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, 1, -2\/13, -4\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzrrsaas. What is prob of picking 2 r, 1 a, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/9 + 2332*u**3\/3 - 675098*u**2 - 8185320*u - 24640200 = 0.\nAnswer: -6, 1755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-8 - (2 - 25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:14 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 48 = -j. Suppose 11*q = j*q. Find m, given that -2\/5*m**3 - 8\/5*m**5 + q*m + 0 + 0*m**2 + 2*m**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194322 divided by -6?\nAnswer: -32387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*o**2 + 44803 + 338*o**2 - 2548.\nAnswer: -2*o**2 + 42255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54067826903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6148447 to the power of 1\/2, to the nearest integer?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1297 - 1295. Solve 2*b = -5*u - 5, -2*b = f*u - 0*b - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618934?\nAnswer: 2, 3, 37, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40840 rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1566 + -1465. Let j = 965331 + -5773847\/6. Let t = j + x. What is the common denominator of -19\/12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13115, 46679, 100689, 175145, 270047, 385395, 521189?\nAnswer: 677429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w. Let r(f) be the third derivative of -f**4\/6 + 17*f**2. Calculate b(r(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - u - 105. Let x = -240 - -274. Let r = u + x. What is the lowest common multiple of 4 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6700 and 1\/23294.\nAnswer: 78034900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175261 divided by -273?\nAnswer: -18957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from nnynrynnnnnnj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52354*s**2\/9 - 69806*s\/3 - 8\/9.\nAnswer: -2*(s + 4)*(26177*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78287715 divided by -11.\nAnswer: -7117065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -248*x**2 + 28 + 257*x**2 + 51 wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -6*z + 2*c - 37899, 3*c = -z + 7585. List the prime factors of z.\nAnswer: 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + d**2 - d + 1. Let j = 5 + 3. Let c(l) = -5*l**3 - 1 + 11 - j - 4*l + 4*l**2. Calculate -c(r) + 4*p(r).\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/57))**(-15) assuming i is positive.\nAnswer: i**(-10\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*l + 67 = -0*l, 4*m + 146 - 90 = 3*l for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w + 8. Let f be 376\/56 + w\/(-28). Calculate the greatest common factor of f and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*j - 17, -9*u - 1688 = 3*j - 1622 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = -5*i, 0 = -i - 0*k - 2*k - 3. Suppose i*u = -359 + 1654. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 15. Suppose 3*j - j - s = 0. Suppose 27 = j*h + 3*c, -22 = -3*h + c - 3*c. Solve -h*t + 2*g - 8 = 0, -g + 13 + 0 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/3256 and -105\/120472?\nAnswer: 120472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2946.2 and -780436.14.\nAnswer: -777489.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 + 11*h**2 + 60*h + 20. Let x(p) = 3*p**3 - 13*p**2 - 59*p - 20. Let m(w) = -4*o(w) - 5*x(w). Let f be m(-18). Which is bigger: 39 or f?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 24. What is the smallest value in -0.4, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 31. Let d be h(-16). Let w be ((-24)\/d - 2)*10. Let s be (-3)\/(-2)*w\/(-18). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 271891 and 113393.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 11}. Give prob of sequence mmm.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50939 is divided by 428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700 (base 8) to base 5.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 - 5*j**2 - 4*j + 1. Let t be m(-2). Let q = t + -36. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 9) in base 8?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6880 * 0.4\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40644002 is divided by 3694906?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -256 - -51540?\nAnswer: 51251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 + -3 - 23. Let l be 1308\/o*(2\/1 + 0). Let q = l + 329\/3. Which is the second biggest value? (a) q (b) -1 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -199*r + 1068. Determine m(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u - 6*u - 6*u - u. Let d(c) = -5*c. What is d(m(t))?\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 2\/7 (c) -3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 15) in base 2?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 208667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -12.6, 2\/33, -5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**3\/c)\/(c*(c\/(c\/(c\/(c\/(c**(-5)*c)))))\/c))**42)**(-18) assuming c is positive.\nAnswer: c**(-6048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 - 8*j**2 + 4*j**2 + j - 3*j + 4*j**4 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5 - 7*c + 0 + 4. Suppose 4*s + 2*u - 28 = 0, -4*s - 4*u = -14 - 18. Suppose -2*w = v, 3*v - 4*w + 4 + s = 0. Calculate x(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.871 + -11.90864. Round b to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.148 + -0.548. What is the smallest value in 4, l, 1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -3, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13361, 53517, 120467, 214211, 334749?\n\"Answer: 13397*w**2 - 35*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/15)\/(6\/9). Let j(g) = -g**3 + 6*g**2 - 4*g + 2. Let h be j(5). Let i be 7\/3 - 2\/6. Solve h = -i*t + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387289500.\nAnswer: 2, 3, 5, 13, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31878\/2024*(-4)\/14*(-8)\/78?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11722 + 24827. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 1 - 20*4536\/(-1440)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5*z + 2*o + 16, -2*z - 3*o = 4. Solve 0 = z*t + 5*l + 20, 0 = -t - 3*t + 5*l - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-6))*p*p\/(p\/((p\/p**(2\/15))\/p)*p))\/(p**(4\/7)*p**0))\/((p**(-1\/4)*p)**19\/((p\/(p\/(p\/p**5)))\/(p\/p**0*p))) assuming p is positive.\nAnswer: p**(-6281\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 16*m - 5*q - 7, -3*m = -5*q - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(648\/(-327330))\/(-18). Is c less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503 - 89*y**2 + 2*y**3 + 249 + 252)*(15*y - 16*y + 7*y).\nAnswer: 12*y**4 - 534*y**3 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - b**3 + b**3 + (-5*b + 5*b + 3*b**2)*(3*b**3 - b**2 + b**2) + 0*b**5 + 2*b**5 - 3*b**5.\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**3 - f**3 + 0*f**3)*(-1 + 8 + 4 - 1 + 2 + 0 + (0 + 4 - 5)*(4 - 4 - 2)) as v + r*f**3 + d*f + w*f**2 and give r.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) + 3)**2)*-4.\nAnswer: -548 - 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Suppose 10 = -5*j - 3*o, 2*j - 3*o = -0*o + 17. Let g be (1 - 3)\/6 - (-22)\/(-6). Sort u, j, g in descending order.\nAnswer: u, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/3, -3, 19, 0.027?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from ltttlttttttt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 2051 = -11*u + x, -2*u + 816 = 4*x. What are the prime factors of u?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/4)*a)\/(a**6\/a))\/((a*(a**(8\/3)\/a)\/a)\/a**(-19)) assuming a is positive.\nAnswer: a**(-287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**3\/2 + 9*f. Suppose 5*w + 2*c = 2, -w - 4*c - 11 - 3 = 0. Let v(z) = -20 + 8 + w*z + 12. Give v(s(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 1. Let l be d(-3). Let f be (-1 - l\/(-2))\/(-1). What is the first derivative of t**4 + 1 - 4*t**4 + f wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - 17) + (-3 + -41 - -37)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*j - 24 = 4*t, -4*t = -2*j + 56. Let d be 4*7*(-3)\/t. Suppose -80 = -d*r + 2*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 81*x**2 + 252*x + 36. Calculate the smallest common multiple of p(84) and 138.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-43 - -14 - -9)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/(-42) - 101280\/26586\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((32\/(-6))\/((-26)\/(-39)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2042*a - 263708. Give k(-129).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 3*m + 0*m - 2*m - 7*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*p = 22, g + p + 0*p - 6 = 0. Let h be 165\/20 - g\/8. Let w = h + -2. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2147 times -2\nAnswer: 4294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-696)\/16)\/(9\/(-6)). Let r = 13 - 15. Which is the closest to w? (a) -0.2 (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43996 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*a = -177, -2*f - 2*a + 62 = -f. Suppose 5*d - 5*g = f, 3*g + 2*g - 48 = -4*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 30*v**2 + 2*v + 4. Let p(g) = -149*g**2 - 11*g - 21. Give -2*p(f) - 11*y(f).\nAnswer: -32*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -874*l**2 + 342*l**2 + 4 + 2*l + 533*l**2. Let r(z) = z**2 + 3*z + 5. Determine 3*c(y) - 2*r(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*((3 + 0 - 4)*(-1 - 8*t + 1) + (t + t + 0*t)*(-1 - 1 + 3)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -31*i + 32*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1350\/11, -1\/16 in descending order.\nAnswer: 0.4, -1\/16, -1350\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Is -2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1616 = 13*o - 178. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20818\/3 - 0 - 14\/(-21). Let v = l - 14170. Let q = v + 13303. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 - 5*a**2 - 2. Let p(h) = h**3 - h**2 - h. Let o(y) = 2*p(y) - x(y). Give o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150426554?\nAnswer: 2, 89, 691, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9452621 + 1?\nAnswer: 9452622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ioooaxooxaaaooakkakk.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 1630\nAnswer: 8\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pluninlc. Give prob of picking 1 c, 1 u, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6330.35 and 0.9.\nAnswer: 5697.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173964903.\nAnswer: 3, 7, 881, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 159974459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(33 - -1). Let m = h + -16. Which is the closest to -1? (a) -5 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1344 - 1340. Sort m, -3, -0.3, 2\/17, -4\/13.\nAnswer: -3, -4\/13, -0.3, 2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 10. Let u be (-2)\/(-4)*140\/1. Suppose 4*b = -b + u. Solve z - b = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366581643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 112 and 0.2242642?\nAnswer: 111.7757358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:48 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29591, -29508, -29293, -28880, -28203, -27196, -25793?\n\"Answer: 11*u**3 + 6*u - 29608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 841\/18 + -29\/9. Calculate the common denominator of -49\/10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 5. Let r be f(8). Let c = r + 29. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 - 4*c**4 - 8750*c**2.\nAnswer: 120*c**2 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 5*q**2 + 4*q + 11. What is the remainder when (-1265)\/(-46) + (2\/4 - 1) is divided by f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 182373 from -1004.\nAnswer: -183377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4447, 8890, 13333?\nAnswer: 17776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - 5. Suppose -6*t = -5*t - 2*n + 68, 219 = -u*t + n. Let k = t + 114. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 4*n**3 - 5*n**2 - 2*n = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 5*i + 7. Let a be (-3)\/5 - (-22)\/(-5). What are the prime factors of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/5)*r**1)**(-28) assuming r is positive.\nAnswer: r**(-392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1160922 by -8862.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.2 + -4.2. What is the biggest value in -0.1, 1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81025611.\nAnswer: 3, 27008537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10044 - 2310?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 120*m\/7 + 268\/7.\nAnswer: -(m - 2)*(7*m + 134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6580707 kilograms in micrograms?\nAnswer: 658070700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044536?\nAnswer: 2, 3, 13, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(-12*o - 9*o + 5*o)*(-1 - 3 + 5) + (7 + 0 + 1)*(0*o**2 + o**2 - 4*o**2).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 92 = 3*l - 5, 3*l + 43 = 2*o. Let c be 1\/5 - 4\/o. Suppose -3*i + i + 32 = c. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316.5512 times 13?\nAnswer: -4115.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24238 = 5*w + 3*p, -36*p + 37*p = 4*w - 19370. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*d + 3)*(-72 + 3*d - 4*d + 2*d**2 + 64) - 4*d**3 + 4*d**3 + 2*d**3.\nAnswer: 6*d**3 - 2*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 28*g**2 + 27*g + 2. Let n be z(-27). Suppose 0 = -4*x + 10 + n, -5*d + 2*x = -954. What is the lowest common multiple of 9 and d?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmddmd. What is prob of picking 2 d and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/160)\/(117\/(-15)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3 - 2)*(2*w**2 - w**2 - 3*w**2) + 0 + 0 - 2*w**2)*(6*w**2 + 2506 - 5*w**2 - 1977) to the form y*w + r*w**2 + t*w**3 + h + k*w**4 and give r.\nAnswer: -2116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 60*l + 664. Calculate q(70).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6116287\/88 + 69504. Find the common denominator of l and -123\/220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110033100111 (base 4) to base 7.\nAnswer: -63044352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217793.3 + -228375. What is w rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 + 12) - (0 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414688?\nAnswer: 2, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -64*i + 74. Let r(x) = -6*x - 3. Let h(k) = 14*k + 7. Let a(l) = 2*h(l) + 5*r(l). Let f(w) = -8*a(w) - t(w). Differentiate f(z) wrt z.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 729\/8*f**2 + 1\/3*f**4 + 0 - 36*f - 9*f**3. Find i, given that v(i) = 0.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3315 + 3317. Solve -5*o + 27 = -q*n - 2, -5*n - 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6393 - -16337.6393. Let n = 16335.09996 - b. Let y = n - -0.9. Round y to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400709?\nAnswer: 61, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (17 + -6 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -21*m + 30. Let f(p) = p - 2. Let t(r) = 15*f(r) + u(r). Let j(i) = 3*i**2 - 2. Calculate j(t(l)).\nAnswer: 108*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 2. Let x be t(0). Let f be x\/(-4) + (-11)\/(-2). Let n(v) = 2*v + 1. What are the prime factors of n(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by -14?\nAnswer: 125\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4*31\/(992\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 69*w - 52*w + 349 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92533 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*f + 3*h + 511, -h = 2*f - 197. Let x = 106 - f. Suppose -1514 = -x*r + 1160. Round r to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2672146*v**3 - 1892*v**2 + 226540*v - 662700 - 1336070*v**3 - 1336072*v**3 = 0.\nAnswer: 3, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 801 and 2848?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/30 - -2)\/((-466)\/6990)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f - 2*f)*(-20 + 106 + 221)*(-5*f - 6*f + 0*f).\nAnswer: -3377*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 422 and 20114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -12. Let y be 0\/4 - 0\/1. Let q = -4 + 6. Solve y = t*k + q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - -10)\/(-1 + 3). Suppose o = -z - z + 110. Suppose -5*g + 55 = 5*l, -z = -5*l + 3*g + 2*g. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 g, and 1 d when four letters picked without replacement from {d: 4, z: 1, y: 2, g: 1, v: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -13\/37, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -5\/2*h**2 + 0*h**3 + 4 + 3\/5*h**5 + 0*h + 0*h**4. Find the second derivative of r(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + w - 4 = 0, 4*w - 4 = 5*g - 30. Suppose 6*s + s**2 - s + g - 2*s = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 2*d**3 + d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.818277l?\nAnswer: 2818.277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101021122011 - 112001?\nAnswer: 1101021010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c + 11. Solve -c = -3*q + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/691 - -5039\/120925. Let k = -1439\/36575 - z. Calculate the common denominator of 71\/2 and k.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 101\/35 + (-172)\/20 + 10 + -2. Determine a so that 2\/7*a**2 - u + 2*a = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.82 - 4.09. Let q = b + 1.76. Round q to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 20 = 5*s, 4*s = 13 - 5 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 870563 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: Which is the closest to -1? (a) 4\/7 (b) -11.237 (c) 1.1 (d) -5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(2*c**4 - c**4 + 2*c**4) - c**4 - c**4 + 3*c**4 + (-2*c - 2*c**2 + 2*c)*(2*c**2 + 1 - 1) - 2 + 2 - 3*c**4.\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*a = 2*q + 30, 0 = -4*q - 5*a + 41. Suppose -q*s + 72 = -18*s. Let p = s - -23. Solve -p*r + 9 = -11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16401 - -74243?\nAnswer: 55642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 16) to base 2.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w + 285 = 0. Let o = w + 82. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 319 = 1233. Let d be 6*y\/16 + -3. Let -10 + 70*n**4 + d*n**2 + 10*n - 425\/2*n**3 = 0. Calculate n.\nAnswer: -1\/4, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {k: 1, s: 1, a: 4, o: 1, e: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*v**3 - 4012*v**3 - 30*v**2 - 27571*v**3 - 1.\nAnswer: -30747*v**3 - 30*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -407654.357 rounded to the nearest 100?\nAnswer: -407700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, -7205, -23491, -54757, -105887, -181765, -287275?\nAnswer: -427301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 6 = 5*p. Let z = p - -10. Let j = z + 31. Calculate the least common multiple of 2 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 506850*p**3 - 22*p**2 + 50*p + 39.\nAnswer: 3041100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040343 (base 5) to base 10.\nAnswer: -18223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 96*k = -98*k + 1, 4 = -w - k for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 1, c: 2, n: 2, s: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 88*s**2 - 573*s + 1287. Calculate a(81).\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5356\/156)\/(2\/(-60000)). What is q rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-4 - 2)\/1. Let q(z) = 27*z**2 + 5*z + 8. Let d be q(l). Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/145, 0.06, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**2 + 2*p - 8*p**2 + 5*p**2 + 7*p**4 - p**3 + 4 - 3*p**4 - 3*p**4 to the form z*p + d*p**2 + v*p**3 + k + y*p**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3186*z = -4992 - 14124 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-176)\/40)\/(165\/(-600)). Solve 113*a + 323 = -j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 7*f**2 + 9*f + 12. Let c be q(-6). Let m(r) = -3*r**3 - 12*r**2 + 2*r - 11. Let i be m(c). Let u = i + -46. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 7. Let t(g) = -g**3 + 6*g**2 + 6*g + 2. Let o be t(6). Suppose 3*k = q*k - o. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 63. Let x be l(11). What is the greatest common factor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*o + 10049, -u - 3*o - 2*o + 2506 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011310132 (base 4) to base 15.\nAnswer: -59b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y**2 + 2*y + 5. Let g(f) = -13*f**2 + 5*f + 10. Let r(l) = 6*g(l) - 11*s(l). Let v be r(8). Let k(j) = -3*j + 4*j - 48 + 37. Determine k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -25580 = -25579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q - 5*q + 0*q + 7. Let h(k) be the second derivative of 7*k**3\/3 + 10*k**2 - 35*k. Calculate -6*h(f) + 17*p(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -521, -739, -957, -1175?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32695 (base 10) to base 13.\nAnswer: -11b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1951564 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 0. Suppose m*f - f = -5. Let x be (-6)\/f*(-5)\/2. Solve q + 4*d = x*d - 2, -7 = 5*q + 4*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375250 divided by 95?\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 117*-68\nAnswer: -7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let p(y) = y**3 + 8*y**2 + 5*y - 7. Let n be p(-7). Let d(q) = 45 - n*q**2 - 45. What is d(u(m))?\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*o**5 + 1 + (-5*o - 2*o - o)*(16202*o**2 - 79*o**4 - 16202*o**2).\nAnswer: 630*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 561215 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 3*x**3 - 5*x**3)*(-x + 3 - 3)*(-4 + 5 + 2)*(-1 + 1 - 2).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29828, 59614, 89400, 119186?\n\"Answer: 29786*g + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1818.6.\nAnswer: 363.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**3 + u**2 + u + 1. Suppose 5*h - 148 = -133. Suppose 2*m = 5*j + 11, m = 6 - h. Give v(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 64090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1044 and 870?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + 57. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2494750 and 5787820.\nAnswer: 144695500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 41. What is the smallest common multiple of 159\/21 + 3\/7 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5490314006598 + -0.6.\nAnswer: -1.1490314006598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.24942 + -14.3. Let k = -0.15 + 0.2. Let s = k + c. Round s to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1033.3 - 1002. Let f = -0.01739 + 29.90739. Let r = g - f. What is r rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 7*k + 2. Let z be r(9). Let y = z - -50. Suppose 4*v - j - 73 = -v, 2*j - y = -2*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001389 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 16. Suppose -6 = -10*t + z*t. Let k = -2 - -2.1. Sort -3\/2, t, k in decreasing order.\nAnswer: t, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -26*d**2 - 954*d - 637. Determine k(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 25*m - 95. Let b be l(20). What is the nearest to -0.02 in -0.3, 1, -5\/2, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/11 and 2 + (-252)\/20 + -2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -47, -3, -13, 2, 3, -6353?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 > 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 887 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2 + 1\/15*d**5 - 6 + 0*d**4 + 0*d + 0*d**3. Let k(v) be the second derivative of a(v). Let o(f) = -f. What is o(k(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-39)\/2*(-2088)\/783\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11782 at most as big as -12836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 33. What is the hundreds digit of w + 490 + 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2, 1\/7, -1, -12665.\nAnswer: -12665, -1, 1\/7, 6\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 251538 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839.713 centuries in decades?\nAnswer: 68397.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p**2 - 9*p + 398. Determine u(0).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -1.\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -2*t - 3*h, 3*t - 2*h = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108145 and 1075.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(x + 4 - 4) + 0*x - 2*x + 0*x - 4*x + 3*x - x + (1 + 0 + 0)*(-3 + 3 - 2*x) - 5*x - 5*x + x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083 * 0.3.\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -1758, -4002, -7146, -11190?\nAnswer: -16134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 7*g + 9. Let x be z(7). Let q = x - 5. Let a(d) = 2*d - 55 - 5*d**2 + 4*d**2 + 59. Calculate a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3081219761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v - 3. Determine t(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.309, 3, -2\/7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 1\/2 (c) 4 (d) 182.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 5:41 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453 (base 14) to base 10.\nAnswer: -857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 11*f - 10. Suppose 0 = 3*k + 6 + 12. Let a(q) = -q**2 - 8*q - 5. Let g be a(k). What is the units digit of u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3.5. What is the second biggest value in 4\/7, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595, -1693, -2795, -3901?\nAnswer: -5011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*n + 3*m - 294, n + 5*m = 51. Is n greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -44. What is the remainder when 12 is divided by (-1 - 3\/(-4))*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - (-99 + 70) - ((-2 - -8) + -3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) + 7\/(-105). Let c(x) = x**2 - 2*x - 3. Let b be c(3). Sort 5, b, i.\nAnswer: b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(-330) + (-31)\/(-11). Sort 96, j, -1 in decreasing order.\nAnswer: 96, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.2. Let y = -8 + 8.7. Let a = 0.3 + y. What is the third biggest value in s, a, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 4714 - 4714 + 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1350, 2692, 4032, 5370, 6706, 8040?\nAnswer: 9372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7195 = 2012. What are the prime factors of r?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 - 195672*f + 1369508 = 0. What is f?\nAnswer: 7, 48911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17. Suppose -b - v*q - 7 = -22, 5*b + 4*q = 107. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 13*o**2 + 14*o + 8. Calculate g(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300225, -600330, -900427, -1200510, -1500573?\nAnswer: -1800610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(891) - (sqrt(891) + 4 + -4) - sqrt(891))**2 + 5) + 0.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242 - 212 - 4*o + 5*o + 4*o + o to the form s + l*o and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 347225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 252171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11010, 21206, 31404, 41604, 51806, 62010?\nAnswer: 72216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*k**3 + 61*k**2 - 61*k**2)*(-2 - 1 + 2) + k**3 + 2*k**3 - 4*k**3 as q*k + l*k**2 + f*k**3 + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21212895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5340 and 400?\nAnswer: 106800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:43 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 24 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:09 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 26 + 314. Suppose 4*u + 3*k = 61, 15 = 4*u + 5*k - 36. Calculate the remainder when m is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 371, 374?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/40)\/(3\/(-2)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7 = -2*j, 0 = 10*j - 8*j + 4*x + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13106116 (base 7) in base 2?\nAnswer: 100100011110110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z**2. Let i(c) be the second derivative of c**3\/2 - 21*c**2 + 5762*c. What is v(i(j))?\nAnswer: 81*j**2 - 2268*j + 15876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 113*n + 357. What is z(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4503 - 121652\/27. Calculate the common denominator of -53\/3 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614 divided by -1?\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stt when three letters picked without replacement from zmisttmgz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:50 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 1094, 1 in descending order.\nAnswer: 1094, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:58 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*u + 20, -4*b - u = -3*u - 16. Let s = -33 - -43. Suppose -s*f - 17*f = -81. Solve 4*g - b = f*m + 11, -3 = 3*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7)*-2*-6 + -2*sqrt(448) + sqrt(448) + 5*sqrt(847)*-3 + 4)**2.\nAnswer: -644*sqrt(7) + 181451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2071 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 12*y - 10*y - 3*n, 27 = -y - 3*n. Let q(u) = -u**2 - 28*u - 20. Give q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(-58) + (23142\/(-76))\/203)*4\/(-22)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1900, 3801, 5702, 7603, 9504, 11405?\n\"Answer: 1901*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1282 + -1141. Let i = 90 + -43. Let c = k - i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434995867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90698.2 - -101197. Round b to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-800))\/(-1 - 5\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 10*g**2 - 13*g - 14. Determine p(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-8*j - 3*j - 5*j) + (2*j - 2*j - j)*(0 - 3 + 4).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78736\/952)\/37*-17.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(-7 - 3*z + 7).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -107 - (66 - (-74 - -195))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4560*m**3 - 1305*m wrt m?\nAnswer: -27360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/6 + 3*t**4\/2 + 25*t**3\/6 + 9*t**2\/2 + 5*t\/3.\nAnswer: t*(t + 1)**2*(t + 2)*(t + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(2\/11)*a)\/a)**15)**(-1\/2) assuming a is positive.\nAnswer: a**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 276943817281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1873931698 - 16.42.\nAnswer: 1873931681.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 9*b - 6. Let s be d(-6). Let t = 522 - 517. Suppose -8*g + s = -t*g. Solve 2*m + 19 = f + g*f, 2*m + 2*f - 16 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 56*z - 1. Let t(w) = w**2 - 1476*w - 27. Give r(t(y)).\nAnswer: 56*y**2 - 82656*y - 1513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125823?\nAnswer: 3, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(84) - ((sqrt(84)*-1 - sqrt(84)) + sqrt(84))) + sqrt(84))\/(sqrt(60)\/(sqrt(5)*-1)))**2 + -5.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + p**4 + (-35465*p + 35465*p + 335*p**2)*(p**2 - p + p) - 4*p**4 + p**4 + 2*p**4.\nAnswer: 335*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-49))\/1*-2*3\/(-36)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7479143, 14958285, 22437427, 29916569?\nAnswer: 37395711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 502*p - 13351. Determine b(27).\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -1.8 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5049121l to millilitres.\nAnswer: 504.9121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3976, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 - 113*c**2 - 4*c + 113*c**2 - 4*c**3 to w*c**3 + g*c**2 + q + u*c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-19200)*20*(-490)\/2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 1, m: 1, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 13 + 9*u - 15.\nAnswer: 5*u - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + t + 48 = 0. Let n be (-4)\/t*(-22 + 16). Which is the second smallest value? (a) -4 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m - 3)*((3 - 2*m**4 - 3)*(2 - 4 + 5) + 2*m**4 + 3*m**4 - 3*m**4).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 27*o**2 - 23*o + 131. Let s be u(-28). Let t(m) be the third derivative of m**5\/60 + 11*m**4\/24 + 5*m**3\/6 + 8*m**2. Calculate t(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-4) - (-2494)\/215)*2\/(-36).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 101730*a + 10. Let t be b(3). What is t rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 d when three letters picked without replacement from jnfdt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118380?\nAnswer: 2, 3, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 16*t**2 - 72*t - 35. What is a(-20)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20308843 from 0.5.\nAnswer: -20308842.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 28156*l - 1069388. What is b(38)?\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*d - 3\/7*d**2 + 6\/7.\nAnswer: -3*(d - 2)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/52253 - -3186809\/10868624. Find the common denominator of 61\/4 and l.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.94 + 0.06. Let i = 12.7 - 13. Let n = 0.1 - 0.3. Put n, b, i in ascending order.\nAnswer: i, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1511 + 12493 = 9*j. Is (-42)\/(-63) + j\/6 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 0 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -20. Let c be 14\/z - (-6)\/8. What is the nearest to 1 in 4, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04893 rounded to three decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = 5*k - 87 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101122 (base 3) to base 12.\nAnswer: -708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10883)\/21766)\/(262\/(-8))?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 4*v - 4*v + (-2*v**2 - 2*v**2 + 0*v**2)*(-126*v + 9*v + 26*v).\nAnswer: 366*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 - 62*n**3 - 110*n**2 + 174*n = 0. Calculate n.\nAnswer: -29, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 8:37 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 3 + 16 = 0. Sort -1, j, -9 in decreasing order.\nAnswer: j, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1798 - -3020?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 17 = 17. Calculate the remainder when 84 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 5 + -1*(sqrt(234)\/sqrt(6))\/sqrt(3))**2.\nAnswer: -14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + 9. Let b = 121 + y. List the prime factors of b.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 0 + 2\/3*r + 1\/3*r**2 + 1\/3*r**5 - 1\/3*r**4.\nAnswer: r*(r - 2)*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 31. Let p(v) = v**2 + 12*v + 9 + 5 - 22*v + 2. Let b be p(l). Solve -4 = -b*f + 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1860, -7432, -16718, -29718, -46432?\n\"Answer: -1857*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from {f: 2, m: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 6*y**2 + 7*y - 9. Let k be i(-4). Let v(j) be the second derivative of -j**3\/2 - j**2\/2 - 6*j. Let u(w) = -2*w - 1. Calculate k*u(r) + 3*v(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:52 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -5506626.6 and -0.149.\nAnswer: -5506626.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 12920180?\nAnswer: 12920180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, i: 1, j: 2, z: 1, y: 1}. Give prob of picking 2 j and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485676829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11428773 is divided by 98?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229390?\nAnswer: 2, 5, 7, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3972.3 + -0.093953\nAnswer: -3972.393953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10418 is divided by 2532?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 1, p: 6, e: 5}. What is prob of sequence cpf?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2302 - -2301. Put s, -5, -2, 0 in descending order.\nAnswer: 0, s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 518*i - 11887. Give f(-30).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-120)\/(-18)*(6 + -3)\/(-36))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1700) + (-2*sqrt(1700) - sqrt(1700)))**2 - sqrt(1700)) + 0.\nAnswer: -10*sqrt(17) + 6805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)*m*m**(7\/4))\/((m*m**(-14\/3)*m)\/(m\/m**(-7))) assuming m is positive.\nAnswer: m**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 5. Let y(j) = j**3 + 29*j**2 + 25*j - 79. Let u be y(-28). Calculate a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172723196.\nAnswer: 2, 17, 31, 81937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (114\/12 + -9)*3832. Is 1915 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9578*23\nAnswer: 220294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/9, 1, 1\/7, -2, 13 in increasing order.\nAnswer: -2, -16\/9, 1\/7, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7134577 - 7?\nAnswer: 7134570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -21\/2014577 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -569.1459991 to the nearest integer.\nAnswer: -569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 n when four letters picked without replacement from {z: 1, s: 1, n: 11}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 681.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*k**3 - 1868*k**2 + 248*k.\nAnswer: 4*k*(k - 31)*(15*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -14151, -5, 29.\nAnswer: -14151, -5, -1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8379 = -36*a + 55*a. Let k = a - -446. Suppose 16 = 4*o - 4*z, -o + 3*z = -5*o + 2. Solve -2*h + o*j - k = 7, -5*h - j = 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.037 (c) 0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -89095*w + 5736. Is z(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/15 + 19*k**4\/6 - 733*k**3\/3 + 205*k**2 + 5*k. Differentiate l(d) with respect to d.\nAnswer: -8*d + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-224935)\/(-12))\/((-12)\/(192\/44)). Let m = 6815 + s. Find the common denominator of 19\/201 and m.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-4)\/(-6) - (283 + -249)*4\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2696*s**3 + 6 + 15 - 39 + 19 in the form i*s**3 + a + x*s + z*s**2 and give i.\nAnswer: -2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3080, -2872, -2676, -2498, -2344, -2220, -2132, -2086?\n\"Answer: -n**3 + 215*n - 3294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/20 + 131*q**4\/8 + 129*q**3 - 68*q**2 - 6*q. Factor j(m).\nAnswer: 3*(m + 2)*(m + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/5 - 24\/40. Let r(t) = -17 - 3*t**v - 14*t**2 + 6*t**3 - 18*t + t. Let d(q) = q**3 - 3*q**2 - 3*q - 3. Calculate 34*d(c) - 6*r(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1200454?\nAnswer: 1200455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -651, -2638, -5945, -10572, -16519, -23786?\n\"Answer: -660*y**2 - 7*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -i + 3*c, 2*i - 5 = -c - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25031 - -741?\nAnswer: 25772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 50. What is the common denominator of x and 2\/(-6) + 199\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiitiiiiiiii. Give prob of sequence tti.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 - q + 7. Let p = 6 + -6. Let m be l(p). Solve -2*a - m = 3*t, 5*a = 3*t + t - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1684 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h + 34 + 3*h - h**2 - 32 + h as d*h + t + a*h**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3105*u - 518. Let w(h) = -5*h**2. Calculate l(w(x)).\nAnswer: 15525*x**2 - 518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16679, -33385, -50159, -67037, -84055?\n\"Answer: -6*n**3 + 2*n**2 - 16670*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 16*g - 18. What is p(8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*y + 2*y, y + 25 = -5*a. Let b = 17 + a. Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15484, 15502, 15522, 15544?\nAnswer: 15568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27185131 to the power of 1\/2, to the nearest integer?\nAnswer: 5214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c - 8*c + c + 1 - 1 - c + (-5 + 2 + 2)*(c - 2*c + 3*c) + 12 - 3*c - 12 + c - c - 2*c + 3*c - 4*c + 3*c in the form v*c + t and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t + 4. Let d(w) be the first derivative of -3*w**2 + 5*w - 9. Let r(c) = 4*d(c) - 5*u(c). Let h(n) = 13*n + 17 + 4*n - 17. Calculate h(r(f)).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, l: 2}. What is prob of sequence gllg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*g - 2*g. Solve g*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 150.7.\nAnswer: 2260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843678 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 156, 104, 28, -78?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2885 - 2885.0000006053. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 3*g. Solve 5*v - 2*v - 3 = g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2639 - 0.0561. What is the smallest value in b, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*q + 1 = 3, -2*c = 2*q. Let j(b) be the first derivative of 1\/3*b**3 + b + 19 + 1\/2*b**2. Let z(g) = -4*g**2 - 5*g - 2. Give c*z(y) + 5*j(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from zjxjhjhjhzzjjxzjjzz.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-14)\/42 - (3 + -48) - 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2537.01 days?\nAnswer: 362.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12 + ((-3655)\/6)\/5. Let v = u + 6619\/54. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630f (base 16) to base 14.\nAnswer: 9355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**2 + 11060*r + 11075.\nAnswer: -5*(r + 1)*(3*r - 2215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - a**2 + 2*a - 2. What is m(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 187*d - 1498. Determine c(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580 = -44*i - 404 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + 489\/(-27)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:04 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/((-35)\/(-25)). Let d = 13 - 12.9. What is the nearest to q in 4, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(336)*-3*-6)\/(sqrt(30)\/(sqrt(10) + sqrt(10) + 4*sqrt(10) - sqrt(10))*3))**2.\nAnswer: 302400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/9709915 and -58\/285.\nAnswer: 553465155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7324, -27833, -62016, -109873, -171404, -246609, -335488?\nAnswer: -438041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4764 - 2384 - p - 2380 - p**2. Let f(t) = t**2. Calculate f(d(y)).\nAnswer: y**4 + 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (141\/(-6) - -6)*(-12)\/(-15). Let u(o) = o**2 + 15*o - 20. Let g be u(q). Which is bigger: -33 or g?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11679 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124*x - 1115*x - 7043*x.\nAnswer: -7034*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 2*q**3 - q**3 + (-3*q**2 - 2*q**3 + 3*q**2)*(-2 - 2 + 2) + 5*q**3 + 2*q**3 - 2*q**3 + (2*q**3 + 0*q**2 + 0*q**2)*(-231 + 378 + 377 + 368).\nAnswer: 1792*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.1. Let u = -14 - -11. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302409208 to the power of 1\/3, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 18*s**2 - s + 0*s + 6*s**2.\nAnswer: -10*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 104, 164, 232, 302?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110\/13 - -964\/117. Let m = -0.016 + -15.584. Let g = m + 16. What is the biggest value in -1, -0.3, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:21 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*o + 99*o = -64 + 202 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:21 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - (sqrt(76) - sqrt(76)*1)) + sqrt(76) + sqrt(76) - -3*-2*sqrt(76))\/(sqrt(20)\/sqrt(5)*-6 - sqrt(12)\/sqrt(3)*-2).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/15*(3\/(-6) + (-6)\/8). Factor 338\/19 + 2\/19*w**f - 52\/19*w.\nAnswer: 2*(w - 13)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:11 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -13. Suppose 0 = -t + 2*m - 5*m + 3, 2*t + 30 = 3*m. Let n = t - -13. Solve -2*w + 3*w = -3*i - 18, n*i = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-517)\/(-55) + -10 - 132\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1323133 (base 4) to base 15\nAnswer: -251d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.15 - 0.15. Let b = -13290608 + 13290574.0000018. Let a = b + r. What is a rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2269)\/(-3) + ((-3)\/(-27))\/((-15)\/45) and 126?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-81)\/(-45))\/((-9)\/(-300)) is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 20*r**3 + 79*r**2 + 230*r.\nAnswer: -r*(r - 5)*(r + 2)*(r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -0.27. Let m = 0.94 + 1.24. Let y = o - m. Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1672)\/(-28) + 1 + (-2)\/(-7). Let r = o - -46. Let f = r - -78. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1361147 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 10465.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4807 + 4d?\nAnswer: -47a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -157905, -4, 8, 2 in decreasing order.\nAnswer: 8, 2, -2, -4, -157905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 161713231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8955*y + 2838 = 8826*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1417961.7 minutes?\nAnswer: 984.695625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*y + 8, -2*y = -2*m + 7*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = 3939 - 3331 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2517.6 + 5.\nAnswer: 2522.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l**5 - 5*l**2 + 0*l + 0 - 5\/6*l**3 + 0*l**4 + 1\/40*l**6. Differentiate v(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 6.16?\nAnswer: -104.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.063 + -0.063. Let c = f - 2. Let n = -23.0225 + c. What is n rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = -4*y. Suppose -4*n + 4 = 6*d - 2*d, y*n = -3*d. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Is a equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4305 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19af + b4?\nAnswer: 1a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 1 - (-4)\/4. Suppose -u + 20 = 2*u - 2*i, 5*u = -v*i. Solve -u*b - 3*p = -1, 2*p = -b - 9 + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1320, 1310, 1298, 1284, 1268?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3908679.\nAnswer: 3, 127, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + 42\/18. Find the third derivative of 3*j**3 - r*j**4 + 0*j**2 + 2*j**2 - 3*j**3 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 104*z + 191. Determine o(36).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(10*x**2 - 5*x**2 + 5*x**2) as j*x + n + r*x**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/315*-6 - 1027\/(-195)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q. Let k(n) = -63*n**2. What is k(m(g))?\nAnswer: -1575*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 86*d**2 + 270*d - 274. What is k(89)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 97.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887434 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 + 1. Let t(c) = 48*c**2 - 11*c - 21*c**2 - 33*c**2. Let y(s) = -2*s**2 - 4*s. Let i(d) = -4*t(d) + 11*y(d). Give i(u(v)).\nAnswer: 578*v**4 - 68*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 < 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 384 = -3*s - 0*f, 0 = 5*s - 4*f - 603. Suppose -3*q - 245 = 4*q. Let k = q + s. Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8*5\/(-10) - 25*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/90 + (-1 - (-123)\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 378970100047?\nAnswer: 378970100046.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1587 + 1574)\/((-13)\/(-18))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.261 rounded to 0 decimal places?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27*1*6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000166155074 rounded to 7 dps?\nAnswer: 0.0001662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 58?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 9 (b) -8.55 (c) -17 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h = 32*h + 2475. Calculate the highest common divisor of 385 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.985003 rounded to three dps?\nAnswer: 22.985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 9, h: 6}. What is prob of picking 1 b and 2 f?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 2*y**3)*(2 - 3 + 3) + 5*y - 5*y + y**3)*(-28 + 11 - 14)*(5 - 5 - 8*y) as x*y**3 + w*y**2 + o + s*y**4 + g*y and give s.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7357*y**2 - 2*y + 9038.\nAnswer: -14714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**21)**(-42))**46 assuming z is positive.\nAnswer: z**(-42504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdb when three letters picked without replacement from {d: 1, s: 1, b: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(0*i - 4*i + 5*i) + 2*i + 2*i - 2*i - 22 + 23*i + 22)*(i**4 - 1 + 1).\nAnswer: 27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13*y = -11*y + 494, -259 = -2*z + 5*y. What is the remainder when z is divided by 70?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239353981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24389.33t to milligrams.\nAnswer: 24389330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*q - 2306 = 349 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x*x**3\/x)\/(x**(-2\/15)*x*(x\/x**(-1))\/x) assuming x is positive.\nAnswer: x**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let f(d) = d**3 - 3*d**2 + 2*d - 4. Let g be f(3). Suppose 12 = -4*v + 8*v. Let m(x) = -3*x**g - x**2 + v*x**2. What is m(t(b))?\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - h - 0 + 1, -s - 2 = -2*h. Let l be ((-3)\/(-3 - s))\/1. Let k(d) = d. Let c(u) = u**2 - 7*u + 2. Let m(v) = l*c(v) + 5*k(v). Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 + 4*p - 5. Let q be s(-5). Suppose u - 606 - 281 = q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 3}. What is prob of sequence yddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + -0.38. Let x = -14.9 - -15.2. Which is the closest to x? (a) i (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5742 + 660323\/115. Let a = -5384\/345 + s. Let d = 16 - 31. Do a and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**2*x + 292*t**2 - 61*x**2 wrt x.\nAnswer: -2*t**2 - 122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52035507 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3200)\/180 - (-11 + 303\/27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094131 millilitres in litres?\nAnswer: 0.000094131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*s = -4*s + 21, 984 = 3*f - s - s + 999 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 + 0.1. Let x be (-9)\/(-15)*(-10)\/(-18). Which is the third smallest value? (a) 3\/8 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17918710 is divided by 142.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 6981?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**3 + 4*k**3 + 7*k**3 + 6 - 6*k + 2*k**3. What is the units digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 36. Suppose 2*t = 5*t + v. Sort t, -2, -5 in decreasing order.\nAnswer: -2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 12 = 13*x. Let l(y) = y**3 + 11*y**2 - 14*y - 19. Let w be l(x). Let k(f) = -5 + w*f**2 - 6*f**2 + 3 - 7. Calculate k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -35*q**2 + 0*q - 45 + 38\/3*q**3. Find the second derivative of r(n) wrt n.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(66) - (sqrt(66) - (2*sqrt(66)*4 + sqrt(66) + sqrt(66)))) + sqrt(66)*1*1)\/(sqrt(30)\/(sqrt(5) + (sqrt(10) + sqrt(40)\/sqrt(4))\/sqrt(2))).\nAnswer: 4 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - c - 348397 = 0, 299659 = 2*y + 3*c - 48750. Round y to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.8 and 37?\nAnswer: -621.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = -0*u + 3*p, 2*u - 3*p = -10. Let j(l) = -l**2 + 2*l - 1. Let c(r) = -2*r**2 + 4*r - 2. What is u*c(n) + 5*j(n)?\nAnswer: -n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*s**2 + 1565*s**2 - 778*s**2 + 15*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - -0.34. Let v = 0.11 - y. Let d = -4\/7 - -6\/7. Which is the closest to d? (a) 0.3 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3 - 7. Suppose -3*n + 1 = -s. Suppose -3 + n = -j. Is j >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/4)\/(3\/(-12)). Solve -3*u - 27 = b + r*b, -35 = 5*b + 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, 0.1, -5.\nAnswer: -5, -11\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 72040*n - 1008532. What is j(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 321\/1122121 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1486 + 41*g**2 - 742 - 742 + 12*g**2 + 43*g**2.\nAnswer: 96*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + l - 2 = 0, -n + 26*l - 2 = 30*l. Let h be 30\/10*(1 - 0). Suppose 6*r - 3*r + h = 0. Put 1, n, r in ascending order.\nAnswer: n, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9184 and -0.5.\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(112\/42))\/((-3)\/(-19)*-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3))\/(2\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*r + 10 + 8, -2*a - 2 = -r. Let s be (8\/12)\/(r\/12). Differentiate 2 - 44*h**s + 3*h**3 + 44*h**2 wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.252041 tonnes in nanograms?\nAnswer: 8252041000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**5 - 68*q**4 + 428*q**3 - 284*q**2 - 424*q + 352 = 0?\nAnswer: -22, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1990*a**3*c**2 - 3*a**3*c*i + 51*a**3*c + 53*a**2*c**2*i + 4*a*c**2*i + 6*c**2 - 8*c*i wrt a.\nAnswer: -11940*c**2 - 18*c*i + 306*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8420 is divided by 559?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 times -81527?\nAnswer: 10843091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c**3 + 19*c**2 - c - 1. Let a(t) = -5*t**3 - 9*t**2 + t + 1. Let s(j) = 9*a(j) + 4*b(j). Factor s(r).\nAnswer: -5*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 6*g + 8*g - 5*g - 6*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2598712886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1449138.6 months to millennia.\nAnswer: 120.76155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.0632, 4448, -4?\nAnswer: 0.0632","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) -5 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*f + 24*f + 49*f)*(-3*f + 5*f + f) - 4*f**2 + 3*f**2 + 0*f**2 to o*f + i*f**2 + x and give i.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 647*p**2 - 3828*p + 30. Give c(6).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*k = 40, -u + k + 23 = -3*u. Suppose b + f + 2 = 0, -4*b - 12 + 4 = -3*f. Let n = b - u. What is the remainder when 26 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 1, l: 6, o: 1}. What is prob of sequence tdo?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 - 7*w + 6464. What is the hundreds digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**5 - 3341*i**3 - 13*i**2 + 101007*i + 2.\nAnswer: 40*i**3 - 20046*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 5:35 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.9? (a) -15\/4 (b) 0.7 (c) 3 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383481, -766948, -1150427, -1533924, -1917445, -2300996?\nAnswer: -2684583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33560 is divided by 3021.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*s)*(-5*s + 4*s + 3*s) + (-2*s - s + 4*s)*(2*s - 1 + 1) + 3*s + 3*s**2 - 3*s - 2*s**2 - s + s to the form h + q*s + b*s**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let a = 3 - l. Put -2, 1, a in decreasing order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 556*f**3 + 2*f - 267*f**3 - 261*f**3 + 2 - f**2 as b*f**2 + q*f**3 + a*f + o and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, 10, -9, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -339*x - 2028. Calculate j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 13. Determine z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -127.\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i**2 + 6*i + 3*i)*(i**3 + 3*i**3 - 2*i**3).\nAnswer: -4*i**5 + 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + 4*y**2 + (-y - 25*y - 18*y)*(y - 7 + 7) - 3*y**2 - 7*y**2 + 0*y**2)*(-4*y + y + 2*y).\nAnswer: 53*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10496892 is divided by 11061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and -26.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 3*m)*(-4*m + 3*m + 2*m)*(7 + 0 - 2)*(-5*m + 4*m + 2 + 3*m).\nAnswer: 20*m**3 + 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*q*v + 403917290*q + 628409*v**3 with respect to v.\nAnswer: -100*q + 1885227*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 182179264.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*l + 674 = 1007, 0 = 3*w + 2*l - 255. Let j = -11 - -15. Suppose 0*h - 36 = -j*h. What is the remainder when w is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15*f**2 + 13*f + 10. What is the tens digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -19*m + 23*m. Let h(q) = 20*q**m - 19*q**3 + 3*q - 2*q**3 - q**2. Let r = 1 - 4. Determine h(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**7\/70 + 7*q**6\/40 + 9*q**5\/20 - 27*q**4\/8 - 27*q**3 - 239*q**2. Factor r(d).\nAnswer: 3*(d - 2)*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.25. Let w = 0.45 - g. Let n = -7 + 3. What is the nearest to 1\/4 in n, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34347 is divided by 16256?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16)\/((-27)\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {y: 2, a: 3, b: 3, l: 3, d: 1, j: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from sczwcxrrx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v + 2323 - 2113 = 0. Sort -2, -24, -1, v in decreasing order.\nAnswer: -1, -2, v, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 287188 - -3?\nAnswer: 28718b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0192 - 60.5192. Let c = h - -60.4. What is the second biggest value in -52, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 58 = -c + 64, -3*c = -5*k - 202. Find the common denominator of (1 - (-118)\/20) + 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 - 484958*r**2\/7 - 4191636240*r + 6862911890976\/7.\nAnswer: -2*(r - 233)*(r + 121356)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.48092um in kilometers?\nAnswer: 0.00000009348092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5639486341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-220)*(-35)\/21?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1881*u + 242 = 1879*u, -2*i - 4*u - 56 = 428 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 + 92*l + 25. Let y be k(11). Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**3 - 8*m**2 + 7*m + 15. Let r be w(-7). What is the remainder when (2\/4)\/(17\/r) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*z + 0*z + 44 = 0, -8 = -z. Let u(d) = d**2 - 20*d - 40. Determine u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-8 + -14 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 1. Suppose 0 = -5*a - 13 + 28. Let m be g(a). Suppose 0 = 4*v - m - 3. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -1\/4 (c) 10244894 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.91727 + -0.08273. Which is the smallest value? (a) -0.4 (b) 1 (c) 1\/4 (d) y (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 852 - 851. Put 0.08, 2, 3, q in decreasing order.\nAnswer: 3, 2, q, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186607 (base 12) to base 13.\nAnswer: 11bb61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/14 + 1 - (-2)\/(-14). Suppose 41 = 3*s + 5*c, i*s = -c + 24 + 37. Suppose -l + 14 = 3*b, -b + l - s = -2*l. Let t(n) = 2*n**2 - 5*n + 3. Give t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 7*q**5\/60 - 5*q**4\/24 + q**3\/2 + 31*q**2 + 2. Let l(w) = -8*w**2 + 6*w - 4. Determine 3*l(z) + 4*r(z).\nAnswer: 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 35*b - 27*b + 16302*b**2.\nAnswer: 16302*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 74, 94, 114, 134?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 1, g: 1, u: 1, y: 3}. What is prob of sequence gfu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730399 is divided by 243462?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.624 + 0.124. Put h, 0.1, -0.03, 0.3 in decreasing order.\nAnswer: 0.3, 0.1, -0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2175591*l**4 - 5030*l + 696?\nAnswer: -26107092*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 281*h + 21\/2*h**2 - 193. Differentiate x(q) wrt q.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-19746.88.\nAnswer: 1382.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i - i = 0. Suppose 2*d - 6 = i, 2*d - 342 = -2*n - 2*n. What is the least common multiple of 12 and 3\/(n\/184) + 4\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akjcssa. Give prob of picking 1 k and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 49*y + 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -594\/46231?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.06 - -0.06. Let a = 41 + -40.7. Sort -1\/4, b, a in decreasing order.\nAnswer: a, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63743376?\nAnswer: 2, 3, 1327987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22660517*i*s**2 - 11553515*i*s + s wrt s?\nAnswer: 45321034*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700979*r**2 - 700836*r**2 + 1401806*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -18. Let f be 11\/j - (-1)\/4. Solve 5*g - 5*p = -25, -f*g + 13 = -2*g + 5*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 15*q = 3402. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from {x: 2, c: 4, m: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/246 or 0?\nAnswer: -1\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14445\/1284*(((-920)\/500)\/23)\/(2\/(-120)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 271\/4. Which is bigger: p or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3615 + 3615.38. Let z = 47\/196 + 1\/98. What is the third biggest value in n, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58580 and 4074239.\nAnswer: 2929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = -d, -2*a - 6*d + 5*d + 5 = 0. Suppose -h = a*h. Let c(k) = -3*k + 1. Let v be c(2). Put h, v, 2 in decreasing order.\nAnswer: 2, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12121 - -3?\nAnswer: 12130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*w - 12, 5*t + 1128*w - 1125*w = 37 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 296*k**4 + 6*k**3 - 2283*k**2 - 6. Let g(w) = 2*w**4 - w**3 - 2*w**2 + 1. Let u(q) = -b(q) - 6*g(q). What is the third derivative of u(i) wrt i?\nAnswer: -7392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 7 + -9)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddwddddddddddd. What is prob of picking 3 d?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*b - 250 = 0, b - 1250 = -5*d + 2*b. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x + 182 = -477 + 155 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -273.8 - -274.2. What is the second smallest value in r, 5, -0.01, -0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 7*l**2 - 3*l**2.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 146155, -340\/7?\nAnswer: -340\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-5)*20\/6. Suppose 60*g = 56*g + 16. Suppose 5 = 5*q - 2*w - 3, -g*w + 14 = 5*q. Solve -q*v + d*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6574882 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i - 2. Let w be y(2). Solve 16 = w*j, -f - 43*j + 17 = -38*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -43658 divided by -4569\nAnswer: 43658\/4569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:25 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - 890\/6. Let k be (-12)\/20 + d\/(-5). Let h = k + -14. Solve -c = 4*c + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -124.592. Let m = -0.092 + t. Which is the third biggest value? (a) m (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/4 - 5*c**3\/3 - 3*c**2\/2 - c - 1. Let n(w) = -3*w - 13. Let o be n(-6). Suppose o*h + 23 = 3. Determine s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 1472*g + 5. Let x(p) = 131*p. Determine y(x(t)).\nAnswer: -68644*t**2 + 192832*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, j: 3, s: 3, f: 1, x: 2}. Give prob of picking 2 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7572.674l to millilitres.\nAnswer: 7572674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 5 (c) -3\/8 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*l + 0 = 32, 3*z = 2*l - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49256 times 7\nAnswer: -344792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 507975007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/38, 1737.2, -8?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -61 in decreasing order.\nAnswer: 2, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -20, -16, -12, -8, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eno when three letters picked without replacement from okheooeenk.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958 - 241 - 231 + 6*b - 225 + 25*b - 261.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1878 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 equal to 3460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n + 124. Let p be l(16). Let y = p + -380. Factor 4\/7*k**3 - 5\/7*k**2 - 1\/7*k**4 + y + 2\/7*k.\nAnswer: -k*(k - 2)*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 2700 = -4*w, l = 4*w - 2708. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 8 = -6*d, 27*d - 25*d - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 9. Is 26 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + p**3 - 5*p**2 + 4*p - 5 + 3*p. Let h be i(4). Let d(v) = -v**2 - 5*v + 4. What is the units digit of d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 38, 116, 266, 512?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) + 34\/9. Let f = 2 - u. What is the second smallest value in f, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -3\/4, 2, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + q + 2*q + 0*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 21\/5, 32?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/7 - 1432*b\/7 + 128164\/7.\nAnswer: 4*(b - 179)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 36?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 5) to base 11.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let i be (2 + 2 + 4)*o. Suppose -2*s - 2*s = -5*w - 16, 20 = 5*s + w. Solve 4*l + i = -s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*i + 42 = 0, -i - 6 = i. Suppose r + 5*u - 95 = -4*r, -m = -3*r - 5*u. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 758\/26 + 2\/(-13). Let o = -24 + s. Suppose 0 = 3*x - 7*x + o*n - 5, -4*x = n - 1. Solve p - 1 = -x, p - 5 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*l - 12, 0*l = -3*l - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12539*z - 12770*z + 8547 = 0 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from wwwwcwcw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 49. Let o = s + -41. Suppose 5*g + 6 + 19 = o. Is g less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-1) - 2)\/2. Let c(n) = -10*n**2 + 0*n + 9*n**2 + l*n - 1. Suppose -5*r + 1 = 11. Let k(x) = -x**3 - 2*x**2 - 2*x - 2. Give r*c(i) + k(i).\nAnswer: -i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 13200945 + 57359055. Suppose l = 2*k + 10*k. Round k to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1865*n + 116334 + 84059 = 1527*n - 3127 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1176*t + 21924 = 1988*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82090654980 rounded to the nearest one million?\nAnswer: 82091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3853\/15 - -257. What is the closest to 0.3 in 0.4, -4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i + 48*i = -432. What is the greatest common factor of i and 22113?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31\/36 + -1\/36. Let s(n) be the third derivative of 10\/3*n**3 + 0 + 0*n - k*n**4 + 4*n**2. Find the first derivative of s(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 462*f - 12951. Give h(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3976\/(53 - 124) - (25 + 1).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -5 - (-45)\/15. Suppose 0 = -3*t + 5*q + 99, 2*t - 2*q = -24 + 86. Suppose 19 = 3*i + t. Sort i, a, 7 in decreasing order.\nAnswer: 7, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:28 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t - 92. Let y be j(12). What is y rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/20*l**5 + 0 + 1\/24*l**4 + 0*l - 1\/120*l**6 - 5\/6*l**3 - 3*l**2. What is d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3146515 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 times -0.0796\nAnswer: -0.0054924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -1 - 3) + -89. Let f = -60 - h. Let m = f + -13. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012002212 - 1122?\nAnswer: 111012001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnkknknkkksskk. Give prob of picking 1 s and 2 k.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Suppose 2*v - 6 = a. Factor 2*j**5 + j**5 + 4*j**2 - v*j**4 - j**5 - 2*j.\nAnswer: 2*j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/2 - 13*m**2 - 33*m. Let s be n(9). Solve -y = 2*q + 2*q - s, -q + 1 = y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.837 + -0.163. What is the third smallest value in 0.01, m, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 95 = 5*i. Let n = -22 + i. Let u be n\/(-2)*(-4)\/(-3). Solve x + u = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 24*s**2 - 13*s - 45. Let i be b(23). Factor 5*z**2 - 185 - 20*z + i.\nAnswer: 5*z*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0 - (-2 - 12)) + (-13 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4\/4 - 4*u**3\/3 - 3*u**2\/2 + u + 71. Let s = 2 + 2. Give n(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 8*r - 298. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -29*s**3\/6 - 5*s**2\/2 + 139*s. Let p(m) = -1. Let q(i) = -g(i) + 4*p(i). Let n(j) = -2*j**2. Determine q(n(w)).\nAnswer: -58*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5687 < 5889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525376.\nAnswer: 2, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21582 is divided by 119?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -0.1, -3, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 + 24656*g**2 + 740580*g = 0.\nAnswer: -30, 0, 24686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + o**3 + 2*o**3 + (-4*o + o + o)*(40*o**2 + 2969 - 2969).\nAnswer: -79*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49561, -52163, -56507, -62599, -70445, -80051, -91423, -104567?\n\"Answer: -i**3 - 865*i**2 - 48695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/27 - 51*(-10840)\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 10 + (18 - (12 + 15))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 6*h + 0*h)*(8 - 9 + 13).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuux when four letters picked without replacement from xuxeue?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -134. Let l(m) = 23*m - 4. Let f be l(j). Solve 0*a + a + f = -3*u, a = 2*u + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 z when three letters picked without replacement from cyyzcccxcw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5301700.916 - 2940.\nAnswer: -5304640.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -592241022134.37 and 23?\nAnswer: 592241022157.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3560 - 11268 = d + 336*d for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3804820 divided by 54.\nAnswer: 1902410\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14*14\/(-147))\/((-1)\/(-3)). Solve o = 5*o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 153473507?\nAnswer: -153473506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 94*c**4 + 15 + c**2 - 3 - 3 + 0 - 2*c**3 to k*c**2 + v + w*c**3 + t*c + z*c**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 3992981*a\/2 + 15943897266361\/4.\nAnswer: (a - 3992981)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 3*s**3 - 3*s**3 + (-3*s + 0*s + 2*s)*(-2*s**2 + 7*s**2 - 3*s**2) - 14 + 11 - 2*s - s**3 + 3*s**3 - 3*s**2.\nAnswer: -2*s**3 - 3*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54361799\/4 greater than or equal to 13590451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 2*v + 1. Let i be p(1). Solve x + 6*u - u = 20, i*x - u + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4718 + 2028. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/5 - 4\/(-10). Let z = -18 + 26. Let m = z + k. Solve -m*u = y - 20, 0*y + 5*y = -4*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.239 - -0.139. Which is the biggest value? (a) 0.2 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 30, -191, 28 in decreasing order.\nAnswer: 30, 28, 3, 2, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 3. Let k(i) = -2*i + 1. Let b be -4 + 0 - -9 - (1 - 2). Determine b*o(r) + 17*k(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3425 (base 8) to base 10.\nAnswer: -1813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j**3 - 4*j**2 - 28. Let w(p) = -15*p**3 + 5*p**2 + 28. Let k(x) = -5*u(x) - 4*w(x). What is the derivative of k(i) wrt i?\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 3*c**2 - 5*c - 4. Let y be i(-2). Suppose 30 = z + n, -3*z + y*n - n = -82. Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.17, -2, -38, 2\/5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20665 minus -11561572?\nAnswer: 11561572.20665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {u: 4, o: 1, g: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -344210?\nAnswer: -344205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 7)\/(2\/6). Let r(o) = o**2 - 3*o - o + 2 - 3. Calculate r(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 15?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 6*z**2 - 6*z - 6. Let b(c) be the second derivative of 0 + 1\/6*c**3 + 3*c + 1\/12*c**4 + 1\/2*c**2. Calculate -6*b(x) - o(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 8. Let v be d(13). Let p be (-12)\/162 + (-152)\/(-108). Which is the nearest to -0.1? (a) p (b) v (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 3*((sqrt(70) - sqrt(70)*-2) + sqrt(70)))\/(sqrt(360)*-2))**2.\nAnswer: 1183\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -11. What is the closest to 1 in -5, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98885665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796321799 to the power of 1\/2, to the nearest integer?\nAnswer: 42383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2, 0.18, -5, 0.5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 144. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493 and 100861.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 4924*b + 4920.\nAnswer: 4*(b - 1230)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11277692 and 11.\nAnswer: 124054612","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317808324*x**3 + 82800724.\nAnswer: 953424972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341030 - 340998. Suppose -8 = -5*x - l, -4*x = -0*x - 2*l + 2. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + 216\/28. Let l = j - 6. Sort l, -1, 5 in increasing order.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1539 and 7809?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2468 or -96203\/39?\nAnswer: -96203\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t + 232. Let a be f(20). What is the second smallest value in -0.04, 2\/3, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 39 = -3*g, g + 15 = s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*w, 1820*d - 1824*d - 3 = -3*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/6)\/(-1) - 2. Let o be 5*9\/((-1980)\/(-8)). Which is the second smallest value? (a) o (b) i (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.04, 0.03?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137760.\nAnswer: 2, 5, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11416, 22879, 34374, 45901, 57460, 69051?\n\"Answer: 16*n**2 + 11415*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -h + 1, 3*h - 20*v = -16*v - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 11.558602\nAnswer: 57.79301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) 0.12 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 7*o + 393 = -5*o - 0*o + 277, q - 5*o = 7 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 25 + 38 = 0. Let i = 161 + -157. Solve 5*q - 4*y - 16 = 0, -3*q + i*y = -f*q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 13*l**2 - 7*l - 4. Let q be c(14). Let f = -191 + q. Let o = f - -250. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(216) + (3*sqrt(216)*-1 - sqrt(216)))\/sqrt(9))\/((sqrt(8) - -3*sqrt(32)\/sqrt(4))*1))**2.\nAnswer: 3*sqrt(3)\/2 + 43\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n + 3. Let w be i(0). Solve -4 = d + w*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3\/3 + 3. Let r(q) = -4*q**2 + 7005*q - 7005*q. What is r(w(n))?\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43819842833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 3. Let t(g) = -10*g - 7. Let b = 378 - 375. Give b*t(k) + 7*p(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -204*q + 3. Let l(s) = 1. Let n(x) = -c(x) + 6*l(x). Let v be n(3). Does 20 divide v\/9 - 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*(1\/(-9))\/(56\/(-63)). Solve 5*u = -6*p + z*p, 0 = -3*u + 5*p + 37 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3896, 7797, 11698, 15599, 19500?\n\"Answer: 3901*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988714147.\nAnswer: 24481, 40387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f + 4*f)*(f**4 + f**4 + 0*f**4) + 8*f**5 + 5*f**5 + 2*f**5.\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1800 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwh when three letters picked without replacement from hhhhwihhhhwhhwxwwhx?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from aawaaawwaaaawawwaa.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21469320 and 69480.\nAnswer: 21469320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, e: 9, x: 8}. Give prob of picking 2 x.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201222012 + 20002?\nAnswer: 202012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3516 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 706316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglg when four letters picked without replacement from {g: 6, l: 13}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1224)\/324 + 8\/(-36)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h**2 + 6*h + 10. Let p be s(-10). Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6348 (base 9) to base 7.\nAnswer: 16406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100000 (base 2) to base 10.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/3 - -1*2. Let j be 1\/(-3)*(z + 1). Suppose -j*p + 19 + 5 = 0. Calculate the greatest common factor of p and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -22. Suppose x + 5 = 6*t. Let z(r) = 26*r**2 - 4*r + 8. List the prime factors of z(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/((-1944)\/1701)*90\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 53. Suppose 2*z + 1769994 = -p*l, -z - 342213 = -l + 542789. Round z to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 996 and 11877549?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 44 = -4*n + 52*z, -68 = -3*n + 5*z. Let t be n\/2 + 40\/(-90)*-9. What is the third biggest value in 0.2, 0.06, t?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-3*-3*-2*sqrt(72) - (-2*sqrt(72)*4 + -1*sqrt(72)*6)) + 4))**2.\nAnswer: -4800*sqrt(2) + 29200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 20, 13551*z + 37 = 5*j + 13548*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - -2*(sqrt(125)*3)**2) + 5 + -5 - (1 + ((3*sqrt(125) - sqrt(125)) + -1 + sqrt(125))**2)*4.\nAnswer: -2258 + 125*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48371, 48220, 48059, 47888, 47707, 47516?\nAnswer: 47315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 minus -500?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95489434 to the nearest integer?\nAnswer: 9772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4189*i + 46054. Determine x(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.12562 (c) -0.5 (d) 0.04 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604020 is divided by 2603.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 7 + -35 + 30.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.26 from -3.3.\nAnswer: -20.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953275922?\nAnswer: 2, 476637961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/101? (a) 21 (b) -0.4 (c) 5 (d) -0.13 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*k**4\/4 + k**3\/2 = 0 for k.\nAnswer: -2\/223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y, -5*z - 3 = 4*y - 1. Suppose z*u + 9 = 3*u. What is v in -u*v**3 + 2*v - v**5 + 8*v**5 - 2*v**4 - 4*v**4 + 5*v**2 + v**4 = 0?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*l + 52, 7*b - 20 + 136 = -2*l - 19 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwkkww. What is prob of sequence wkk?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*1\/25*-5. Is -24\/35 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 times 25\nAnswer: 6100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.4 in -1\/46, -9, 2\/17, -0.1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -29883*h + 1105671. What is j(37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18186970 to the nearest 100000.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 1, a: 5, u: 8}. Give prob of sequence iuia.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 576 = 3*v. Let r = v + -101. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1762\/5 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16 + 1240\/93)\/(-4))\/(6\/765).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, v: 2, n: 2, u: 2, w: 1}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 20. What is the lowest common multiple of 4 and w(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15*(-4)\/(-120))\/((-6)\/(-4)))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -2768?\nAnswer: -7750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208837712 and 60881?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39074 and 14?\nAnswer: 39074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6394575?\nAnswer: 3, 5, 11, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/63 and (-61)\/231 + ((-14)\/(-21) - 1)?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -38*s**2 + 17*s + 17. Let i(d) = 13*d**2 - 6*d - 6. What is 17*i(n) + 6*x(n)?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + 1. Let h = 0.04 - -0.36. Which is the nearest to -1\/2? (a) h (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 219, -178, -723, -1410?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2722077 is divided by 1360820?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28985)\/15810*150\/22?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20311 + 642?\nAnswer: -17447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 2 - -14) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 4*r**2 + 5*r - 4. Let d be c(3). Let l = d - -3. Suppose l*v + 8 = 78. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1055218 and 4470.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -4, -1925 in increasing order.\nAnswer: -1925, -34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46957, -46956, -46957, -46960, -46965, -46972, -46981?\n\"Answer: -k**2 + 4*k - 46960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/44164 and -59\/42944.\nAnswer: 7772864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-5)*1073 - (-8 - -8)?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - a**3 + 3 - 8 + 5 - 3*a as m*a**2 + r + c*a**3 + f*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*q*t**3 - 45*d**3*t**3 - 2*d**2*t + 2*d*q*t**2 - d*t**3 - 29*d wrt d.\nAnswer: 30*q*t**3 - 270*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 124\/14 - 288\/336. Solve -3*m = 4*c + 3, -3*c + 10*m = f*m - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3853320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 2235562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327 + 326 - 1305 + 52*a + 328 + 325.\nAnswer: 52*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -390*(2 + 16\/(-5)). Suppose m = -n + 5*n. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 3*s - 1. Let c be n(-3). Calculate the highest common factor of c and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1 + 5 + 1*(-2*sqrt(245) - sqrt(245)) + -3 + 5)**2 + -4.\nAnswer: -392*sqrt(5) + 3965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m - 339889 - 160111. Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 + 8*o**2 - 8*o - 12. Let t be d(-8). Suppose 2*x + x + 3*y = 1242, 5*x - y - t = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 386233?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(55)\/sqrt(5) + sqrt(11) + sqrt(396) + -3 + sqrt(396) + (1 + sqrt(99))**2*5 + -3*(sqrt(99) - -1*sqrt(99)).\nAnswer: 23*sqrt(11) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5058320 a multiple of 1060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**2 + 16*r**2 + 0 - 2 + 177*r**2.\nAnswer: 225*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 677*l**7\/210 + l**4\/3 + 1320*l**3 - l**2 + 201*l - 5. What is the derivative of s(i) wrt i?\nAnswer: 2708*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10815*b**4 + 19814 wrt b.\nAnswer: -43260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15655 - 2049 = 2*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -2\/19 (c) 0 (d) -2\/13 (e) -24\/29 (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*c + 175770 = -77*c - 50*c. Is 45 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.757 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -685229?\nAnswer: -685225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 16*z**3 - 13)*(7*z**2 + 7*z**2 - 7*z**2 + (-5 + 2 + 2)*(-3*z**2 + 0*z**2 + z**2)).\nAnswer: 144*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8700 or -8674?\nAnswer: -8700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**4)\/k*k*k**(-7)*(k*k\/k**(2\/5))**45 assuming k is positive.\nAnswer: k**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3250 + 3239 - 146\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2462988746.\nAnswer: 2, 1231494373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000026909 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(5 - 3))\/(-3*(-2)\/(-90)). Calculate the greatest common divisor of 1245 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3068 and 2.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/9*(-124)\/12 and 7\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -530, 4, 0, -7027, -5 in descending order.\nAnswer: 4, 0, -1, -5, -530, -7027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 91 = 3*a. Let x(o) = -2*o**2 + 7*o - 7. Let v(f) = -f**2 + 5*f - 5. Let w(m) = a*v(m) - 5*x(m). Let r(l) = -3*l**2. Determine r(w(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 16*i**2 - 10*i**2 + 15*i**2. Let r(g) = -11*g**2. Determine u(r(k)).\nAnswer: 2541*k**4 - 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 274*y**2 + 132*y + 414. Let v be q(69). Which is the smallest value? (a) 51 (b) 4\/9 (c) v (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 13*i**2 - 7*i + 1. Give u(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rayy when four letters picked without replacement from {a: 1, y: 12, r: 3}?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, 58, 611, 1708, 3535?\nAnswer: 6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*v = 5, 3*y - 2*v - 3*v = 30. What is the second derivative of -6*z + z**4 + 5*z - 13*z**4 - y*z**4 wrt z?\nAnswer: -204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - 19.97. Let t = -19.89 - g. Let v = t + -0.10999969. What is v rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 153, 300, 447?\n\"Answer: 147*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -21 - (8 - 4 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1184 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -91*d**3 - 56*d. Let a(k) = 2*k**3 + k. Calculate 280*a(t) + 5*x(t).\nAnswer: 105*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-30) - (-602)\/10. Let t(p) = -x*p + 6*p**2 - p**3 - 1 + 61*p + 2. What is t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2737, 5, -3, -8 in increasing order.\nAnswer: -8, -3, 5, 2737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/133 - -125\/532. What is the third smallest value in r, -4, 0.16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 14, 29, 48?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141810 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d. Let w be n(6). Suppose -104 = -5*u + 4*o, -3*u + 5*o = -w - 28. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3694272 and 11924.\nAnswer: 40636992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/9)\/((-4)\/4272)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k + 20*k + 320. List the prime factors of (-6002)\/k + (6 - 130\/25).\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86737847?\nAnswer: 7, 59, 210019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*15700\/323420\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 105 + 42 - 308 + (-5 + 1 + 3)*(-1 - 1 + 0))*(8*r**2 + 6*r**2 + 6*r**2) to j*r**2 + q*r + y and give j.\nAnswer: -7180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2562*b + 2511*b - 693 + 220 + 233 + 242.\nAnswer: -51*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/63140 and 43\/6560.\nAnswer: 505120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11041981397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 103. Let g(u) = -9068*u - 700503. Let f(c) = g(c) - 6801*n(c). Let t(b) = -b**2. Calculate t(f(m)).\nAnswer: -5139289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-456))\/(3\/(-234))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 2\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 15. Suppose 0 = -n + 3*f + 35, -41*n + 44*n - 73 = 5*f. Calculate t(n).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 - -97. Let v = 232.02 - k. Round v to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -571 + 2?\nAnswer: -56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3421967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:19 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*z + 49, -9 = 4*z + 2*h + 31. Suppose 4*k - 51 = k. Let d = k - z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-9)\/6)*2. Let r = 36 - 22. Let d(w) = -14 + w + r - 6*w**k. Give d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -10 - 153 - (6 + 2 + -16 + 6)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 0*a**2 - 5*a**2 + 3*a**2 + 2*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/8 - 27*i**2\/8 - 3*i\/8 + 27\/8.\nAnswer: 3*(i - 9)*(i - 1)*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s - 8. What is the units digit of r(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*y + 400 = -843*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1 + 4*q**2 - 4*q**2 - 2*q**3. Let n(k) = 11*k**2 - 36*k + 5. Let y(i) = -47*i**2 + 153*i - 21. Let b(j) = 17*n(j) + 4*y(j). Give 2*b(p) + z(p).\nAnswer: -2*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -698, -1396, -2094?\n\"Answer: -698*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)\/l*l*l*l\/l**(-2\/15)*l*(l\/(l**10\/l))\/l*l*((l*l**(4\/3)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -5, 4, 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*t + 567*t - 1064 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032 (base 5) to base 12.\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/2)*u**(2\/13)*(u\/(u*u**(1\/4)*u))**(7\/11) assuming u is positive.\nAnswer: u**(-653\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c**2 - 2)*(-1 + 9 - 5)*(c + c - c)*(-1 + 0 - 1).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3664.5.\nAnswer: -7329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 795880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 490\/(-140) - 68\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(832) + (3*sqrt(832) - sqrt(832)) + -4*(-2 + sqrt(832)))**2.\nAnswer: -192*sqrt(13) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 31*n**3 + 1397*n**2 + 126*n + 1613. Determine g(-45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 3*g - 35, 0 = -n - 5. Suppose 165*c = 208*c - 258. Solve 5*z - r = -g, 4*z + c*r - 6 = 3*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01855 - 0.08145. Put 0.08, 1\/2, -6, h, -0.07 in descending order.\nAnswer: 1\/2, 0.08, -0.07, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8788211880 rounded to the nearest 100000?\nAnswer: 8788200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - -0.21. Which is smaller: 15 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**8*f)\/f))\/f**(-1\/19) assuming f is positive.\nAnswer: f**(-151\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 10*v**2 + 3. Let h be z(10). Suppose -4*x - s + 17 = 0, s - h*s + 7 = -x. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -11. Suppose 2*p = 2 + 2. Suppose 3*m = v + 3*v - 29, 2*v - p*m = 14. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -245c - -3?\nAnswer: -2459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/(5\/(-25)). Let g be (-2 + -7)*x\/(-6). Does 7 divide ((-12)\/8)\/(g\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -76, -117, -158, -199?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8624, 8625, 8626, 8627, 8628, 8629?\n\"Answer: a + 8623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 19380018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 171a (base 11) to base 10\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 165 = -185. Let d be (g\/(-30))\/((-2)\/(-6)). Suppose 826 + 399 = d*u. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.7 + 134.7. Is y at least 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 1, q: 1, l: 9}. Give prob of sequence qhq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*h)*(-h + 2*h**2 + h) - 3*h**3 - h**3 + 2*h**3)*(-16 + 25*h + 16) + 4*h**4 - 2*h**4 - 5*h**4.\nAnswer: 47*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3497 and 25461388?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12658465 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -0.6, 6.823 in increasing order.\nAnswer: -0.6, 6.823, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 3*q + 5. Let g be v(0). Let p be (2 - 2)*(-2)\/(-4). Solve g*h = -p*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1909*m - 134*m - 1086*m + 0*m - 4*m + 3*m + 3*m - 4*m + 2*m + (2*m - 5 + 5)*(0 + 0 + 2) - m - 2*m + m to g + s*m and give s.\nAnswer: -3127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**3 - 5*u + 4. Let v be j(1). Solve 0 = -4*p + 7 + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**3 + 3*o**3 - o**3)*(4*o - 3*o - 10*o) + 31*o**4 + 178*o**3 + 23*o**4 - 179*o**3 as s*o**3 + n*o**4 + c*o**2 + l + q*o and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2010, -4015, -6018, -8019, -10018?\nAnswer: -12015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - -53?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/8 + 4\/16 - -7. Let i be (80\/(-14))\/(w\/(-14)). Suppose 2*q + 7*q - 15*q**4 + 15*q**2 + i*q**5 + 2*q - 6*q - 25*q**3 = 0. What is q?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 + -6) - -4199. Let i = w + -2359. Let m = -312 + i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 9*n - 2*n. Suppose -n - 55 = u. Let l = 69 + u. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36778*d + 36368*d - 35670 = 0 for d.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m*m*m)\/m)\/(m*m**(-3\/17)) assuming m is positive.\nAnswer: m**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 69*i**3 + 2*i**2 + 12*i - 12. What are the prime factors of t(3)?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 4)*(2*p + 6*p - p).\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -0.1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1345 and 1588445.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14189637 and 1113.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-15\/2)*(t**20\/t*t)\/t*(t\/t**11*t)**(-31) assuming t is positive.\nAnswer: t**(613\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 848.6 * 7\nAnswer: 5940.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*r, -3*d + 1893 = 3*r + 1896 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/6, 2\/11, 2, 89?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19051\/8 - 2376. What is the common denominator of t and 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008920813 to seven decimal places.\nAnswer: 0.0000892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, g: 2, h: 1, m: 4, a: 1}. Give prob of picking 2 n, 1 a, and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 4*q + 10, 0 = u + 2*q + 3. Let f be u\/(-2*(-4 - (-57)\/14)). Which is the third smallest value? (a) 2 (b) -0.06 (c) f (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.62 + 4.65. Sort -5, 3, a in descending order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6 + (-45)\/10. Let w(m) = -5*m - 12. Let h be w(y). Suppose 2*f + 205 = h*k - 0*f, 3*f - 195 = -3*k. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14485726 and -963106?\nAnswer: 13522620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u + 2 - 1\/2*u**2. Suppose 0 = 2*o - 9 + 9. What is s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1908 and 1484.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 8*i - 89, 12*i - 209*b + 205*b = 7*i + 60 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {c: 2, b: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -96. Let y = 68.65 - f. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 882, 3583, 8094, 14415, 22546, 32487?\nAnswer: 44238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53882 = 9*w + 4*w - 273582. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*m = 5, -914*m + 919*m + 10 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4240618 + -9792918. Round s to the nearest ten thousand.\nAnswer: -5550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, -1, -4, 2\/79, -33 in increasing order.\nAnswer: -33, -4, -2, -1, 2\/79, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 3*i = 5*z + 40, -4 = -q*z - 1. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-5\/6)\/u)*u**9*(u**12\/u)\/u*u\/((u**(-13)\/u*u*u*u)\/u) assuming u is positive.\nAnswer: u**(203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 169*m - 31880. Determine k(113).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 2, r: 4, f: 2, n: 3, y: 1}. Give prob of picking 1 y and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**3 + 11637*m**2 + 68*m - 503 wrt m?\nAnswer: -36*m + 23274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 16*i**3 + 4 + 116*i**2 + 50*i**2 + 41*i**2 - 207*i**2.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6492.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -501 + 503. Let s be (2\/16)\/(20\/8 - u). Factor 16*b**2 - 4*b + s.\nAnswer: (8*b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 10690. Let o(z) = -z**2. Give j(o(v)).\nAnswer: -2*v**2 - 10690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 33, 41, 45, 45, 41?\n\"Answer: -2*m**2 + 18*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14343661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 348617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012202021211 + -12?\nAnswer: -1012202022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*h. Solve -y = 4*k - 5*y, -2*k + y + 1 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, -8950, 2, -7, -34 in decreasing order.\nAnswer: 5, 3, 2, -4, -7, -34, -8950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1648030*p + 1596516.\nAnswer: -1648030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 567\/668?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(-20) - 2\/5. Suppose -1 = n, -3*a - 2*n = a - 18. Suppose 2*t - 134 = -m*c, 150 = a*c - 0*t - t. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 - 91. Let n(p) = -2*p**2. Calculate n(u(o)).\nAnswer: -50*o**4 - 1820*o**2 - 16562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/1 - (-4 + 4). Let r be f\/6*18\/(-78). What is the nearest to 0.1 in 2, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15)*(-21 + 0). Suppose -5*n + 11 = -c. Let f(r) = r + 3. What is the remainder when f(6) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven halves of a century?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 498 - -23. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 8 - 971)*(-5*h**4 + 3*h**4 - h**4) to u*h**2 + a*h**3 + n*h + v*h**4 + j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240821\/10 - 24082. Which is the third biggest value? (a) s (b) 0.5 (c) 3 (d) 5 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - z**2 + z**2 + (4*z - z - 4*z)*(-4 + 4 + 2*z**2) - 3*z**3 + 5*z**3 - 3*z**3 - 2*z**3 + 0 + 0 + 8*z**3 - 11*z + 11*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 10*u**2 + 7 + 24*u**2 - 9*u**2 to the form y*u**2 + t + v*u and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -41 + 115352*a - 115342*a - 176. Give w(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 + 2*n - 2. Let b(i) = 8*i**2 + i**2 + 4 + 23134*i - 23137*i. Give -6*b(t) - 11*j(t).\nAnswer: t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -22, 5, 0.2, 79.78 in increasing order.\nAnswer: -22, 0.2, 5, 19, 79.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, 88557 in increasing order.\nAnswer: -4, 3, 4, 88557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*o + 11 = 0, 2*n = n + 2*o + 7. Solve -k - 12 = -4*m - n, 0 = -5*k - 4*m - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/37 - -67\/333. Suppose 3*o = 2*c - 2*o - 25, 0 = -3*c - 4*o - 20. Is c smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*r*z - 973896*a**2*r - a**2*z - 2*a*r*z - 4*a*z + 2*a + 12246*r wrt a?\nAnswer: -6*r*z - 1947792*r - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = -34 + 84 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = d + 6, -3*d + 2*h = -0*h + 18. Let q be (-2)\/3 + (-4)\/d. Suppose q = 4*y - 5*y + 8. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264969 is divided by 132396?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*v + 18, 0 = 2*h + v - 2*v - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/34 and 30\/221?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/5)*y)**(33\/5))**(3\/17) assuming y is positive.\nAnswer: y**(99\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 6127?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose -z*h = 2*s - 2, 4*s - s = -5*h + 3. Solve h = 3*m + m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(3\/(-5) - 28\/70)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 43. Let f(s) = -14. Let y = 10 + -2. Let m(t) = y*f(t) - 3*j(t). Is m(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/19*(-10 - -11). Let m = -537\/95 - o. What is the common denominator of -137\/12 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(968) + sqrt(968)*1 + sqrt(8)).\nAnswer: sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 8:49 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 3*h**2 + 5*h**2. Let p(r) be the third derivative of -r**5\/30 - 13*r**2. What is t(p(n))?\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 7 + 1)*(-15*m - 6 - 18*m + 32*m).\nAnswer: -19*m - 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 9*n**5\/20 + 7*n**4\/12 - 13*n**3\/6 - 3*n**2\/2 + 21*n + 3. Let a(p) = 5*p**3 + 4*p**2 - 7*p - 2. What is -7*a(o) + 4*i(o)?\nAnswer: o**3 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -11, 5, -4 in descending order.\nAnswer: 5, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 170, 692, 1570, 2810, 4418, 6400, 8762?\n\"Answer: z**3 + 172*z**2 - z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:41 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/4, 0.66, 60, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 2\/15*c**6 - c - 3*c**2 + 0*c**5 + 0*c**4 + 0 + 0*c**3. What is the first derivative of r(u) wrt u?\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 130.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923874 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*k + 11365 - 2341 = 56*k - 56*k for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/34*(-1274)\/637?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/4 - 5*j**3\/3 - j**2\/2 - 2*j - 1. Let h(t) = -4*t + 2*t + t. Let c be h(-5). Calculate x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -35*c**2. Let l(w) = -15116960 + 15116960 - 84*w. Give n(l(k)).\nAnswer: -246960*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/19)\/(23 + (-3893)\/170).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**3 - 7*l**2 - 18*l - 22. Let u(b) = 18*b + 48. Let q be u(-3). What is the units digit of i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232242132 (base 5) in base 4?\nAnswer: -10001302231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 477928490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -30. Suppose -o - 6 = 3*u, -m + 5*u = -24. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0417687ml in litres?\nAnswer: 0.0000417687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x + 11*x - 283 = -13*s - 20*x - 14*x, -x = 4*s - 33 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 7*w**6\/6 - 7*w**3\/3 + 8. Find the third derivative of l(j) wrt j.\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2820*c**4 - 142*c**3*d**3 - 3*c**3 - c**2*d**3 + c*d - 152687*d**2 wrt c?\nAnswer: -67680*c - 852*d**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*g - 3\/8 - 3\/8*g**2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4 - 8*t**2 + 1 - t + t**3 + 0*t**3. Suppose 0 = -4*f - 3*z + 14, -4*z = 5*f - 743 + 727. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.4. Let q = 0.49 - -2.51. Let z(r) = -r**3 + 9*r**2 - 22*r + 7. Let v be z(5). Which is the closest to g? (a) v (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 103428168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9147*t**3 + 203*t**5 + 9147*t**3 + (t + 3 - 3)*(3*t + 2*t**4 - 3*t))*(3 - 4 - 3).\nAnswer: -820*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*q + 20*q - 20524 = -436*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10022?\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 1. What is d(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039349353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.238*-0.23.\nAnswer: 0.05474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.082?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**7\/840 + n**4\/8 - n**3\/6 - 3*n. Let g(b) be the second derivative of w(b). Find the first derivative of g(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6052541, 6052542, 6052543, 6052544, 6052545, 6052546?\n\"Answer: k + 6052540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 128 (base 9) to base 6\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -80. Let y be (-5)\/(-50)*n - 49\/(-2). Let z(o) = 6*o - 18. What is the hundreds digit of z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.076 and -0.16.\nAnswer: 0.01216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*u - 47*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/9 + (-564)\/(-108). Let q(c) = c**3 - 4*c**2 - 5*c + 7. Let v be q(n). What is the greatest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*h - 458*h = 332*h + 8095 - 39295 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-126))\/(2\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**3 + 2780*b**2 - 292923*b?\nAnswer: -54*b + 5560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 8:17 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4992 and 50?\nAnswer: 124800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z - f = 45, 0*z + 454*f - 913*f + 1 = -2*z - 458*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**3 - w**2 - 16*w - 37. Calculate t(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/40 - 11*k**5\/60 - k**4\/8 + 2*k**3 - 18*k**2. List the prime factors of s(-5).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 2. Let i be k(0). Suppose -i*o = -4*u + 108, -u + 0*u = 4*o - 27. Let t = 35 - u. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 163. Let j(r) = -3*r - 82. Calculate -5*j(u) - 2*w(u).\nAnswer: u + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70426547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kodooroodrdro. What is prob of picking 1 k, 1 d, and 2 r?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4485679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e + -1f8c?\nAnswer: -201a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let g(p) = 33 - 33 + 9*p**2 - 2*p**2. What is k(g(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1299 = 4*g, -4*g + v + 1528 = 241. Suppose 0 = -320*o + g*o + 11854. Let s = 21647 + o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**5 - 3*t**2 - 8*t - 3. Let v(l) = -l**5 - l**2 - 1. Let d(f) = -u(f) + 3*v(f). What is the second derivative of d(a) wrt a?\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 9*t**2 - 15*t - 38. Determine s(-9).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + (sqrt(80) + -2*sqrt(80) + sqrt(80) + sqrt(80))**2 + sqrt(80) + -1 + sqrt(80) - (sqrt(45) + -2)**2*1.\nAnswer: 30 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.4. Let j = -12 + 12.8. Let x = -0.6 + j. Which is the closest to x? (a) o (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-44)\/2992*-561.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7596?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0185 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**3 + 12*u**2 + 66*u + 14. What is n(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, q: 7, y: 2}. Give prob of sequence ynn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 90 = 0. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 967959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 114.\nAnswer: -17\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 + 0*x + 0*x)*(3 - 5 - 1)*((-4*x + 4*x - 2*x)*(1 + 3 - 2) + 1 - 1 - 2*x) to v*x + s*x**2 + o + n*x**3 and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1450784*m**3 - 1102391*m wrt m?\nAnswer: 8704704*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/3))\/(f\/(f*f*f\/f**(1\/3))*f))**(-3\/31) assuming f is positive.\nAnswer: f**(-6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68.439 + 70.439. Let g = -11 + 16. Put g, -0.1, 0.1, k in descending order.\nAnswer: g, k, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 87*b. Let v(s) = -2*s**2 - 6*s. Let r(a) = -2*a**2 - 5*a. Let g(t) = 6*r(t) - 5*v(t). What is j(g(k))?\nAnswer: -174*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*g**3*r - 52*b*g**3 + 5*b*g**2*r + 2*b*g + 2*b - 4*r - 2 wrt r?\nAnswer: 2*b*g**3 + 5*b*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 16, 4*l = -4*k - 2 - 34. What is the nearest to -1 in k, 3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 886 + -885.6. What is the closest to -1 in 1\/3, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u - 54. Let l be g(-10). Let n be 8\/l + (-11388)\/(-27). Suppose 274 = 4*b + 4*p - n, b + 2*p = 173. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50814*r**2 - 50814*r**2 - 50283*r**2 + r**3 - 50801*r**2 + 202712*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 102011001?\nAnswer: -102010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83677, 167621, 251565?\nAnswer: 335509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024897612 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 14*s + 35. Let c be t(-8). Let g(v) = v**2 + 18*v - 6. Let o be g(c). Let l = -41 - o. Calculate the highest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 11*y**2 + 5*y + 6. What is x(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*b + 9619 = -17838 - 1635 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20879704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 96*n**2 - 149*n + 158. Calculate z(30).\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i + 0*i + 0*i)*(1 - 1 - 7) + (2*i - 3 + 3)*(1 - 4 + 2))*(-2*i**2 + 2*i**2 + i**2).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 5147381*q - 5147381*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 m when four letters picked without replacement from {b: 7, m: 2, d: 3}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3029151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 819*a + 31119. What is o(-38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 13*h - 12. What is the remainder when d(-11) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14556 + -6575. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -225, -452, -679, -906, -1133?\n\"Answer: -227*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.63 + -0.37. Which is bigger: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 + 8*c**3\/5 - 13*c**2\/5 + 6*c\/5.\nAnswer: -c*(c - 6)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -12. Let j be 15*(1\/(-9))\/(q\/36). Suppose 0 = -j*c + 4*c + 108. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5178192190 to the nearest 100000.\nAnswer: 5178200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1455\/260 + (4\/(-11) - 10804\/(-20878)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -9 - (-6 - -2). Suppose 3*c = -c + 24. Suppose -j = 1 + c. Which is bigger: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/60 - x**4\/24 - 5*x**3\/6 - x**2 - 205*x. Calculate m(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/150 + 13*z**4\/30 - 133*z**3\/15 + 1943*z**2. Determine o so that n(o) = 0.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**8\/168 - r**6\/15 + r**5\/15 + r**4\/4 - 2*r**3\/3 + 6*r**2. Factor f(q).\nAnswer: 2*(q - 1)**3*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/3 - 20644*y**2 + 185810*y\/3 - 41292 = 0?\nAnswer: -30969, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4872\/140*(-4)\/1107*15\/(-20). Does k = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 + 14*s + 23. Let a be i(-5). Let u = -175 + a. Calculate the remainder when 5 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.67599 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*y + 104*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -4) + -17 + (-9 - -20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeuueyaio. What is prob of sequence iuoe?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -403440 != -403438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 350*c + 1754. Let o be z(-5). Calculate the highest common factor of 1916 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7045*m - 1. Let b(s) = -2*s + 181. What is b(v(z))?\nAnswer: 14090*z + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.118695 months?\nAnswer: 0.00000989125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2156 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6089 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 341485 plus 0.25382731?\nAnswer: 341485.25382731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206263?\nAnswer: 1206263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507.9*11.1.\nAnswer: -5637.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5. Let z be k + -3 + (8 - 0). Let a be (-3)\/((-24)\/(-2)) + (-438)\/(-24). What is the highest common divisor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02604*0.4.\nAnswer: 0.010416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + d**2 - 2*d - 2. Let m(f) = f**3 - 3*f**2 - 3*f. Suppose 25 - 13 = 3*b. Let w be m(b). What is y(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjarrjjrajssssrsss. What is prob of sequence rjs?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {y: 1, i: 2, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:31 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 32 = 3*i, j - 7 = -i - 4*j. Let m = -111 - -141. What is the least common multiple of m and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263 divided by 1.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1\/4, -144.225?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0)*(-92)\/276.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let m(v) = 4*v + 8*v + 3 - 5*v - 4. Determine m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341582559.\nAnswer: 53, 1759, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67250 rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 493 - 491 - 51\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 880 = 0. Suppose r = -r + x. Calculate the greatest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-4))\/(1\/8). Let s be 2\/(-21) - 14\/(-147). Suppose -7*q + 524 + 1044 = s. Calculate the greatest common divisor of c and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 0.2 (c) 0.42 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 5ba5?\nAnswer: 5ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21760)\/182784*4\/(-10).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 56 + 55 - 9*w**3 + 2*w**2 + 12*w**3 - 2*w**4 in the form t*w + h*w**2 + f*w**4 + x + r*w**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5049547849 + 111?\nAnswer: -5049547738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14738532*d + 26354208 with respect to d.\nAnswer: -14738532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309864*b**3 - 269682*b?\nAnswer: -1859184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 21 + 3 = 0. Let w(i) = 8*i + 1. Let a be w(1). Suppose -5*f = -a - 6. What is the smallest common multiple of f and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 109 = 170*o + 1078, 0 = -l - o - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.1, 2 in decreasing order.\nAnswer: 2, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 57*x - 62*x. Let y = -49 - x. Let w be ((42\/(-4))\/(-7))\/((-3)\/(-4)). Solve -l - 5*r = -10, 3*l + 0*l + w*r - y = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 106110161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o - 33240 = 46*o - 153852. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 10011001123?\nAnswer: 10011001013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051250 (base 6) in base 7?\nAnswer: -564603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let t be q\/(-4) + (-156)\/(-8). What is the units digit of (0 - 3 - 0) + t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 9:55 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*9\/36*4\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 9*n = -25 - 52, -17*t + 2 = -17*t - 5*n + 5 + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -4. Suppose 4*v - 9 - 27 = 0. What is the remainder when v is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212 minus 281599?\nAnswer: -278387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1630 = -42*f - 286. Solve 8*w + 2*k + 23 = 3*w, 4*w = -5*k - f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11090549*f**3 + 5545277*f**3 - 3*f + 3*f + 5545270*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 1*sqrt(77)*-5 - sqrt(77))\/(sqrt(21)\/(-3*sqrt(3))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/371? (a) -4 (b) -5 (c) 0.8 (d) 1\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1470277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 4. Differentiate s - 1 + 4 + 2*h**2 with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 873799900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(9*w - 18*w + 5*w)*(w**3 - 3*w**3 - 29*w**3) + 6*w - 4*w**4 - 6*w.\nAnswer: -128*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2 - 6*w + 5. Let s be t(4). Let j = s - -10. Is (-925)\/j - 6\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 6.1 (c) -3047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/52470 and 19\/14124.\nAnswer: 11228580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 257 = 5*p + 47, 0 = -z + 2*p + 81. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (6 - (8 + -2 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4 = 871. Find the second derivative of -127 + 127 + c*l - 69*l**4 - 80*l**4 wrt l.\nAnswer: -1788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 84 = 0. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*g - 385*g + 182 = 0. Let z be (-7)\/4 + g\/(-104). Solve -q - a = z, -3*q = q - a + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3208 times -0.4?\nAnswer: 0.12832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -21*q**2 + 58*q + 192. What is u(-3)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 45\/2*s - 3\/4*s**4 + 33\/4*s**2 + 3*s**3 = 0. Calculate s.\nAnswer: -3, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-598)\/230 - 15\/(-25). Let b(u) = u**3 + 6*u**2 + 3*u + 7. Give b(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62317\/11 - 5699. Let g = c + 34. Is g <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2742004661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 439 - 220 - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**7\/630 + w**5\/40 + w**4\/4 - 5*w**2. Let i(k) be the second derivative of a(k). Find the first derivative of i(g) wrt g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2832 and 61\/708.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -424 - -456.4. Let h = -24.4 + n. Let p be -3*(-25)\/36 - 2. Put -4, p, h in decreasing order.\nAnswer: h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13588055 is divided by 986?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 29. Let j be a(8). What is the third derivative of 31*h**j + 7*h**2 - 30*h**3 + 2*h**5 + 56*h**2 wrt h?\nAnswer: 120*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3 + 87 - (-24)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/205824 and 109\/96.\nAnswer: 205824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62 - (0 - (-2 + 6)). Let d be ((-2)\/l)\/((-6)\/36). Put d, 0.5, 3 in decreasing order.\nAnswer: 3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -182*y**2 + 5469*y + 8. What is the hundreds digit of p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {h: 3, o: 3, v: 8, u: 2, a: 3}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -398309 divided by -545\nAnswer: 398309\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2 + -3 + 2. Is -2 - 19\/u - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/(0 - (-6)\/(-24))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -i, -8 = -j - 3*i - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 516, 774, 1032, 1290?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8666, 157, -19?\nAnswer: -8666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 plus 17014?\nAnswer: 16989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let x be ((-4)\/(-2))\/((-2)\/4). Sort g, x, 5 in descending order.\nAnswer: 5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 165698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31135 + 328.\nAnswer: 327.68865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20740 - 4*f + 2*f + 6909 + 6921 + 6904 - 2*f.\nAnswer: -4*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14604995 divided by -5?\nAnswer: -2920999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 3*c - 4*c + (-7 + 1 + 0)*(-c + 0*c - c))*(0 - 3 + 2) as w + o*c and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*w + 10 = 0, w = 3*k + 4*w. Suppose -2*i = -5*p + 4 - k, -2 = p - 3*i. Sort 4, -0.5, p.\nAnswer: -0.5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 21.946 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2 (b) -4 (c) 5599\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, -76, -102, -124, -136, -132?\n\"Answer: p**3 - 7*p**2 - 10*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/11)))\/j*j*j**(-1)*(j\/j**(-1\/7))\/(j*j\/j**(-2\/9)) assuming j is positive.\nAnswer: j**(-1567\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((-12)\/48 + (-442)\/(-72)). Which is smaller: -9 or u?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 990 + -988. Let w = 5 - 5.2. Which is the closest to 1\/4? (a) d (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*s + 4*s**2 + 98*s**2 + 158*s + 124*s**2 + 46*s**2 wrt s.\nAnswer: 544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -251.4 and -0.294784.\nAnswer: -251.694784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 7*a**2 + 45*a + 5. Let b(o) = -o**3 + 3*o**2 - 2*o + 11. Let c be b(0). Calculate the remainder when 94 is divided by w(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2 + 2*o - 5. Let s(c) = 8*c**2 - 2*c + 6. Suppose -8 - 46 = -9*f. Calculate f*s(d) + 7*z(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 120960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 9*n - 142. Determine m(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**4\/6 - 680*m**3\/3 - 49295*m**2\/6 - 1240*m + 240450 = 0. What is m?\nAnswer: -229, -42, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 3. Let r be i(1). Suppose 4*x = -r*x + 160. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2448, 9809, 22042, 39111, 60980, 87613, 118974?\nAnswer: 155027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 8*k**2 - k + 7. Suppose 6*b = 4*b - 16. Let a be o(b). Let t be (-9)\/a - 144\/(-15). Solve 0*y - y - 4*z = 12, 3*z = -t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 100395288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 39. Suppose 4*a - 3*a = 26. Let w = o - a. Calculate the highest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 277.6442920566?\nAnswer: -269.6442920566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 + 16.2. Let i = 127 - h. Let v = i - -0.1. Which is the closest to v? (a) -0.3 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16)\/3*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.835, 0.3, -2, 635, 2 in decreasing order.\nAnswer: 635, 2.835, 2, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1642975\/63 - 26080. Let r = -6829 - -61510\/9. What is the common denominator of x and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8472*k + 7228 wrt k.\nAnswer: -8472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -2. Let v(x) = r*x**3 + 2*x + 2*x - x**3 - 2*x - 2. What is the remainder when 9 is divided by v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l + 24. Let c(u) = 3*u + 6. Give -9*c(t) + 2*w(t).\nAnswer: -t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2331 = 5*d - 4*z + 11286, 3*d - 5*z + 5360 = 0. Round d to the nearest ten.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(3 + 508\/(-168)). Let o be (b\/4 + -1)*-10. Suppose 0 = 4*x + 5*r - 4866, -2*x - 2*r + 429 = -o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**7\/840 - m**6\/180 + m**4\/8 + 2*m**2. Let x(s) be the second derivative of a(s). Find the second derivative of x(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 24*u**2 + 63*u + 54.\nAnswer: 3*(u + 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102276, -204547, -306818, -409089?\nAnswer: -511360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0 (b) 18353\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/(-21) + -4 + 0. Let u = -4\/25 + -1\/25. What is the closest to i in u, 2, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155\/2 - -4189\/54. Let r(o) be the third derivative of 3*o**2 + i*o**3 + 1\/36*o**4 + 0*o + 0 + 1\/270*o**5. Factor r(m).\nAnswer: 2*(m + 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 2\/693, -2\/7.\nAnswer: -2\/7, 2\/693, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p + 15. Suppose 3*s + m - 4*m = -12, -3*m = -12. Calculate the remainder when 88 is divided by q(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 10*g**2 + 8*g + 2. Let q(u) = 3*u**3 - 19*u**2 - 15*u - 4. Let m(a) = -5*n(a) - 3*q(a). Is m(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7938\/8 - 1\/4. Suppose 3*c = -4*u + 957, -5*c - m - 178 = -5*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47316*l**2 - 43136*l wrt l.\nAnswer: 94632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*k - 4*j + 55, j - 22 = -4*k. Let p(x) = -7*x + 11. Calculate p(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.533*-0.2\nAnswer: -6.5066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h**3 + 1440*h**3 + 369*h**3.\nAnswer: 1774*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 2*z - 10. Let j(v) = 44*v + 753. Let h be j(-17). Calculate k(h).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -14, -40, -86, -158?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -5, 49, -3, -1.\nAnswer: -37, -5, -3, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - -35. Let o = -121 - -116. Calculate the remainder when q is divided by o + 3 + 8 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:03 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*y = -26 + 9, -3*f + 5*y + 28 = 0. Solve f = -4*s + 3*o, -4*s + 11*o = 6*o + 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*h - 0*h + 28 - 188 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6)*(-96)\/(-24). Suppose -3*k - 12 = -0*k. Let t = -28 - -138\/5. Which is the fourth smallest value? (a) t (b) 0.1 (c) k (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20380 and 28532.\nAnswer: 142660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18642 and 2901938.\nAnswer: 8705814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2670071 = 80*c - 369*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/7 + 96474696*n\/7 - 581710435518276\/7.\nAnswer: -4*(n - 12059337)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 + 4*p + 7. Suppose -z - z + 12 = 0. Let x = -20481 - -20492. Calculate the remainder when i(z) is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - (30 + (14 - 50) - (7 - 1)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -4. Let h = l - 7. Suppose p + p = h. Solve p = -f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7707637622 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-9)\/126)\/(8\/(-14)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -0*m + 4*i, 5*i = 2*m - 23. Suppose 3*q = 3*v - 33, -v = -7*q + 2*q + m. Solve 3 = 3*c - 5*u + 14, 4*u = v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0224026208 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -89, -1\/11, -0.05?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 1449, 3277, 5843, 9147?\nAnswer: 13189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -27. Let g(c) = -c + 3. Let k be g(-6). Let i = y - k. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-5)\/12) + 4. Suppose x*t - 1119 = 13*t. List the prime factors of t.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 2*d**2 + d. Let i be s(2). Find the first derivative of -1 - 10*l**i + 4 - 18 wrt l.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u + 1. What are the prime factors of v(5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-266)\/(-35) + -7)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) + 1197\/(-81). What are the prime factors of ((-36)\/s)\/(6\/80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92*(-64)\/(-94208)*20\/3)\/((-40)\/(-3)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 585726\/54 - (16\/36)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*n - 10 + 11 + 1)*(0 + 0 + 2*n) to o*n**2 + z + m*n and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**3 + i + 7. Let p(w) = 2*w**3 + 4. Suppose j - 3 = g, g - 621 = 4*j - 642. What is g*o(q) - 7*p(q)?\nAnswer: -2*q**3 + 3*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004190368 to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 7*h + 7. Suppose -548*t - 14 = -550*t. Determine u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*p - 19, 18 = 4*j + j + 2*p. Suppose 0 = -3*g + 2*g + j*b - 10, -3*b = 0. Let l be g\/55 - 19\/(-44). Put -2, -1\/4, l, 2 in decreasing order.\nAnswer: 2, l, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 92, -4\/5, -97, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0, 4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 11*i**2 + 12*i - 11. Let b be c(10). What is the lowest common multiple of 4 and 4\/(-16) + b\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -23.\nAnswer: 35\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21 - 0)*14\/567. Is a != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*q + 7*a - 8, -4*a = -16. Let k(m) = -73 + 5*m - q*m + 64. Determine k(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 13*p + 39. Let f(h) = h**2 + 2. Let w(j) = -3*f(j) + v(j). Give w(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 12*n + 42. Let x be 16\/n + -2 + -1. What is the closest to x in -1\/6, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = 0, -4*j + 16 = -2*x - 12. What is the lowest common multiple of j and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44919, -44928, -44937, -44946, -44955?\n\"Answer: -9*c - 44910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 25*v**2 + 35*v + 2. Let s(d) = -6 + 4 + 19*d - 5*d + 18*d. Calculate the remainder when s(4) is divided by g(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37836?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267 - 267 - 132*q)*(0 + 3*q**2 + 0 - 5*q**2).\nAnswer: 264*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**2 + 4*z + 57. Let h(l) = -l**3 + 26*l**2 + 57*l - 19. Let c be h(28). What is the units digit of b(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 8003548.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 142*f + 646. Determine y(39).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 7, v: 3, o: 2, z: 4}. Give prob of picking 1 e and 1 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6181 + -6180. Is v greater than or equal to 6\/329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227326 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 times 36.8856\nAnswer: -0.8483688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l + 4. Let w(b) = 20*b - 328. Let k be w(16). Let z(r) = -12*r + 6. Give k*s(m) + 5*z(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m - 3. Suppose 3*w = 3*r + 1 - 4, 0 = 5*r + 2*w + 16. What is the remainder when 24 is divided by t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -545 - -1?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114) + sqrt(114) - sqrt(114))*3 - sqrt(114))\/(sqrt(6)*-2*-3).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p - 1. Let t be 3 + (1 + -11)*1. Let k = t - -5. Calculate i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0. Suppose 5*t = -2*x + 3, 3*t = 5*x + 3 + 5. Which is the closest to -0.1? (a) j (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**2\/h)*h**(6\/17)*h)\/(h*h\/(h\/(h\/(h*h*(h*h**15\/h*h)\/h*h*h)))*h**(-27)) assuming h is positive.\nAnswer: h**(754\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 1. Let w be 153\/34*(-8)\/y. List the prime factors of (-122)\/w*(-1 + -2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -116?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 7. Let f be o(5). Suppose 2*t + f*t - 50 = 0. Calculate the remainder when 18 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5673 + -5676. Sort 2\/15, p, -0.2, -0.69 in descending order.\nAnswer: 2\/15, -0.2, -0.69, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 5. Let n(c) = 3*c**2 - 2*c - 4. Let t be n(3). What are the prime factors of q(t)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100)*2)\/(sqrt(15)\/(sqrt(15)\/sqrt(3))) + (-3*-3*sqrt(68) + sqrt(68))\/(sqrt(24)\/sqrt(6)*-4).\nAnswer: 35*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 13*g**2 - 28*g + 22. Calculate l(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -336500 to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.9 + 31. Let d be ((-6)\/10)\/((-4)\/(-5)). What is the nearest to v in -4, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -467. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 - 6*v**2 + 6*v - 7. Let x(o) = -2*o + 2*o - o - o**2 + 2*o. Let h be (-3)\/(-12)*4 + -2. Let i(b) = h*a(b) + 6*x(b). Differentiate i(j) wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 + 19*c**2 + 67*c - 330. Calculate u(6).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0)\/(-2) + 5. Suppose -9 = -y*b + 3. Let v(n) = 4 - 3*n - 5 - 3*n**3 + 5*n**b. What is v(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 548, 2\/7, 4 in decreasing order.\nAnswer: 548, 4, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*f - i + 13, -21 = -5*f + 4*i. Suppose 5*w + f*t = 340, 4*w + 3*t - 179 = 92. What is the remainder when w is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.53.\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 913 and 240 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5) + (-210)\/(529200\/16506).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 6*z)*(4 - 5 + 2) - 27 + 27 + 14*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -1805*p**3 + 4465*p**2 + 2725*p + 375 = 0. What is p?\nAnswer: -5\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)*(-1169)\/2338. Let h(p) = 3*p - 2. Let s be h(2). Suppose -c*y + y**2 + 2*y**s + 0 + 7\/2*y**3 = 0. What is y?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 12 = -13*m. Let i be (-3 + m)\/(-1 + -1). Solve 0 = -i*u - 7 - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from {k: 4, f: 15}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366 and 8174.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14489, -14461, -14435, -14411, -14389?\n\"Answer: -j**2 + 31*j - 14519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -42020, -6, -4 in decreasing order.\nAnswer: 2, -4, -6, -42020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 2*k**5\/5 + 13*k**3\/3 + 13*k**2 - 25*k. Let d(w) = -w**3 - 3*w - 3. Determine 52*d(q) + 6*m(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from ififffz.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(20\/316) + -2. Let t = w + -227\/3. Sort t, -0.1, 1\/6, -4.\nAnswer: -4, -0.1, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -368, -550, -734, -920?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 4*c + 23. Let o be u(-3). Let x be (-2*o\/8)\/(3\/(-18)). Solve 0 = -2*p + x - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6\/(-10))\/(510\/3400))\/((-4)\/14). Solve 5*o - 10 = -5*b, 12 = -a*o + 18*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i + 2. Let u be t(-5). Suppose -5*k = 4*z - u, -5*z + 18 = 4*k - 5. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38368*n - 38333*n = 1435 + 35 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/64 + -245\/704. Let d = 0 + -2. Sort d, p, 1.\nAnswer: d, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 724446 and 204408.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 + g**5 + 369*g**3 + g**2 + g + 1215 wrt g?\nAnswer: 120*g**3 + 60*g**2 + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 7, m: 9}. Give prob of picking 1 c and 1 b.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123391 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0254 (b) -13 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 3*-1*sqrt(567) + sqrt(567) - -6*(-2*sqrt(567) + sqrt(567) - sqrt(567)))\/(-1*2*(sqrt(9) + 4*sqrt(9))).\nAnswer: 39*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15841063?\nAnswer: 7, 379, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 947816247 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1539))*-5 + 5)*1 - (sqrt(133)\/(sqrt(7) + (sqrt(196)\/sqrt(4))\/sqrt(7)) + sqrt(171) + (sqrt(171) + sqrt(171) + 0)**2 + -4).\nAnswer: -675 - 97*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12560\/22220 + 3 + (-936)\/264?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.401448ml to litres.\nAnswer: 0.000401448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16238 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 14049*l + 154425. Give z(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/450 and 26\/21.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 133.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:11 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8.63 (b) -0.04 (c) 0 (d) 5 (e) -0.9 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5840\/(-14600))\/(1 - 93\/105)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7056?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (2 - 1 - -2) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:13 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 292 = 4*f, 5*b + 213 = 2*f + 49. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21782, -43567, -65352?\n\"Answer: -21785*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162897 and 4221?\nAnswer: 32742297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(612))*4)**2.\nAnswer: 13824*sqrt(17) + 354816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67334 by -3.\nAnswer: -67334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*a = a - 65, 0 = 3*t + 4*a + 25. Let w = 53 + t. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 - 10*q + 10. Let n(v) = v**2 + v + 6. Let i be n(-4). Suppose -o = 5*w - i, 0 = -0*o + 5*o + 4*w - 48. Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 + 12*m. Let n = 27 + -22. Let b be z(n). Factor 1068 + 5*t - 1068 + 5*t**3 - b*t**2.\nAnswer: 5*t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 3 - g**2 - 2*g)*(g**2 - 2*g + 2*g).\nAnswer: -g**4 + 2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-50))**(-5)\/(((y*y*y\/(y**(-5)*y)*y)\/y)**(-2\/57))**26 assuming y is positive.\nAnswer: y**(364\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 38) + 84 - 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65934\/108)\/(528\/64)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 36*m - 37*m. Let r(n) = -n**3 - 4*n**2 + 4*n. Let v be r(m). Let u be 52\/5 - (-24)\/(-60). Solve 5*h = -a + 14, v*a + 4*h + h - u = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 3102223230331?\nAnswer: -3102223230231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -60*l + 298. Suppose 3*i - 204*n = -201*n + 21, -4*i = -n - 22. Calculate d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 42*m**3 + 152*m**2 + 183*m + 72.\nAnswer: -(m - 8)*(m + 1)**2*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 623072486 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/5, 3, 10.787, -0.14, -1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 24. Suppose -311 + 1 = -47*x + 113. Calculate the least common multiple of x and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 109, -2, -7, 5154?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, 734490.\nAnswer: -22, 3, 734490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 9*u**2 - 7*u - 15*u + 20*u - u**4 as n*u**4 + t*u**2 + l*u**3 + g + f*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f + 0*f + 2*f. Let d(m) = -m**2 - 16*m - 1. Let j(k) = -2*d(k) + 9*w(k). Let x be j(2). Solve -x*c + c = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -80353\nAnswer: -1\/11479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 40, 0, 1.\nAnswer: -3, 0, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800562019?\nAnswer: 73, 10966603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 14*s - 4*s)*(-336*s - 48*s + s - 194*s + 74*s).\nAnswer: -6036*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 6*g**3 + 0*g + 2*g - 5*g**3 - 2*g**3 to y*g + s*g**3 + z*g**2 + q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 5\/(5*8\/272)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21486885 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2454897038 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -51, 2\/5, -15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20248 and 15186?\nAnswer: 60744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 0.02. Let o = q + -0.04. Which is the nearest to o? (a) -1 (b) 4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1751, 1729, 1649, 1481, 1195, 761, 149?\n\"Answer: -5*x**3 + x**2 + 10*x + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 22*v**4 + 105*v**3.\nAnswer: v**3*(v - 15)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.3748 less than 0.1?\nAnswer: -209.2748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*l + 2887*c**3 + 7*c**2*l + 1392*c*l - 71*c wrt c.\nAnswer: 18*c*l + 17322*c + 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, e: 1, b: 4, r: 2, f: 4, h: 1}. Give prob of picking 1 o, 1 b, and 1 f.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3674435 microseconds?\nAnswer: 367.4435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378173347.\nAnswer: 769, 1792163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 38. Suppose z = v - 28. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/2 - 0 - (4 - 11). Suppose -4*i - 28 = -5*h - 6, -r*h = -2*i - 16. Let n(d) = -h + 4 + d - 12 + 0. Give n(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.82 - 1.704. Let m = p - -0.284. Let l be 1\/2*4\/3. Which is the second smallest value? (a) 4 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(75))\/(-6*(sqrt(6) + sqrt(6)*2)).\nAnswer: -sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1344240571\/960 - 1400251. Let n = c - -1\/192. Which is smaller: n or 2\/77?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*q = -2*o - 9, 0 = -4*o + 4*q + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from fjqcjqnknjn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3534*c**3*k**2 + c**3*k - 232*c**3 - c**2 + 28869755*k**2 wrt c?\nAnswer: 21204*k**2 + 6*k - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2057251 - 6?\nAnswer: 2057243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25830 is divided by 12293.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.4, -3\/2, -0.2, -2\/11, -3.62?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*sqrt(1573)*-6 + sqrt(1573) - (-3 + -3*sqrt(1573) + sqrt(1573) + sqrt(1573))))**2.\nAnswer: 76032*sqrt(13) + 57987396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4241*a**5 - 4463*a**5 - 168*a - 39*a wrt a.\nAnswer: -4440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/88 and 25\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536292 is divided by 134052.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*d**3*z + 952*d**2*f + 2*d**2*z - 3*d*f*z - 37*d*f + 28*d - 7 wrt d.\nAnswer: -150*d*z + 1904*f + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 1329*z + 71294. Let w be i(-56). Suppose -c + 4*h = -18, 5*c - 175 = 5*h - 2*h. Calculate the highest common divisor of w and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105973093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 586950 divided by 6.\nAnswer: 97825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 17*a**2 - 6*a - 91. Let d be h(-17). Suppose -10 = -d*s + 12. Solve 0 = -2*v - s*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -305\/3 + 3373\/33. Let p(z) = 2*z**3 + 13*z**2 + 6*z + 3. Let d be p(-6). Find m, given that -6\/11*m**d + 6\/11*m + l - 6\/11*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7453 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: Divide -149 by 669.\nAnswer: -149\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3204 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2 = 2*p, -11*p + 5*x = -15*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(104) - sqrt(26))\/sqrt(2)*-4*5.\nAnswer: -2 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*t = 72*t + 6. Put t, 1, 8\/5 in ascending order.\nAnswer: t, 1, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**2 + 17*i**2 + 31*i**2 + 17*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 5*m + 3*m + (3 - 3 + 2)*(-2*m + 4*m - 4*m) - 2 + 2*m + 2 + m + 4*m - 6*m - 5*m + 2*m + m + (-1 - 1 + 1)*(1 - 1 - m) - 4*m + 4*m - 2*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m + 38. Let b be l(-4). Let p be (-2)\/b*0\/5. Solve 0*z + 3*x - 35 = 5*z, -5*z - 2*x - 10 = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5148824 and 123114?\nAnswer: 1096699512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1470*n + 1466*n + 2 - 2.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-176)\/(-396) + (-256)\/90. Which is bigger: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/13)\/k**(3\/4))\/(k**(-16)*k**3) assuming k is positive.\nAnswer: k**(641\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d + 82*d + 78*d - 131*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 235. Let q be (-467)\/(-9) - (-5)\/45. Is 2 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2991*b + 20401 - 43962 - 63178 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932100 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -486266, -972548, -1458846, -1945160, -2431490, -2917836, -3404198?\n\"Answer: -8*x**2 - 486258*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -4, 0.5, 2\/5, 0.082 in decreasing order.\nAnswer: 3, 0.5, 2\/5, 0.082, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 737 or 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 3)\/(24\/32). Suppose 0*y - 5*y = k*s - 10, 5*s + 2*y - 4 = 0. Suppose -15*t + 37 + 53 = s. What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 926006081.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/997, 2, -1\/3, 27 in decreasing order.\nAnswer: 27, 2, 2\/997, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 1 + 3. Let r(a) be the first derivative of a - g + 0*a**2 + 2\/3*a**3. What is the first derivative of r(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:09 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/20*2*(-3)\/9. What is the second biggest value in -5, 1\/4, j, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q. Let l(i) = 6*i**2 - 13. Let p(v) = v**2 - 2. Let y(a) = 6*l(a) - 39*p(a). Determine y(k(t)).\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 1157097340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*z**(1\/7)*z)*z*z**(-1\/5)\/z)\/(z**(-7)*z**(-1)))**(-5\/2))**(4\/29) assuming z is positive.\nAnswer: z**(-396\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 9\/(-3) - 19. Let y = -16 - d. Let a(g) = g**2 + 2*g + 6. Let c be a(y). What is the highest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -0.022, 0.4, -0.22 in decreasing order.\nAnswer: 2, 0.4, -0.022, -0.22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 20. Suppose k = -5*i + 14, -3*i - 2*k - 1 = -15. Sort i, -1, c in descending order.\nAnswer: i, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1 + -2)*-2*4. Let v(c) = 3*c - 13. Let p be v(x). Suppose -m = -163 - p. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163138193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, 5, 2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10240.5292 rounded to the nearest ten?\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19671984 is divided by 184.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:39 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 2 (c) -8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 5 (c) -27 (d) -0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 129577 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82667533.\nAnswer: 13, 489157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r**2 + r - 2. Let h(d) = -1. Let c = -13 - -15. Let k(i) = c*h(i) - p(i). Calculate the remainder when 20 is divided by k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g - 9. Let i = 9 + 2. What is the lowest common multiple of 11 and g\/9*(i + 1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*d**5*z**2 - 2*d**2*z**2 - 21*d*z**2 - 2*d wrt d?\nAnswer: -3180*d**3*z**2 - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a6 (base 12) to base 14.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q - 8*q - 26*q + 4*q.\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u**2 + 2)*(-4*u**2 - 2*u**2 + 3*u**2) + 79*u**4 + 40*u**4 - 3*u**4.\nAnswer: 122*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 9*i - 93 = 0. Let w = i + 33. Suppose a + 3 = w. Sort a, -2\/5, 3\/4.\nAnswer: a, -2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*l - 10, 8*b - 3*b + 3*l - 7 = 0. Calculate the smallest common multiple of 50\/12 - (-19)\/(-114) and (-1 - b\/(-3))\/(13\/(-2652)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13241 - 3035731975.8\nAnswer: -3035745216.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 9. Suppose -g - 2850000 = -z*g. Round g to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 19, 61, 121, 199, 295?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 5*c**2 + 5*c**2)*(4 - 2 + 3 + (-2 + 7 - 2)*(-2 + 1 + 0)).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -414*h + 420*h. Calculate the least common multiple of h and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k\/k**(-1\/2)*(k\/k**(-2\/3))**(3\/5) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 511426660 to the power of 1\/2, to the nearest integer?\nAnswer: 22615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 28*y**2 - 2*y + 56. Let l be q(28). Solve l = -3*p - 2*p + 5*t + 5, 0 = 5*t - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3300)\/(-180)*57\/95.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 25616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5072 + 4*l + 5072. Let s(x) = 2*x. Let j(c) = 2*m(c) - 3*s(c). Let b(o) = 210*o**2. What is j(b(n))?\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032476 is divided by 373.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v + 7*b + 17, -5*v = 4*b + 29. Suppose k - 1 = 2*k. Sort k, -3, v in decreasing order.\nAnswer: k, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 35*i - 39*i. Let d = -21 - -13. Let k(l) = -l**3 - 5*l**2 - 5*l - 16. Calculate the least common multiple of k(d) and i.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66776609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -196*g**3 + 28*g**2 + 56*g + 934. Let a(m) = -31*m**2 + 3*m + 3. Determine 56*a(k) - 3*w(k).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 116*h. Let f(j) = 5*j**2 + 6*j. Let s(r) = r**2 + r. Let n(v) = -f(v) + 6*s(v). Give n(g(z)).\nAnswer: 13456*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 13. Let k = 47 - v. Let q = -26 + k. Calculate the highest common divisor of 88 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 5*x**3 + x**3)*(3 + 0 - 4) - 4*x + 4*x + 2*x**3 - 4*x**3 + 2*x + 2 + x**2 - 2 + (-x + 1 - 1)*(-5*x**2 + 4*x**2 - 6*x**2).\nAnswer: 4*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32\/7 in 1\/4, -6.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:00 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -299, -602, -901, -1190, -1463, -1714?\n\"Answer: h**3 - 4*h**2 - 298*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -15. Let y(d) = 3*d**2 - d + 1. Let u be y(1). Suppose -u*r - 2*r = -30. Calculate the remainder when r is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 264, 278, 292, 306?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 38*o - 22. Let a(f) = 30*f - 21. Calculate 4*a(r) - 3*z(r).\nAnswer: 6*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-3 + (2 - 3)). Let f(k) = -2*k. Let g be f(d). Is 0*g\/6 + 46 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/6 + -2)*(104\/6 + -32)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {b: 6, e: 5, i: 7, w: 1}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16146287.\nAnswer: 1619, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 17 = 3*w, -2*a + 3*w - 35 + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 10. Let y = -14 - -26. Calculate the least common multiple of y and v(8).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75318 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -189422 (base 10) in base 16?\nAnswer: -2e3ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -368*i + 573. Let y(a) = -1130*a + 1720. Let u(p) = 17*f(p) - 6*y(p). Differentiate u(m) wrt m.\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*l**3 + 363*l**3 - 78 + 108 - 30 - 164*l**3.\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 58 + 8. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*40\/(-176)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 2*t + 1. Let u = -108 + 114. Let x(g) = -4 + 6*g**2 - 6934*g + u + 6941*g. Calculate -2*x(p) + 7*y(p).\nAnswer: 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 2. Let j be ((-6)\/(-12))\/((-2)\/20). Let q(d) = -2*d - 2. Calculate j*c(f) + 6*q(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178020 and 11270?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0 + 1\/30*b**5 + 0*b**6 - 1\/105*b**7 - 2*b**2 + 0*b**4 + 0*b + 0*b**3. Factor n(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*v - 5*v + 12, -4*g = -8. Let q(l) = 0*l**2 + 2*l - l + l**v. List the prime factors of q(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -i - 4*i - 3, 9 = i - 4*a. Let n be (-160)\/(-6) - 1\/i. Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271129462 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30281 is divided by 1780?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvnc when four letters picked without replacement from {j: 4, v: 1, n: 10, c: 3}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214.5 - 214.6. What is the smallest value in 1\/2, -57, h, 5?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 40. Let g(h) = -h + 1. Let u(q) = d(q) - 6*g(q). Let f be u(-5). Solve -2*o = -5*s - 12 - f, -o - 3*s - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 3. Calculate the remainder when f(-5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -48?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 292, 439, 586?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 5, h: 4, u: 3}. Give prob of picking 2 u and 1 r.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -157 (b) 0.1 (c) -9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6 = 3*t - 2*a, t + 5*a - 14 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b - -14?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/7)*l**(1\/4)*l**(-3\/7)*l*l**(-4) assuming l is positive.\nAnswer: l**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 2*w**2 + 6. Let u(q) be the second derivative of q**2\/2 - q. Give -b(o) + 3*u(o).\nAnswer: 2*o**3 + 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052132 minus -107.95?\nAnswer: 107.897868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 28, 43, 64, 91, 124?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**3 + 157*q + 485. What is the remainder when c(-3) is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*g - 636*g + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 75, 26, 1, 2, 269 in increasing order.\nAnswer: 1, 2, 4, 26, 75, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, -18, -52, -110, -198?\n\"Answer: -a**3 - 3*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48986613, 97973217, 146959821, 195946425, 244933029?\n\"Answer: 48986604*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 117*j**2 - 3480*j + 3364.\nAnswer: -(j - 58)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205112832, -410225663, -615338494?\n\"Answer: -205112831*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -2.01. Let n = 0.01 + v. Let u = n - -0.7. Which is bigger: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/8 - (-1)\/(-4). Let u(a) be the third derivative of a**4\/4 + 28*a**3\/3 - 38*a**2. Let v be u(-9). Solve 2*s = k, -v = 2*j - j - s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -39*x - 934. Let u be v(-24). Put 7, u, -6 in descending order.\nAnswer: 7, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*i + 267*n = 266*n + 2321, -6*i - 4*n = -72 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by 207.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - x + 1. Let i be f(1). Let h be (-100)\/i + 1\/3. Let v = 135\/4 + h. Calculate the common denominator of v and 25\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 29 = 3*n - 4*q, -2*n - 13 = 5*q. Let u = 1 + n. Let p = 13 + u. Calculate the remainder when 13 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-97605)\/(-147))\/((-1)\/(-2)*-2). Let t = j + 664. Suppose -2*q = k + 3, 5*k - 3*q + 1 = k. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500747.\nAnswer: 2500747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3 - 3*f**2 + 4 + 4*f**2 - f. Let b(v) = -v + 3 + 4*v**2 - 3*v + 1 + v**3. Give -b(o) + 4*c(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 59, 100, 157, 230, 319, 424?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -7353, 78 in descending order.\nAnswer: 78, -85, -7353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -0*s, 0 = -z + 3*s + 39. Suppose 4*p = l - 28, -p - z = -l - 4*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let i(w) = w - 1. Let r(k) = 3*k - 4. Let h(b) = -4*i(b) + r(b). Let p(c) = 4*h(c) - z(c). Let m(x) = -x. Give m(p(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 468*43629\nAnswer: 20418372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 9*h + 8. Determine o(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18610211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2345 by -110703.\nAnswer: 2345\/110703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 13 - 3*g + 4.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*m + 30, 370*m - 372*m = 5*q + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from vvmxvvx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83888 is divided by 536.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383529 is divided by 181?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let w = 25 - n. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -m + 4*m + 2868, 4*b + m = 2308. Let i = 607 - b. Calculate the remainder when 154 is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*f + 100*f - 1960 = 0. Calculate the highest common factor of 56 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 19089792*v + 182210079301632.\nAnswer: (v + 19089792)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 + 3*r - 2. Let w be d(-4). Suppose w*z = -12*z + 336. Calculate the greatest common divisor of z and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 10. Let v be z(8). Suppose 0 = v*k + 2*k + 2*h - 68, 85 = 5*k + 4*h. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiaaaaaaaiai. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17084 is divided by 8536?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 - 2*x**2 + x - 3. Let u(h) = 5*h**3 - 3*h**2 + 2*h - 4. Let k(v) = -4*n(v) + 3*u(v). Determine o so that k(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 10516*g - 10676*g + 299, 5*m = -5*g - 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-24) + 359\/3. Suppose 4*o - 33 = -5*v + 51, 5*v - 5*o = c. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 - -170. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Let t = -724 - -501. Let u = -222 - t. Which is the closest to 0.1? (a) -1\/2 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 2}. What is prob of sequence fll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 161\/69*(-1)\/21*-3. What is the nearest to 0 in 1, 1.1, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3570486.\nAnswer: 2, 3, 595081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5960138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135246 - 135186. Calculate the smallest common multiple of 18 - (0\/(-1))\/(-1) and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f + 4489 - 1107 = -116*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3\/5, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10412331 - -33?\nAnswer: 10412414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2 + 10836192*x - 10836189 = 0.\nAnswer: 1, 3612063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 214 + 412 - 2*b - 206 in the form x*b + d and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164529*f*q**3 - 2*f*q**2 - 26*f - q**3 + 9*q**2 - 436*q + 389 wrt f?\nAnswer: 164529*q**3 - 2*q**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-1 + 2))*-6. Suppose 0 = -5*r - 0*r + 20. Suppose 3*g - 4*v = 92 + 264, -479 = -r*g + v. What is the greatest common factor of g and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 20*v - 149. Is i(36) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-22 - (-27 + (-22 - -22)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 8. Let k be t(-12). Suppose -5*g + 12 - k = 2*x, -8 = -2*x - 3*g. Let y be x*6\/(-12)*-1. Solve -12 = 2*s - 5*s + 3*q, 0 = -y*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9217 is divided by 1841?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-14))\/(q*(q**35*q)\/q*q))\/((q\/(q*q**(-7\/5)))\/((q**22\/q)\/q)))**(-1\/8) assuming q is positive.\nAnswer: q**(17\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40528579\/11 + -3688026. Let d = 3606 + p. Let w = 20\/189 + 1\/27. What is the common denominator of w and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*i + w, 3 = i + w - 4. Let g(p) = 6*p + 2. Calculate the lowest common multiple of 6 and g(i).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b581 (base 13) in base 12?\nAnswer: -81216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2287, 4605, 6945, 9313, 11715, 14157?\n\"Answer: j**3 + 5*j**2 + 2296*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 32 = -14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - (25 - 43)) + -46 + -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*t + 3. Suppose t*g - 3*g = -o + 7, 2*g = 5*o - 26. Suppose 0 = -4*k + 20, 3*k - 35 = 5*j + k. Put o, -4, j in ascending order.\nAnswer: j, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5)**(-3)*(z*z**(-2\/9)\/z)**40 assuming z is positive.\nAnswer: z**(-242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767480963?\nAnswer: 17, 45145939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 15) in base 3?\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/4441 and 19\/3.\nAnswer: 13323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 526897517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663\/176 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from {v: 5, d: 1, p: 1, u: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -22*d + 3. Suppose d = -21*n + 12*n + 765. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6*c = -3 - 131, 2*y = 4*c + 92. Sort 3, 0, 2, y, -1.\nAnswer: -1, 0, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 83*i**3 - 2. Let p(f) = -12285*f**3 + 297. Determine -2*p(s) - 297*w(s).\nAnswer: -81*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22a850a - 0?\nAnswer: -22a850a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -986 - 332355.\nAnswer: -333341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(1 - -2)*-3. Let d = p - 3. Suppose -4*m + 24 = 4*b, 2*b - 5*m + 9 = -d*m. Solve 0 = b*c - 2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m = 4*g - 14*m - 84, -2*g + 3*m + 47 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/30 + 721\/105. Let t be 4\/((-4)\/(-1))*w. Suppose -t*j - 1650 = -4*j. What is j rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28407668 + -19466768. What is w rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5744 + -3325. Suppose 0 = -5*u + m + 15, u - 1 = m + 2. Suppose -3*w + 2*l = -r, -7*l = -4*l - u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-1188)\/(-4))*(-12)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3 and 26\/265.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most -1677\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12*i**3 - i**2 + 1. Let o be w(-1). Let d be 2\/(-5) - o\/(-5). Solve d*t + 0*a = a - 6, -4*t - 18 = a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t + 3 = 0. Let x be 1\/(0 - t\/481). Suppose 0 = 3*n - 536 - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35230 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15913 < -7.176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**6\/36 + x**5\/30 - x**4\/12 - 30. Suppose b(z) = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s**3 - 5*s**2 - 4*s + 1. Let q = -860 + 859. Calculate c(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*a + 1 - 56*a - 1 to k*a + d and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:16 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3307*q + 0 - 3156*q + 1 + 6501*q.\nAnswer: 38*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4120910363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -3 (c) -0.05 (d) 4\/5 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35045 is divided by 366?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157090669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41409 and 76077?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 1387052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.314 + 23.2482. Let g = 0.0542 - s. What is g rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - f + 108. Let w be p(6). Let s(c) = -4*c - 6. Let q be s(-7). Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/144, -0.3, -0.88?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = 6*g. Let r be (0 - 1) + (1 - g). Solve 0 = 2*l + t - 1, -r*l = 4*t + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 3*f + 1. Let b be 8 + 2\/(-1) + -2. Suppose 0*o + 6 = 5*w + b*o, -3*o = -2*w + 7. Determine r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/(-50) - (-9)\/(450\/5285) is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -66?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)*16\/(-8). Suppose -2*k + 202 = -5*z - 1817, 0 = 2*z + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Let d be 3\/((1575\/(-10))\/(-7)). Sort d, 0.02, c in decreasing order.\nAnswer: c, d, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 5*r - 4, -22*r + 6 = 3*a - 19*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -58.6. Is a > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 12 - -9 - (6 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 3. Let p be (-290)\/35 + (-6)\/(-21). Let h(d) = -41*d + 23. Let g(y) = -21*y + 12. Let r(c) = 7*g(c) - 4*h(c). What is p*k(j) - 3*r(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-10 - 0 - (-26 - -14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 - 4\/5*j**3 + 4\/5*j + 2\/5*j**4 + 0*j**2.\nAnswer: 2*(j - 1)**3*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 5*m + 2*m)*(-2*m**3 + 1 + 7 - 1).\nAnswer: -2*m**4 + 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 5, b: 11, s: 1, h: 1, d: 2}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(4 + ((sqrt(9) + sqrt(144))\/sqrt(3) + sqrt(3) - sqrt(75)*4)))**2.\nAnswer: -2940*sqrt(3) + 15141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.00016 * 4\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.09 - 0.09. Let s = 162 - 160.8. Which is the second biggest value? (a) 0.5 (b) s (c) -0.2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*z**3 - 16*z**3 + 13*z**3 + (-z**2 - 2*z + 2*z)*(3*z - 7*z - 2*z).\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-189)\/48 + 4). Let k be (135\/g)\/((-3)\/(-4)). Let -6*i**4 - k*i**2 + 12*i**3 + 3\/2*i + 0 = 0. Calculate i.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - -0.2. Suppose 0*l + 88 = 4*l. Let w be -1 - ((-36)\/l)\/2. Sort w, r, -3\/7 in decreasing order.\nAnswer: r, w, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6f79 (base 16) to base 15.\nAnswer: 86c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.92? (a) 3\/4 (b) 5 (c) 24\/1105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1110000001111100111 (base 2) to base 12.\nAnswer: 1a2087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2986 - -22290. Let y = c - 10863. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 2*b**2 - 4*b + 14*b**4 - 15*b**4 - 4 as d*b**3 + p*b**2 + c*b + x + f*b**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 + 11. Let b = -1.4 + i. Let l = 0.3 - -0.7. What is the smallest value in l, 4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1666 (b) -3\/7 (c) 10 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256 - 241. Let h(k) = 5*k**2 - 34*k - 3. What is the units digit of h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 345 = 4*w, -k - 4*w = -3*k + 126. Let c = k - 28. Suppose -c = -2*j + 17. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -12. Let j = s + -12. Suppose j = r - 2, -3*u + 2*r + 40 = u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -67, -182, -343, -550, -803?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u. Let l(a) be the first derivative of -77*a**2\/2 + 1108. What is l(g(m))?\nAnswer: 154*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 794641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 1521 = -5*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.419 - -11.919. What is the nearest to 0 in -367\/3, 1, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from qqqqvqqqjtqqqvqt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1)**2 + 1 + ((1 + sqrt(3))**2 - sqrt(3)) + sqrt(3).\nAnswer: -22*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -38. Suppose 0*s - 2*s = -4*b + 24, s + d = -2*b. Let a = 34 + s. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-3 + 4) - (-1 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 + 5*u - 1. Let p be 4\/(2\/(-1) - -3). Calculate k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*n + 4*n. Calculate the greatest common factor of 230 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 206, 420, 660, 938, 1266, 1656?\n\"Answer: 2*w**3 + w**2 + 197*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 5, i: 1, l: 2, g: 7}. What is prob of picking 2 l and 1 y?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 63 = h, 54*h - 52*h = -4*g - 48. Which is greater: -35 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 106 - 11*v - 68 - 57. Is 7 a factor of y(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 5, c: 4}. What is prob of sequence xx?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcppcpucucpoupcuco. What is prob of sequence pc?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24402541?\nAnswer: 47, 167, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -55. What is the greatest common divisor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 - 4791*p**2 - 33666*p - 28872 = 0. Calculate p.\nAnswer: -6, -1, 1604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvmziums. Give prob of sequence mmu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -13. Let u = 7 + o. Let d be (4\/5)\/(2\/10). Solve u = -4*m + t - 10, -m - 2*t = d + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 978, -1 in ascending order.\nAnswer: -1, 10, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41649909 + 408\nAnswer: 41650317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2*n**3\/3 + 48*n**2 - 94*n - 1708. Factor j(z).\nAnswer: -2*(z - 47)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-52))\/(638\/(-44)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 28 - 8 - 52*p**2 + 52*p**2 + p**3 in the form u + k*p**3 + x*p**2 + r*p and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13399, -13337, -13161, -12811, -12227, -11349, -10117, -8471?\nAnswer: -6351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165 - 11631 - 57490 = -3752*w + 27266 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -10 + 2\/5*t**5 + 0*t - 2\/3*t**3 + 0*t**2 + 0*t**4. What is the third derivative of o(z) wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 9) to base 2\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*j + 91 - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -2. Let p(d) = -d + q*d - 3*d + 3*d**2. Let n(a) = -a**2. Calculate p(n(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {l: 6, m: 7, f: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001283165 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 164 * -24\nAnswer: -3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*c + 128*c + 139*c - 879*c.\nAnswer: -949*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 482195*j*s*t**2 + 2*j*s + 4*j + 2045*s + 33*t**2 - 17 wrt t.\nAnswer: 964390*j*s*t + 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 + 212*o**3 + 3076*o**2 + 5388*o - 49896 = 0. Calculate o.\nAnswer: -27, -22, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4242717 divided by -1797?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 9*t**2 - 4*t - 19. What are the prime factors of y(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most 1689305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10051 (base 7) in base 12?\nAnswer: -14b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*j = 487*j + 7. Solve 0 = j*f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.031 + -0.509. Let u = x - -0.04. What is the second biggest value in 2, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202788094?\nAnswer: 2, 2797, 36251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 20\/3*b**2 + 16\/3 - 32\/3*b - 4\/3*b**3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112*55\/(-135520)*24\/(-3)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 2*q. Let u = 6 - q. Suppose -u = -4*t + 3. Solve 0*a - 2 = -t*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -7. What is the second derivative of 4*s - 2*s**3 + z*s - 14*s + 2*s wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**3\/4 - 57*i**2\/4 - 111*i\/4 - 63\/4.\nAnswer: -3*(i + 1)*(i + 3)*(3*i + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796723415.\nAnswer: 5, 159344683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -517000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593021.\nAnswer: 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3173 and 2170199?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295 + 289 - 874 + 290 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2371 + -4759\/2. Find the common denominator of t and (-127)\/(-12)*(-6 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 + 102*l**3 + 105*l**2 - 206*l = 0.\nAnswer: -2, 0, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(6\/4 + -1). Let s = 313 + -310. What is the third derivative of 6*a**2 + 2*a**6 + s*a**n - 2*a**2 wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-392)\/(-28224))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24370421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10100207 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581, 535, 489, 443?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*h - 79 - 55, 132 = -2*g - 4*h. Let j = g + 103. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32639 - -400?\nAnswer: 32a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 9) to base 3\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 8*o**2 - 8*o + 4. Let c be i(9). Suppose -3*t = -c - 8. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 32\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = r + 1, 4*r + 13 = 2*i + 1. Let t(f) be the third derivative of 0*f - 1\/12*f**4 - 3*f**2 - 1\/15*f**5 - 1\/120*f**6 + 0*f**3 + 0. Calculate t(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835251285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - -207. What are the prime factors of p?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(0 + 4 - 6)*(-4 - 4 + 4)*(0 - 2 + 1 - 3 - 1 + 3 + (4 - 2 - 3)*(-1 + 0 + 2) + 2 - 2 - 1 + 3 - 4 + 3 - 3 + 2 + 4)*(-4*s + 4*s + 2*s).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 6*u + 2*b, -6 = 2*b. Solve 5*w - 4 = -u*z + 3*z, 0 = 5*w - 2*z - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2457199, -2457197, -2457195, -2457193?\nAnswer: -2457191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-12759012.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-825)\/(-440))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 5429881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3333464 divided by -16\nAnswer: -416683\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 + 317 - (11 - (0 + -2))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44950495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 4*q + 5*q + (3 - 4 + 5*q + 0*q)*(2 - 3 - 1)*(872 - 252 - 334 - 2 + 0 + 4 + (0 - 2 + 0)*(-3 + 2 + 3) + 1 + 0 - 3) to the form h + o*q and give h.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36\/7? (a) -76 (b) -0.2 (c) -0.06 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27560623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000408687316 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-32 - -34) + (-2 - -12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1551 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(85) + (sqrt(85) - 3*sqrt(85))) - sqrt(85)) + (sqrt(85) - (sqrt(85) - sqrt(85)*-1))*-6)\/((sqrt(6480) + sqrt(6480)*1)*1).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/865 - -781\/3460. Suppose 16 = 3*x + f, 4*x + f - 2 - 19 = 0. Solve 1\/4 + n*u**x - 1\/2*u**2 + 1\/4*u**4 - 1\/2*u**3 + 1\/4*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76993.9 + 166.46553?\nAnswer: -76827.43447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 - (4 + -4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -5. Let a(h) = -5*h + 2. Let u(w) = -11*w + 4. Let b(o) = q*u(o) + 13*a(o). Let v be b(9). Solve -3*s + 2 - v = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 337 - 337.0305. Let a = -1.9695 + v. Let q = -0.2 - 0. Sort 2\/7, -5, q, a in decreasing order.\nAnswer: 2\/7, q, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 - (-2 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -233544480 to the nearest 1000000.\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11730533?\nAnswer: 2753, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 50*a + 218. What is t(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -393 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 2*v**3 - 4*v**3)*(3 - 17 - 11)*(3*v - v + 0*v).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696095695, 696095697, 696095699, 696095701?\nAnswer: 696095703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 4*a**4 - a**4 + 2*a**4 + 0*a**4 - 5*a**4 + (-2*a**2 - 1 + 1)*(0*a**2 + a**2 + 0*a**2) + 155*a**4 + 4*a**2 - 157*a**4 + 2*a**2.\nAnswer: -8*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 2*r**4 + 504*r**2 + 3*r**4 - 517*r**2 + 2*r - 2 - 5*r**3 to p + s*r + k*r**3 + y*r**2 + b*r**4 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121121 + 0?\nAnswer: 2121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -283 + 269. Sort 5, -3, y in descending order.\nAnswer: 5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1 - 39\/(-30)). Solve -2*a - 4*z = -2*z - 12, 0 = 4*a - 3*z - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 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: b\"What is the tth term of 403, 1838, 4229, 7576, 11879, 17138?\n\"Answer: 478*t**2 + t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 247, 8\/45, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -3. Suppose -n = -2*j - 4. Let i = -7 + 9. Solve g - j = -i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 - 11. Let z be n(5). Does 34 divide ((-120)\/z)\/(3\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -91, -123, -163?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 13*x + 12 = 0, 0 = -5*p - 2*x + 2159. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 158*f = 160*f + 10, -8*l = 5*f + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -185927, -371853, -557779, -743705, -929631?\n\"Answer: -185926*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45629436.95 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*(sqrt(39) - sqrt(1911)))\/(sqrt(3)*-3*-5).\nAnswer: -6*sqrt(13)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1865*d**4*r - 2*d**4 - 9*d**3*u - 17*d**2*r*u - 7*d**2*r + 4*d*r*u + d + 19*r*u - 2*u wrt d.\nAnswer: 44760*d*r - 48*d - 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/56 and 32\/141?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.0625?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*c**2 - 32*c**2 + 13*c**2 + 2*c**2 - 4*c**2 + 4*c**2 + (2*c + c - 4*c)*(-2*c + 2 - 2) + c**2 + 1 - 1 in the form d*c**2 + y*c + k and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137159\/20 + 6858. Let v(l) be the second derivative of -11\/12*l**4 + 35\/6*l**3 - 25\/2*l**2 + 0 - 41*l + j*l**5. Suppose v(f) = 0. What is f?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*r - 38*r = 467 + 1129 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + u**2 - 17*u + 75. Let b(c) = -c**3 + c**2 - 9*c - 1. Determine 2*b(y) - z(y).\nAnswer: y**3 + y**2 - y - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17391344 to the nearest integer?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from kknnnkn.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/60 + o**4\/6 + 7*o**3\/3 + 29*o**2 - o. Let u(n) = -2*n - 7. Give 5*u(d) + 2*v(d).\nAnswer: 2*d**2 - 2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45\/4 - 35\/4. Let r(d) be the first derivative of 1 + d**4 + o*d**2 + 0*d**3 + 5*d. Let m(j) = 6*j**3 + 7*j + 7. Give 5*m(y) - 7*r(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2258, -0.0752, 13, 5, 4 in descending order.\nAnswer: 13, 5, 4, -0.0752, -2258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-7)\/(-147)*-3)\/(16\/(-1288))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 4, u: 7}. Give prob of picking 3 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 3\/4 (c) -16.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2442*m**4 + 19934*m**2?\nAnswer: -58608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 128 = -5*a + 2*i, 2*i + 56 = -a. Let w = a + -72. List the prime factors of (8 - 5 - 1)*w\/(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. What is the derivative of 0*d**3 + y*d**3 - 14*d**2 - 20 + 14*d**2 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**2 - 8*w + 4*w - 6*w**2.\nAnswer: -2*w*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4*-4*-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 22*q**2 + 3. Let j(t) = 162*t + t**2 + 154*t - 316*t. What is i(j(k))?\nAnswer: 22*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Let y be 1\/1 + d - 2. Let c = -33 + 38. Put 1, c, y in decreasing order.\nAnswer: c, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -9. Let g be 184\/40 + j*2. Factor g*r + 3\/5*r**4 + 9\/5*r**2 + 9\/5*r**3 + 0.\nAnswer: 3*r*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75825*g - 75592*g - 12349 = 0 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 25. Suppose d + 28 = 4*x. Suppose 0 = -3*l - x, 4*g - 4*l - 2 = 6. Let v(w) = -3*w + 1. Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 2. Let p = -2.3 - -2.4. Which is the closest to p? (a) w (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/362682060 and 43\/22318896.\nAnswer: 1450728240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqx. Give prob of sequence qxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 10*x**2 + 14. Let l(j) = j + 10. Let d be l(0). Is 7 a factor of p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*v - 20410 = -43981 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Let x(r) be the second derivative of -2*r**3\/3 - 18*r. Let t = -10 - -17. Let u(k) = -3*k. Let s(a) = t*u(a) - 5*x(a). What is s(z(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -666, -0.6, 0, 2\/9 in decreasing order.\nAnswer: 2\/9, 0, -1\/11, -0.6, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59870, 119227, 178584, 237941, 297298, 356655?\n\"Answer: 59357*t + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4)**(-18)\/(n*n*n\/n**3)**(15\/8))**29 assuming n is positive.\nAnswer: n**(-2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/21 - 11*a**4\/24 - a**2. What is the second derivative of k(u) wrt u?\nAnswer: 320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12029754 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.999424 - 44. What is k rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 243, 203, 163?\n\"Answer: -40*s + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -162. Which is the nearest to -0.3? (a) -0.5 (b) 0.05 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 7:25 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - -3*sqrt(500))*-4.\nAnswer: -160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**4 + 0*k**3 - 20*k**4 + 7*k**4 - 2*k**3 - k to w*k**3 + h*k + u*k**4 + r*k**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*r + 35, 2*r - 25 = -4*j + 5*r. Let x = -73 + 437\/6. Which is the third smallest value? (a) 3 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let q = -337 - -16849\/50. Is q greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**34)**11*(x*x**(-31)\/x*x*x)**(-12) assuming x is positive.\nAnswer: x**722","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, x: 9, h: 4, z: 2}. Give prob of sequence zh.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41905.01 microseconds in nanoseconds?\nAnswer: 41905010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*1 + 0 - ((sqrt(98) + 1)**2 + -4).\nAnswer: -95 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**8\/x)\/x)\/x)\/x**(-2\/5))\/((x\/x**(-1))\/x**(-5)))**(3\/4) assuming x is positive.\nAnswer: x**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1922)\/248 - (-6 + -1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + 1 + 2 - 4 + (2 - 3 + 2)*(2 - 2 - 1))*(-3 + 3 + 3)*(-2*t**5 + 5*t**3 - 5*t**3).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2419872 divided by -4?\nAnswer: 604968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42512.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 11*b**2 + 9*b - 24. Let q be l(-10). Let s(w) = 6*w - 123 + 275 - w - 126 - 3*w. What is s(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 8. Let n = -0.41 + 0.01. What is the smallest value in c, -1, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 142 = 92. Suppose i + 968 = 5*b, b - 8*i + q*i = 204. List the prime factors of b.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m - 1185. Let n be h(-44). Solve -w + 5*i + 5 = 0, n*w - 5*w + 10 = 3*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 + 233 = m. Suppose -7 - 5 = 3*c, 450016 = m*a - 4*c. Round a to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 50. Let x(d) be the third derivative of d**3\/6 - 20*d**2 + 13*d - 6. Give -u(p) + 2*x(p).\nAnswer: p + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(13) + 1)**2 - (sqrt(104)*2*5)\/sqrt(8).\nAnswer: -8*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 890221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-12)*(-54)\/189. Let x = 0.7 - 0.6. Which is the nearest to t? (a) -0.1 (b) -1.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z - 1. Let m(b) = -3*b**4 - 2*b**2 + 2*b - 63. Let d(a) = -4*l(a) + m(a). What is the second derivative of d(r) wrt r?\nAnswer: -36*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1064 = 3*x, 4*m = 101*x - 103*x + 4172. Calculate the least common multiple of 4 and m.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {d: 3, k: 4, c: 3, x: 1, r: 2, h: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**4*v**(2\/25)\/v*(v**(-2\/7)\/v)\/v**6 assuming v is positive.\nAnswer: v**(-386\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29661912 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*h - j, -69*h + 74*h + 3*j + 30 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 310 - 317. Let w(i) = i - 9. What is w(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1502 - 47206?\nAnswer: -48708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*p + 110*p - 43*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 7, x: 3}. What is prob of sequence xxix?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1272*k - 2486*k + 1215*k + 2*y + 17, -3*k = 3*y + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2\/9 (b) 36 (c) 4\/7 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -444 - 7?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 135 (b) 0.02 (c) 1\/7 (d) -296\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:31 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.812 + -0.108. Round s to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose 2*w = -k*w + 95. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 4. Suppose 4 = -i, 3*k - 3*i + o*i = -60. Let p = k + 31\/2. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 95.5, 0.4, -2\/13, -0.07, 2\/9?\nAnswer: 95.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 833106 take away -849987.4?\nAnswer: 1683093.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - 3*r**2 - 3*r. Let b(o) = -o**3 - o**2 - o. Let m(q) = -3*b(q) + g(q). Factor m(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.435 + -38. Let l = -0.56499807 - g. What is l rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -2 + 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2346\/612 - 2\/(-12). Let j(t) = 2*t + 2. Let i = 4 + -1. Let l(x) = -x + 2 + 0*x - i. What is n*j(z) + 9*l(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 4*s = 29*z - 11080, 2*z + s - 11086 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/9 (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0 - (-9 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 - 73*f**2 - 44*f**2)*(-2*f + f + 2*f)*(6 + 1 - 5).\nAnswer: -250*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/19)*l)**3 assuming l is positive.\nAnswer: l**(51\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 57. Suppose -w*l + 12 = 12. Solve -2*y + 6 = -l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 12. Let h = g - 2. Suppose 8 = 2*b - 4*r, -h*r = -4*b - 3*r + 6. Solve -2*u = -7*u, b = -4*v + 3*u + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.95 + -7. Let p = 4.95 - z. Let l = 4 + -8. Which is the smallest value? (a) p (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = m - 0 - 1, 5*m + 40 = -5*f. Is 0*(f + -1)\/12 - -97 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228340512 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.09463 and 13.\nAnswer: 15.09463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 3:25 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*j**4*y - j**4 + 3*j**3 + 49*y - 3 wrt j.\nAnswer: -24*j**3*y - 4*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6006\/17 + 167199\/476. Calculate the common denominator of b and 69\/16 - (6 - (4 - -2)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7\/35*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -208*g**2 + 7*g - 1629. Let k(s) = 209*s**2 - 6*s + 1628. Let j(i) = -7*k(i) - 6*t(i). What is the first derivative of j(f) wrt f?\nAnswer: -430*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4\/4 + 550945*z**3\/2 - 60710282345*z**2\/4 + 60706976715*z - 60705874845 = 0. What is z?\nAnswer: 2, 110187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b + 44*b + 2*b**2 + 18*b - 474*b**3.\nAnswer: -474*b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0577 + 71786689957?\nAnswer: 71786689957.0577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*431395.\nAnswer: 43139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 14*b**2 + 12*b + 26. Suppose 15*a - 26 = 13*a. Is l(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9147 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: Divide -4 by -1157682.\nAnswer: 2\/578841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 0*c**3 + c**3 + (6*c - 2*c - 2*c)*(4*c**2 + 4*c**2 - 6*c**2) + 3*c**3 + 2*c**3 - 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118146.\nAnswer: 2, 3, 7, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -567\nAnswer: -8\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27934, 27615, 26634, 24661, 21366, 16419?\nAnswer: 9490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*i = 6*o, 4*o + 2*i - 18 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/20 - s**4\/4 + 7*s**3\/6 + 3*s**2 - 9*s. Suppose 5*y - 1 = -31. Let a be (8\/6)\/((1 - -1)\/y). Give k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2, -0.2, -212, 2\/35, -1\/4?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + m**2 - 8*m**3 - 16739 + 2*m + 16734 to the form b + l*m**2 + j*m**3 + i*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5*h**2 - 3 + 10.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 43 (b) -1\/17 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -4\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20257*i**4 + 18606*i**2 wrt i.\nAnswer: -486168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*q - 102*q + 91*q + 80*q.\nAnswer: 334*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204766105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 2*h - h + h + 5*h - 4*h + (4 - 2 - 4)*(h - 5*h + 5*h) + h + 0*h - 2*h - 3*h - 3*h + 4*h + (3 - 2 + 1)*(-2*h + 0*h + h) + 2*h - 4*h - 3*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (286\/65)\/(2\/40). What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38373670.\nAnswer: 2, 5, 29, 113, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - (-14 - (20 + -15 + 1))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1139952 by -1496.\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223232111 (base 4) in base 13?\nAnswer: 1b8203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -32, -0.2, -2\/1049?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1948540 and 113\/110.\nAnswer: 1948540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.04 - -25.858. Let s = 3 + b. Let c = 0.18200171 + s. What is c rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 - 148. Solve 0 = -3*d - b + n, 4*d - 4*b - 4 = -0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*v + 367*v + 55 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(7\/4)\/h*h*h*h)\/h)\/h)**(-47)\/(h**(-2\/41)\/h**17) assuming h is positive.\nAnswer: h**(-18401\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -382237\/16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 62936*g - 25285568.\nAnswer: 4*(g - 392)*(g + 16126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (23 - 43 - -39)) + 0 + (-24 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26535 + 835456 - 10065 + 2*p.\nAnswer: 2*p + 798856","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*-5*(sqrt(1573)*1 + sqrt(1573) + -3 + (-1*sqrt(1573)*-1 - sqrt(1573))))**2.\nAnswer: -158400*sqrt(13) + 7561200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1331) + -4) + 2*(2 + sqrt(539))**2)*4*-2.\nAnswer: -8816 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 17*r - 5*j = 12, -3*r + 12 = -3*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 638 - 1318 + 644 + 34*s. Is 8 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 28*b - 171*b + 1890 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*s + 92 = -550*s - 5*q, 0 = 7*s - 4*q - 322 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (218\/654)\/((-4)\/96).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/(-15)*90\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001100100111 + -10000101001?\nAnswer: -110011101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -1\/57*w**3 - 12*w - 1\/399*w**7 + 0*w**2 + 0*w**4 + 1\/95*w**5 + 0 + 0*w**6. Factor i(h).\nAnswer: -2*h*(h - 1)**2*(h + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7*u**2 - 3)*(u + 5*u - 2*u) as h*u + l*u**3 + n*u**2 + w and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 35 + 46 = 2*o, -2*f + 78 = 2*o. Solve -5*j = -4*d - o, -5*j + 3*j + 8 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f**(2\/5))\/f**(-31\/3)*f**(1\/3)*f**2*(f**(-3\/5)*f)\/((f\/(f*f**(-3))*f)\/f) assuming f is positive.\nAnswer: f**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-27) + -10)*(-15)\/(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -170*j - 49*j - 338934 + 13016187. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*h + 926, 2*p - 5*p + 1404 = -2*h. Let x = p + -327. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54971944831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 3*w**4\/4 + w**3\/3 - 5*w**2. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 219 = v, -k - 3 - 2 = 0. Calculate the highest common divisor of v and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u - 1. Let i be d(1). Let c(n) = 6*n - 1. Let y be c(i). Solve -2*f + y = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*19\/2*(-866)\/(-433).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 9. Let t = 9.2 + -9. Sort n, 0.1, t in descending order.\nAnswer: t, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 100. Suppose 4*t = -d*w - 2*w - 308, -393 = 5*w - 3*t. Is w at least as big as -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1572 = o - a - 8509, -2*o + 3*a + 20161 = 0. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.00250735 to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463239?\nAnswer: 37, 71, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 68, 85, 102?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3441 - -3?\nAnswer: 3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(833)*-1*-1)**2 + (-1 + sqrt(833) + -3)**2 + 1)*2.\nAnswer: -112*sqrt(17) + 3376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 409704\/63520 + 6\/(-5)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(-8)\/(-6)*2 + 322 is divided by 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.439, 3\/2, 0.8 in increasing order.\nAnswer: -10.439, 0.8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -7 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -43*q - 11. Suppose 4*d - 140 = -u, 0 = -3*d - 88*u + 87*u + 106. Let o(h) = 7*h + 2. What is d*o(n) + 6*c(n)?\nAnswer: -20*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let d(i) = 6444*i**2. Give c(d(f)).\nAnswer: 83050272*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15557230*p**2*w + 7763677*p**2 wrt w.\nAnswer: -15557230*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*2\/(-4) + 7. Solve -s - s + 4 = 2*g, -3*s + 12 = y*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(343)*-3 - -3*(sqrt(343) + -1).\nAnswer: -3 + 147*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 5, -652\/3, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 72*n - 81. Let v(b) = -b + 1. Let t(f) = -162*v(f) - 2*z(f). Let j be t(-2). Which is bigger: j or -37?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, x: 2, l: 1, e: 2, y: 1, z: 1}. What is prob of picking 1 z, 2 x, and 1 k?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 21.74. Let z = i + 3.26. Let n be -3 - -1 - 756\/(-405). What is the second biggest value in 0.16, n, z?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646363119 to the power of 1\/2, to the nearest integer?\nAnswer: 25424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -104, 1, 161, -1, 5 in ascending order.\nAnswer: -104, -19, -1, 1, 5, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/35)*r**(-13)*(r\/(r**31\/r)*r*r)\/(r\/r**(-4\/7)) assuming r is positive.\nAnswer: r**(-1453\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13398322 by -1914046.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 + 197*g**3 + 3*g**2 - 593*g + 394 = 0. Calculate g.\nAnswer: -2, 1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p - 2. Let v be i(0). Let x be 1*v*6\/(-4). Solve 0*g = 3*g, -x*l - 5*g = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/28*77\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1542*l**5 + 2457422*l**4\/7 + 3312892*l**3\/7 - 3292088*l**2\/7 - 3664*l\/7 = 0. What is l?\nAnswer: -2, -2\/1799, 0, 2\/3, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*sqrt(84)*3)\/(sqrt(60)\/(sqrt(20)*-1 - sqrt(20))))**2*3.\nAnswer: 302400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 + 6*o. Suppose -2*n = n + 15. Calculate t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*2\/495 + (-986)\/(-30)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*v - 57, 13 = -2*v + 2*h + 65. Solve 14*q = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, 42, -6, -5, -4 in increasing order.\nAnswer: -22, -6, -5, -4, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -43*l - 1606. Give j(-38).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 12*j + 35. Suppose -j*m - 16 = 3*m. Put m, 3, -4 in increasing order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-30)*(-15)\/6. Let a(i) = -2*i - l*i + 6*i + 3. Let x(n) = n**2 - 21*n + 84. Let c be x(6). Give a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16595 is divided by 876?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**3 - 711620*v**2 - 35590616*v - 68334720 = 0.\nAnswer: -48, -2, 177955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22020010 - 1?\nAnswer: 22020003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7)**(2\/27))**(-32\/7) assuming m is positive.\nAnswer: m**(-64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by -5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 7*v**3 - 6*v + 6*v + 89.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54320 is divided by 18105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.15246 litres in millilitres?\nAnswer: 55152.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8969*i - 18256*i + 4*i**3 + 9287*i + 4*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7832 divided by 5?\nAnswer: -7832\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*b = -801*b - 3831 + 2560 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 0*r + 0*r**6 + 5\/7*r**7 + 0*r**5 - 3 + 0*r**4 + 0*r**2 + r**3. What is the third derivative of z(f) wrt f?\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -77, 0, 2961, 0.8, -1\/2 in descending order.\nAnswer: 2961, 0.8, 0, -0.4, -1\/2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*q = -50, -61*q - 61 = 3*h - 65*q. Sort -5, 1, 3, 7, h in ascending order.\nAnswer: h, -5, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 267258068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/40 and 79\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 87\/10, 0.2, -0.298, 0.5, -3\/5?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 151, 308, 465?\n\"Answer: 157*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - 50\/(-6). Suppose 0 = -3*y + p + 18. Solve 1 - y = -2*o - 3*u, 0 = -u + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90500*i**2 - 84248.\nAnswer: 181000*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 5068.\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 21 = 3*m. Suppose 3*c - 15 = -5*o, -15 = -m*o - 2*o - c. What is the third derivative of o*w**5 + 71 + 3*w**2 - 71 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3024417411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4091 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 3*n**2 - 2*n**2)*(-367 + 195 - 242)*(2*n - 2*n + 2*n) to y + v*n**2 + x*n + g*n**3 and give g.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 177. Let q = n + 98.0000082. What is q rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*j - 89*j = 120*j + 2032 - 11361 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(128))**2.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 150 = o. What is the remainder when o is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3697 + 3719. Solve -1003*w + 992*w - t = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 - 56 + 12*g**2 - 53 - 51 - 4*g**3 in the form a*g + l*g**2 + i*g**3 + m and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-24 - -3 - (-176 + 131)) - (-1 + -1)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*z - 4*z + 25, z - 9 = -4*i. Let c = 1 - i. Let k(f) = -2 + 29*f - 30*f + 3. Give k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/176640 and -40\/633.\nAnswer: 37271040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 7*v**2 + 182*v + 31*v**2 - 11*v**2 - 10*v**2.\nAnswer: v**2 + 182*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-10)\/(-160)*8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let v(a) = -a + 1. Let g(r) = -2*r - r + 3 + 1. Suppose 4*m + c - 2*c = 17, -11 = -4*m - 5*c. Let k(h) = m*v(h) - g(h). What is k(l(y))?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -526, 0.4, -2\/9 in decreasing order.\nAnswer: 0.4, -2\/9, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3307 + -3142. What is the remainder when 474 is divided by i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 188917 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.03 - -1. Let v = -38.59 + 39. Let y = v - u. Round y to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 85, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 1. Let l be t(1). Let c be (6\/4)\/(l\/(-4)). Let n(k) = 5*k - 2. Give n(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5229*q = -5*p - 5233*q - 40, -16 = 2*p + 4*q + q for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 724.5*-0.5\nAnswer: -362.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -842*d**3 + 635*d**2 - 393*d**3 - 8 - d - 631*d**2. Let w be v(-4). What is w rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 2751333.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 9. Suppose 5*o - 6 = 9, 0 = 5*l - g*o - 626. What are the prime factors of l?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112144 + -1441?\nAnswer: -114140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 23. Let m(n) = -n + 1. Let i(b) = -c(b) - 5*m(b). Let h be i(-9). Let a = 141 + h. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ydydczydygdcyyzzczyn?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*a + 5*a. Let s(l) = -l**3 - 2*l**2 - 2. Let w be s(-3). Let y = w - a. Solve 0 = -5*n + 3 + y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 + 228?\nAnswer: 226.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 plus 9372994?\nAnswer: 9372291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*r + u, 2*r - 3*u = -0*r - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315*u + 18*u**4 + 315*u + (22*u**3 + u**3 + 24*u**3)*(2 - 2*u - 2) to o + n*u**3 + v*u**2 + y*u**4 + i*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -108 (c) 2\/17 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6609.897 micrometers in centimeters?\nAnswer: 0.6609897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -21\/20. Which is the nearest to 2\/7? (a) -2\/15 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19084966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11937\/3173 or -5?\nAnswer: -11937\/3173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3800)\/240 + 16\/(-6)*-2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1)*w)*w*w*w\/w**6)**(-22) assuming w is positive.\nAnswer: w**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -65353 (base 12) in base 7?\nAnswer: -1064235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1099 - 1103.97. Let z = -11 - -11.03. Let k = z - u. What is the biggest value in -5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 16*c + 12*c - 29*c, -2*y - 3*c + 1 = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21742\/(-97461) + (-12)\/(-54) and -61\/459.\nAnswer: 41769","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-212 + 60 - 89)*(-3*i**2 + i**2 - 2*i**2) + (0*i + 3*i - 9*i)*(i + 1 - 1) as t*i**2 + a*i + g and give t.\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(9\/4))\/(h*h*(h*h**(-8))\/h*h))\/(h**(2\/19)*h*(h\/(h\/(h**1\/h)*h))\/h*h) assuming h is positive.\nAnswer: h**(277\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -26 (b) -1\/13 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82 + 2*x**3 - 118*x + 247*x - 126*x - 2*x**3 - x**3 + 5*x**3 + (5*x**2 - 5*x**2 + x**2)*(-5*x + 3*x + 3*x).\nAnswer: 5*x**3 + 3*x - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*t**3 - 267*t**2 - 645*t + 75.\nAnswer: -3*(t + 5)**2*(9*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6199 is divided by 1549.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -4670\nAnswer: 49\/4670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*r - 4 = 3*d, -3*r = 4*d + 22. Let a be (d\/10)\/((63\/90)\/(-7)). Solve -5*m + 25 = 2*h, -m = 4*h - a - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 6*b - 14*b + 2*b - 13*b.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112.377 - -7.327. Let c = -120 + a. Round c to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 5 - 16\/(-1032)*-45. What is the biggest value in i, -0.2, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-969)\/321 + (-6)\/(-2). Let u = w + -85\/1177. Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1957.64 and 5.\nAnswer: 1962.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -6. Suppose -20 = -b*h + 2*h. Suppose 3 = -5*d - 2, 4*a - 40 = h*d. What is the greatest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 19 = 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1348*-0.2.\nAnswer: 269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29094*5\nAnswer: -145470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0, -39370462?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -570 (base 16) to base 13.\nAnswer: -831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/304 and -1\/42.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 7. What is the smallest common multiple of 146 and j?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 12*h - 1. Let f be r(12). Let i be f + 4\/(16\/6). Let u = 0.7 + -0.4. Which is the nearest to 1? (a) u (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156 times -121?\nAnswer: 18.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210*m**3 - 1513*m**2 - 1478*m**2 + 2883*m**2 wrt m.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 18 = -4*o + 54, -474 = j - 5*j - 22*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2900918 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 68*x + 18. Let t be s(-34). Solve 7*d = 13*d + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33*(155\/(-15) + 10). Solve -21 = -2*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51907 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -2.9. Let u = -1160\/9 + 129. Sort u, n, 5 in decreasing order.\nAnswer: 5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 30800 = 0. Let u = 9 - 7. Suppose 0*f = u*f - c. Round f to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169939030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.9 (b) 4 (c) -1144 (d) -3 (e) 5 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 + 3*x**2 + 7. Let p(v) = 3*v**3 + 2*v**2 + 6. Suppose -8*s - 60 = -14*s. Suppose 5*n - s = 10. Determine n*l(g) - 5*p(g).\nAnswer: g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -736, -732, -730, -730, -732, -736, -742?\n\"Answer: -o**2 + 7*o - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3174 and -1066.116917.\nAnswer: 2107.883083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 2*x)*(-28*x + 0*x - 50*x) + (0 - 1 - 1)*(x**2 - 3*x**2 + 4*x**2) + 0 + 0 - 2*x**2.\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 + -13)\/4*(0 + 13). Calculate the highest common factor of 923 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*x**3 + 272*x**3 + 402*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1464 and 148413.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-168)*1*(-10)\/(-625).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h - 0. Let z = h - -11. Suppose z*q = 7*q - 15. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432334 (base 5) to base 10\nAnswer: -14719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 >= -5902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 5, 170, -2\/7 in decreasing order.\nAnswer: 170, 5, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + (9 - -9) + 6 + -4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 11) + (8 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/7)*l)**(4\/15))**4)**(-1\/29) assuming l is positive.\nAnswer: l**(-48\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/20 + 5*x**4\/12 - x**3 + 3*x**2 + 3*x. Let g be i(-6). Suppose -f = -g*f + 70. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.216 + -0.206. Let o = -14.13 + y. What is o rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 439403 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.028, -1\/8, 0.18, -0.4, -0.25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t + 8. Let n be a(-7). What is the derivative of -2 - u**3 - n*u + 8*u wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 35*w**3 + 2*w**2 + 21. Suppose -1 = a - 0. Let f(j) = -j**3 - j**2 + 1. Let k(m) = a*t(m) - 2*f(m). Differentiate k(l) with respect to l.\nAnswer: -99*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/((-50)\/(-225))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16976, 68090, 153274, 272522, 425828, 613186, 834590?\n\"Answer: -o**3 + 17041*o**2 - 2*o - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 5. Let k = 93 - 85. What is h(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 147\/8 (b) -3 (c) 0 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58963\/165 + 16253\/15. Let p = c - 727. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141553.99941117 - 141554. Round b to 6 decimal places.\nAnswer: -0.000589","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001161 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 4*i + 16. Let u be l(-8). Let b = u + 70. Is -2 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*6*-6*(sqrt(272) + 0 - sqrt(272)) - 6*(sqrt(272) + sqrt(272) + sqrt(272) + 2 + -4 - sqrt(272))*3)**2.\nAnswer: -41472*sqrt(17) + 1415232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2159651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090180 divided by -130.\nAnswer: 8386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 118840?\nAnswer: 118842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 7. Suppose 0 = -2*z - 2 + 10. Let b be p(z). Let g be b + (1 - (2 + -6)). Solve -g*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*(-12)\/(-720)*-30.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**(-1\/4))\/(t*t**(1\/4)*t\/t**(1\/4)) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/2840 + -101533\/8520. Suppose 6 = -w - 2*r - 3, -4*w - 27 = 5*r. Find the common denominator of 52\/(-5 - (1 - w)) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-7))\/((-205)\/(-287)))\/(16\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h - 135 = 147 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 46 = 3074*w - 3077*w, -60 = 4*d + 4*w for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -159353 divided by 8387\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - (-5 - -1))*9 - -2183. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 119.1, -9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -218, -275, -332?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/3 + 2*m**3\/3 + m**2 - 9*m. Let g be b(2). Is g\/(-18) - (-4974)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -3\/4 (c) 0.15 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640074?\nAnswer: 2, 3, 107, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 132\/88 - (-2)\/(-4) - -59. Calculate the greatest common factor of c and 1280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 551*f - 334*f - 1736 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 65 + (10 + -6)\/4*4. Let g(v) = n*v - 284*v + 78*v - v**2 + 70*v + 3 + 72*v. Suppose -5*i - k = -18, -i + 0*k = k - 6. Determine g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**5 - 4*m**4 - 2*m**3\/3 + 2*m**2 - 252. Let c(g) = 0. What is g?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795964 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: Let v be 0 - 3 - (-5 - 3). Suppose -75 = -v*j + 35. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 + 20*b**3 - 4*b**3 - 9*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08999862 + 0.09. Round w to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2407 divided by 423039.\nAnswer: 2407\/423039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 44, -10918 in ascending order.\nAnswer: -10918, -12, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*d - 22, -n - 2632 = -2*d - 2642 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 894 + -874. What is the highest common factor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -894 - -498. Is h at least -380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25713 divided by -4\nAnswer: 25713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*v - 142*v - 251*v)*(-4*v**3 - 8 - 2*v**2 + 3*v**3 + 6).\nAnswer: 467*v**4 + 934*v**3 + 934*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 15248*h - 274251. What is t(18)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:46 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26629361 divided by 11\nAnswer: 2420851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2624*g**2 - 15*g - 31.\nAnswer: 5248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205876 is divided by 25642?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.76 - 7.76. Let z be -1*(-14)\/(2 - 0). Let n = z - 4. Which is the nearest to 0? (a) n (b) 0.08 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 9:19 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 200*n - 423. Determine z(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 9, 3\/7, 3\/2, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 13*n + 47. Let q be w(3). Let h be (-294)\/(-24) + q\/4. Solve 0 = -15*p + h*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(8\/9)*n)\/(n\/(n\/n**(-14)))*n*n**37*n\/(n**31*n)*n)**(2\/15) assuming n is positive.\nAnswer: n**(448\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 3*k + 3. Let x(a) = -3*a - 4. Let y(p) = p + 1. Let s(v) = 2*x(v) + 7*y(v). Let u(g) = -14*g + 41. Let n be u(3). What is n*f(h) - 3*s(h)?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**3 - 3*m**2 + 2*m - 2. Let h(f) = -f**3. Let r(o) = 6*h(o) + w(o). Let k be r(2). Let l(j) = 3*j**2 + j + 1. Give l(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115477069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:41 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*c - 180 = 0. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8600 or -43416?\nAnswer: -43416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 7 + 0 + 4 - 5*i**3 + 2*i to the form f*i + x*i**2 + a*i**3 + m and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*30\/65. Which is the nearest to i? (a) 12\/11 (b) 3 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5 - 355390*a**4 + 8427823160*a**3 - 66862559762690*a**2 + 4311092769322435*a - 4244238637027520 = 0.\nAnswer: 1, 64, 23671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Suppose -z*n + 14 = -86. Suppose -4*w = w + n. Sort w, 4, 2 in descending order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 4. Determine f(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4466*z + 4485*z - 22380*z + 4480*z + 4494*z + 4486*z.\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/3 + 3 + 6. Let j be (-1)\/(3 - (3 - y)). Sort j, -1, 2\/7 in ascending order.\nAnswer: -1, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34527 is divided by 6902.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Let f = -9.4 + 10.4. What is the nearest to 1\/3 in f, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 14 - 9 + 20 - 311*r + r + (4 - 4 + 2*r)*(3 + 0 - 5) to d*r + j and give d.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 - 9500*l**4 + 4502985*l**3 + 9044010*l**2.\nAnswer: 5*l**2*(l - 951)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**2 - 2*x + 43. Suppose -14 = -c - 3*m, 6*c = 3*c - 2*m + 21. Let i(q) = -3*q + 2. Calculate c*b(f) + 4*i(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-7 + 3) - -2*4. Put p, 54, -0.5, -4\/5 in ascending order.\nAnswer: -4\/5, -0.5, p, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -32, -21, -6, 13, 36?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 51*l - 2. Let p(r) = 51*r - 3. Calculate -5*h(j) + 4*p(j).\nAnswer: -51*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -4) + 2*2. Suppose 631*f - 18 = 622*f. Suppose -923 = -f*v - 923. Solve k*r + 2 - 10 = v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98291 * 2\nAnswer: 196582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317513738?\nAnswer: 2, 158756869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35432314 (base 7) in base 14?\nAnswer: -5b827b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/((-234360)\/(-93))*-10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6836 + -191431\/28. What is the common denominator of i and (-403)\/(-540) + (-4)\/20?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*r - 116*r + 3*z + 1, 3*z = -r + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14392*-34\nAnswer: 489328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Suppose u - 4*u = 0. Suppose 3*i + l = -0*i + 14, u = 5*i - 4*l + 5. What is the remainder when 3 is divided by p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from mgghtjn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pun. Give prob of sequence un.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 567\/19, 0.21, -5, 9, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 - 2*k + 2. Let n be c(4). What is the highest common factor of 72 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2192 - -2191)*2\/(-244)*-2*-2?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18*r + 50. Let q(h) = -32*h - 101. Let v(t) = -11*l(t) - 6*q(t). Give v(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-4)\/(-60))\/(92\/24)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/4 + f**4\/6 + 16*f**2 + 2. List the prime factors of y(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + -1 + 10 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -6*g - 63, 607*a - 613*a - g = -10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -278?\nAnswer: 3\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34559 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5207353 millilitres?\nAnswer: 0.0005207353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (-30)\/4)*-2. Let y = 0.7 - 0.2. Which is the second biggest value? (a) 3 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553603 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108357, -216720, -325083, -433446?\nAnswer: -541809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11))**(-1\/34)\/((j\/j**(2\/9))\/j*j)**(-42) assuming j is positive.\nAnswer: j**(18323\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-6))\/((p*p*p\/p**(2\/29))\/p)*(p**(2\/17))**(-9))**(-6\/7) assuming p is positive.\nAnswer: p**(20676\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3624775 and 17754.\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 10\/62249617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77932077?\nAnswer: 3, 29, 895771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2863*a - 11*a**2 - 31*a**3 - 283*a + 118*a**3 + 9*a**2 wrt a?\nAnswer: 522*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1472 + 1472 + 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-24)*(b\/(b*((b\/b**(1\/5)*b*b)\/b)\/b))\/((b\/(b\/(b\/((b**(-3)\/b)\/b))))\/b*b))**(5\/4))**(-6\/13) assuming b is positive.\nAnswer: b**(51\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29944, 29832, 29646, 29386, 29052?\n\"Answer: -37*r**2 - r + 29982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15\/4*i**2 - 21\/8*i**3 + 0 + 3\/8*i**4 + 6*i = 0 for i.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 35*x**3 + 2*x**2 + 17*x - 48. Calculate the least common multiple of s(5) and 18.\nAnswer: 40158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {v: 4, z: 3, t: 1, s: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 - 2*w + 13. Let k(l) = l**2 - l + 1. Let y(x) = 6*k(x) - u(x). Let q be (2 - 0)\/(2\/5). Let h be y(q). Put -5, 1, h in decreasing order.\nAnswer: 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5410628, -5410625, -5410622, -5410619, -5410616?\nAnswer: -5410613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 10. Let g(m) = m**2 - 35*m + 41. Let p(h) = 2*g(h) - 6*n(h). What is p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10432*t**2 - 43*t + 5219*t**2 + 5212*t**2.\nAnswer: -t**2 - 43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89173957163\/132742140 + 2\/2212369. Let u = -674 + z. Find the common denominator of u and -59\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27 - 2)\/(19 + -14). Sort g, 2, 32.\nAnswer: 2, g, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2486 - 2445. Let q = -15 + 42. Suppose -q = -2*n + c. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 8.6 (c) 0.01 (d) -4 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1 plus 102.120040867?\nAnswer: 109.220040867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 597794 and 16439335.\nAnswer: 32878670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 462 = 32*q. Solve k + 22 = -2*s - 3*k, 0 = -4*s + 3*k + q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.3 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3)\/((-90)\/12) + (11380\/(-75))\/2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 576 = -14*z. Solve 2*b = 4*f - z, -4*b = 2*f + 2 - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30699093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = 2*x, 3*q = -x + 6 + 2. Let v(k) = k**3 - 7*k**2 + 7*k - 2. Let m be v(6). Let y = -1.9 - -2. What is the third biggest value in y, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 111 - 517 = 0. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r. Let f(o) be the third derivative of -o**4\/8 - 7*o**2. Give v(f(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -45968, -1\/2, -3, 0, 0.2 in increasing order.\nAnswer: -45968, -3, -1\/2, -3\/7, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38\/7*b**2 - 12\/7*b**3 + 6*b + 8\/7 = 0.\nAnswer: -4, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-11 - -21) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-45)\/10*1*(-2 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 767 - 768. Let q(s) = 3*s + 15. Let x(b) = -b - 1. Determine i*q(k) - 5*x(k).\nAnswer: 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**2\/2 + 3*f + 1. Let p be r(0). Let d(h) = 2*h - h - 3*h - 2 + p*h. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**(-3\/5)\/n)\/n)\/n)\/(n\/n**(-11)))\/((n**(-1\/5)\/n)\/n)**(33\/5) assuming n is positive.\nAnswer: n**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315445*m = 315421*m + 95016. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**3 - 16*c**3 - 23*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 137. Let n be l(-33). Solve n*a + 0 + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(((-6)\/(-39))\/(6 + 4)). Factor 4*j**2 + j**3 - 58*j - c*j + 0*j**3 - 3*j**3 + 121*j.\nAnswer: -2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.23 and -0.2?\nAnswer: 7.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 681 + -629. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8117*d**2 - 293*d + 2117. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778355512.\nAnswer: 2, 11, 23, 373, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -4\/17 (c) -3\/14 (d) 154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 15*j**2 + 11*j + 438. Give g(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.61397 + -0.614021838. Round f to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -145?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 44. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-660)\/77)\/10)\/((-1)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 < 2154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388941 divided by -6.\nAnswer: -129647\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/117 - -1117\/117. Let w = i + -148\/15. Is 0 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52 and 0.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2057) + sqrt(2057)*-2 + -5)*-2.\nAnswer: 9 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 20*s**2 - 19*s + 12. Give h(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 6*n**2 - 2*n + 5. Suppose 0 = -122*l + 126*l - 4. Let j(g) = -7*g**2 - g + 3. Let h be j(l). Determine d(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95*2*(-4)\/(-8).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121210002 + -22?\nAnswer: -121210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3630\/(-121)*1\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -407, -418?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/8 - -95\/24. What is the nearest to 0 in 0, -0.3, i, 1\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119844 or -122961?\nAnswer: -119844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i - 1\/2*i**2 + 0*i**3 - 1 - 1\/12*i**4. Let a(j) be the second derivative of v(j). Let t(u) = 2*u. What is a(t(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*k + 1321 - 592 - 525 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p. Let v(t) = 6*t**2 + 19*t. Let j(z) = -b(z) + v(z). Factor j(l).\nAnswer: 5*l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6327*c - 6. Let m(r) = -12654*r + 14. Give -2*m(n) - 5*w(n).\nAnswer: -6327*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 161361596 and 484084784\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**3 + 2*q**3 + 0*q**3)*(-q + 4 - 4) + (1 + 2 - 5)*(-q**4 - 8*q**4 + 2*q**4) in the form z*q**2 + m + j*q + a*q**3 + d*q**4 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.5 + 45.5. What is the biggest value in h, -18, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 169, 620, 1349, 2356, 3641?\n\"Answer: 139*u**2 + 34*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 13) to base 10\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rrrrllurrrrsrvrltrv?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*k**5 + 4*k - 13122 - 13135 + 26256 - 588*k**2 wrt k.\nAnswer: -7260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 19. Let u(y) = y + 6. Let x be u(-4). Let a = n - x. Put 4, a, -3 in decreasing order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 232, 515, 912, 1423?\nAnswer: 2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22779117 less than 0.07?\nAnswer: -22779116.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 11*m + 12*m**5 - 21*m**3 + 225*m**2 - 228*m**2 + 3*m**4 = 0 for m.\nAnswer: -1, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*w - 15*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 41004*i - 12. Let u be x(3). Round u to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/30 and (-2 - -5) + (-100)\/(-45).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*(-2*sqrt(612) - sqrt(612))*3*1 - (3 + sqrt(612)*2*6 + sqrt(612) + -3)) + 1)**2.\nAnswer: -384*sqrt(17) + 626689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.7. Let p = -3.4 + f. Let l = p + 2.8. Which is the closest to 1? (a) 2 (b) l (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 116 = 3*d. Suppose -2*g - 248 = -4*b, b - g = g + d. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 43 - (-2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 3, q: 3}. Give prob of sequence qzhh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16935203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.5 (b) -1007 (c) -3 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + 4 + -2 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24233 + -24229. Suppose 4*m - 36 = -2*r - 0*m, 2*r - 42 = 2*m. Solve -i = u*i - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108543 minus 3.669824939?\nAnswer: -108546.669824939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6 + 16*j**5 - 13*j**3*m + 14*j**2*m + 5*j**2 + 4*j*m - 2*m wrt j?\nAnswer: -120*j**3 + 960*j**2 - 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4959 + -3300. Does 32 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/728*12*-14*(-1)\/16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1141376, -1141399, -1141460, -1141577, -1141768, -1142051, -1142444, -1142965?\n\"Answer: -3*h**3 - h**2 + h - 1141373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*y - 126 = 0, 4*v + 8*y - 9*y = -130. Sort v, 3, -2 in decreasing order.\nAnswer: 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 166*z - 163*z - 3, -5*z + 13 = 4*n. What is the least common multiple of 1063 and z?\nAnswer: 5315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(133) + (sqrt(133) + sqrt(133) + sqrt(133)*-2)*2)\/sqrt(7) + -1 - (sqrt(95)*-1*-5)\/(sqrt(5) - sqrt(20)\/sqrt(4)*-2)).\nAnswer: 2 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-21)*(9\/12 - 1). Let n be 1 - (0 - (-10)\/16). Let o = 1\/24 - n. Which is the second smallest value? (a) 3 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5 + b + 10 + 11. Let o be h(-12). Suppose -g + 4 = 0, o*z + 2*g - 168 = -0*g. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55355648?\nAnswer: 2, 216233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*n + 345*n + 458*n + 5*n**2 - 1263*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 5*c + 2. Suppose -8 - 1 = -3*u. Let a be o(u). What is the third derivative of 0*d**5 + 6*d**5 + 3*d**a - d**2 wrt d?\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/252 and 11\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11455*y**2 - 1774*y.\nAnswer: 22910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(2736)) + sqrt(2736) + 2 + -1*sqrt(2736))*-6 + -4.\nAnswer: -16 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*m - 15, -216 = -5*m - 211 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**40)**(-1\/38) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20389.1 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 29160810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 4, x: 6}. Give prob of sequence xzzz.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/70*-6*15535\/(-3107)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/20 - 1514\/(-10) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4 - 2. Suppose -k - 2437922 = -y*k. Let m = 4237922 - k. What is m rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -43, -9, -25, -97, -231, -433, -709, -1065?\n\"Answer: -c**3 - 19*c**2 + 98*c - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.6 - 1.6. Let w = 24.79 + 0.41. Let f = b - w. Is f bigger than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -625971993*z**2 - 480254424?\nAnswer: -1251943986*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4888 and 76375?\nAnswer: 611000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -26*h + 505. Determine y(21).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*a - 2*h, 52 = 3*a - 5*h - 0*h. Let g(f) = -f - 3. Let j be g(-5). Solve 0 = -2*x - 4*u + 10, 2*u = -5*x - j*u + a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115712*n**2 + 5*n + 327?\nAnswer: 231424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -69. Is j bigger than 3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(108)\/sqrt(4) + -6*2*sqrt(27) + sqrt(27))\/(4*sqrt(27)\/sqrt(3) + (sqrt(9) - (sqrt(72)*3)\/sqrt(8))).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*a**6 + 727799*a**4 + 2*a**3 + 278183*a**2 - a + 8 wrt a.\nAnswer: -6360*a**3 + 17467176*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224872978 + 224872979.00000001. Let b = 0 - -1. Let z = o - b. Round z to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - l - 1. Suppose -4*n + 3*j - 1 = -0*j, 5*n + 2*j + 7 = 0. Let p be r(n). What is the units digit of (-3)\/(-5) + p\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -18, -72, -180, -360, -630?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4. List the prime factors of f\/(((-10)\/478)\/5).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22556*b + 7141*b + 21031*b - 5203*b.\nAnswer: 45525*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485 - 2423\/5. Let h = 10.3 - 11. Which is the third biggest value? (a) h (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 7*v**2 - 2 + 846*v - 139*v + 322*v + 14*v**2.\nAnswer: 2*v**2 + 1029*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18)*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 - 41*c**2 - 5*c + 5. Let u(y) be the third derivative of y**6\/60 - 7*y**5\/20 - y**4\/8 + y**3\/2 + 563*y**2 + y. What is 3*o(d) - 5*u(d)?\nAnswer: 2*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a + 3. Suppose -3*q + 4*j = -11, -2*j + a = 3*q - q. Solve -4*l - x + 6*x = 28, 3*l + 26 = q*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = -58*d - 42 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 545597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 23. Sort 4, s, -11.\nAnswer: -11, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -35 - (-12 + 2)) + (18 - 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73319 - -175536. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 23*n**2 - 30*n + 6. Let q be j(-21). Let k = 203 - q. List the prime factors of k.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 7. Let v be u(-5). Suppose -5*d + 366 + 143 = 2*w, 4*w + v*d = 1026. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/7528 and 87\/224.\nAnswer: 210784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -45*n - 228. Let h be i(-5). Let z be 231\/63 - 1\/h. Which is the nearest to -1? (a) -3\/5 (b) -0.1 (c) -1\/2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 31*h = -34 - 94 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.55 and 334?\nAnswer: -851.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6415 is divided by 87.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*w = -1 - 5, 5*w - 4 = d. Suppose 0*n = 4*n - 20. Suppose -5 = -5*f + n. Which is bigger: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2872 and 584.\nAnswer: 209656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43564849 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9866, 9873, 9882, 9893?\nAnswer: 9906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:42 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 5*p = 14*a - 9, 4*a + 16*p - 14*p - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from uqqqrrrquurqqu.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 41331195455?\nAnswer: 41331195455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 5 - 8*m + 22*m - 14. Let v be q(-4). Let i be (5 + -1)\/(-13 + 15). Sort -2, v, -5, i in decreasing order.\nAnswer: i, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -72, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**8\/6720 + g**7\/1260 + g**5\/120 - g**4\/2 + 6*g. Let s(q) be the third derivative of b(q). Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 13 = -17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 9 = -b, -5*r + 112*b + 29 - 98 = 114*b for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 33*g**2 - g - 25. Let o be c(5). Suppose 5*p + 2406 = -2*y + 5*y, -4*p = -y + o. What are the prime factors of y?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16*l + 35. Let h be t(2). Suppose d**3 + h*d + 806 - 3*d**2 - 400 - 407 = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 427.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.03 - -5.97. Let g = y + -7.000007. Round g to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 112 = 12*b, -46 = 25*b - 21*b - 2*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:13 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*o = 20, 2*o + 5 - 9 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 30, 33, 24, -3, -54?\n\"Answer: -i**3 + 3*i**2 + 7*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63513\/13 or -4885?\nAnswer: -63513\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -25.5 (b) -0.4 (c) 54 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 1767.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3363 and -0.12?\nAnswer: -403.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by (6\/21 + 6864\/(-63))\/(98\/(-147)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 520 - 604. Let x be (-35)\/n*5\/25. Which is the smallest value? (a) -4 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 253, 250, 247, 244?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.6286379 to 2 decimal places.\nAnswer: 8.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2 + 14*o - 6. Let q(h) = 12*h**2 + 13*h - 5. Let x(f) = 5*l(f) - 6*q(f). What is the second derivative of x(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:25 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 26?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:27 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l - 45. Suppose 4*d = 3*t + 5, -4*d = -0*d + t - l. Determine r, given that -54 - 40*r - 14*r - 2*r**3 - 7*r**2 - 11*r**d = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3092 + -3031. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 10*m + 56. Let w = m + 53. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 19*q**2 - 2*q + 8. What is h(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/240 + f**5\/60 - 3*f**4\/16 - 3*f**3\/2 + f**2 - 26. Determine c so that s(c) = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 1 + 1)*(-1 + 2 - 2) + z**2 + 4*z**2 - 3*z**2 + 167*z**2 - 63*z**2 + 2467 - 2466 as x*z + o*z**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 + -137. Suppose a = 4*t + 4. Let i be ((-2)\/6)\/(20\/t). Sort i, -5, -2.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -39, -63, -87, -111?\n\"Answer: -24*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5 + 5. Suppose h*j = -v + 1379 + 1313, -j + v = -1343. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*k + 2, 5*f - 24 + 4 = 0. Suppose z - 1179 = -2*x, -z + 1169 = k*x - 2*z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814700 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k + 4*m + 3, -1 = -2*k - m. Suppose 6 = 4*f + 2*d, 0 = 2*f - d + k - 10. Suppose -n = f*n. Solve -2*j + 2 = 4*g - 12, n = 5*g - 3*j + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*l**2 + 1265*b**3 - 5*b**2 - 3*b + 144*l**2 + 10*l wrt b.\nAnswer: 6*b*l**2 + 7590*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 557854 and -0.623267?\nAnswer: 557854.623267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h + 3*j, -4 = -2*h - 4*j + 2*j. Suppose w - p = 4*w - 20, 0 = -w + 3*p. What is the greatest common factor of h and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3995*k + 7465*k + 6401*k.\nAnswer: 17861*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*a + 1 + 3 - 4)*(12634*a**2 - 76 - 6315*a**2 - 6311*a**2).\nAnswer: -328*a**3 + 3116*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*x + 2416 = 283 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3564*w + 2 - 3601*w - 1)*(3*w - 9 + 9).\nAnswer: -111*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5947644890 to the power of 1\/2, to the nearest integer?\nAnswer: 77121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2060.363ms?\nAnswer: 2060363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49884 is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547.3477 litres to millilitres.\nAnswer: 547347.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 980829 to the power of 1\/2, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**37)\/p**(1\/16))\/((p*p**(-25))\/(p\/(p*p**(12\/13)*p))) assuming p is positive.\nAnswer: p**(12691\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587596 is divided by 3385.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -37. Calculate the remainder when 52 is divided by f*(-9 - 0) + (-30)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13939.\nAnswer: 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -5*y + 61440. Round y to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t - 2*t)*(-t**2 - 2*t + 2*t) + (-t**2 + 2*t**2 + t**2)*(t + 5 - 5) in the form d + b*t**2 + w*t + y*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 - 1064512*t + 283296449536 = 0?\nAnswer: 532256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - (-125)\/(-40)) + (-7)\/28?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3195 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -1. Suppose 4*m = -4*j + 14352, 3594 = -2*j + h*j + 3*m. Is 1\/4 - j\/(-60) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*k**2 + (3 + 0 - 1)*(0*k + 2*k**2 + 0*k) - 2*k**2 + 0*k**2 - k**2 + (-2*k - 3*k + 4*k)*(-3*k + 4*k + k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 229.7579 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. What is the closest to s in 1\/2, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 1, -4 in descending order.\nAnswer: 24, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*h**3 - 5 - 768*h**2 + 685*h**2 - h**4 + 7 to m*h**4 + r + y*h**3 + v*h**2 + q*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, g: 2}. Give prob of picking 2 g and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -37.88317317?\nAnswer: -33.88317317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3340\/58450*(-35)\/(-93).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 3 - 2 + 3 - 2 to v + h*p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 566\/3 + -187. Let g = -454\/205 - -58\/41. Which is the second biggest value? (a) 0.12 (b) 1\/9 (c) m (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1187 + 1186. Which is smaller: u or -2\/2531?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.223 times -899\nAnswer: -200.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 365, 374?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*x - 1. Let j be (x*4)\/((-10)\/(-395)). Suppose 3*o = -2*r - 0*r + j, 0 = 2*o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 7866*x + 411734. Determine l(-52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.3, 20, 0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18112*x - 664233 = 1020183 for x.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/15 - (-3)\/30*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4488 divided by -1194?\nAnswer: 748\/199","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594720?\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1 - 5 - -1. Suppose -2*x = -7*x + 4*z - 19, -2 = 2*x + 4*z. Suppose 2*p = -15*p - 34. What is the nearest to l in 1\/3, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22218\/25 equal to 889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 700 - -9?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -116. Suppose c - 9 = 4*b - 4*s, 2*b - 33 = -3*s. Let w be -3 + ((-12)\/(-9))\/(10\/b). What is the nearest to w in -2\/19, -3, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -562480222132 and 26.\nAnswer: -562480222106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dydydy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k + 4. Determine x(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 9102)*22\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 7.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 100141.\nAnswer: -600846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 13137\/3137?\nAnswer: 13137\/3137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -250273 minus 1465.5?\nAnswer: -251738.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 3*z**2 + 7*z + 28. Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810825 divided by -67.\nAnswer: 810825\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1318*n**3 - 3*n**4 - 100*n - 1326*n**3 + 2641*n**3 + n**4 in the form t*n + z*n**3 + h + d*n**2 + q*n**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 - s - 1. Let j(z) = z - 1. Let t(u) = c(u) + j(u). Find the first derivative of t(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -909*m**3 + 70*m**2 + 3 wrt m.\nAnswer: -5454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 15575*u**2\/4 - 31153*u\/4 - 15577\/4.\nAnswer: (u - 15577)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 13 + 83. Calculate the lowest common multiple of (-2)\/((27\/(-12))\/9) and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/3, -1, 183 in decreasing order.\nAnswer: 183, 0, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91733242*o**4 - 106412062 wrt o?\nAnswer: -366932968*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 96 = 4*n + 5*n. Which is the fifth biggest value? (a) -1\/28 (b) 0.1 (c) n (d) -7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 201 + 449*p - 201 + 619 - 217)*(-p + 6*p - 4*p).\nAnswer: 446*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 6312*f**3\/5 + 490372*f**2\/5 + 241680*f + 404496\/5 = 0. What is f?\nAnswer: -2, -2\/5, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:49 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54590 + 3?\nAnswer: -54589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*q - 2*u = -23, 51*u - 110*u = 27*q - 56*u + 450 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + -1.04. Round o to 2 dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n**3 + 0)*(29 - 41 + 82 + (-1 + 1 - 3)*(-3 + 3 - 1)).\nAnswer: 146*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose z - 11 = -w, -2*w = -k*z - 5*w + 39. Suppose 0*v + 2*f - 16 = -2*v, 3*f = z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 637*s**2 + s + 2*s**3 + 640*s**2 + 7*s + (0*s + 3*s - s)*(3*s**2 + s**2 - s**2) to the form w + i*s**2 + l*s**3 + y*s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*j + 3 = 0, 3*f = 4*j + 6 + 15. Let s(b) = -b**3 - 6*b**2 - 7*b - 7. Let o be s(-5). What is the second derivative of -o + 3 - u - 2*u**f wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164002 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6930 is divided by 2230?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from dddjddddddnddnddd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-18)*n**(5\/4))**(-8\/5) assuming n is positive.\nAnswer: n**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -2 + ((sqrt(320) - 1*sqrt(320)) + sqrt(320) - sqrt(320) - sqrt(320) - sqrt(320)) - 2*sqrt(320)*2)**2.\nAnswer: 160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.2 plus 311648730?\nAnswer: 311648410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 2*c + 84 = 0. Find the common denominator of 71\/22 and (-6)\/28*10*(-1)\/c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-4)*56\/910. Let w = 0.522 - 0.222. Put 3, g, w, -1\/42 in decreasing order.\nAnswer: 3, w, -1\/42, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.238028 litres?\nAnswer: 238.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 3*g + 0*g + (1 - 2 - 1)*(-2*g - 3*g - g))*(2*g - 2*g + 2*g) in the form a*g**2 + q + b*g and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdkkdkkkk. What is prob of sequence kk?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 17. Let h(g) = g + 26. Let r(i) = -7*f(i) + 5*h(i). Calculate r(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88560 by 28.\nAnswer: -22140\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110307984*d**3*j + d**2*j - 7544399*d*j - 5*j wrt d?\nAnswer: -661847904*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 225, 403, 579, 753?\n\"Answer: -o**2 + 181*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l - 189. Give i(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 1, w: 1}. Give prob of picking 1 o and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4088387 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (10730*o**3 - 428*o**3 - 1825*o**3)*(0*o + 0*o - o) in the form b*o**2 + l*o**4 + g*o + z + t*o**3 and give l.\nAnswer: -8477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67 and 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116067435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1*1942\/4855.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 3. Let l be z(-6). Let o = l + -41\/2. Put 0, o, 5 in decreasing order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 74, 122, 186, 272?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -735*v + 737*v + 4*p, -2*v - 2*p - 148 = 0 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/20*339\/6 and -14*(-14)\/49*(-93)\/56.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179609 or -89?\nAnswer: -179609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -153\/8, 317, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -47. Suppose -i + v + 4*v = 0, 2*i + f*v = 0. Let o be (1 + i)\/1*5. Solve 2*u + o = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 = -36*i - 679. Solve 0*y - 40 = 5*a - i*y, -5*y + 36 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 2. Let b = -541 - -542. Calculate o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22 = 14. Let x be 21\/(-14)*d\/(-33). Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/831 and 10\/(16830\/6647) + 2\/(-33)?\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015440518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2496361 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2731 + 2719. Sort -1, -16, s, 0, -3 in increasing order.\nAnswer: -16, s, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179408980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -105 * -0.19\nAnswer: 19.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*q + q - 11235 = 0, 4*h - 14975 = -5*q. What is h rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21261689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 13 - 14. Suppose -3*q = -r + q - 11, -q = r - c. Suppose -4*k + 60 = r*w - k, 2*w - 4*k = 50. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9))\/((-2)\/12). Let x(q) = -3*q + 1. Let o be x(-5). Suppose -10 = -3*v - c + o, -4*v + 38 = -b*c. Solve -2*m + v = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -656 or -660?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-210) - (-516)\/(-420)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l + 1. Let j(f) = 5*f**3 + 3*f**2 - 3*f + 3. What is -j(z) + 3*n(z)?\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22070)\/(-90) - (-8)\/(-36). Let f = -55 - -104. What is the greatest common factor of x and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 5*s**3 + 98*s**4 + 3*s**3 - 3*s**3 - 501 + 499 to the form t*s**2 + i*s + u*s**4 + l*s**3 + w and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -4*i. Let o(u) = -41*u - 3. Is o(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - w + 4*p - 21, -5 = 3*w - 5*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j + 2. Let y(q) = 237*q**2 + 12*q - 3. Let s(c) = 2*w(c) - y(c). What is the second derivative of s(a) wrt a?\nAnswer: -478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-40))\/(2\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -66*q**2 + 2844*q - 253. Give l(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492196?\nAnswer: 2, 3, 7, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a. Let o(w) = -2*w. What is o(r(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 30. Suppose q*r = 6*r. Solve r = 5*m - 2*f + 26, -f = -m - 1 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3217 and 0.292?\nAnswer: 939.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 499, 497, 495?\n\"Answer: -2*n + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125\/58 - 10\/29. Let k(j) = -j**3 + 11*j**2 + 12*j - 2. Let q be k(12). Let f be (q\/20)\/((-2)\/8). What is the nearest to 1 in f, t, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let u = -0.03 + 0.13. Let h = 0.2 - u. Is i less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus -46.9?\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2298 divided by 3\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 58177515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13303\/18 - -670\/9. Let z = l + -777. Calculate the common denominator of z and 37\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1288 and 63785463?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 92*n**3 - 77*n**2 + 6*n - 5. Is v(4) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + 0*v - v)*(-14*v + 7 - 10 + 2)*(-4 - 1 + 3).\nAnswer: -364*v**2 - 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -87, -96, -107?\n\"Answer: -g**2 - 4*g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 147, 160?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3760 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 744 - 6680\/9. Find w such that -2\/9 - 2\/3*w**4 - g*w**2 - w - 1\/9*w**5 - 14\/9*w**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26455 and 2468455.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -26795841.\nAnswer: -107183364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-400)\/(-70) - 2\/(-7). Suppose -3 = b*j - 33. Calculate the remainder when 9 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p + 3*p + 4*p - 12 - 5*p. Suppose 4*k + 4*l - 44 = 0, k - 23 = -3*k + 3*l. Let f be m(k). Let w(j) = j + 1. Determine w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1502 divided by -2.\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244*u**5 - 4*u**4 - 8*u**2 - 100947*u.\nAnswer: -4880*u**3 - 48*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.3 (c) -108 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Suppose 0 = 4*u + 4*y + 36, 5*u - y - 6 = -63. Let m(f) = -10 + 44 + 5*f - 2*f. Let v be m(u). Let q(b) = -b + 2. Give v*q(j) - 2*p(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 61?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47742, -95484, -143228, -190974, -238722?\nAnswer: -286472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 0*f = -21. Let j(c) be the second derivative of 1\/6*c**4 - c + 0*c**f + 0 + 0*c**2. Let p(i) = -i**2. Calculate j(p(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/((sqrt(10) + sqrt(60)\/sqrt(6))*-5) + 3*(sqrt(162) + 2))**2*-2.\nAnswer: -74161\/25 - 3228*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 65.7. Let y = p - -9.699664. What is y rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -323812*h**5 - h + 42299.\nAnswer: -6476240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2526553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2004688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1603303 and 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m - 146901 = 86*m + 154224. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 3087.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**2 - 9*z - 1. Let d(x) = 7*x**2 + 7*x. What is -5*d(u) - 4*y(u)?\nAnswer: 5*u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -2\/49*i**7 + 4\/21*i**3 + 0*i**2 + 1\/7*i**4 - 3\/35*i**5 - 2\/15*i**6 + 0 + i. Factor s(g).\nAnswer: -4*g*(g + 1)**3*(3*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154719, -618692, -1391983, -2474592?\nAnswer: -3866519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50914233.\nAnswer: 3, 97, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -148454 greater than or equal to -148453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287\/1912 + -6\/239. Factor 1\/8*v + w*v**2 + 0.\nAnswer: v*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 135\/216*(8*1 - 0). Solve 3*j = v*z - 5, -2*j - 3*z + z + 2 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41084, 164613, 370486, 658703, 1029264, 1482169, 2017418?\nAnswer: 2635011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 36 - (1049 - 1034)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 7, f: 4}. Give prob of sequence hhf.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllldllllldllll. What is prob of sequence ddll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-10))\/(4\/10). Let k be (c\/(-4))\/(-3*6\/36). Solve 2*a + k = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1579 - -1576. Let y(i) = 7*i - 2. Let w(t) = 13*t - 3. What is m*w(s) + 5*y(s)?\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35, -53, -83, -125, -179, -245?\n\"Answer: -6*v**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q + 2. Let g be f(2). Let c = -2 - -1.9. Is g smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 0, 0 = 5*j - 3*a - 46 - 444. Suppose -8*r = -j + 90. Let i(t) = t**3 - t. Let p(z) = -5*z**3 + 2*z**2 + 4*z. Determine r*p(l) + 4*i(l).\nAnswer: -l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -7. Let t be 1\/(3\/12) - -21. Let g be 20\/t + 38\/(-60). Which is bigger: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(15\/4))**(-10)\/(p**(-4\/5))**(3\/7))**(-1\/40) assuming p is positive.\nAnswer: p**(2601\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 111. What is the second derivative of -5*x**2 + 7*x**2 + 3*x - 3*x**5 - 3 + 23*x**5 + 6*x**w wrt x?\nAnswer: 520*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14*k**2 + 11*k + 7. Let l(q) = 7*q**2 + 3 - 7 + 6*q - 1 + 9. Give -6*g(p) + 11*l(p).\nAnswer: -7*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6 = w. Let h be (4\/w)\/((-24)\/(-18)). Which is the second biggest value? (a) h (b) 5 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20350\/29 less than or equal to 701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(-5*sqrt(360))\/(sqrt(2) - 2*sqrt(2)*-1)*-6)**2.\nAnswer: 450002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-2)\/(-2) + (-33)\/(-66). Find f, given that -k*f**3 + 7\/2*f - f**2 - 1 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386a7 (base 13) to base 9\nAnswer: 168201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 7798?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(13\/2)\/m*m**(-17)*m**(-1\/13)*m**(-2\/13) assuming m is positive.\nAnswer: m**(-305\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3772804 is divided by 3327?\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2140349 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4028.12 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 416 + -419. What is the closest to 0 in 1, 10, 5, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/964 - -454093\/6748. Let w = b - 67. Sort 6, w, -4, 0.1.\nAnswer: -4, 0.1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 10*d**2 - 5*d - 16. Determine a(-7).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 7*k - 1. Let o be g(6). Suppose 0 = j + 2*y - 5, -8 = -j + o*y - 3. Solve 3*w + n - 3 = 0, -3*w - j*n + 15 = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k*w - 1453890*k - 156041*w with respect to w.\nAnswer: -3*k - 156041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 - 16*i**2 - 19*i - 10*i**2.\nAnswer: -2*i**2 - 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 8*l**2 - l - 5. Let t be o(-8). What is the tens digit of -4*(t - (-53)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, c: 2}. What is prob of sequence coc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkyukykyk. Give prob of sequence uuy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, e: 1, d: 1, n: 1, x: 1, a: 2}. What is prob of picking 1 j, 1 e, and 2 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249 + -239. Calculate the remainder when 2213 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8817, -17638, -26475, -35334, -44221, -53142, -62103?\nAnswer: -71110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2522162 is divided by 96990.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18)\/(((-455)\/13)\/(-8190))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -18. Find the first derivative of 6*a**2 + 4 - 6*a**2 - 4*a**y wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -41*x + 126. Suppose v - 3 = -2*m, 2*v - 6 + 0 = 2*m. Let d be l(v). Solve y + 8 = 4*b, -2*b - d*b - 1 = -4*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x + x + 9*x + 3*x + 8*x + 0*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 + 0.58. Which is the biggest value? (a) r (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgrkknnkkkxx. Give prob of picking 2 n and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1136 + 2766. Let d be (-944)\/(((-66)\/273)\/(-1)). Let y = s + d. Find the common denominator of 41 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -25. Let g be (-1)\/j*-2*758. Let y = 108 + g. Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjo when three letters picked without replacement from jojoyogzggzzy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 312 = l, -146 = -4*m + 4*l + 154. Let u = m - -16. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16887 and 1?\nAnswer: 16886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -21*v**2. Let b(c) = 19*c**2. Let t(n) = 3*b(n) + 2*f(n). Let h(u) = -31*u + 14*u + 18*u. What is h(t(s))?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l**0*l*l)))*l**2*l\/((l**(-5)\/l)\/l)*l\/l**(-6\/7) assuming l is positive.\nAnswer: l**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26.58 in -3, 0.09, 4, 3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102899*q**3 + 51444*q**3 + 51447*q**3 + 4*q.\nAnswer: -8*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280666726 minus -0.24645?\nAnswer: 1280666726.24645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -3 + 7 - 16*-1 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 19*y**8\/336 + 5*y**4\/12 + 10*y**2. What is the second derivative of r(w) wrt w?\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 988176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 4*p + 8, y = 5*p - 11. Let k = 91 - 39. Let d = k - 24. Calculate the highest common factor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -79. Factor -113*k + 33*k**2 + 12*k - 19*k + q*k**3 + k**3 + 84 - k**3.\nAnswer: 3*(k - 2)*(k - 1)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/7 + 562074*k\/7 - 321192.\nAnswer: 3*(k - 4)*(k + 187362)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 23 + 103 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8310818 is divided by 4155404.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50274, 99995, 149716, 199437, 249158, 298879?\nAnswer: 348600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117084*n**2 - 304243*n?\nAnswer: -234168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*g - 10*g. Find i such that -g*i**4 + 6*i**2 - i**4 + 5*i**4 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 5*p + 3 + 8, 28 = -4*l + p + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 391\/(-180) - 3\/60 - 1*-2. Let f = 0.7 + -1. Which is the third smallest value? (a) g (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 68 = -4*g. Which is the nearest to -7? (a) -0.2 (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311747830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/920 and 35\/8.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 26*p + 105 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, 6257, -6 in increasing order.\nAnswer: -6, -3, 0, 1, 6257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(2*27 + -2). Suppose -h = -5*p + 108. Suppose -g = g - 2*t - 16, 3*t = 5*g - p. Solve -b - 5 = 0, 4*f - 6*b = -g*b + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) 3 (b) -18 (c) 0.2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91165187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31977637 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 568193.7us in milliseconds?\nAnswer: 568.1937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + 30\/9. Let t(d) = 11*d + l - 9*d - 2. Suppose 0 = -k + 6*k - 25, 2*f + 2*k = 14. Give t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*k - 24*k - 40. Let y(w) = -5*w + 5. Let m(f) be the first derivative of -f**2 + 2*f - 1. Calculate k*y(a) - 11*m(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18 - 978\/(-36) - (9 + 1). What is the closest to -0.1 in 1, -0.5, s, 2.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10016 by -1252.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*x**3 - x**2 + 21?\nAnswer: 87*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -224, -6, 2 in decreasing order.\nAnswer: 2, -6, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -23*z - 33. Let o(r) = -6*r - 7. Let n(d) = -4*b(d) + 18*o(d). Let y(i) = -i. Give y(n(m)).\nAnswer: 16*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4715\nAnswer: -4\/4715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6, -4*l + 4 = -5*w + 2. Solve 6*q = w*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -740*q + 109. List the prime factors of z(-2).\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 30 = 5*p. Suppose 0*h = 2*r - 4*h - p, r - 19 = -2*h. Suppose -92 = -2*t + 8. Calculate the remainder when t is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 58 - (82 + -58).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 2, x: 1, v: 1, c: 2, n: 3}. Give prob of sequence xa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6524678 months to years.\nAnswer: 0.13770565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 2*v + 17, 5*v + 2 = -2*s. Suppose 15 - s = -2*t. Let f be (-1)\/t - 670\/(-15). What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (28 + -84 - -72) + 9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 770?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, -20, -147, -412, -857?\n\"Answer: -7*c**3 - 6*c**2 + 36*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 509757554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403567 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Let o = 0.7 - -0.3. Which is the smallest value? (a) -0.4 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -18. Let n = y + -24. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2354, -2\/11, -16?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*z**2 - 36*z**2 + 3*z**3)*(-57*z + 23*z + 7*z).\nAnswer: -81*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. Suppose -10 = 3*p - c. Suppose -2*m + 24 = -4*k, -5*m = k - 3*k - 20. Sort -2, p, k in descending order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52862621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 51*q**2 + 2*q - 101. Let a be z(51). Solve 5*b = -2*o - 8 + a, 6 = 2*b + 3*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.16 (b) 213 (c) 1 (d) 0.5 (e) 0 (f) 0.935\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45386.97 rounded to the nearest ten?\nAnswer: -45390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550) - (sqrt(550) + 2*sqrt(550) + sqrt(550) - sqrt(550)))\/(sqrt(1100) + -4*sqrt(1100) - sqrt(1100) - sqrt(1100) - sqrt(11)).\nAnswer: 10*sqrt(2)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 83 in decreasing order.\nAnswer: 83, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2610 - 1249. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 - 5 - (15 - 4 - 24)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3 + 152\/(-24)*-13. Suppose -b = 3*p - 4*b - 129, -2*p = -b - z. What is the smallest common multiple of 20 and p?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-4)*-1*-6*8\/(-32)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3878*p + 1045*p + 870*p + 837*p.\nAnswer: -1126*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -97 + (870\/30 - 52)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -37*t**3 - t**2 + 24*t + 23. Determine g(3).\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b + 89*b - 21*b to r + w*b and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (-128)\/7. Let c = w - 9. Let z be 12\/(-4)*6\/c. Let v(j) = 2*j**2. Give v(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 - 8*d)*(-2*d + 5*d - 2*d) - d**2 + d**2 + d**2)*(3*d + 54 - 54) as j*d**3 + m + o*d + b*d**2 and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (22 - (18 + -4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 33*k**2 - 20*k - 45. What is n(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(833) - (0 + sqrt(17) + 3))*4 - (-4 + sqrt(34)\/(sqrt(2) - sqrt(8)\/(sqrt(4) + sqrt(144)))))*4*-6)**2.\nAnswer: -105216*sqrt(17) + 5114384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1039362, 2078724, 3118086?\n\"Answer: 1039362*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172, -177, -182?\n\"Answer: -5*o - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/17 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -45*y**2 - 619*y - 26. Is k(-12) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {x: 5, l: 7, s: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242.66425 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 72, 113, 182, 285, 428, 617, 858?\n\"Answer: w**3 + 5*w**2 - 3*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/594 and 76\/33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -550874?\nAnswer: 550875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/59, -4, 13, -7.7, -2?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95019396, 95019392, 95019384, 95019372, 95019356, 95019336?\n\"Answer: -2*j**2 + 2*j + 95019396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 678033289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826892.8ng to micrograms.\nAnswer: 826.8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-4))\/((-1)\/2). Let t = -4 - s. Solve t*w - 3*b = -14 - 8, -2*w - 3*b + 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -17.\nAnswer: -59\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -18. Let w = b + -1. Solve w*f = -2 - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-14 + 12 + -3 + 9 - 14).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. What is the third derivative of 2*j**5 - j**2 + 2*j**2 + 4*j**2 + 4*j**p wrt j?\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1782015052 + 18\nAnswer: 1782015070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -5*j, 0*o + 26 = 2*j + 4*o. Suppose t = 2, -1 = -5*w - 4*t - j. What is the tens digit of (4\/w)\/(2\/(-77))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1348, -5434, -12254, -21796, -34048, -48998, -66634, -86944?\nAnswer: -109916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202 + -69. Let c(o) = 4*o**2 - 2*o + 1. Let j be c(1). Let s(n) = 3*n**2 - 3*n + 1. Let a be s(j). Calculate the greatest common divisor of i and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 - 3*s - 1. Let l be t(4). Suppose -l*k - 150 = -4*q - 41, -5*k - 40 = -q. Solve 5*d = -20, 2*d = -3*b - 2*d - q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501941641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72694 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 - (2 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -55.77. Let i = -0.2300176 - b. What is i rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**5\/60 - 17*p**2. Let j(b) = -16*b + 10. Let r(o) = o - 1. Let z(n) = -2*j(n) - 20*r(n). Determine k(z(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 118. Suppose -s*r + 26*r - 78 = 0. Let p = -0.8 - -1.1. Is r at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 616299\/32 + -19257. Find the common denominator of 29\/6 and b.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6412436 (base 7) to base 16\nAnswer: bd8f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/16)\/1)\/((-28)\/(-16))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100011001101 (base 2) to base 8.\nAnswer: -214315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2837 and -4?\nAnswer: 11348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(315) - (sqrt(315) - (sqrt(315) + sqrt(315) + -2*sqrt(315)) - sqrt(315) - sqrt(315))) + sqrt(315)))\/sqrt(7) + 2)**2.\nAnswer: -36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -1012002110120201?\nAnswer: -1012002110112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 25006170?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 + -303. List the prime factors of l.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055423 is divided by 15991.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2))**(6\/7)\/(j**(-4)\/j**2) assuming j is positive.\nAnswer: j**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3090 - 5?\nAnswer: 3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*q + 70 + 81 + 114 - 480*q**3 - 197 + 848*q**2 = 0. Calculate q.\nAnswer: -1\/4, 34\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 34*q**2 - 9*q. Let w be l(5). Suppose y = 5*z - 1187, 4*z - 5*y - w = 153. List the prime factors of z.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -947\/413 - -169\/59. Suppose 4\/7*h**2 + 0 + 2\/7*h**3 - 2\/7*h - b*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 2. Let r be o(3). Let j = -6 + r. What is the greatest common divisor of j and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -1\/3*d**3 - 5*d + 0*d**4 + 0 - 1\/21*d**7 + 0*d**5 + 0*d**2 + 0*d**6. What is the second derivative of l(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/6)\/(r**(-6)*r*r))\/(r**(-4)\/r)**(-9\/4) assuming r is positive.\nAnswer: r**(-101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -34. Suppose 3*t = -n + 298, 3*t - 294 = -n + 2*t. Let z = n + b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297137 is divided by 242.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -77*w**2. Let g(m) = -2*m**2 - 2*m**2 + 753*m - 753*m. Determine -56*g(u) + 3*x(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4\/5*b**3 + 0 + 32\/5*b**2 + 28\/5*b = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 17c?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w - 2. Let c(v) = -v**2 - 27. What is c(y(l))?\nAnswer: -64*l**2 - 32*l - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38184 divided by 2?\nAnswer: 19092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1607506417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -f + 3*f, 2*f - 11 = b. Determine v, given that 0*v**2 + v + f*v**3 + 2*v**3 - 2*v**3 + 5*v**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 225. Suppose 3*z + 0*z - h = -4*l, 4*l - 65 = z. Suppose -y + 3*y + 10 = -3*d, y + 4*d = -l. Is y at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44316 and 19944?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 38*y - 1959. Let f be s(52). Let t = 23 + -6. What is the greatest common divisor of t and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61530 and 34878?\nAnswer: 357673890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -262)\/(-9) + 87\/58.\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2429839\/323 and 7523 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13768070 is divided by 202471?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 34. Suppose -3*x = 4*a - 55, 2*a = 5*a + 6. Suppose 5*l - 4*l - x = 0. What is the lowest common multiple of m and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b19c (base 15) to base 14.\nAnswer: 234000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -700 - -120?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283950?\nAnswer: 2, 5, 17, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + -2586.58. Let l = j + 2737. Let k = 61 - l. Round k to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8539.496 litres in millilitres?\nAnswer: 8539496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*i + 46. What is the units digit of ((-6)\/12 + 0)\/(i\/(-2018))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r - 6*r + 6*r)*(-r + 9*r + 0*r) + (0*r + 5*r - r)*(2*r + 2*r + 3*r).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-22)\/n)\/(n\/(n*n**1)))\/(n**(-9)*n)**(3\/13) assuming n is positive.\nAnswer: n**(-262\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16376045891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79807 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22754*a + 22754*a - 11*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 10*p**2 + 2*p - 17. Let k be f(10). Let i = -6 - -10. Solve 0 = 4*v - k*v + i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2. Let j(d) = 11*d**2 - 88. Let y(q) = -j(q) - 44*z(q). Let t(h) = -22*h**2. What is y(t(b))?\nAnswer: -5324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/6 + 2378*m**4\/3 - 2832194*m**3\/3 + 3766752*m**2 - 3763584*m.\nAnswer: -m*(m - 2376)**2*(m - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.576 * 154.\nAnswer: -7634.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 - -187. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let c(a) = -a**3 - 2*a**2 - 2*a - 3. Let s be c(o). Calculate the common denominator of -9\/10 and (-745)\/30 + s + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - -53. Is (j\/(-6))\/((-1)\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2019\/7 - -289. What is the third smallest value in 6, 4, n, -6\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.998677 millilitres in litres?\nAnswer: 0.000998677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-16)*-4 + 0 + 2. Which is the second smallest value? (a) m (b) 1.3 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 9*b - 166. Let z(m) = 3*m**2 - 10*m - 190. Give -3*k(r) + 2*z(r).\nAnswer: -3*r**2 + 7*r + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.517333 to three dps.\nAnswer: 10.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(968))\/(sqrt(8)\/(sqrt(6)\/sqrt(3))).\nAnswer: 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*d - 3*j, -2*d + 66 = -5*j + 81 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -46 + 38?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4233262 (base 9) to base 3.\nAnswer: 11021010022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2714004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78330 and 28980.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2528 and 119\/1248.\nAnswer: 98592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649864 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155.76 + -0.044.\nAnswer: 155.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4896\/396)\/((-4)\/(-44)*-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*249*81*(-93)\/(-22599)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454742 is divided by 6219.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 - 42 = 0. Suppose 14*g - 100 = d*g. Calculate the highest common factor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8435.02 and 2.\nAnswer: 16870.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3837603 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8423 + -0.3423. What is the third smallest value in -3.64, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -332*g + 10. Let a(l) = 3*l + 9. What is a(r(w))?\nAnswer: -996*w + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2137 - 74*g + 2137 - 5*g + 9*g.\nAnswer: -70*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 6*h**2 + 2*h - 1. What is u(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 14 + 1 = 0. Is (-1)\/v + (-2412)\/(-54) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 + (-14928)\/(-192). Suppose -w = -80 + v. Solve -4*d - 2 = -b - 14, 3*b + 18 = w*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 446*f**3*m + 2*f*m - 1018*m - 14 wrt f?\nAnswer: 1338*f**2*m + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.039767 + -223921.960233. Let i = z + 223887.99906. Let k = 34 + i. What is k rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from vvvwowwowp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 491*d**3 + d**2 + d + 1. Let k be u(-1). Let y = -17232 - -17394. Let r = y + k. Round r to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 79542*s**2 + 79540*s**2 + s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -1 - (-10 + -6) - 20.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*x = -41, 4*y + 36 = 3*x + 68. Let c(i) = -38*i**3 - 8*i**2 - 8. Let v(n) = -25*n**3 - 5*n**2 - 5. Calculate y*c(g) - 8*v(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = 8 + 2. Let k = 0.06 - 4.06. Which is the biggest value? (a) k (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/10*4)\/(12\/(-15)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*f + 2 + 24, 0 = -2*f + 3*c + 15. Let n be (-10)\/f + (-5)\/15. What is the tens digit of (19 - (-2 - -1)) + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0032 - -278?\nAnswer: 280.0032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -123 + 26*u + 103 - 18*u**3 - 26*u + 2*u**2 + 2*u**2 as t*u**2 + b + p*u + s*u**3 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -283 - -285. Let y = -1 - -4. Sort r, y, -50.\nAnswer: -50, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba47 (base 12) to base 15\nAnswer: 611d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 7083.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1.8 (c) -5 (d) -217.3 (e) -0.2 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3840, 7681, 11522?\n\"Answer: 3841*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 8. Give q(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 801 divided by -5177.\nAnswer: -801\/5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*q + 0 = -51, 0 = -p + 5*q + 45. Solve -31*v + 49 = -p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -409, -588, -767, -946, -1125?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -49\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 345550*a + 29851200625.\nAnswer: (a + 172775)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 13) + -17 + 17 + 85?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-4)\/8)\/(168\/(-144)). Suppose 5 = x - 0. Let q be x\/3 + (-4)\/6. Calculate the greatest common factor of z and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 422751 and -9.\nAnswer: 422742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3*(-4)\/180?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 139 + 55 = -30*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10769121 by -3509.\nAnswer: -3069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/180 and -19\/5652.\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 12*j + 14. Let v(n) = -6*n + 2. Suppose -3*f = -2*f - 5*a + 3, 3*f - 39 = 3*a. Calculate the remainder when v(j) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from rrkrrrkrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) -0.3 (b) 4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -2, 66.\nAnswer: -12, -2, 0, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.195 times -1.2?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/28*(-1824)\/(-3990).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-162)*264\/55. Find p, given that -2\/3*p**3 - 2\/3*p - q*p**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28925642 is divided by 4398?\nAnswer: 4394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 236*x. Let z(o) = 44373*o. Give z(m(i)).\nAnswer: 10472028*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525282520 rounded to the nearest one hundred thousand?\nAnswer: 525300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(612\/45)*(-8)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 + 784. Suppose 0 = 4*c - y - 114. Let h(u) = -u**2 + 11*u - 7. Let o be h(7). What is the greatest common factor of o and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -2, -10, 2, -2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -31*s**2 + 0 + 1\/30*s**5 + 0*s - 1\/120*s**6 + 7\/12*s**4 + 2*s**3. What are the prime factors of p(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31536428 by -2618.\nAnswer: -12046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 16*p + 13. Let c be x(-3). Let d be (48 + c)*71\/2. Is d greater than or equal to 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 2*q - q**2. Let n(s) be the second derivative of 0*s**2 - 2 - 17*s - 4\/3*s**3. Determine w(n(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1909507\/1080 - -14149\/8. Calculate the common denominator of -73\/69 and y.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5339911637 minus 5210?\nAnswer: 5339906427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/((b*b**0\/b)\/b)*b**(-1)\/((b**3\/b)\/b))\/((b**(-3)*b)\/(b*b**(-5))*b**(-1\/4)*b\/b**(-5)) assuming b is positive.\nAnswer: b**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-2*w + 4 - 4 - 282*w - 139*w - 535*w + (9 - 9 + 3*w)*(1 - 6 + 3)) to k + b*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -17.724?\nAnswer: 18.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10425 and 2444315?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 9296, -21, -5, 1 in increasing order.\nAnswer: -21, -5, -0.2, 1, 9296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgazaazqzzzzzzzzzgzz. Give prob of picking 2 a and 2 q.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/24 + p**4\/8 + 5*p**3\/6 - p**2 - 3*p - 30. Let s(o) be the second derivative of n(o). What is s(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 151115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8828236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6056.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 12. Let p be a(10). Suppose -o + 12 = p*o. Suppose o*q - 46 = -2. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/22 and -41\/3282604.\nAnswer: 36108644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 6*u + 19. Let h be o(8). Suppose -h*j = 4*j - 441. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -32.6. What is the third smallest value in u, 15, -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4)*493\/(-44863)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*k + 4*s, -3*s - 25 = -5*k + 22. Suppose -3*f = -f + 8. Let v be 28\/49*(-14)\/f. Solve 0 = -v*t + k*t + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331\/4 - 83. Which is the closest to x? (a) -1 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 11*c**2 + 16*c - 4. What is the remainder when 480 is divided by u(12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*n**2 + 676*b**3*q**2 + 7*b**2*n**2*q - 3*b*n**2*q + 5*n*q**2 wrt b.\nAnswer: 12*n**2 + 4056*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4788 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-25*x + 21 - 27*x + 51*x)*(-12*x**2 - 21*x**2 - 8*x**2).\nAnswer: 41*x**3 - 861*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljljlllllljl. Give prob of picking 2 l.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 612, 3, -35, 4, 9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61749 is divided by 7688?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 - (-4 - 1). Suppose -5*n + 13 = -2. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 4)*1\/4. Is f at least as big as -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12478885817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-424) + (-1853)\/53 + 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44828, 89652, 134476, 179300, 224124?\n\"Answer: 44824*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 4, f: 3}. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11825 and 808830?\nAnswer: 4044150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 22.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 13) to base 6\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33123022 (base 4) to base 16\nAnswer: f6ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6. Put -2\/15, -1\/7, x, 5 in ascending order.\nAnswer: x, -1\/7, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84634.7 millilitres in litres?\nAnswer: 84.6347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let o be s + -2*1 + 1. Suppose -3*y = 7*n - 11*n + 4, -5*n = -2*y - 12. Solve k + n*k + 20 = o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - (-27)\/6. Suppose -6043 = -l*t - 293. Suppose 6*s - t = s. What is s rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1016650 and 23586280.\nAnswer: 117931400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Solve p*v - 15 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 1) + -2 - (-19 + 11). Let f = t + -1. Suppose 9*u - f = 8. Solve -u*o - 1 - 2 = b, 0 = -b - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 21 - 85. Let u be r - (12\/(-3) - -8). Is u bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 472 * -8\nAnswer: -3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v + 2. Let p(h) = 3*h - 1. Calculate 6*l(c) + 11*p(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -32. Solve 4*d = s + 4 - 1, 0 = -i*d + 2*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -54 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x - 38*x + 91*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*1*12. Let q = -1 - 6. Let m = h + q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(sqrt(405) + sqrt(405) + sqrt(405) + -2 + -3) + -3*(0 + sqrt(720)*2) + 3.\nAnswer: -153*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4434, -8549, -12664, -16779?\nAnswer: -20894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 - -254. Suppose -607 = -8*x + o. Is x less than 259\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 0 (c) 2 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488931723 + -488931673.0000067. Let o = -50 + i. Round o to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 - 399\/(-171). Solve u - 15 = -5*l, l + m*u - 7 = 2*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2185*o**3 + 209*o**2 + 209*o + 209. Let t(l) = 21*l**3 + 2*l**2 + 2*l + 2. What is -2*c(y) + 209*t(y)?\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:03 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 4) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240688 divided by -4298.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 31 + (-121 - -55).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576862?\nAnswer: 2, 11, 13, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(2 - 1 - 5)*(2*z**4 - 6*z**4 + 2*z**4).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 4*w - 121. Let x be 16\/w + (-130)\/18. Let k(c) = -c**3 - 5*c**2 + 6*c - 5. Calculate the remainder when k(x) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l**4 + 3*l + (-3*l + 2*l - l)*(-l - l**3 + l) + 1 + l**4 - 1 + l**4 + l**4 + l**4.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -601\/123 + -633713\/1230. Let w = v - -519. Find the common denominator of 2\/3*1659\/140 - 3 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -9, -2 in descending order.\nAnswer: 4, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1042, -1049, -1056, -1063, -1070?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 - 2*d + 14. Calculate the remainder when h(-7) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 26 - 21 + 3*r - 1.\nAnswer: -r - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, -0.9 in decreasing order.\nAnswer: 40, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5.9 (b) -13 (c) -1\/2 (d) -6\/7 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h**2 + h - 1. Let b be t(-1). Let s(w) = 2*w - 16. Let g be s(b). Suppose g = 2*j - 12 + 10. Solve 3*m = 3*d, 2*m - j - 2 = -d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/(-75))\/(2\/3)*10\/(16240\/14).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.013 - 0.289. Let x = -0.024 + i. Which is the nearest to 1? (a) 5\/4 (b) x (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 841 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:37 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000099 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/5 - 64*v**4\/5 + 25*v**3 - 62*v**2\/5.\nAnswer: v**2*(v - 62)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-9)*(-60)\/(-8). Suppose -m = -2*m + k. Calculate the highest common divisor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483552268?\nAnswer: 2, 120888067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 19542*c + 19532*c + 103 = 0, -5*c - 110 = 5*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1283, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3035+25.6\nAnswer: 25.2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9671101 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 562 + 546 - 1121 - 30*d - 126*d in the form s + l*d and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 42. Suppose 9*k = -0 + b. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (sqrt(540) - 2*sqrt(540))*-1) + sqrt(540))\/(sqrt(768) - sqrt(768)*-2 - sqrt(12)) + sqrt(495)\/(-4*sqrt(44)\/sqrt(4))*3.\nAnswer: -195*sqrt(5)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41249 - -41253. Solve -g - m = -y*g + 18, 4*g + m - 24 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -9. Suppose -4*y = z - 3*y + a, -z + 1 = -y. Suppose -4*p - p + 100 = z. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2158760605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -16. Let y = 1 - r. Which is the second smallest value? (a) y (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 3*k - 293, 3*h - k - 226 = 0. Suppose 0 = -3*r + h + 292. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 2)\/(-2*1). Suppose -3*t = y - 3457, -3*t - j*y - y = -3469. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -a + 7 + 1, 4*a - g - 21 = 0. Suppose -a*u = -m - 97, 2*u + 2*m - 12 = 34. Solve -4*o = u, 0 = q - 0*q + o + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771431209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212872\/43542*(-1)\/((16\/(-6))\/(-1)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l - l. Sort -2, l, 13 in decreasing order.\nAnswer: 13, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14441 - 10200?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15d1cd (base 14) to base 3\nAnswer: -1102220200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f. Let h(i) = -22*i**2 - 104*i. Calculate p(h(g)).\nAnswer: -88*g**2 - 416*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 3214?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 + 1. Let x be q(-9). Suppose -16 = -5*d - x. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 4*l + 4*l + (-5*l + 3*l + l)*(-145 + 15*l + 145) + 0*l + 2*l**2 + 0*l as z + r*l + b*l**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 370 - 372 - 21*p**3 - 2*p**2 - 3*p**4 + p**4 in the form z + f*p**2 + h*p**4 + i*p**3 + y*p and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 3025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4419 - -4267. Is a at least as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5733401.\nAnswer: 5733401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*l - 1, -7 = 2*m - 4*m + 3*l. Suppose -i - 5*z = 17 - 4, 3*z - 57 = 3*i. Let j = i + 21. Solve 9 = m*p + j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1402381*c**3 - 264650*c**2?\nAnswer: 8414286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21095 - 40483\/2. Let t = u - 871. Find the common denominator of t and 3\/5*310\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32378*v**3 + 795*v**2*x - 2*v - 23931906*x wrt v.\nAnswer: 194268*v + 1590*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 800, 1177, 1554, 1931?\n\"Answer: 377*t + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148.74963 + -0.00963. What is b rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1139 (base 10) to base 5.\nAnswer: -14024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/((q*q\/(q*q**(3\/5)))\/q))*q)\/q**5)**41)**(27\/4) assuming q is positive.\nAnswer: q**(-25461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 44*w - 31*w. Let p = -5 + 2. Let m be (-1)\/p + 8\/12. Sort w, 2, m in decreasing order.\nAnswer: w, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -88.99. Let z = t + 0.19. What is z rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 7453576?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1414 + -1413.9. Which is the second smallest value? (a) 251 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*q - 2 = 13, -5*a = -2*q + 60. Let t = 0 - a. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653335.\nAnswer: 5, 41, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -738*l**4 + 2*l**3 - 14*l**2 + l - 20994 wrt l.\nAnswer: -8856*l**2 + 12*l - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - 14*q**2 - 13*q + 67. Let b be h(4). Let r(y) = y**2 + 16*y - 7. Determine r(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291022550 divided by 124475\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 + 3*m + 1. Let h be o(-2). Let y be 9\/2 + (-6)\/4. Suppose -2*i + y = -3. Solve -3*r = -4*v - 8 - 7, -i*v - 6 = h*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g**4 + 10*g**3 + 2*g**2 - 7*g**2 + g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = 0, 2*c - 3*j = -2*c + 9. Let p(y) = y**2 + y - 50. What is p(c)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 102?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 284?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 7941 = g - 7944, 8 = -8*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 55*f**2 - 35*f + 8. Calculate m(27).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 7899, -45\/2 in decreasing order.\nAnswer: 7899, -45\/2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1095 - -2164. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1.3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(8 + -4)*7\/14. What is the third biggest value in -0.7, f, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9072*c**4 + 4*c**3 - c + 1670304.\nAnswer: -36288*c**3 + 12*c**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(1\/(-3)). Suppose -3*l = -2*f + 1, f - 2*f + 3*l - j = 0. Solve 8 = f*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 42*a - 7945261 - 4273518. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 6, y: 3, f: 3, b: 1}. Give prob of sequence ooby.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = -v - 2, -3*x - 5 = -v. Solve 0*a = v*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34955720022326 and 2.\nAnswer: -34955720022324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/90 and 111\/6100.\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1244 - -361. Let q = d - -623. Let y = q + 380. Is 40 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5. Let u(o) = 1. Let m(v) = 9*u(v) + 2*z(v). Let b(f) be the third derivative of f**3 - 1\/24*f**4 - f**2 + 0 + 0*f. Give 2*b(n) + 10*m(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.3636 litres to millilitres.\nAnswer: 170363.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(-2*(-1 + 1*(sqrt(1008) + (sqrt(1008)*6 - sqrt(1008))))**2 + 5).\nAnswer: -864*sqrt(7) + 217720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -38324504\/65 > -589609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a - 3 + 2*a**2 + 0*a + 0. Let j be l(-3). Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 17*p**2 + 6*p - 22. Is 10 a factor of u(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14564*(-24)\/(-32)*(-4)\/(-6). Let a = o - -2863. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2826*x**2 - 33*x - 190. Is j(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 3*b**5\/20 - b**4\/2 - b**3\/2 + 5*b. Let c(z) = -z**3 + z**2 + z. Determine -5*c(k) - x(k).\nAnswer: 2*k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2719 - -2716. Let g = -133\/12 - -34\/3. Sort u, -1, g.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 32 - 41*u)*(-307*u**3 - 8993*u**2 + 8993*u**2) to the form v + b*u**2 + l*u**3 + q*u + k*u**4 and give k.\nAnswer: 12587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {d: 13, o: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13035?\nAnswer: 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13807016683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y - 840. Let x be (y\/(-49))\/((-2)\/(-7)). Solve 5*f = f - x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5\/3 + 14356*d**4\/3 - 71860*d**3\/3 + 71900*d**2\/3 + 23952*d - 28752 = 0.\nAnswer: -3594, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.19678 minutes to nanoseconds.\nAnswer: 3071806800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146355355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:44 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -37 - 38 + 79 - 2*s. Let x = 11 + -9. Let n(k) = 2*k + 6. Let t be n(-6). Let q(u) = -u + 1. Determine t*q(c) + x*i(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 57. Suppose 4*o = -k*c + 2, o + 2*c + 12 = 5*o. Let u(m) = 5*m**o - m**3 - 9*m**2 + 7*m - m**2. Determine u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6997010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 147*r + 45. Let z(y) = -442*y - 131. Give 17*b(h) + 6*z(h).\nAnswer: -153*h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuwwxewcwuwxww. What is prob of sequence xcx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d - 11. Let z(n) = -15*n - 23. Let b(g) = 9*w(g) - 4*z(g). Suppose 4*x + 4*y = -32, 1 = -2*x + 3*y - 20. Does 22 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1032103?\nAnswer: -1032112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/c**(-11\/3))**(1\/40))**(-14\/11) assuming c is positive.\nAnswer: c**(49\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -330*s**2 + 4*s - 4. Let w(r) = 5*r. Calculate w(x(t)).\nAnswer: -1650*t**2 + 20*t - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkj when three letters picked without replacement from {c: 1, j: 11, k: 7}.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 171005677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -23\/1485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.189531 - -0.17778. What is k rounded to 4 dps?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3 - 30. Let x(h) = 14*h. Determine x(t(b)).\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooq when three letters picked without replacement from qoqqoqqqqqqoqqqqqo?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x - 81. Let t(j) = -7*j + 54. Let m(v) = 5*c(v) + 8*t(v). Let f be m(0). Suppose 0*o + 3*o - f = 0. Solve -o = 4*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 - 7 = 0. Let x = z + 0. Let v(u) = -10*u**2 + u**2 - 2 + 1 + 0*u**2. Give v(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4285*b**2*u*x**3 + 526*b**2*x**2 - 2*b*x**3 + 7*u*x with respect to u.\nAnswer: -4285*b**2*x**3 + 7*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 5*q + 5. Let l be c(5). Let y = 3 - l. Let i be (-5)\/(-9)*3 + y. Is i >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + s + 2 = -1, 2*s + 6 = -5*a. Suppose 3*x = 5*l - 59, 0 = 2*l - 8*x + 6*x - 26. Solve 2*i - 3*i = 2*d - 4, a = -2*i + 2*d - l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63119.93 years in months?\nAnswer: 757439.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380246 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 2 + -2)**2 + -4.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/9913033 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -44) + 55 - 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46597 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 17*a - 3*k + 420, 30 = 5*k. Sort a, 3, -3 in ascending order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -35*u**3 + 2*u**2 + 27*u + 57. Give s(-2).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*2\/(-18)*3. Let t(s) = 8*s + 13. Is t(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36075 divided by 2775.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*9\/450*-10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906776367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53837, -53836, -53835?\nAnswer: -53834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v. Let m(i) be the third derivative of -10*i**2 + 0*i**3 + 0*i - 1\/12*i**4 + 0. Calculate m(p(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:36 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15272)\/(-1494) - (-4)\/(-18) - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 179045042*k**3 + 179329826?\nAnswer: 537135126*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-325)\/(-2535)*13*-39.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.9097795 to 2 dps.\nAnswer: -91.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21*s**2 + 1005*s - 5999. Give z(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10) - (1 + (-132)\/10). Suppose 0 = -26*a + 23*a - z. Let i be a*((-1)\/(-4) + -1). Solve -3*q + 7 = -s, 0 = -5*s + q + i*q - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1921, 4692, 28367, 77636, 161031, 287084, 464327, 701292?\nAnswer: 1006511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*z + 137379 - 43995 = 0, 3*a = 4*z + 56037. What are the prime factors of a?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -3, 1.\nAnswer: -24, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.03, 110, -167.\nAnswer: -167, -0.03, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-55) + (-4244644)\/(-44) 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 acbyvaaa. Give prob of sequence ca.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(6\/17)\/p)\/(p**(2\/15)*p*p))\/((p*p\/(p\/(p\/(p\/p**(4\/9)))*p)*p)\/(p\/(p\/(p*(p*p**(-15))\/p)))))**(-6) assuming p is positive.\nAnswer: p**(27884\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 27*f + 27*f + 6 - 55*f. Let r be k(5). Suppose 0 = 4*p - 5*l - 12, -p + l = 1 - 4. Is r >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2 - 25. Let x(p) = -2*p**2 - 21. What is x(t(q))?\nAnswer: -8*q**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 20582968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-60)*10*2\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000023697565 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 23 - -42) + -14 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(405)\/(-5*sqrt(9)*-3))\/((sqrt(144) - sqrt(144)*-3)*-5)).\nAnswer: sqrt(5)\/300 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Suppose 4*h + x - 60 = 6*x, 2*x = -3*h + 45. Let a(v) = -v - h + 27 - 14. Determine -3*a(q) - 2*t(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/17 (c) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6. Let t be (f\/10)\/(2 - 1). Solve -3*g - 2 - 2 = -4*a, t = 3*a + g - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -201.\nAnswer: -60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1261251 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*d**(1\/4)\/d*d)\/(d\/(d\/((d**(2\/3)*d)\/d)))**18 assuming d is positive.\nAnswer: d**(-337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 1321 + 1087. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 14325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -15. Let b be (((-3)\/t)\/1)\/1. Factor -1\/5*u**3 - 1\/5 + b*u + 1\/5*u**2.\nAnswer: -(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 9*w**4 + w**4 + w**3 - w**4 - 5*w**4 + 4*w**4 + (0 + w**4 + 0)*(2 - 3 - 1) + 0 + 2*w**4 + 0 - 6*w**4 - 5*w**4 + 5*w**4.\nAnswer: 2*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 110*r = 105*r - 35, 2*r + 10 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - u - 3 = 2*m, 0 = 2*m + u + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264ca (base 14) to base 9.\nAnswer: -153261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9894 - 9892. Let h = -40.9 + 41. What is the second biggest value in h, q, -5\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-10)*20\/6. Let m = k + 12. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18195826403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 126 (b) 2\/13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -825*w. Let x(p) = 42749*p. Determine v(x(g)).\nAnswer: -35267925*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/a)**(2\/33)*a**(-2\/13)\/(a\/(a**9\/a))*((a**(-1\/3))**2)**(29\/3) assuming a is positive.\nAnswer: a**(478\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 72*y - 885. Let t be f(-15). What is the greatest common divisor of t and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -46. Let z be m + (3 - (3 - 8)) - 2. Suppose -a = -5*a + 12, k + z*a - 290 = 0. What is the highest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 1, v: 2, o: 3, b: 6, h: 1}. Give prob of sequence bvgo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/12)\/((-38)\/(-8) - 6). What is the second biggest value in h, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011063857176 - -5.\nAnswer: 5.011063857176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-3*4 - sqrt(133) - sqrt(133))\/(sqrt(252) + ((-1*sqrt(252) - sqrt(252)) + sqrt(252) - sqrt(252) - sqrt(252))) - (1 + sqrt(1539)*-3*-2)*1.\nAnswer: -317*sqrt(19)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -18 - 1614. Calculate the greatest common divisor of 34 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 21 = -2*w + 4*t, 4 = -2*t. Let d = w - -14. Suppose -d = 3*m - 4*m. What is the least common multiple of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 188\/15243 or -1?\nAnswer: 188\/15243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -0.098, -0.17.\nAnswer: -11, -0.17, -0.098, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, a: 3, m: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43781828 is divided by 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19781544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m**3 - 555*m**2 + 27*m - 30. Let n(t) = 3*t**3 - 111*t**2 + 5*t - 6. Let j(b) = -11*n(b) + 2*x(b). What is the second derivative of j(c) wrt c?\nAnswer: -6*c + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(4)\/(sqrt(32)*6) + 5 - (3*-2*sqrt(10))\/(sqrt(10)\/sqrt(72)).\nAnswer: 9 + 865*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:04 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (341\/496)\/((-2)\/(-16)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-9)\/(-6) - (-70 - 1). Suppose 0 = -72*m + w*m + 4*y + 440, -m + 112 = y. What is the greatest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**2 - 17*d + 117. Does 10 divide x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**3 + 10*y**2 + 139. Let q(f) = 8*f**3 - 12*f**2 - 141. What is 5*q(t) + 6*w(t)?\nAnswer: 4*t**3 + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308203915?\nAnswer: 5, 61640783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3\/3 - 228*o**2 + 8132*o - 23716\/3 = 0.\nAnswer: 1, 49, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y + 54*y = 345. Calculate the lowest common multiple of 21 and y.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98626 divided by 11.\nAnswer: -8966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -54653 divided by 15?\nAnswer: -54653\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 14533 = 5*g - 14514, 4*k + 3*g + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -380 - -378. Let q(d) = -d**3 - 2*d**2 + 4*d + 4. Let v(l) = l**2 - l. Let z(j) = q(j) + 6*v(j). Let h be z(4). Sort 4, h, o.\nAnswer: h, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469694 - 0.7738.\nAnswer: -469694.7738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19706 (base 11) in base 6?\nAnswer: 331105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7953, -7954, -7955, -7956, -7957?\n\"Answer: -s - 7952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 246 + 67)*(-3*o - 4*o + 5*o) to the form a + s*o and give s.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 325 and 10556.\nAnswer: 263900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -11.1. Let t = -5.1 + k. Let g = 9 + t. Sort g, 1\/6, -5 in decreasing order.\nAnswer: g, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-13)\/(-260))\/((-2)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*p + 1059 + 1291 = 0, -2*p + 5851 = 5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67508 and -0.7.\nAnswer: 47255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-2)\/(-1 - -2)). List the prime factors of (-20)\/(-2) - (2 + x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6) + 211*(-10)\/(-4). Let d = -356 + b. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4491256889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111969\/19 - 5893. Suppose q*x**2 + 0 + 0*x = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 22\/(-8) + 3 - 195\/(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a*a**(1\/7)\/a)**(1\/2) assuming a is positive.\nAnswer: a**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 2*i - 1. Let v be h(1). Let k = 40 - 38. Solve 5*o = -v*p + 4*p - 41, 0 = -k*o - 5*p + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from aqeqnaqqntqnqnnnn?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 20, -3435 = -10*h + 5*h - 3*q. What is the remainder when h is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-18)*((-24)\/(-20) + -3). What is the second derivative of 9*v**2 + 5*v + 6 + 27*v**s - 38*v**3 + v - 15*v**2 wrt v?\nAnswer: -66*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 5*h**2 - 4*h**2 + (-2*h + 6*h - 2*h)*(2*h - 4*h + 3*h))*(6*h - 2 - 3*h - h).\nAnswer: 6*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h, 5*c = h + 50. Let x = -6 + c. Let j(g) = -g**3 - g + 1. Let v(y) = -2*y**3 + 4*y**2 - y + 3. Let a(t) = j(t) - v(t). Give a(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/6 + -17\/30. Let r = 0.5 + -0.47. Which is the third biggest value? (a) r (b) p (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 - -967. Suppose -2*u = 10, 0 = -10*c + 7*c - 2*u + l. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481073195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 874979046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*k**2 - 100*k**2 - 176*k**2 - 50*k**2 + 3 - 69*k**2 to s*k + j*k**2 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a01 + -6?\nAnswer: 119c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40683 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 10*q**2 + 14*q + 53. Let b be a(-9). Suppose 4*j - n = b, -4*n + 10 = 5*j - 2*n. Differentiate 33 - 60*i**j + 103*i**2 - 56*i**2 wrt i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (12 + -7)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3380 by 194.\nAnswer: 1690\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106985, -106983, -106981?\nAnswer: -106979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21543*c**3 + 1323*c**2 + 128604030?\nAnswer: 64629*c**2 + 2646*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:05 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 5*v + v)*(-1 - 1 - 1).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19741246903 less than -0.4?\nAnswer: -19741246903.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.05, -2\/7, 0.17.\nAnswer: -2\/7, -0.05, 0.17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2637\/21 - 8\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 + -220. Let p(d) = -6*d + 11*d - 19 - o*d. Give p(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 68?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1122 + -0.1122. Which is the closest to u? (a) -1 (b) -3.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*k + 40 = -3*f + 84*k, -4*f + 4*k = 48 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 7. Calculate j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 100*p**2 - 62*p + 137. Is l(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20805818.\nAnswer: 2, 11, 29, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831613403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 111*u - 112*u. Suppose -3*b = u*b - 1266. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1) - 56\/4. Calculate the remainder when 32 is divided by (c\/2)\/((-1)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and -111\/39508.\nAnswer: 197540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + -1 - (-170 + 173).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -y - 79. Let j = y + 76. Solve 0*f = f + 4*n + j, f - n - 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and -4\/41.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34313*b + 68620*b - 34366*b = 2832 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 15*c. Suppose c = 14*z - 12*z - 78. Solve z + 1 = 3*d + 5*b, 4*d + 5*b = 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + q + 10. Suppose c = -5*a + a - 14, 10 = -q*c - 2*a. Let g = 2 + -2. Is g < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1399 + 2412. Suppose -3*z + g - 107 = 0. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 6352.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222520 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3028 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 13 = d. Let h = d + -8. Let p be 1 + (4 - (1 - -3)). Put h, p, -3 in descending order.\nAnswer: h, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-36) + 4\/(-3). Let d be (k + -3 + 3)*-15. Let h(p) = -p**3 - 5*p**2 - 6*p - 5. Let n be h(-7). What is the greatest common factor of d and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3)*(-1 + 4). Which is the closest to l? (a) -0.5 (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10225+-0.15\nAnswer: -10225.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10119 + 13153. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29610 + 40378. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 0 - (7 - 2 - -1). Suppose z + 2*s - 1 = 0, 5*z - 93*s + 95*s + 3 = h. Let i = 1 + -0.9. Which is the nearest to 0? (a) -3\/2 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 226\/11, -3\/5, 1, 2, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160953\/37202 - 14\/1691. Calculate the common denominator of -89\/8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + 0*h**2 - 6*h**2)*(2 + 0 + 1)*(0*h + h**2 + 0*h) to o*h + v + a*h**4 + s*h**2 + n*h**3 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.0727 - -0.0727. Suppose 2*a = 5*q - 2*q + 16, 0 = 4*q + 16. Is p smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2380898016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -0.4, -1\/134, 0.05795 in descending order.\nAnswer: 6, 0.05795, 0, -1\/134, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 2*r)*(98 + 1820*r - 1139*r - 12722*r - 98).\nAnswer: -36123*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v + 1. Let h(b) = 6*b**2 + b + 1. Let g(a) = -2*f(a) + 2*h(a). Let j be g(2). Suppose 0*d = -5*d + j. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51 and 0.03.\nAnswer: -50.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1699 + -1699. Solve -5*r + 27 - 32 = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 5) + (3 + -4 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:43 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l - 72. Let m(g) = -g**2 - 31*g + 20. Let d be m(-32). Let t be c(d). Solve -3*n + t = -6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -8*b - 0*b. Let q(v) = -2*v**3 - b + v**3 - 11*v**2 + 89. Calculate the remainder when 158 is divided by q(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 10:34 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 3*z - 8, -3 = -3*z. Calculate the remainder when 107 is divided by ((-64)\/t - 2)*-3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*4*(-16)\/192\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*2\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 54. Let d(p) = -p. Let y(z) = 18*d(z) - n(z). Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201826.8545745 take away -131?\nAnswer: 201957.8545745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y - 1. Suppose 0 = -k + 2, 6 = -3*r + k - 8. What is the remainder when x(r) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 22*s = 390. Solve 2*t + t + p = 5, 5*t + 4*p = s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.1, 26518.886?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 2 - 2 + (-2 + 2 + b)*(3*b - 14*b**2 - 3*b))*(-b - 3 - 2 + 7).\nAnswer: 12*b**4 - 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 - 2*q - 8. Let k(p) = 12*p**2 - 2*p - 16. Let j(s) = 4*k(s) - 7*t(s). Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 8*w - 6. Let d(v) = v**2 - 12*v + 11. Let o be d(10). Determine n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/s**(-2\/15))\/s))\/(s*s**(3\/4)\/s)*((((s\/(s*(s**(-2\/7)*s)\/s*s*s)*s)\/s)\/s)\/s)\/s*(s**(-2\/7)\/s)\/s*s assuming s is positive.\nAnswer: s**(-413\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j + 15 = 0. Let v = 13 + -8. Suppose -4*x = -4*h - 0*h - 8, h + 2*x = -v. Put j, 4, h in decreasing order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300.0003 + -0.0003. Let h = x + -300.00000117. Round h to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 2*b**2 + 2*b + 0*b + (-2107 - 143 - 24)*(6*b - 2*b**2 - 6*b) as f*b**2 + r + h*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.4, 1\/21, -5, 4457?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 136*i**3 + 179468*i**2 + 3070608*i - 2039064336.\nAnswer: -4*(i - 142)**2*(i + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 11*l - 33. Suppose -l*g + 2*g = -18. Suppose -275 = -g*x - 3*x. Calculate the highest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 206 in -3, 2, -5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 88 + 20883\nAnswer: 20971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55221 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13, -0.5, -8\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 + 5532534*j**3 - 7652277375433*j**2 + 122435375762448*j - 489740086725184 = 0 for j.\nAnswer: 8, 2766259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhbbbtttjhbbbbtb. Give prob of sequence yh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 560, 918, 1308, 1742?\nAnswer: 2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t + z, 5*t + 6 - 2 = -4*z. Suppose -v + 16 + 14 = t. Solve 22 - 2 = 2*r + 2*o, -v = -r - 5*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.4. Which is the biggest value? (a) q (b) -3\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1.07057\nAnswer: -1.57057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 446\/4. Let y = 2 + 3. Suppose y*j + 7 = i. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 17*c + 8. Let j be o(-19). Let r be j\/9 - 2\/(-6). Suppose 4*l + 27 = 2*s + 7, 0 = -2*l - 2*s - 4. Sort r, l, -5, -7 in descending order.\nAnswer: r, l, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(1\/2)\/n)*n)\/(n\/n**(-2\/17)))\/(n**(-1)\/n)**7)**(-2\/63) assuming n is positive.\nAnswer: n**(-163\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, l: 1, c: 1, u: 5}. What is prob of picking 1 c and 2 x?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*t - 32, 3*f - 4*t = t - 5. Suppose -6*d + 18 = -30. Suppose -5*c + d*c = 6. Solve -f*h - 7 = -c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10344 divided by 862.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -0.5 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -377 - -385. Solve -12 - c = 4*i + 2*v, -8 = -4*i + 5*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from ssssusssussssu.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47a4 (base 11) to base 10\nAnswer: -6285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/8)*z*(z*z*z\/z**(-2\/5))\/z)\/((z\/(z\/(((z\/(z*z\/((z**(2\/13)*z)\/z)*z*z*z*z)*z)\/z)\/z*z)))\/z*z*z**(3\/4)))**(17\/2))**(2\/7) assuming z is positive.\nAnswer: z**(69581\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2265982516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.56 + 0.6. Let x(y) = -y**2 + 77. Let t be x(-9). Sort 0, t, 0.3, d in increasing order.\nAnswer: t, 0, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 533065900 to the nearest one million.\nAnswer: 533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*r + 71. Let z = -41 + r. Calculate the smallest common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22067, -735, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 11*c = 374 + 661 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58386*v**3 + 8*v**4 + 3*v + 644 - 6*v**4 - 58247*v**3 - 7*v**5 wrt v?\nAnswer: -140*v**3 + 24*v**2 + 834*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775583.\nAnswer: 3, 29, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3, 4*p - p = -2*q + 464. What are the prime factors of -1 + (-4)\/(-8)*p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/4*w**3 + 1\/2*w**2 + 0*w + 0.\nAnswer: -w**2*(7*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1704790 and -1704790 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/12 and -39\/90268?\nAnswer: 270804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 267567*a + 802721. Give t(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109969663.\nAnswer: 19, 193, 29989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 6*x - 17. Let n = -31 - -40. Let w be k(n). Is 208\/5 - (-4)\/w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 - 0.24. Let h = y + 0.06000004. Round h to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 2\/3 (c) -2\/9 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395514.\nAnswer: 2, 3, 7, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 16) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akkg when four letters picked without replacement from nkkakknngnngknd?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2*r - 1. Let m be f(2). Let l = -5108\/9 - -566. What is the common denominator of m\/4 + 489\/132 and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 799*x**3 + 2*x - 2 + 4*x**2 + 2*x**4 - 4*x**2 - 795*x**3 to the form v*x + d*x**2 + r*x**4 + p + l*x**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 8. Let c be a(5). What is the common denominator of (c\/(-3))\/(32\/186) and 23\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9707205 to the nearest integer?\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1881642498 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2. Let j(w) = -36 - 227*w - 225*w - 109 + 456*w. Determine y(j(t)).\nAnswer: -16*t**2 + 1160*t - 21025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*a - 46*a + 283 = -281. Suppose 3*g + 4*h - 2*h = 9, 0 = 3*g + h - 12. Solve a*y + 16 = -g*p - 2*y, 4*y + 16 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (66\/(-44))\/((-2)\/(-2224)). Does 7 divide b\/(-30) + -7 - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*709.\nAnswer: 56.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 5142 - 3034 = -5692. Calculate the smallest common multiple of s and 65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, y: 2}. What is prob of sequence yy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 19*r**2 + 18*r - 24. What is a(18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + -1.2. Let a = l - 56. Let x = -60.916 - a. What is x rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3 (c) -507 (d) 5 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, 0, 1936, 4, 2, 3 in decreasing order.\nAnswer: 1936, 4, 3, 2, 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h*q*v**3 - 2*h*v**3 + 3*h - 8*q*v**3 - q*v**2 - 4*q + 2*v**2 wrt v?\nAnswer: 24*h*q - 12*h - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 928, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 3*q**2 + 3*q. Let d be (-2)\/(-4)*6*1. Let o be s(d). What is the greatest common divisor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 38. Let q = 6.000156 + x. What is q rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8213*i**3 - 2744*i**3 - 2741*i**3 - 2741*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - -0.4. Let q = -78 + 78.5. Put y, q, -3 in decreasing order.\nAnswer: y, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10145541 - 3?\nAnswer: 10145534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -1815?\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -13 - (-1 - -1). Let d(p) = p**3 + 10*p**2 + 1. Let r be d(q). Let i = -20 + 20.1. Which is the closest to r? (a) 0.5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0303 and 1912.4.\nAnswer: -57.94572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*g - 119*g + 8. Let s(y) be the second derivative of 3*y**5\/20 + y**4\/2 - y**3\/6 + 9*y**2\/2 + 3*y. Is s(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4971982 times -1\nAnswer: -4971982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllpple. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 36060*c - 540910. What is f(15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -285 + 129 + 249 + -175.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 1. Let b be z(-3). Let j be 6\/63 - 575\/525. Let n be 2*(-6 - j) - -13. Solve -o + b = -n*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 631023*f**2 + 609*f**5 + 337*f**5 + 1843*f**5 - 630374*f**2 wrt f.\nAnswer: 167340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/75)\/(4*(-8)\/(-96))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 98. Let z = x + 72. Which is the biggest value? (a) 4\/7 (b) 1\/2 (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4670.977 kilometers?\nAnswer: 4670977000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b - 10*b = -62 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:10 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.2. Let k = 1.11 + 0.89. Which is the nearest to y? (a) k (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 34. Let d = n + 64. Suppose -w - d = -3*b, 5*b - 8 = 5*w + 37. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 132729500810090 and -4.\nAnswer: 132729500810086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 88\/(-16)) + 6\/(-4). Solve x = -10*g + 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -287 - -70989?\nAnswer: 70702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3227 * 0.4.\nAnswer: 1290.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -290*z + 6412. Calculate w(21).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -64309283*-1\nAnswer: 64309283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13422*d + 156 = -13410*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 1\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(20\/(-15)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 19223*d + 6 = 19213*d, -5*l = -4*d + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = 0, 2*s - 32 = 7*z - 3*z. Determine t so that 5 - 2*t**3 - 5 - 9 - 3*t - s*t**3 + 7*t**3 + 5*t**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92189998.\nAnswer: 2, 79, 583481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-2) - (-2584)\/(-340)) + 1323\/5. What is the greatest common divisor of 2310 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 829*r. Let c(f) = 4*f**2. Calculate j(c(o)).\nAnswer: 3316*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 20. What is the least common multiple of 6\/(-21) - (35002\/(-154) + 29) and h?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4642129 = -0.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**4\/6 + 5*h**3\/2 - 40*h**2. Let q be s(-3). Solve 0*u + 3*u - q = 5*a, -2 = -2*u + 5*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13))**(-30)\/(((m**(-3\/2)\/m)\/m)\/m*m\/m**(-9)*m) assuming m is positive.\nAnswer: m**(-289\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33b44 (base 16) to base 10.\nAnswer: 211780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 81, -3, 0.6 in ascending order.\nAnswer: -3, -1\/3, 0.6, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 535.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 178 and 0.04.\nAnswer: 7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 802 and 121022602?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12025 and 175?\nAnswer: 84175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32698825 to the nearest integer?\nAnswer: 5718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.086 + 0.586. What is the biggest value in -3, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/2100 + j**6\/225 + j**5\/75 + 13*j**3\/6 - 4*j**2. Let x(g) be the first derivative of a(g). Find n such that x(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/10 - 551*g**4\/6 - 2*g**3\/3 + 53*g**2\/2 - 2*g + 168. Find the second derivative of y(k) wrt k.\nAnswer: 12*k - 2204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32843.9ml to litres.\nAnswer: 32.8439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023698716 rounded to six dps?\nAnswer: -0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*y - 238*y + 12*y**3)*(0*y + 3*y - 4*y) + 1 - y**4 - 1.\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93.5 - 93. What is the nearest to -0.3 in 2\/17, z, 0.6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 + -4 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130525719.\nAnswer: 3, 463, 93971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 126\/(-30)) + (-78)\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 - -1.01.\nAnswer: -79.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36336.999966766 + -36337. Round r to seven decimal places.\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -2*q**3\/3 + 2*q**2 - 16*q. What is the least common multiple of f(-4) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n, -5*r - 8*n + 25 = 10*n - 23*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448)*1*2 - ((sqrt(425) + 1)*-2 + 0)**2) + -4.\nAnswer: -1708 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 2\/371 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3472 and -23\/868?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7 - 5. Suppose -x*f + 19 - 7 = 3*l, -5*l + 20 = f. Is ((-8)\/l - -4) + 189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/15 + k**4\/8 + 2*k**3\/3 + 10*k**2. Let v(w) = 5*w**2 + 4*w + 5. Give 4*p(u) - 3*v(u).\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 4. Let k be i(2). Suppose -20 = -4*d - 2*a, -k = -3*a - a. Find the first derivative of -8 - t**d + 1 + 5*t**4 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 45*v. Let m be d(1). Let b = m - 11. What is the remainder when 135 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 13) in base 7?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 16758*f**3 + 70224397*f**2 + 140398524*f + 70190884 = 0. Calculate f.\nAnswer: -8378, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 + 596*y**4 - 2*y**3 - 447*y**2?\nAnswer: -120*y**2 + 14304*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5590.\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7379 and 4710?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i**2. Let t(k) = 38*k**2 - 6*k - 6. Let p(u) = -1066*u**2 + 169*u + 169. Let r(h) = 6*p(h) + 169*t(h). Determine l(r(o)).\nAnswer: 7436*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11949145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -62730346 (base 8) to base 5.\nAnswer: -11404132334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 113. Suppose -s + f + 67 = 0, f + 161 = 3*s - q. Suppose -9*z - 2 + s = 0. Solve z = -2*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3663 = -390. Suppose 12*w = 10*w + i + 2194, 3*w + 3*i - p = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*i - 160*i + 420*i = -59813 for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 f when three letters picked without replacement from abyyyybytyuyfya.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1693 = -3*q - 574. Suppose q = -0*m - m + 2*u, -3*m = -4*u + 1125. Let t be m\/(-13) + (-10)\/65. Solve -a + 4*j = 17, -4*a - t = -j - 2*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1507 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*((-96)\/40)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12*3\/(-30)*(-2680)\/(-20904)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -50. Let k = q - -19. Suppose 0 = -k*m + 2*m + 20520000. What is m rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -83, -105, -105, -77, -15, 87, 235?\n\"Answer: i**3 + 2*i**2 - 51*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*33\/(-18)*(5 + -1). Let h = -19 + d. Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 2. Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 11*i - 137. Let d be b(7). Calculate the common denominator of (3\/d)\/((-30)\/(-555)) and -39\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79aab (base 12) to base 10.\nAnswer: -162275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-194)\/66)\/((-12)\/258). Let x = p - -18\/11. What is the smallest value in 23, -2\/11, x, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*j + 1239 + 848 = 610*j - 15643 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -3 - (-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61000, 59048, 57096?\n\"Answer: -1952*h + 62952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21*p + 262 + 258 = 0. Solve -2*f - p = 3*k - 7*f, -3*k - 2*f = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -0.1 (b) 39558 (c) 4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -120166 and -272.\nAnswer: -120438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95321470553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, r: 2}. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.6034 micrograms in nanograms?\nAnswer: 678603.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/22 and 149\/327846.\nAnswer: 3606306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-12*(-42)\/1008).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.91, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.91, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 - 11816*c - 13065810.\nAnswer: -2*(c + 1185)*(c + 16539)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 85, 2\/3, 5, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*j - 4608 = -3*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-21)*7\/12*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137279724.\nAnswer: 2, 3, 11439977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 + y - 1. Let u be c(2). Let x = -23 - u. Let b(d) = d**3 + 3*d**2 - 2*d + 5. Give b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-363)\/36 + 6\/8. Let m = 8 + p. Let x be (-17)\/7*1 + (141 - 138). Put m, x, 1\/4 in decreasing order.\nAnswer: x, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1061725 (base 8) to base 13.\nAnswer: a0c4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*z - 99 + 639 + 279 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/(-5) - 25\/(-5). Factor -8\/5 + z*p**2 + 6\/5*p.\nAnswer: 2*(p - 1)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/4 + 10*k**3\/3 + 12*k + 4. List the prime factors of f(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*g + 22 + 30, 52 = 2*g + 5*x. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3989*v - 56. Let f be a(6). Let g = f + -8331. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.098928*0.13\nAnswer: 0.01286064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n - 2*n + 16*n - n in the form c*n + f and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -1 (c) -1\/9 (d) -9\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126000 and 4410.\nAnswer: 882000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 22970 = -2121. Is l 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 11410, 11397, 11374, 11335, 11274, 11185, 11062, 10899?\n\"Answer: -d**3 + d**2 - 9*d + 11419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 12, 3*p + s - 16 = 0. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85679 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-90))\/((-6)\/(-104)*22074\/30564)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 2. Let i be c(6). Let t be (i - 3) + 1\/(-2). Factor -1\/4*s**2 - 1\/4 + t*s.\nAnswer: -(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3476.5832 - 3259.58411. Let n = -217 + t. Round n to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 4011.\nAnswer: 140385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2 + (12 - -34). Suppose -5 = m - v. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179019.\nAnswer: 3, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*j**3 + 0*j**4 + 0 - 124*j**3 + 261*j**3 - 2*j**4 - 2 - 4*j to z*j**2 + c + y*j**3 + m*j + a*j**4 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 13. Let j be p(3). Suppose 3*g = -j*w + 259, 4*g + w - 2*w - 320 = 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 20\/(-2 + 126\/60) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 484\/5 - 98. Let d = 3649 + -653169\/179. Let a = d + -183\/358. Put 3\/4, f, a in increasing order.\nAnswer: f, a, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490076533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 95 + 20*b + 7*b**2.\nAnswer: 7*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 45, 95, 165, 255, 365?\n\"Answer: 10*k**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -9*z + 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + o = -6 - 0, -2*o = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -18. What is the tens digit of (11 + c)\/((-2)\/(-38))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12412 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4924 and -1?\nAnswer: 4925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j + 3. Let f be p(3). Let i = f - -34. Suppose i*n + 270241 = -129759. Round n to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 9) to base 2.\nAnswer: -1011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlh when three letters picked without replacement from hhvhrvrrrvllhlvhrhr?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 903 in 0, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45129, 90292, 135439, 180564, 225661, 270724, 315747?\nAnswer: 360724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)\/((-5)\/35). Solve 3*p - i*p = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = 456 - 445 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 142.5. Let l = n + 55. Suppose 0 = 5*u - r - 19, 5*u + 0*r - 3*r - 17 = 0. What is the smallest value in 2, u, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*8\/8*-3*8\/(-60)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 74. What is the remainder when 66 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -802 - -802. Suppose h + 3*p - 3329 = s, 5*h + p = -p + 16580. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 1, h: 1, k: 2, b: 1, z: 1}. Give prob of sequence zzpk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 2*u**2 - u - 7. Let i be w(-3). Suppose 2*y + 29 + 20 = -5*n, y + 52 = -i*n. Let j = 18 + n. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 - (-2)\/6. What is the tens digit of 38\/((3 - 1)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 814881 and 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*q + 3*y - 102, -130 = -3*q - 5*y. Let p = 55 - q. What is the greatest common factor of 40 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006311066 rounded to 7 decimal places?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2 + 6. Suppose -16 - z = -3*l. Let w(o) = o - 4 - 3*o + 0*o. What is w(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 468.\nAnswer: 1\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-14 - -8) - -17\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 14. Suppose x - 4*i = -3*x + 16, 0 = -5*x + 4*i + 16. Which is the nearest to x? (a) 3\/5 (b) 2\/13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 3. Let u(a) = 4*a + 4. Let v(z) = 5*l(z) - 4*u(z). Let y be v(-5). Suppose -y*c + 22 = -2. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15*w = -195. Suppose t = -5*b - w, b - 3*t + 5*t + 12 = 0. Which is greater: -18 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {c: 4, y: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*x + 3*m, 5*x + m + 23 = 3*m. Let f(d) = 2180275*d - 2170. Let l be f(8). Let o be (-6)\/8 + l\/8 + x. Round o to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7306*i**3*q**3 + i**3*q + 14632*q**3 + 2*q**2 wrt i?\nAnswer: -21918*i**2*q**3 + 3*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80265, 160519, 240759, 320979, 401173?\n\"Answer: -u**3 - u**2 + 80264*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356607678 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19461 less than 38.07708?\nAnswer: 19499.07708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*j - 18238 = 48, 18265 = -2*m + 5*j. Round m to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/7)*m)**(-30)\/((m**6\/m)\/(m*m**(-2\/3)\/m*m)))\/(m**(-1\/5)*m*m**(3\/5)*m*m*(m**0)**(-15\/2)) assuming m is positive.\nAnswer: m**(-8047\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -261, -1, 8, -2 in increasing order.\nAnswer: -261, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152\/13*r - 1320\/13 - 2\/13*r**2.\nAnswer: -2*(r + 10)*(r + 66)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2799 and 2.5.\nAnswer: -2796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (6 - -1) + 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let u(v) = 2*v**2 + 915*v - 131. Determine t(u(a)).\nAnswer: 4*a**2 + 1830*a - 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + l - 7 + 3. What is the units digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10877695*r - 24710. Let z(j) = 5283*j + 12. What is 6*d(t) + 12355*z(t)?\nAnswer: 5295*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -68 - 3*s + 13 + 7. Let f be h(-16). Factor -1\/2*j**3 + 1\/2*j + 0 + f*j**2.\nAnswer: -j*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646164?\nAnswer: 2, 13, 31657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1449*t + 2893*t - 52 - 69 - 1443*t to the form q + o*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*b + 14*b - 96 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 37*u - 1. Let l be k(3). Let x = 2273 + -2198. Suppose 70*r + l = x*r. What is the greatest common divisor of r and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 855, 1753, 2655, 3561?\nAnswer: 4471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6343 = -10*f + 19103. Does 92 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide (-3 - -31729) + (140 - 156)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 4750 = 12*t. Let j = -590 - t. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.349278*33.\nAnswer: -77.526174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/748731 or 0?\nAnswer: 2\/748731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1087113 - -8?\nAnswer: 108711b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 9*c**2 + c + 2. Let s be q(-9). Let z(g) = g**3 + 8*g**2 + 6*g - 5. Let x be z(s). Factor 8\/7*f + 8\/7 + 2\/7*f**x.\nAnswer: 2*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211b9 (base 12) to base 15.\nAnswer: -cd40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 29 = 27, -4*c = 5*n - 187. What is the smallest common multiple of c and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0)*(4*g - 2*g + 0*g)*(5 - 1 - 2)*(2*g + 6*g + 12*g).\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -424.1104596 - -9.37\nAnswer: -414.7404596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h + 1. Let i(o) = 12*o**3 + 11*o - 15. Let j(m) = 22*g(m) + 2*i(m). Differentiate j(t) with respect to t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3 + 3)*(-2*w**2 + 2*w**2 - w**2)*(-2*w + 6*w - w - 2*w - w + 0*w + (-3*w + 6*w - 2*w)*(1 - 1 - 1))*(5*w - 4*w - 5*w)*(0 + 2 - 4).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 7.5. Let f = 3904 + -3906. Which is the third smallest value? (a) 1\/2 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0) + (4 + 7 - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a**2 - 6*a + 26. Let q be f(9). Let y = q - 486. What are the prime factors of y?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -3*l**2\/2 - 7*l - 14. Let m(d) be the second derivative of d**4\/6 - 5*d. Determine m(t(h)).\nAnswer: 18*h**2 + 84*h + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*n*o*v**2 + 8*n*o*v - 4*n*v - 9*v**2 - 8*v wrt o?\nAnswer: 48*n*v**2 + 8*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(192) + 1)**2*-5 + -5 + (-1*(sqrt(3) + sqrt(3) + 2 + sqrt(3) + -3 + (sqrt(3) + -3)*5))**2.\nAnswer: -336*sqrt(3) - 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*l - 14, -2*l - w - 22 = 3*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(4 + 4))\/(9\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 4 = 0. Let c = -57052\/705 - -74\/141. Let h = -80 - c. Sort w, -0.2, h in decreasing order.\nAnswer: h, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14637 is divided by 1667?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) -3 (c) -0.1 (d) -0.4 (e) -1\/3 (f) 1 (g) 1\/1939\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 3 = 0. Let j = 4 + p. Let a(c) = -5 + 2*c**2 + j + 0. Let x(y) = y. Give x(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -1.3. Let f = -1.2 + m. Let i = 9\/5 - 12\/5. Which is the second smallest value? (a) i (b) f (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041953 is divided by 2771.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 66 = -408. Suppose v = 7*o - 79. Solve 0 = -l - 3*i - 2*i + 16, -3*i + o = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 2)*12\/9. Let m(o) = o - 4 + q - 2. Give m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 + 4*h - 17. Let w be b(-6). Let u = w - -61. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - k - 6*k)*(0 + 0 + 5)*(-5 + 3 + 0 + (1 + 1 - 3)*(-2 + 1 + 2))*(0 - 1 - 3) to g*k + p and give g.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:35 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + 34. Let x(j) = -5*j + 9. Let s be x(9). Let y = l + s. Is 20 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*n + 15 - 25 = 0, 0 = -53*b - 3*n + 16 + 46 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(189\/686)*4\/(-7). Let y = 19 + f. What is the closest to y in -17, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*d - 9, 0 = -5*c + 9*c - 3*d - 31. Calculate the highest common factor of 224 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925397599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143991 - 10*i**2 + 10*i**2 + 144046 + 400*i**3.\nAnswer: 400*i**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (1 - (-1 + 3)). Suppose 4*i - 8 = -2*u + 5*i, 4*u - 4 = 5*i. Let z = -2 + u. Solve -z*q - 20 + x = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -15*v + 624. Which is smaller: v or 40?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 30242 - 19087 = 3779. What are the prime factors of s?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**3 - 7*q**3 - 3*q**3 + (0*q - 4*q - q)*(-3*q**2 + 3*q**2 + q**2) - 8*q**3 - q**3 + 0*q**3 in the form t*q**2 + l*q**3 + i*q + a and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*s - 95*s - 70*s + 114*s = 7611 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a7c8 (base 13) in base 8?\nAnswer: 145246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3333351 centuries?\nAnswer: 400.00212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5206 + 5961. Calculate the lowest common multiple of a and 151.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1238019 and 3.96.\nAnswer: 1238022.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.68302782 to one decimal place.\nAnswer: 49.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*w**2 - 29*d*w - 289961*d - 77079307*w**2 + 2 wrt d?\nAnswer: w**2 - 29*w - 289961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154251 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 9, -27 in descending order.\nAnswer: 9, 5, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94.9999875 + -95. What is p rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 24*l**2 - 21*l + 5. Let d be w(23). Let f be 2\/(-6) + (-14)\/(-6). Suppose a + d = f*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*h + 1311, -3*h = -4*t - h + 1762. Let d be 2 + -8 + (20 + -7)*-22. Let z = d + t. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313 + -1 + 1 + 43 + -40 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*t - 144*t + 6632 = -39*t - 58*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32908958, -32908957, -32908956?\nAnswer: -32908955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8617.6143 microseconds?\nAnswer: 0.00000239378175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Let s be (5 + 0)*(-189)\/(-210)*-2. Give m(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254*b**3 + 29*b + 40*b - 86*b - 2 + 26*b to v*b**3 + z + h*b**2 + m*b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(11) + 5.\nAnswer: -sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35467, 141903, 319301, 567667, 887007, 1277327, 1738633?\nAnswer: 2270931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2012137 = 5*v, 3*r - 5*v - 4392698 - 1643753 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24166 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/4)\/u*u*u\/u**(1\/5)*u*u**(-2)*u**(-2\/9)*(u**6*u)\/u**(-1\/3)*((u*u\/u**(-1\/4))\/u)**11 assuming u is positive.\nAnswer: u**(896\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - 2*c**2)*(-19*c - 205 + 205) + (-1 - 5 + 4)*(-4*c**3 + c**3 - 5*c**3).\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42522 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28833519*h*r - 20299369*r wrt h.\nAnswer: -28833519*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.083 - -1.6579. Let y = v + -0.2209. What is y rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*i - 124, 4*i - i - 36 = -r. Let t(k) = 18*k - 2. Let h = 12 + -11. Calculate the remainder when r is divided by t(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 12, 18, 22?\n\"Answer: -b**2 + 11*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 7\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/60 - z**5\/40 + 5*z**4\/24 - z**3\/4 + 12*z. Solve x(v) = 0 for v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -359 - -371. Solve -t + 4*b = r, 4*b = 4*t - 9*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34d - 226?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 - 2*u**4\/3 - u**3\/6 + u. Let d(x) = x**2 + 8*x + 4. Let n be d(-6). List the prime factors of s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:19 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7000.02 milliseconds in seconds?\nAnswer: 7.00002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27248.43 - 17.59\nAnswer: -27266.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 966056?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 23 - 33. Solve z = -h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s - 24*s = 33*s + 216 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4478580 by -6.\nAnswer: 746430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5852 and 39100660.\nAnswer: 39094808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2971*m**3 + 3124*m**3 - 187*m**3.\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162035.\nAnswer: 5, 23, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9754577 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4172 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 33*k**2 - 166*k + 584. Calculate w(-26).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1061 - 1047. What is the remainder when 70 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1. Let d be (9 - 1) + (3 - 1). Suppose -2*w + d = -b + 6*b, -w + 5 = 3*b. Let p(u) = -u + 4. Let r(a) = w*m(a) - p(a). Differentiate r(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.65 + -0.74. Let z = -0.41 + 0.315. Let m = z - p. What is m rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 - 64*f**4 - 2590*f**3 + 73772*f**2 + 323960*f + 333200 = 0. Calculate f.\nAnswer: -34, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 2672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11)**(-15\/2)*(x**(-2\/53))**(-3\/16) assuming x is positive.\nAnswer: x**(-34977\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**3 + 3*o**3 + 73*o**2 + 2*o**4 - o + 2*o**3 + 4*o**3 - 15*o**3 in the form l*o**2 + y*o**3 + v*o**4 + x*o + z and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -380 (base 11) to base 4\nAnswer: -13003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7572195*g**2 - 2*g - 1749871 wrt g.\nAnswer: -15144390*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, 4, 1, 6, 6798 in decreasing order.\nAnswer: 6798, 6, 4, 3, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 8*w + 12. Let m be d(-7). Suppose 0 = m*y - 0*y. Suppose -2*v - 23 + 93 = y. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, -2, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138624 + 2\/3*y**4 + 15272\/3*y**2 + 328\/3*y**3 + 49856*y = 0 for y.\nAnswer: -76, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 4*v**2 - 2*v**2 + 6*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let h = 3 + s. What is the first derivative of -6*l + h*l + 1 + 4*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 64*u - 14. Let z be w(-15). Let i = 46 - z. Is i at most 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46170 and 281880?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/6 + 10\/15. Let r be (-9)\/p*4 - 0. Solve 0 = 2*u - r*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/12 and ((-28)\/(-24))\/(2\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*b + 3*b = -36, -2*c - 2*b = 0. Suppose 0*u = -u + c. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2774*(0 - (2\/4 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235.127 - 235. Let j = n + 73.873. Let z = -74.00000157 + j. What is z rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 728, 1456, 2184?\n\"Answer: 728*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 97.\nAnswer: 3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**8\/84 - 32*k**7\/21 - k**6\/5 + 488*k**5\/15 - 643*k**4\/6 + 160*k**3 + 1145*k**2. Factor d(t).\nAnswer: 4*(t - 80)*(t - 1)**3*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 - 2 = 0. Suppose 12 = -4*d + 5*d. Solve r - 5*g - d = 0, 0 = g + 3 - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(6\/18)\/((-4)\/246)*-2. What is the greatest common divisor of 3034 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6666003 months in decades?\nAnswer: 0.0055550025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 25 = 4*u, -5*u - l + 5 + 12 = 0. What is the second derivative of -26*w + 81*w + 11263*w**u - 11226*w**4 wrt w?\nAnswer: 444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -3. Let k be (-25 + 0)*(-3 - c). Let g = -9 - k. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwieyyeeyuei. What is prob of picking 2 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13882 - -13456. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6143 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16065 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o*o**(1\/5)\/o*o*o)\/o)**(-2\/63))**23)**44 assuming o is positive.\nAnswer: o**(-32384\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.00337 + 29. What is x rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697759682 plus -0.053079?\nAnswer: 1697759681.946921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -3, 4, -21 in decreasing order.\nAnswer: 4, -3, -4, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22832, -22825, -22818, -22811?\n\"Answer: 7*o - 22839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/(-6))\/10*75. Suppose 5*i + 5*p = o, -9*i - 5*p + 5 = -13*i. Solve -3*t - 4*b - 10 = 0, 2*t - 2*b - 3 + i = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 3, h: 5, r: 2}. What is prob of sequence aarr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*x - 2*q - 4, 9*q + 14*q + 13*q - 38*q - 2 = x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000483183 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 8*o**2 - 7*o**2 + o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b - 251. Let n = 255 + b. Is n not equal to 15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 70915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*y + 86*y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -28\nAnswer: -19\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109.3 - -109.2493. Let q = i + 0.047. What is q rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -100, -154, -260, -436, -700?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 337.47 times 8\nAnswer: 2699.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q = 0. Let u be 0 + q\/((-12)\/(-4)). Suppose 3*l + 0 - 9 = u. Solve 0 = -h + a + 4 - 0, 17 = -2*h - l*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 18*s - 15. Let r(g) = -2*g**2 + 12*g + 10. Let v(b) = 5*i(b) + 7*r(b). Calculate v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w - 67 = 12123*b - 12125*b, 5*w + 63 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5 - (-9)\/2). Let n(c) be the first derivative of 0*c + 1\/2*c**s + 1\/3*c**3 + 0*c**2 - 4. Find the third derivative of n(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (7 + (49 - 14) + -22) - (2 + 117).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -3*j + t, 0 = 4*j - 4*t - 16. Suppose m - 2 = -j. Solve -m*w - 2 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26705 is divided by 13343?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4, -4 = -r + 3*r - 4*f. Let i = 2247.9 - 2360. Let l = -112 - i. Which is the closest to l? (a) r (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 85. Solve 3*h + 5 = 2*n - 12, h + 4*n + g = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 687 - 344 + 65*q - 343 as x*q + f and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2135999, -8543991, -19223987, -34175993, -53400015, -76896059, -104664131, -136704237?\n\"Answer: -n**3 - 2135996*n**2 + 3*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let z = -267 - -265. Let c(v) = -v - 1. Let u(n) = 5. Let k(q) = 4. Let r(l) = -4*k(l) + 3*u(l). Determine j*r(b) + z*c(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1097811092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -182373478 and -364746955\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n - 23 = -3*m, 30 = 4*m - 5*n. Suppose -2*l = -m*l + 42. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23780 and -21800.\nAnswer: -518404000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3848 - 27531181.8?\nAnswer: -27531175.4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215086*k**6 + 4*k**2 + 1022?\nAnswer: 25810320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 137368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 - 4 + 5 + 6*b**2. Let s(n) = -9*n - 125. Let g(j) = -11*j - 150. Let h(a) = -5*g(a) + 6*s(a). Give x(h(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m - 18. Let d be w(-6). Let x(i) = i**2 - 13. Give x(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(19)*-2*4 - (6*sqrt(684)*-1 - sqrt(684))**2) + -3.\nAnswer: -33520 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-9))\/n)*n\/(n*(n*n*n*n\/n**6*n)\/n))\/(n**(-2\/5)*n**(1\/2)))\/((n*n**(2\/9)*n*n)**(2\/11)\/(n\/n**(-2\/3))**(-1\/8)) assuming n is positive.\nAnswer: n**(43979\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1310 (b) -10779 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 14*l**2 + 14*l - 111. Let j be w(-12). Suppose 7*z = j + 19. Solve 0*m - 3*m + 9 = 0, -3*r = -z*m + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 81 + 33. Suppose -3*q = 3*t - 30390, 3*t + q = d*t - 50644. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2710, 2711, 2712?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -28, -52, -84, -124, -172?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10310 is divided by 3425?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7 - 312\/(-42). Suppose -m*s + 4*j + 159 = -4*s, s - 4*j = 45. Solve 0 = 55*w - s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y + 161. Calculate s(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1797 + 4?\nAnswer: -1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 266453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -203793.798 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68842 at least as big as -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 7*c. Let v(f) = 26*f + 25*f + 38 - 53*f - 38. Give p(v(o)).\nAnswer: -4*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/5 + 3*w**4\/5 - 3*w**3\/5 + w**2\/5.\nAnswer: -w**2*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 - 109. Suppose -3*j + d = 2*j. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeejjmjjmmdmvj. Give prob of sequence ed.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 471 + -66?\nAnswer: 40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 746, 643, 464, 203, -146, -589, -1132, -1781?\n\"Answer: -h**3 - 32*h**2 + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/2 and (-4)\/(-18) + (-771)\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241467 - 8*q - 241467.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -36*d - 7. Let n(c) = -c + 1. Let k(r) = 4*n(r) + q(r). Find the first derivative of k(x) wrt x.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {c: 2, e: 1, q: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 - 2*t - 1. Let n = 1 + -2. Let b be i(n). Suppose -3*z + b = -35. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/360 + u**5\/12 - 25*u**4\/24 - 7*u**3\/3 - 9*u. Let d(f) be the second derivative of z(f). Determine m so that d(m) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 3. Let p(v) = 6 + 6*v - 2*v - 4 - 2*v + 1. Calculate 3*p(a) - 2*s(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:30 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x + 2. Let m be w(0). Solve 2*l = -m*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/3 - 242509*l**2\/3 - 485021*l\/3 - 80837 = 0.\nAnswer: -1, 242511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:49 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 + 5 + (3 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67532.\nAnswer: 2, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 10*s = -128*s - 100*s - 10752 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282545, 565221, 848183, 1131575, 1415541?\nAnswer: 1700225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) + (-77)\/(-44). Let r = -2 + 4. Suppose r = 2*s - p + 1, 0 = 2*s + 2*p - 16. Is s less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**6*a**(6\/5)*a*a*a\/((a**(2\/9)*a)\/a)*a*a**8*a assuming a is positive.\nAnswer: a**(944\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 - (-3 - -1). Let j(z) = 1 + 2 + 42125*z + 127878*z + b. Let i be j(-1). What is i rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-2)\/24). Let z be f\/(-27) + 29\/(-9). Are -4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1076\/19 or 56?\nAnswer: 1076\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1358 + 0.12.\nAnswer: 1358.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - m + 2*m. Let w(z) be the second derivative of 41*z**3\/6 + 2386*z. Calculate w(j(v)).\nAnswer: -41*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 61003938?\nAnswer: 305019690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2 + 4 + 708*j + 5 - 3 in the form x + y*j and give y.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f. Suppose 4*n = 2*p + n - 18, 14 = 2*p - 2*n. Let z(t) = p*t**2 - 2*t**2 + 106 - 106. What is z(y(v))?\nAnswer: 121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 9*o**2 - 18*o - 6. Let k be h(-6). Let a be (-2)\/6 - ((-4372)\/k + 7). Let y = -524 - a. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256370.\nAnswer: 2, 5, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 52*h**2 + 53*h - 5. Determine a(53).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852*l - 897753 - 812*l + 897753.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 v when four letters picked without replacement from vhxrvh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(6\/4))\/(3158\/1579)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvsvve. What is prob of sequence qs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -86602538 - -2785432\nAnswer: -83817106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16 and 75\/41194?\nAnswer: 329552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70206 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -59*k + 30. Is v(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 93, 135, 175, 213, 249, 283?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -447\/341 + 35\/31. Are -1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -7*i**5\/6 + 5155113*i**4\/2 - 5694681371257*i**3\/3 + 1397936620043377045*i**2\/3 + 798824257325880275*i\/2 - 399411857487321125\/6 = 0?\nAnswer: -1, 1\/7, 736445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - -13) - (-246 + 239)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -254520 divided by 72\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.052 - -0.052. What is the fourth smallest value in 0.3, -3, t, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3738622 is divided by 254?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7984 = -60100. Let n = j - 10783. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 + 27*g**2 - 34*g**2. Let a(o) = 6*o**2. Calculate a(h(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -127840 and 2.5.\nAnswer: -127837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u - 131*u = -7*u - 444. Suppose 0*w**2 + 4\/7*w + 0 - 4\/7*w**u = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.51469 + 0.01469. What is the second biggest value in 5, -2\/17, o?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -43. What is the greatest common divisor of c and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/4 + 9*y**4\/4 + 3*y**3\/4 - 9*y**2\/4 - 3*y\/2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164427 and 57234.\nAnswer: 3136938306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.998 + 0.002. Let w = 27.4 - l. Which is the closest to 0.1? (a) -0.4 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + b78?\nAnswer: b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 67*i. Let c(h) = h**2 + 33*h. Determine 7*c(j) + 3*v(j).\nAnswer: -2*j**2 + 30*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3, 3, 392 in decreasing order.\nAnswer: 392, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4775c4 + 8?\nAnswer: -4775ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqqg when four letters picked without replacement from {q: 11, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 2.158, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1723 = -4*g - k - 44, -k + 837 = 2*g. What are the prime factors of g?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/320*-52 + (-1000)\/(-288)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 126*u**5\/5 - 164*u - 110. Find the first derivative of f(q) wrt q.\nAnswer: 504*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -38?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 21. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -54. Suppose -9*c + y = -c. Solve c*m + 24 = m - 2*o, 20 = -5*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**3\/2 + 8664*q. Let b(x) = 2*x**2 + 5475. Give p(b(y)).\nAnswer: 6*y**2 + 16425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*l + 4*x - 40, -3*l + 60 = -x. Let o = -16 - -24. What is the smallest common multiple of o and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, -871, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49ce - 2b?\nAnswer: -49f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4852 by 21.\nAnswer: 4852\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 10, a: 1, i: 3}. Give prob of sequence ez.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 2*o, -5*o - 2 = -3*o + p. Suppose q - 1 - 3 = o. Suppose 4*x - 3*j - 15 = x, -3*x + 4*j + 18 = 0. Solve r = t - 5, x*r + q*t + 1 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let f(k) be the first derivative of -1\/2*k**2 - 6 + 0*k. Determine f(l(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 + 3*l - 19. Determine t(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -814327\/10 + 81513. Let x = 80 - s. Calculate the common denominator of x and -33\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (774\/1505)\/((-9)\/(-42)). Let -m*a**2 - 4\/5*a**4 + 0 - 12\/5*a**3 - 4\/5*a = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2471000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5951733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -98*m**3 + 20*m**2 + 38*m - 37. What is the hundreds digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*y - 3600 = y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 6*y - 8. Suppose -8 = -4*o, -3*b + o = 2*o - 23. Let i be v(b). Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 12. Suppose 4*j = 3*p + p + 24, -3*j = 3*p. Suppose -j*c = -0*t + t - 9, 5*t = c + 13. What is the least common multiple of n and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (2 - 1) + 13752\/6710. Let z = m + -4\/305. Let u = -10 - -11. Are z and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28176)\/(-1761))\/((48\/44)\/(-6)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 36. Suppose -3*p + 2*j = -764, 4*j + 210 + 562 = d*p. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/6*(-4)\/10. Let p(d) = -7*d + 9*d + d - t. Let v(g) = -4*g + 1. Determine 5*p(r) + 4*v(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-5)\/(105\/57). Suppose -6*c = 4*c - 40. Find the second derivative of -71*x + x**4 + 62*x + x**4 + v*x**c wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15087 in 5, -2\/3, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/719 - -2227\/5033. Let y(a) be the first derivative of -4\/7*a + d*a**2 + 40 - 2\/21*a**3. Factor y(k).\nAnswer: -2*(k - 2)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2317 (b) -5\/3 (c) -4.7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 906, 2980, 6956, 13452, 23086, 36476, 54240?\nAnswer: 76996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2683579 or 2683578?\nAnswer: 2683578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241 - 10?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -243, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.4, -2, 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/15*5 + 1. Let w(d) = -7*d**2 - d + 1 + 17*d**3 - 18*d**3 + k*d**2. Calculate w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 5)*(3 + 1 - 5) + 0 - 1 + 4)*(-2*c + 4*c - c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmffffmkffmmfmkfm. Give prob of sequence kfff.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 402. Let v(j) = j - 399. Calculate 4*k(b) - 5*v(b).\nAnswer: -b + 387","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 72501 and -0.5.\nAnswer: 72500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15156 divided by -842?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.006 + -0.00601. Round h to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 10*g - 7. Let o be (46\/(-3) - -6)\/(g\/(-42)). Let h = -214 - o. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*y - 7837 = 633 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.578*-783\nAnswer: 1235.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1 - (-18)\/72.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2 - -1)*-3. Let w(u) = u**2 - 3*u + 2. Let b be w(2). Suppose -3*r + 15 = -z, 3*r - 27 = -b*z - x*z. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -89, -87, -81, -71, -57, -39?\n\"Answer: 2*z**2 - 4*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -r. Which is the closest to -2? (a) -1 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19653280 divided by -40\nAnswer: 491332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:13 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1308\/21)\/(-4) - 12\/(-21). Let p be (d - -17)\/(4\/(-10)). Let o be -1 + 2 - (p + 4). Solve o*y + 0*y = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -56, 1\/11, 1, 103, -1\/5 in increasing order.\nAnswer: -56, -1\/5, -0.1, 1\/11, 1, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 2*m. Calculate x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 635422.4ng?\nAnswer: 0.0006354224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3*o + 63, -414*i + 416*i = 9*o + 13 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {r: 4, g: 4, f: 1, c: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1428 and 13\/2?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.01, 0, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 8 = -70 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-16)*-1 - -2)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 7:45 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 8) in base 16?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -3*m**5\/4 - 5*m**3\/2 + 15*m**2\/2 - 105*m - 1. Let l(z) = z - 1. Give a(y) + 15*l(y).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/15)\/(14\/(-35)). Suppose 3*o = a*v + 21, 10*o + 2*v = 12*o - 12. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqrqqqqqqqrqr. What is prob of picking 3 q?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)\/((-10)\/285). Let u = 90 - y. Let c = u + -21. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) 85 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18869 times 0.16\nAnswer: 3019.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (35226\/515)\/(-57)*8\/216\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 416 - -487. What are the prime factors of z?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r + v, -15 = -r + v - 4*v. What is the remainder when 34 is divided by r - (-14*1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 5*t - 5. Let h be u(-4). Suppose -3*y + h + 136 = 0. Let c = 99 - y. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 + -197. Let i be ((-30)\/50 + 1)\/((-14)\/20). Which is the second smallest value? (a) x (b) i (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 38. Calculate the greatest common factor of 64 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1*4 + sqrt(190) + 1*(sqrt(190) + (-2*sqrt(190) - sqrt(190))))\/(6*(sqrt(250)*-1 - sqrt(250))).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -6.2, 3, 0.3?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 3494*q + 35231. Calculate g(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/60 and -5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 10*y + 4*y to h*y + q and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24830451?\nAnswer: 3, 1217, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.04 + 0.04. Let f = 3 + t. Let k = 38 - 42. Which is the nearest to f? (a) k (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.125 - 0.025. What is the nearest to 0.1 in 4, 5\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {l: 9, a: 11}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 101.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*d - 6 + 39, -d + 43 = 3*g. Suppose -4*r = g, 5*i - 696 - 497 = 2*r. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33348.999965791 + -33349. Round j to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 27.00000035. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15 - 16 - 4*y - 14*y**2 + 10*y**2. Suppose 9*d + 16 + 11 = 0. Determine l(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + 1*sqrt(132)*-2)\/(-2*sqrt(486)))\/((sqrt(11) - (-2*sqrt(55))\/sqrt(5)) + sqrt(88)\/sqrt(2))*5)**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5960224, -5960223, -5960222, -5960221, -5960220?\nAnswer: -5960219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:05 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (238\/(-22) - 1) + (-12)\/66. Let t(l) = -3*l - 33. Let x be t(w). Suppose -12 = -2*d - d. Solve c + 4 = -d*n, -2*n + 7*n + 5 = x*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-12)*10)\/((-4)\/(-12)). Let l be (-2)\/x - 290\/(-50). Calculate the greatest common factor of l and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 = 132*z - 86*z - 101*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 67*o - 86. Let p be b(-18). Solve -8 = -p*z + 4*q, z + 2*q = -2*q + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (56\/10 + 8)\/(4\/(-10)). Let m be -205 + 0 + 10\/(-5). Let i = k - m. List the prime factors of i.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43544 + 6378 = -838*o - 8190 + 49796 for o.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 - -200. What is the third smallest value in m, 12, -0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15521)\/(-44) + (-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, 7734 in descending order.\nAnswer: 7734, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069\/(-4433)*-4*(-2)\/12?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47817830.\nAnswer: 2, 5, 4781783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2674603*g*n*y**2 + 1617168*g*y**2 wrt n.\nAnswer: -2674603*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -75 + 11*l - 2 + 173*l + 257*l. Let o(i) = -34*i + 6. Determine -77*o(b) - 6*r(b).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/7)*r**(-4))**(-3)*(r\/(r*r**0\/r))**(-4\/9)*((r\/r**(-1))\/r)**32 assuming r is positive.\nAnswer: r**(2879\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 99, 191, 281, 369, 455, 539?\n\"Answer: -p**2 + 95*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 29457141.\nAnswer: 117828564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 32*y = -29*y + 4, 0 = -t - y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/c**(1\/32)*c))\/c)**(-3\/11))**2 assuming c is positive.\nAnswer: c**(93\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w\/w**1)\/(w**1*w)**(-24) assuming w is positive.\nAnswer: w**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*g*x*y**2 + d*g*x*y + 3*d*x*y + 3*g*x*y**2 - 3*g*x + 2*g*y**2 + 5*g wrt y?\nAnswer: 4*d*g*x + 6*g*x + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 1. Let h be u(2). Suppose 2*t = -3 - 3, 5*t = -h*y. Let m = 37 - y. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - 12. Suppose 94 = i*a - 680. Calculate the remainder when a is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -104. Put 1, -4, -95, j in ascending order.\nAnswer: -95, -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.029 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002663352 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = l + 4*l. Let r(o) be the first derivative of o**3\/3 + o**2 - 7*o + 1. Is 12 a factor of r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 310 + 63*t**2 + 12*t**2 + 32*t**2.\nAnswer: 91*t**2 + 310","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 1\/55, 11, 245?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 835 and 6219065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(76))*3 + -3)**2 + (sqrt(342) + (-2*sqrt(342) - sqrt(342)))\/(2*sqrt(18)).\nAnswer: -73*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let h(m) = -9787*m. Calculate z(h(p)).\nAnswer: -19574*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 601987 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7*c - 457078*x + 366 = -457061*x, 0 = c + x - 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.558, -6, 1080?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3))\/(x**3*x*x))\/(x**(-2\/3))**(-24))\/(x\/x**(-6\/7)*x*(x\/(x\/(x\/((x**(1\/3)*x)\/x))))\/x*(x\/(x*x*x*(x\/x**1)\/x*x))\/x**(-2\/5)) assuming x is positive.\nAnswer: x**(-1882\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659755159?\nAnswer: 7, 17, 792023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3, -3*g - 4*j = 2*g - 22. Suppose -5 = -d - g. Sort -12, d, -1 in ascending order.\nAnswer: -12, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 4. Let v(s) = 3*s - 4. What is -3*q(m) + 4*v(m)?\nAnswer: 6*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4947.77 - 4928. Round w to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 8330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 32, 45, 56?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 5*o + 5*o)*(-1 - 3 + 3)*(1 + 0 + 1)*(0 + 0 + 3*o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 1\/6, -0.1, 7, -0.09, -1\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sygs when four letters picked without replacement from {g: 4, y: 4, s: 6}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-72)*(664\/(-249) - (1 - 1)\/3).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*y - 719, 0 = -3*a + 2*y + 97 + 344. What is the remainder when a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/13110 and -117\/516830.\nAnswer: 677564130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 358 and 74528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaa when three letters picked without replacement from ioaooijzjjbaooazoj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19520010 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g - 9. Let i be y(-8). Let m be ((-249)\/15)\/((-96)\/i). Let a = -43\/32 + m. Find the common denominator of a and -38\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35992493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 19.5. What is the nearest to 3 in -3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-930)\/1984*-56*64\/40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-105)\/(-15) - 7)\/6. Solve p = -23*c + 24*c + 6 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8, 8 - 48 = -5*q + 5*a. Let f be 54\/q - 4\/10. Suppose 4*c - f*c = 71. What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybyyb. What is prob of sequence bb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 9 = -2*k + 25, -k = x - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s. Let c(q) = -10*q. Calculate g(c(x)).\nAnswer: -230*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16)**(6\/25)*v*((v*v**(-2\/43)\/v*v)\/v*v)\/v*v*v*v**12 assuming v is positive.\nAnswer: v**(20203\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 9450.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22\/7, -12 in decreasing order.\nAnswer: 22\/7, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001429214 to seven dps.\nAnswer: -0.0001429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/2)\/(18\/(-1908)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16657843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 4 + (-4)\/1. Let l = 26057\/1434 + -1\/239. What is the common denominator of l and (550\/236)\/(-5) - 0\/b?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*j - q + 73, 4*j = -4*q + 104. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 - 4*m**2)*(3*m - 2*m + 0*m + (-2 + 1 + 0)*(2 - 2 - m) + 9 + 9*m - 9).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1702, 1681, 1632, 1543, 1402?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 8:02 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 3308*d - 828*d - 829*d - 822*d + 213 - 828*d.\nAnswer: d + 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8775 and 104.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 h when four letters picked without replacement from {h: 3, x: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1972792210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7317 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-1)\/(-9)). Suppose 3*h + q*f + 15 = 0, 0*f - 5 = 4*h - f. Is 5 a factor of 1\/2 + (-11)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.2, -5\/8, 0.5, -4, -23 in decreasing order.\nAnswer: 0.5, 0.2, -1\/10, -5\/8, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(648))\/(-5*sqrt(324)).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 10. Let w be h(-6). Let f be ((-18)\/3)\/((-3)\/2). Suppose -f*y = -w - 10. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1 + -1)**2 - ((sqrt(13) + sqrt(13) + sqrt(117) + sqrt(13))*4 - sqrt(13) - sqrt(143)\/(sqrt(11)*2)).\nAnswer: -69*sqrt(13)\/2 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3450)\/(-2)*6\/(-9). Is k\/(-6) - (-8)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 14. Let o = -10 - b. Suppose 200 = n - x, -2*x = -o*n - 3*n + 600. What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966430?\nAnswer: 2, 5, 7, 70949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkkqqgkqqkkk. What is prob of picking 2 q, 1 k, and 1 g?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**3 - 2*v - 1. Let s be (-9)\/6 + (-3)\/(-6). What is t(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2\/4*(3 - 428\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-3 - 8) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11134 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 4. Suppose -4*u = -n + 28, -2*u = 8*n - 5*n + 28. Let r = -5 - u. Calculate s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 32079936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498504738?\nAnswer: 2, 749252369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1172.05 from 0.119273.\nAnswer: -1171.930727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 3, -1\/5, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 206, 769, 1704, 3011, 4690?\n\"Answer: 186*g**2 + 5*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 2*p. Let v be p\/(-9)*-3 - -4. Solve -4*f + v*m + 8 = -8, -5*f = 5*m + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52459 and 619970?\nAnswer: 6819670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.012, -1280 in ascending order.\nAnswer: -1280, -0.012, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/4 + y**4\/3 + y**3 + 7*y**2\/2 - 4*y. Let u be 1\/(-1*(-2)\/12). Let z(g) = -g**3 + g**2 + g + 1. Give u*z(m) - q(m).\nAnswer: -m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 13875.\nAnswer: 1\/13875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19\/3 + 17\/3. What is the closest to u in -4, 0.4, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4202 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91085*o - 1 - 4*o**2 - 91119*o - 5*o**2 + (-2*o + 0*o + 0*o)*(o + 2*o - 2*o).\nAnswer: -11*o**2 - 34*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 43. What are the prime factors of p*((-2)\/(12\/(-111)) + 2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8127 divided by -8.\nAnswer: -8127\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689 is divided by 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1278*x**4 + 15*x**3 + 11*x**2 - 228*x - 8 wrt x?\nAnswer: -30672*x + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 14. Let l be h(14). Suppose l = -5*n + 3*z + 2*z, -n + 10 = 4*z. Solve -3 = s - n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -857*m*u**2 + 311*u**2 - 5*u wrt m?\nAnswer: -857*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32001 (base 7) to base 14.\nAnswer: 2c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(200)*-2 + -3 + ((-1 + sqrt(200))*-2 - -3*2*sqrt(200)))*-3 + -1)**2.\nAnswer: -35400*sqrt(2) + 183481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -13. Suppose -3*g + 5*g + 10 = -4*d, 2*g - 4*d - t = 0. What is the tens digit of ((-8)\/6)\/(g\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (14 - 6 - -5) - -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 51\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*h**4 - 3*h**5 - 3464*h**3 + 1755*h**3 + 1730*h**3.\nAnswer: -3*h**3*(h - 7)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:53 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**4 + 498*p**3 - 610*p**2 + 102*p.\nAnswer: 2*p*(p - 1)*(p + 51)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*u - 2, -2*v - 5*u - 2 - 1 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3 + (0 - 3). Suppose i = -0*h - 2*h. Suppose h = -w + 2*w - 5. Solve 2*v + 2 = 3*m, -v + w*m = -0*m + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by -175?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -666 - -682. Suppose 16896 = 80*l - r*l. Calculate the highest common divisor of l and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 7. Let n be u(5). Let o = n + 13. Suppose 4*g - 139005 - 8995 = o. Round g to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14217326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64 - 0.41. Which is smaller: -0.2 or r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/(i\/(i*(i*i**(-3))\/i))*i)\/i*i**(-6))\/(i**1)**(2\/65)*(i*i**(-2\/5))**(-3\/31)*i**(-4\/7)*i**(-3) assuming i is positive.\nAnswer: i**(-122153\/14105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.9. Let h = -0.2 + 0.2. Let o = 0 - h. Which is the closest to -1\/4? (a) -1 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -93*n + 22. Let t be -1 - 16\/6*6\/4. Is q(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 c when four letters picked without replacement from llalcaaca?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19.2624786 and -0.295.\nAnswer: -19.5574786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 949574863 + 2?\nAnswer: 949574865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, 298, 1\/16, -0.26, -5 in decreasing order.\nAnswer: 298, 1\/16, -1\/6, -0.26, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 28 = x. Suppose -4*j - x + 27 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3039*z**2 + 11*z + 32.\nAnswer: 6078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31195 and -2.2426.\nAnswer: 31192.7574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 992790*x**2 = 0.\nAnswer: 0, 496395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 6) to base 2\nAnswer: -11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-10) - 234\/390)\/(3\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2456, 4764, 7072, 9380, 11688?\n\"Answer: 2308*f + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/4 (b) 8 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 6*q**2 + 4. Let d be g(6). Suppose 0 = 4*v + d*a - 28, -4*v - 3*a + 33 = 2*a. Factor -4\/3*r + 2\/3 + 2\/3*r**v.\nAnswer: 2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 6. Let m = 2 - i. Suppose 5*h + 17 - 1 = 4*t, -2*t + 8 = m*h. Solve h = -f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -25, 3*p - 5*k - 22 = 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 106*q - 23 = 108*q, 13 = 3*i - q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -17*i - 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/(-91))\/(-6)*(-1)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30*240\/(-4500))\/((-4)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1151*z + 10415. Give q(7).\nAnswer: 2358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3434 + 3710. Calculate the remainder when 1107 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -81*d + 1. Suppose -y + 11 = 3*s, 6*s + 4*y - 4 = 2*s. Suppose s*n + 4 + 11 = 0. List the prime factors of w(n).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1132, -3510, -7478, -13042, -20208, -28982, -39370, -51378?\nAnswer: -65012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 3, -29, -99, -219, -401?\n\"Answer: -2*p**3 - p**2 + 11*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96158 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3393689 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - (sqrt(32) + 1*(sqrt(32) - (sqrt(32) + sqrt(512))) - sqrt(32)))\/((-1*sqrt(20))\/sqrt(5) + sqrt(100)*-2 + sqrt(100)))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 18 = 2*l. Factor -8*a**4 - 5*a**3 - 2*a**l + 11*a**4 - 2*a**3.\nAnswer: 3*a**3*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4848*o**2 + o - 1. Let v be q(1). Let y = -1171 - -1175. Suppose y*x = -4*f + v, -f + 6*x + 1218 = x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33558 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11041\/7240 - 28\/20. What is the fourth smallest value in k, 4, -25\/4, 0.5, 0.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 5 (c) -4 (d) 13197 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287.449 + 1.121.\nAnswer: 288.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 2 + 3*x + 0*x + (1 - 4 + 2)*(-4*x - 3*x + 5*x) - 3*x + x + x as t + b*x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658494996, -1316989993, -1975484990, -2633979987, -3292474984, -3950969981?\nAnswer: -4609464978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16045.964176 + -16046. Round p to four decimal places.\nAnswer: -0.0358","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + (-3 - (0 - 2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 411 - 34662166.\nAnswer: -34661755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 19, -1, -23, -47?\n\"Answer: -l**2 - 15*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -6 - (-43*42 - 5). What is the greatest common divisor of 147 and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 y, and 1 j when four letters picked without replacement from jjyyjnjy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1447*i**2 - 1681 + 237*i**2 + 1684.\nAnswer: -1210*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*t - 35, 4*x - 35 = x + 4*t. Solve 0 = -3*d + x*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56985.25 years in centuries?\nAnswer: 569.8525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92\/2035 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:44 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - l + 3. Suppose 0*t - 4*t + 120 = 0. Let f(q) = 2*q**3 - q. Let m be f(1). Let y be (m\/(-3))\/(5\/t). Let p(w) = w**2 + 1. Give y*p(j) + g(j).\nAnswer: j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)*(38\/(-6) - -6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8226646*f**4 + 8442368*f.\nAnswer: 98719752*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1474*y**2 - 729*y**4 - 630*y**4 + 17 - 308*y + 1 - 743*y**4 + 2230*y**4 - 1312*y**3.\nAnswer: 2*(y - 9)*(y - 1)*(8*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - 11521034946?\nAnswer: -11521034945.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 27355*a - 465270. What is x(17)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 213a6953?\nAnswer: 213a6954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*l - 5. Let b be l\/(-12)*9 - -26. Let q = b + -24. Are 2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1084\nAnswer: 433.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137051203.874 + -136909165. Let a = u - 142157. Let z = a + 118. Round z to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22.78223 years?\nAnswer: 2.278223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = 5*d + 10, -16 = -4*d - 4*u. What is the biggest value in 1, d, -2\/1679?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = 2*n, 2*c = 5*n + 24. What is the third derivative of 14*q**4 - 9*q**c + 2*q**2 + 8*q**4 - 5*q**2 wrt q?\nAnswer: 528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2148 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 166*f**3 + 16.\nAnswer: 166*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 + 0*t**2 - 2*t**2)*(-3720 + 3720 + 10263*t) in the form a + m*t**3 + i*t + p*t**2 and give m.\nAnswer: -10263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4\/2)\/((-10)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {x: 6, w: 2, d: 2, m: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 989719.8 centuries in months?\nAnswer: 1187663760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -574, -1302, -2336, -3676, -5322?\nAnswer: -7274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028*0.5.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1056.855.\nAnswer: -105.6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x)**(-1\/23)*x**(-2)*x\/(x\/(x*x**(-4)\/x*x))*x)\/((x*x\/(x\/(x\/(x**0\/x))*x))**43*(x**(-1\/3)\/x)**(-28)) assuming x is positive.\nAnswer: x**(-61517\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 + -109. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h - h)*(2*h**3 - 4 + 4) + h**4 + 3*h**4 + 3*h**4.\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 - -170. Suppose 19*z = 15*z + u. Calculate the highest common factor of z and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -1.32. Let y = v + -0.6. Is -2 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -5 (c) 1\/4 (d) -3.905\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from cma.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-7850)\/(-18) + (-4)\/(52 - 16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -2, -1, 1\/7, 17 in descending order.\nAnswer: 17, 1\/7, -3\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095475 - -3.99.\nAnswer: 4.085475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hixxxxhhi. What is prob of picking 1 h and 2 x?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 1702.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17019 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2 - 5*i**3 + 4*i**3 - i - 5*i**2 + 10*i**2. Let n = 21 + -16. What is v(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -618 + 623. Suppose -2*s + 809 = v - 762, 2*s - 1551 = -m*v. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88414 divided by -5.\nAnswer: -88414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-42))\/(75\/42 - 2). Solve -t*y = -4*d - 20, -3 = -0*d + 2*d + 5*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1688*k + 1711*k - 483 = 0. What is the smallest common multiple of k and 952?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 - i**3 + i**2 - 3*i - 22. Determine p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a. Let m(v) = 663 - 663 + 9*v**2. Give m(p(s)).\nAnswer: 576*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 4236 = 4*k + 2*i, 5*k - 2*i - 5304 = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 136377.7103294.\nAnswer: 136382.7103294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/40 - 3*r**5\/20 + 5*r**2. Find the third derivative of c(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7846, 31360, 70550, 125416, 195958?\nAnswer: 282176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -19, -27, -35, -43, -51?\n\"Answer: -8*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54921.47443 - -54922. What is u rounded to 3 decimal places?\nAnswer: 0.526","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00134992998 to 6 dps.\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7889?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -43, 14.77, 2, -10, -0.4, 4, 0.2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026629339 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4419 + 4418.999992616. Round t to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 15*z + 2. Suppose -p + 15 = -2*p. Let d be v(p). Solve d*q + 2*q - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32167\/203 + -169\/29. Let l = -164 - k. Suppose -6\/7*h + 4\/7 + l*h**3 + 0*h**2 = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1108160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 5*i. Let u(y) = 5*y**2 - 6*y. Suppose f = 3*d - 13, -5*d - 2*f + 8 + 32 = 0. Let r(s) = d*b(s) - 5*u(s). Let z(n) = -3*n**2. Give z(r(h)).\nAnswer: -75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -19019.53 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137315 and 475.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 7095*l - 7092 = 0. Calculate l.\nAnswer: -2364, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -124\/231, -1\/5, 3, -1.8, 0.4?\nAnswer: -124\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1354 or 5415\/4?\nAnswer: 5415\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 2 (b) 10 (c) 384 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 4*b + 2. Let o be c(3). Let k = -0.2 - 0.4. Let w = 3.6 + k. What is the third biggest value in o, w, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98038 or 97206?\nAnswer: 97206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -50725630492 less than -2697?\nAnswer: 50725627795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 2*t - 30, -24 = -14*a - 124*t + 125*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -5 - -14 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 0*b + 0*b)*(-11*b**2 - b + b) + (2*b**2 - 2*b**2 - b**2)*(-14 + 2*b + 13 + b) to the form s*b**3 + u + t*b**2 + l*b and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -977*f**5 + 4456*f wrt f?\nAnswer: -19540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 195713468.205.\nAnswer: -195713353.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.9 + -11.9. Let o = 8 + -2. Which is the biggest value? (a) o (b) 3 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 3:21 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2523, 9854, 22001, 38964, 60743?\nAnswer: 87338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -26, -98, -240, -476, -830?\n\"Answer: -4*z**3 + z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-225)*(-100)\/(-120)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1658 (base 9) to base 5.\nAnswer: -20033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose -z*y + 616 = -0*y. Let t = -32 + 46. What is the greatest common divisor of y and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -88?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 + 5. Suppose 2 = -q + 3. Let u(j) = -5*j**2 - 2*j + 1. Let i be u(q). What is f(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j - 40. Determine f(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/51)\/(36\/153). Find h, given that y*h + 1\/6*h**2 + 1\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443 (base 15) in base 3?\nAnswer: -1022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6*p = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 585 = -4*y + 6292, 5*l = -3*y + 6879. Calculate the highest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f + 245 - 3985. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -60 - -1 - (-4 + 8 + 36 - 22)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 4*g**2 + 11*g - 3. Determine h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7434 and 5.\nAnswer: 37170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 - 27*b. Let v(h) = -13*h**2 - 53*h. Let f(l) = -11*g(l) + 6*v(l). Find the second derivative of f(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -3*l**5\/20 - 5*l**4\/4 - 2*l**3 + 25*l. What is x in h(x) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 30393?\nAnswer: -30393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -526 + 526.2. Which is the third smallest value? (a) 8 (b) r (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:57 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110100001101 - 1011010?\nAnswer: 1100110010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3589196 and 720?\nAnswer: 646055280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 385120 and 2079648.\nAnswer: 10398240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0.1215, -4\/3 in decreasing order.\nAnswer: 4, 0.1215, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-18) + 1\/(-2). Let z = 0 - -0.08. Let r = z - 0.28. Which is the nearest to d? (a) r (b) -0.4 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*b + 31*b + 14586. Calculate the greatest common divisor of b and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*g + 2619 + 3477 = -74*g - 1560 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 446*x + 0 + 11.\nAnswer: 446*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.046683 and 0.04.\nAnswer: -0.006683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/60 + g**4\/24 - 19*g**3\/6 - 2*g**2. Suppose 6*i = -2*h + i - 99, 0 = -5*h - 3*i - 276. Let r = -57 - h. Give v(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3022 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -856.\nAnswer: 13696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 3. Let n(v) = 5*v - 11. Let c(m) = -2*n(m) + 9*t(m). Let b be c(-7). Calculate the greatest common divisor of b and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*z - 9612 + 96679 = 0 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(704))\/((sqrt(220)\/sqrt(5))\/sqrt(11)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*c. Suppose 0 = 5*j - 13 - 2. Solve 0 = -4*v - j*m - 2, -3*m = 3*v - 2*m + c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 1, b: 1, d: 7, i: 2, r: 4}. Give prob of picking 1 r and 1 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 150*s**3 - s**2 - 2*s + 4. Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/525 + a**6\/180 - a**5\/225 + 6*a**2. Determine h so that q(h) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(-3\/5)\/t*t)*t))\/t**(12\/11))\/(((t**(-1\/6)*t)\/t)\/(t\/(t**(2\/39)*t)*t)) assuming t is positive.\nAnswer: t**(-823\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 = 49. Let r be 11\/2 - (-4)\/u. Suppose -4*f = -y - 2*f + 22, -2*y = r*f - 17. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9404*p**3 + 3959*p - 7 - 3958*p + 5*p**2 + 231 wrt p.\nAnswer: -56424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/1421 + -2803\/18473. What is the third biggest value in 140, -4\/3, l?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x. Let k(a) = -88*a**2 + 5. Give p(k(c)).\nAnswer: 616*c**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*n = 12, -2*t - 2*n = t + 15. Let c be t*(5\/(-6) + 1). What is the closest to -1 in -0.1, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = i + 2 + 1, -l - 9 = 3*i. Let w(r) be the second derivative of 2*r + 3\/4*r**3 + 1\/8*r**4 + 3\/2*r**2 + l. Factor w(a).\nAnswer: 3*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*r + 15 - 0, -3*r = -2*v - 6. Suppose 103*j - 210 = 99. Sort -17, j, -3, r.\nAnswer: -17, -3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -610 + 889. Suppose -8*a - 119 = -n. Solve 0 = 5*k - a + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 3\/2 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpppuzppduehuuhup. What is prob of picking 1 p and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 278*m**3 - 37522*m**2 wrt m.\nAnswer: 48*m + 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 2 l when four letters picked without replacement from {c: 5, m: 2, l: 5, o: 1, w: 5, u: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3242\/595 + 696\/119. Let l = -0.5 + 0.8. Sort l, c, -5, -8 in decreasing order.\nAnswer: c, l, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.265794 rounded to 3 dps?\nAnswer: -1.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 37. Which is the nearest to z? (a) 2\/15 (b) 2 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 9 - (-2 - 4\/(-2)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3615\/40 + (-75486)\/(-8752).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-10) + -5)*((-896)\/(-48) - 6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 1:11 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(147) + sqrt(147)) - sqrt(147)) + (0 + sqrt(147))*-6.\nAnswer: -49*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (1 - 0))*3. Let a be 9\/5 - (-4)\/(-5). What is the third smallest value in j, a, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356 - 519692*d**4 - d**3 - 2*d + 0*d + 519691*d**4 to the form r*d**3 + v*d**2 + q*d**4 + k*d + a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(2\/9)))\/(r\/(r*r**(4\/9))))**(5\/14)*((r*(r*r**(-1))\/r*r)\/(r\/(r*r*r*r\/(r\/(r**(5\/4)\/r))*r)*r))\/((r\/r**(-2\/7))\/r**(2\/11)) assuming r is positive.\nAnswer: r**(2203\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y + 2. Let z = 507 - 505. Suppose -y*s + 160 = z*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*z + 12 = -11, -11 = -s - 2*z. Let t be (3\/2)\/(6\/8). Suppose -10 = -s*y - t*y. Solve -y*k + 7*k + 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7187600 and 1419400.\nAnswer: 337817200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72966 + 4d?\nAnswer: 729b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 + 3*d**2 - 2*d + 25. Suppose -6*v = -36*v + 120. Determine z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39481 + 7992.\nAnswer: 47473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(108\/10 + (-12)\/(-60)). Solve -3 = 2*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8666036300 rounded to the nearest 1000000?\nAnswer: -8666000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - f - 3. Let u be b(2). Let d(x) = x**3 - 3*x**2 - 5*x + 2. Let q be d(4). Let t = u - q. What is the smallest common multiple of t and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - 4*d**2)*(1 - d - 1)*(2*d - 6*d - 3*d) + 5*d**4 + 23*d**4 + 9*d**4 + (-1 + 2 + 1)*(d**4 + 2*d**4 - 4*d**4).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/30 - m**4\/24 - m**2. Let t(i) = 6*i**2 - 3*i + 1. Determine -7*g(b) + 2*t(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:43 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36883 - -169119. Let i = p + -86002. Suppose -v = v + i. What is v rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 90\/(-54) - 8\/6. Let t(u) = -43*u**3 + 8*u**2 - 2*u - 13. What is the tens digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -23. Let y = 0.6954 + -0.1954. Which is the second biggest value? (a) -1 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjo when three letters picked without replacement from rmkrkmrrmkrorrkrrj?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 251, 365, 505, 665, 839, 1021, 1205?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209571636 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let u(f) = f - 2. Let t(s) = -5*s + 9. Let y(r) = 2*t(r) + 9*u(r). Suppose 0 = -0*i - 3*i - 33. Let c = i + 9. Give c*a(h) - 5*y(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 11. Let w = -391.825 + 392. Let j = w - 0.375. Is r less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218250 and 1000?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 30*l. Let k be a(9). Suppose -533 = -0*o - 4*o - n, 2*o + 4*n = k. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -40*p - 167. Let q be j(-5). Let z(y) = 14*y**2 + 3*y + 6. Let u be z(-6). Suppose -q = -5*c + u. List the prime factors of c.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591 + -546 - (0 - -6).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1, 2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -33\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74, 479, 1300, 2621, 4526, 7099, 10424?\n\"Answer: 14*i**3 + 124*i**2 - 65*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8978611, 17957220, 26935827, 35914432, 44893035, 53871636, 62850235?\n\"Answer: -h**2 + 8978612*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 46*b**2 + 38*b - 76. Let j = 347 - 392. Does 24 divide i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21\/(w*((w*w*w\/(w\/(w**(6\/17)\/w))*w)\/w)\/w) assuming w is positive.\nAnswer: w**(334\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7306200 to the nearest ten thousand.\nAnswer: 7310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 117*t - 68. Give i(-57).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 26 = m. Suppose -3*p + m - 7 = 0. Let o = 1 + p. Calculate the least common multiple of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-6)*(9 - (-195)\/(-25)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 278.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3320 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 0 - 2 - 3. Let h(j) = j + 7. Calculate 5*h(q) + 7*l(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/6)\/(-2)*(-4116)\/7546?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-339520)\/768)\/((-27)\/(-12) + -2). Is -1768 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-13) - 1539\/1404. Sort -0.2, o, -4 in increasing order.\nAnswer: -4, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**3 + 0*p**2 + 0*p - 4 + 3\/4*p**4. Factor z(k).\nAnswer: 3*k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -431, 2, 1909, 1 in descending order.\nAnswer: 1909, 2, 1, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/12 - (-10)\/15. Let a = -16 - -11. Let j be (-14)\/(-35) + 3\/a. Put j, -3, q in ascending order.\nAnswer: -3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(1 + 2 - 4)*(2*v - 2*v + v**2)*(0 + 1 + 0)*(453 - 453 - 5*v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/37 in 1.5, 0.3, -1\/4, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 14. Let g = -40.1 + n. Let v = -0.1 - g. Which is the closest to 1? (a) 3\/7 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 21*l**2 - 19*l - 10. Calculate k(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -83*a**2 + 173*a - 2. Let s be c(2). Let z(d) = -3*d - 26. Determine z(s).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 532*y**2 + 25*y + 12. Let t(q) = -266*q**2 - 11*q - 5. Give 7*t(r) + 3*v(r).\nAnswer: -266*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 3*u + 4. Let n be l(-3). Find f such that -3*f**3 + f**3 - 3*f + 0*f - 2*f**2 + 2*f**n + 5*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, o: 5}. Give prob of sequence ooc.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5463\/5 - 1101. Calculate the common denominator of (-12)\/21*86\/(-8) and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 915.9302 to the nearest ten.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50203?\nAnswer: 61, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 2. Let a(x) = 5*x + 67. Give a(o) - 4*k(o).\nAnswer: o + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*u. Suppose 2*g = h - 4 + 1, -4*g + u = 0. Suppose l - 44 = h. Calculate the common denominator of 71\/2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38035, -38036, -38037, -38038?\nAnswer: -38039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-56) - (-297)\/(-35). Let o = u - -55\/7. Let d = o + -1\/7. Which is the smallest value? (a) -5 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1188*z**5 - 599*z**2 + 1293*z + 271 wrt z.\nAnswer: 23760*z**3 - 1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262025841.\nAnswer: 3, 7, 11, 1134311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 22?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*z + 106, -4548*t + 72 = -4545*t - 26*z + 27*z for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 826 divided by -4.\nAnswer: -413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 6 + s**3 - 3*s**3 - 7*s + 3*s**3. Let z be y(-6). Let p(h) = h**2 - 15*h + 8. Let n be p(16). What is the highest common divisor of n and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1760155213 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 199681, -22 in increasing order.\nAnswer: -22, -5, 2, 199681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 18. Suppose -d*n = -12*n - 6. Suppose -2*o + 279996 = -2*p, -o - p = n*o - 560002. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/8 + 6*n**2 + 30. Let i(v) = 94*v**2. What is o(i(z))?\nAnswer: 282*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - 3) - (-13 + 25 - 0)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let z be v(4). Let m(y) = -8*y - y**2 - 1 + z + y**2 + y**2. Let c be m(8). Solve i + 8 = c*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1592640*h**4 - 2709*h**2 + 31?\nAnswer: 38223360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 3) + 51 + -35 - 6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5644371 or 5644318?\nAnswer: 5644318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 22. Let b be u(20). Solve z = 5*o - 2, -4*z - 4*o - b = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 25*f**4\/4 + 22085*f**3\/4 - 22160*f**2 + 22185*f = 0.\nAnswer: -4437\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*1404\/525. Let j = q - 51\/7. Which is the nearest to 1? (a) 2\/5 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0546? (a) -0.3 (b) 4 (c) -4 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12392727 is divided by 293?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - o - 2*o - 24 = 0, -3*m - 4*o = 47. Is (15519\/(-14))\/(m\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117855 and 20079.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 78.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9599860?\nAnswer: 2, 5, 677, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.823011 decades in years?\nAnswer: 68.23011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2000) + 1 + -1 + sqrt(20) + (sqrt(20) - -2*sqrt(20))))**2 - (sqrt(25)\/(sqrt(90)\/sqrt(2)) + sqrt(80) + 2).\nAnswer: -13*sqrt(5)\/3 + 3918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 7 + 7 - 7. Let u(z) = 4*z - 34. Let j(f) = 14*b(f) - 3*u(f). What is j(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121479 divided by 4565?\nAnswer: 121479\/4565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18510, -18513, -18520, -18531, -18546, -18565?\nAnswer: -18588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**5 - 42*m**4 + 39*m**3 - 12*m**2.\nAnswer: 3*m**2*(m - 1)**2*(5*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -26, -32, -38, -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -41. What is the closest to 0 in a, -2\/9, 4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d**2 - 375*d - 866. Determine a(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**(3\/19) assuming v is positive.\nAnswer: v**(-15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4\/4 - 157*f**3\/4 - 341*f**2 - 637*f + 588 = 0.\nAnswer: -42, -7, -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2529 = -u + 5*u - 5*x, 2524 = 4*u - 4*x. Suppose -3*j = -6*w + w - 581, -3*j - 4*w = -u. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*b + 2*q + 71, 5*q = 20. Let r(x) = -52*x + 22 + 16 - 3 - b. What is the tens digit of r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -23. Let k be (13 - q)*1\/4. Let v(g) = -2*g**3 + g**2 + g. Let u be v(-1). Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, t: 1, c: 2}. What is prob of sequence vvt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-1)\/48*-3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/5 (b) 3 (c) -0.2 (d) 5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 37*i + 3*i**2 + 2 - 1132*i**3 + 1321*i**3.\nAnswer: 189*i**3 + 2*i**2 + 37*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 1817 + 32 = 0. Let b be 2\/7 + 817\/7. Factor 15*f**4 - 20*f**2 + j*f - b*f + 46*f + 25*f**3.\nAnswer: 5*f*(f - 1)*(f + 2)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 30 = 5*y, 4*v + 58 = 150*y - 171*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31596*438.\nAnswer: -13839048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 207682151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2*r**2 + 2. Let v(o) = 4*o**2 - 5. Let l(x) = -2*x**2 + 2. Let q(k) = -5*l(k) - 2*v(k). Calculate i(q(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31896198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00127 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286 by -408094.\nAnswer: 143\/204047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3365059\/168 - -20030. Find the common denominator of l and 85\/108.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 5 + (23 - (43 - 3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66\/(-4)*(-40)\/15.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 607787*k**2 - 1116450?\nAnswer: 1215574*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101747437 + 530*k - 101747437 - 31*k.\nAnswer: 499*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(7 - 3)*-293. Find the second derivative of -293*o**2 + f*o**2 + 14*o**3 - 19*o wrt o.\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9232 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2 + 12*c + 23. Let n(s) = 14*s**2 - 10*s - 24. Let k(g) = 4*n(g) + 5*y(g). Calculate k(-13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 591930 and 295965?\nAnswer: 591930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7279825?\nAnswer: 5, 7, 17, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 30*m**2 - 107*m - 22. Calculate j(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**3 - r**2 + 1. Let q(b) = -4*b**3 - b**2 + 1. Let g(s) = -4*q(s) + 3*y(s). Let f be g(-1). Is -2 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 10*a**2 - 8*a - 15. Calculate f(-8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*x + 66*x - 225. Let k = -299\/4 + x. Which is the fourth biggest value? (a) -1\/8 (b) 4 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(30\/(-2) - 1). Suppose 0 = 5*p + 2*p - 560. What is the highest common factor of p and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 + 48 = 0. Let q = -2 - y. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (4 + 11 + -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 25*q**2. Let r(u) = 10*u**2 + 6*u**2 - 19*u**2. What is r(j(a))?\nAnswer: -1875*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116785433.\nAnswer: 3, 4643, 80177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18504 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1548*f + 38753. Give l(-25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -20310122?\nAnswer: 20310113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*w + 36, 5*t - 18 = -5*w + w. Suppose f - 3*j + 54 = 2*f, f - 54 = -4*j. Calculate the greatest common divisor of f and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/20 + 5*f**4\/12 - f**3 + 7*f. Suppose z + 12 = 4*z. Determine j(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*m + 1450, -3*y = m + 935 - 57. Suppose j + 2*j = -882. Is j greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7878.959 + 0.00347?\nAnswer: -7878.95553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 85008629 to the power of 1\/2, to the nearest integer?\nAnswer: 9220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2252 + 61?\nAnswer: -2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, a: 3}. Give prob of sequence aaea.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Let n be 2*(-2 - 0)\/2. What is the remainder when (-89)\/(-7) + n\/(-7) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {y: 4, l: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:34 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 414289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -54828485510215.\nAnswer: -54828485510212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 + 3. Let k be d(-5). Suppose k*n - 108 = -n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877984.\nAnswer: 2, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**3 - 2*v**3 - 8*v**2 + 2*v**2 - 4*v**2 wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 7*c - 58. Suppose -c = -u + g, -u = -4*g - g - 32. Solve -3*b + 6*b = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11263223?\nAnswer: 29, 61, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.89 + -0.11. Let k = q + 54.0000109. Round k to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) - (-1530)\/55. Let t be (-6)\/(-9) + p\/(-6). Let f(v) = v**2 + v - 2. Give f(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - (52 + (9 - 41))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/6*189\/42).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321767 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, 1\/10, -453, -0.262 in decreasing order.\nAnswer: 1\/10, 2\/33, -0.262, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 960\/607169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let t(k) = k + 2. Calculate 2*q(m) - t(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -5)\/12)\/((-33)\/88). Let o = 11 - 16. What is the biggest value in o, j, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-2) + (-13 - -17). Does 7 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6200*o**4 - o**2 - 3*o + 355 wrt o?\nAnswer: -148800*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-408*j**4 + 190*j**4 + 193*j**4)*(-3 - 6 + 3)*(-3*j + 5*j + 0*j).\nAnswer: 300*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 3*v**6\/40 - 3*v**4\/8 + 4*v**2. Find the second derivative of g(c) wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-1)\/d)*d*d\/d**(-2\/11))**(-2\/7)*d**(-2\/3)\/(d\/d**(-3))*(d**0)**(-7\/6) assuming d is positive.\nAnswer: d**(-1486\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080162 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (-4)\/(((-9)\/6)\/3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7724*t = 5*b - 7719*t - 45, -t = -2 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 8 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -2, 4, 0 in ascending order.\nAnswer: -2, 0, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1256 - 1251. Suppose 2*u = 4*u, 5*u + 84 = 4*p. Let r be (-3)\/12*28\/p. Which is the second biggest value? (a) 2\/5 (b) i (c) -4\/7 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u - 8. Let c be f(-12). Are c and 111 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 18, 2\/7, -2\/5, -2\/11 in decreasing order.\nAnswer: 18, 2\/7, -2\/11, -2\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222461?\nAnswer: 222461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 983579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y - 2*y - 7*y + (-y + 4*y - 2*y)*(-1 + 2 - 4) - 2*y + 2*y - 2*y + (3*y - 4*y + 3*y)*(2 - 1 - 2) in the form c + t*y and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 5, 19 in ascending order.\nAnswer: -3, 5, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 19*l + l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 10}. What is prob of picking 1 a and 1 f?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -14.1. Let o = g - 0.1. Let t = 9\/22 + -51\/44. What is the fourth smallest value in o, -3, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/5 - (-2)\/(-5). Suppose 7 - 4 = k*f. Calculate the least common multiple of (24 - (-1 + f))*(-3)\/(-4) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 2981*p**2 - 29902*p - 72. Calculate y(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126586 and 111890.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bafabcfbff. Give prob of picking 1 b, 1 f, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x - 2. Calculate the remainder when d(-11) is divided by 1*((-8)\/(-8) + 19).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1058*k**2\/15 + 171856*k\/5 - 20936544\/5.\nAnswer: -2*(23*k - 5604)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 3, -41, -101, -177?\n\"Answer: -8*s**2 - 4*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/5801422 and 29\/304.\nAnswer: 46411376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(132)\/(sqrt(12) + sqrt(12)*5) + 1)**2 + (sqrt(99) + 2*sqrt(99)*6)\/((sqrt(135)\/sqrt(5))\/sqrt(3)))*3.\nAnswer: 47\/12 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*g = -6, -l - 2*g + 1 = -3. Suppose l = -5*a - 5, a + 24 = -4*d + 3. Which is bigger: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (sqrt(931) + -4 + sqrt(931) + -3 - (sqrt(931) + 1*sqrt(931)*-4)**2))*6 + -2.\nAnswer: -50306 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 - (-2583)\/(-147) - 71604\/(-14) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(684))**2 + sqrt(19) + -5.\nAnswer: 25*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67639?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 98.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 + 6. Let k(v) = -v**2 + 1. Let c(l) = -6*k(l) + m(l). Let w(h) = -6*h + 2*h + 0*h. Calculate c(w(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 88. Calculate the remainder when 42 is divided by (-1)\/(a\/3) + 17 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n - 37*n + 100*n = 48. Solve -n*p + 4*w - 7 = 5, -p = -5*w + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(153) + 5 + sqrt(68)\/sqrt(4)))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2150835?\nAnswer: -2150840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/10 - l**4\/6 + l**3\/3 - 3*l**2. Let n = -16816 - -16858. Calculate the remainder when y(4) is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -1556743?\nAnswer: -1556727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 14. Let m = -0.07373 - -0.57373. Which is the third smallest value? (a) 1\/43 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*v + 13. Calculate the remainder when 129 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -12, -30, -46, -54, -48, -22, 30?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/911 and 19\/3?\nAnswer: 2733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/19 - 2074816*l\/19 = 0.\nAnswer: 0, 1037408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/7 + 63426*f**2\/7 - 4260363*f\/7 + 8017002 = 0. What is f?\nAnswer: -21209, 18, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**2 + 17*d - 1. Let s(p) = -7*p**2 + 20*p - 2. Let g(f) = 4*s(f) - 5*y(f). Let t(h) = -6*h**2 + 3*h + 2. Determine 3*g(x) + 5*t(x).\nAnswer: 6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/179, 1\/5, 3, 1\/122, -2\/5 in descending order.\nAnswer: 3, 1\/5, 11\/179, 1\/122, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + q, -u + q = -5*u + 2. Solve 3*z + 2*z - 3*z = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x + 64*x + 245 = 1181 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64 or -76?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 3*z - 6. Let k(o) = -o**2 + 5*o - 5. Let l be k(5). Let j be c(l). Sort 3, -3, j.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10090010, 20180023, 30270036, 40360049, 50450062?\n\"Answer: 10090013*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(3 + sqrt(75))**2)*-1.\nAnswer: 30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47259 is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339956\/7 + -48564. Factor 2\/7*y**2 - f*y + 0.\nAnswer: 2*y*(y - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*f - 385*f + 1668*f - 318*f - 417*f.\nAnswer: 115*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25\/4, 13670 in ascending order.\nAnswer: -25\/4, 5, 13670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l**3\/9 + 160*l**2\/3 + 12800*l\/3 + 626. Suppose z(h) = 0. Calculate h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583086 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 3*h - 3. Let f(c) = -c**2 + 4*c + 4. Let r be f(4). Let b be m(r). Suppose 4*l - 30 = -3*i + l, b = i - 2*l. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 9:47 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33812 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -231*c**3 + c**2 - 4*c + 3. Let v be n(1). Let b = v - -237. Solve 3*s = b*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/5 + 9*(-2)\/30. Solve 70*p + a = 64*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/15 - 22*u**3\/15 - 56*u**2\/5 + 707*u. Factor l(g).\nAnswer: -4*(g + 4)*(g + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(125) - (sqrt(125) + (sqrt(125) + (0 + sqrt(125) - sqrt(125)))*2) - (sqrt(125)*2 + -4)))**2.\nAnswer: -2560*sqrt(5) + 32256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6999*z. Let k(w) = -2378*w. What is l(k(g))?\nAnswer: -16643622*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3*z + y**3 - 5173*y**2*z + 193*y*z + 5*y - 4*z wrt y.\nAnswer: 18*y*z + 6*y - 10346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 858180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -16*m**3\/3 + 3. Let k(v) = 11*v - 54. Let f(o) = -41*o + 198. Let a(l) = -6*f(l) - 22*k(l). Give a(h(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1226916 and 15916.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.84 - 0.16. Let j = 27192 - 27192.034. Which is the second biggest value? (a) 2 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/224 + t**7\/84 - t**6\/120 - t**5\/20 - t**4\/48 + t**3\/12 + 5*t**2. Solve b(v) = 0 for v.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19709*k**2 + 40524 wrt k.\nAnswer: -39418*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let h(t) = t**4 - 4*t**3 + 5*t**2 + t + 3. Let u = -224 - -223. Let l(f) = u*h(f) - 3*j(f). Determine c so that l(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35214*3.\nAnswer: 105642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60748 or -60746?\nAnswer: -60746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32608 (b) -2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*6*(29\/261)\/((-14)\/(-315))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010079821 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162566 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*c = 5*c + 1020, 15 = -5*c. Let b = -92 + w. Let t = 163 - b. Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8621*g**2 - 4. Let y(r) = -6*r. Give y(s(k)).\nAnswer: 51726*k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g - 43*g - 86*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 - i**3 + 7*i**3 + (3*i - 2*i - 3*i)*(-4*i**2 + 2*i**2 + i**2) - i**3 + 0*i + 0*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 6, 5*p + 48 = -455*j + 452*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*l + 76. Let y be -1*l\/(15\/(-425)). Find the common denominator of -23\/6 and (-4 + y\/6)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -121, -244, -421, -658, -961, -1336, -1789?\n\"Answer: -t**3 - 18*t**2 - 14*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11709, 23287, 34865, 46443, 58021?\n\"Answer: 11578*x + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times 49914?\nAnswer: 648.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(25\/(3750\/(-40))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 366 and 6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621054 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58884 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 - 11*b - 2. Determine j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1144802 minutes in milliseconds?\nAnswer: 6868.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 29. What is the remainder when z(-18) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -59. Let c be (-4)\/(-22) + n\/77. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 + 613. Calculate the highest common divisor of 50 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Suppose d*z = -z - 50. What is the units digit of ((-8)\/z)\/2*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074 is divided by (5*1)\/(((-30)\/(-518))\/((-216)\/(-252))).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25060 = 18*l - 85072. List the prime factors of l.\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4047, -4052, -4055, -4056, -4055, -4052?\n\"Answer: u**2 - 8*u - 4040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -34*d - 5. Let m be a(-10). Suppose 53*i = 5*i + 3216. Calculate the highest common divisor of i and m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.5 + 10. What is the second smallest value in m, 0, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/2*2\/(-1). Solve 6 = -5*i - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11440\/(-234))\/(-22)*1*-3)\/((-3)\/18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58050839687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, o: 8, w: 2, f: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 20*x + 1. What is o(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -277. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -8, 13, 52, 115, 208, 337, 508?\n\"Answer: c**3 + 2*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73*(-93)\/(-6789)*41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 8. Suppose w + 0*y - 3*y = -4, 74 = -5*w - 3*y. Let s be c(w). Suppose s*g - 449 = -3*z, 4*g - 360 = -0*z - 2*z. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:43 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (2 - (9 - 4)))*2. Let w be 1 + (0 - -4)\/z. Suppose 0*b = -w*b + 284. What are the prime factors of b?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a - 1. Suppose -7*d = -100 - 40. Let v = 19 - d. Let y(w) = -w**3 - 5*w**2 + 6*w + 1. Let b(g) = v*y(g) + 2*l(g). Give b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1137*b**2 + 509*b**2 + 333*b**2 as w*b**2 + k + a*b and give w.\nAnswer: 1979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 less than -2265.15?\nAnswer: -2006.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(11) + sqrt(99)) + -4.\nAnswer: -16*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + t + 10 = 0, 2*o - t - 17 = 5. Suppose l = -4*k + 42 - 6, -5*k = -4*l - 24. What is the smallest common multiple of o and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3. Let h(u) be the third derivative of -u**6\/30 - 6*u**2. What is 2*h(m) - 10*k(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4088*y + 3002*y + 197792 = 909*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from feaqk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-23)*w*w**(-5\/4)*(w**(-13))**(-19))**12 assuming w is positive.\nAnswer: w**2685","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 2*n - 1. Let r be x(1). Let b(y) = -4*y**2 + 3*y**2 - 5 - r*y + 2*y**2. Suppose -33 = -5*k - 8. Determine b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 1205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*n**2*w - 10*l**2*n*w**3 + 6*l**2 + 38*l*n**2*w**2 - 3*l*n + w**3 wrt l?\nAnswer: -2*n**2*w - 20*n*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/112)\/(18\/(-294))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 3*f**3 + 3*f**3)*(-f + f + f**2 - 3*f**2 + f**2 + 3*f**2 + (-f**2 - 2*f + 2*f)*(2 + 2 - 6)).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-seven quarters of a week?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 - 3 = -4*n, 0 = -r - 4. Which is the nearest to -1? (a) -0.5 (b) n (c) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 3, 4, -1\/3, -1.1 in increasing order.\nAnswer: -1.1, -1\/3, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 9)*38\/4. Suppose 0 = -5*h + 3 + w. Solve 6 = -2*z - 0, -3*t - 4*z - h = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1627, 1625, 1623, 1621?\n\"Answer: -2*o + 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -793719, -1587817, -2381915?\n\"Answer: -794098*q + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-68)\/16 - 1) + 47141\/(-179124). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5432 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0127 + 2.9873. Which is the closest to 0? (a) 0.4 (b) p (c) -2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.496 + 47. Let m = -0.066 - v. Let z = m - 0.23. Sort z, 4\/3, -1 in decreasing order.\nAnswer: 4\/3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*v*x**2 + 39773*v*x - 2*x**2 - 1563955 wrt v.\nAnswer: -33*x**2 + 39773*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -628601 - -5?\nAnswer: -628596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61712309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 2*k - 4*k)*((-1 + 1 - 3*k)*(4*k - k - k) + 8*k - 8*k - 6*k**2) - 13*k**2 + 2 + 13*k**2 + 2*k**3 to t*k**3 + s + a*k + u*k**2 and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 145.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 8*l - 395. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -128 - 17*y + 59 + 16*y + 45. Let w(b) = -24. Give 2*g(p) - 3*w(p).\nAnswer: -2*p + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 59.683.\nAnswer: 238.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1812 + -1810. Suppose 0 + 0*n**3 - 2\/3*n + n**t - 1\/3*n**4 = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/13)*q**(-1\/9)\/q)\/q**(1\/78))\/(q**(-2\/27))**(-37) assuming q is positive.\nAnswer: q**(-2605\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 60*l - 121. Let j be s(58). Let u be 2*j\/2 - (11 + -16). Let m = -2\/677 - -2123\/31142. Is m at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.5. Let z = 0.038 - 4.838. Let a = -1.8 - z. What is the closest to 0.1 in a, 1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -870376.98 to the nearest one thousand.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {b: 3, z: 3, p: 6, k: 5, f: 2, u: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 10. Calculate the common denominator of (98\/(-12) - l)*1 and 31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 9*n + 7. Suppose -5*m = -3*a + 5*a - 352, 5*a - 355 = -5*m. Let z be ((-4)\/6)\/(m\/735). Determine y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24837956.\nAnswer: 2, 11, 13, 173, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:32 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let m be 0 + -1 - (-2)\/z. Let j = 106\/3 + -36. Put m, j, 0 in decreasing order.\nAnswer: 0, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + f = -f - 14, 2*h + 27 = -5*f. Let k = 26 + h. Solve 3*g - 5*v = -k, 0 = -5*v + 25 - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2877 + 0*g**2 + 5*g**2 - 6*g**2 + 3*g**2 + 1427 + 1450.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4\/12)\/(1\/(-6)). Let s be (-12)\/(-24) - 10\/l. Suppose -28 = -5*t + h + 20, -s*t = -4*h - 22. Solve -t = w - 2*r, 2*w - 2*r + 5 = -3*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(3 - 3 - m)*(-1 - 1 + 0)*(-3*m**4 - 33*m**4 - 4*m**4) - m**5 - m**5 + 3*m**5.\nAnswer: -79*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 3:21 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 8. Suppose -40 = -5*s - 5*z, 0 = 3*s - 2*z - 26 + 2. Let u be c(s). Let i be 3\/(-9)*18\/u. What is the closest to 1 in 2\/7, 1\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by (15 - (3 - -5)) + 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(25\/2)\/((h*h**4*h)\/h**(-1\/8)) assuming h is positive.\nAnswer: h**(-99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35984, -143862, -323476, -574676, -897312, -1291234, -1756292, -2292336?\nAnswer: -2899216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - s**2 - 3 + (1 - 1 + 1)*(-1 + 2*s**2 + 1) + 3*s**2 - 4*s**2 + 3*s**2 + 30*s**2 - 451 + 451.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, -2368, -11, 12 in descending order.\nAnswer: 12, 2, -4, -5, -11, -2368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 261 = 45*z - 61 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109435, 218785, 328135?\n\"Answer: 109350*f + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h - 2*h - 102149 = -39236. Do 2819\/3 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 + 7*t - 12. Suppose -2*u = -3*u + 4. Calculate the least common multiple of u and b(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 + 26*i**2\/9 + 28*i - 144.\nAnswer: -2*(i - 18)*(i - 4)*(i + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 86564 (base 10) to base 14\nAnswer: 23792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -23*q + 90. Suppose r - 121 = 3*w, 6*r = q*r + 2*w + 391. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {m: 3, c: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023174 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 552784 from 110703524.\nAnswer: 110150740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + 0.6. Let t = 2.5 + v. What is the second smallest value in -1, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 13*y**2 + 14*y - 14. Let s be n(12). Suppose 2*b = s*b - 40. Solve -4*a + b = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 576337\nAnswer: 576337.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10063916?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v**2 + 3*v**3 - 1294 + v + 429 + 430 + 433 - 3*v in the form g*v + u + t*v**3 + n*v**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -289. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.052 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 1. Let y = 134 + -127. Let d(p) = 0*p + 23 - 3*p + 15 - 16. Let v be d(y). Calculate b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssppyypppypspyy. What is prob of sequence pypy?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129913 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from wvwvvvvvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*12\/2. Let n(c) = -2 + 3*c**3 - c**2 - 3*c**2 - 4*c**3 - 4*c. Let x be n(a). Is 1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 4*j + 2 - 1. Suppose 218 = -17*l + 184. Calculate g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*c + 18 = 3*y, 3*y - 21 = 3*c. Suppose 0 = y*z + 2*h - 20, -z + 5 = -0*z - 3*h. Let x be (-3 + z)\/(0 + -2). Which is bigger: x or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21301691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -25*y + 6019. Let h(n) = 19*n - 4520. Give -13*h(w) - 10*v(w).\nAnswer: 3*w - 1430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 9*v + 6. What is the lowest common multiple of m(4) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - (-6792)\/108) + 1\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 576 and 29520?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 381 - 385.03. Let x = q - 0.97. Sort -0.5, 1\/5, x, -1\/7 in decreasing order.\nAnswer: 1\/5, -1\/7, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-10))\/z**(-9\/2))\/(z*z**0*z*z)**40)**(-2\/115))**(1\/4) assuming z is positive.\nAnswer: z**(209\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20480 times -0.2651\nAnswer: -5429.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4558 - 18227\/4. Solve -65\/4*w**3 - 5*w + 0 + 15*w**2 - d*w**5 + 15\/2*w**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrkn when four letters picked without replacement from {k: 2, l: 2, s: 1, r: 1, n: 2, x: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let s be b(-1). Suppose s*a - 2 = 8. What are the prime factors of (12 - 8)*(a - 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1155 divided by -3\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:13 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 8*t + 12. Let b be z(10). Let n be (-3)\/((-42)\/b)*(-63)\/18. Solve u - 4 = -n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (17 - 19) + 16 + (1 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 + 147*u + 951. Let s be y(-7). Which is smaller: 61 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1632 + 157?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3 + 5 + 0*y - y + 0. Let a be q(3). Let t(m) = 2*m + 1. Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 - 228. Put 3\/2, -0.3, a in descending order.\nAnswer: a, 3\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 15*v**2 + 14778*v - 1 - 14750*v)*(7 + 1 - 5) to a*v + o + q*v**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20100 - -3?\nAnswer: 20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*b = -2, b = -3*b + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 158 + 11)*((14 - 14 + 4*o)*(1 + o - 1) - 3*o**2 + 5*o**2 + 0*o**2).\nAnswer: 1602*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 + 146. Let f = 76 + j. Let x be 23 - (-5)\/f*(-2 - -2). Is x <= 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7884969, 7884966, 7884963, 7884960, 7884957?\n\"Answer: -3*r + 7884972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -17*u**8\/3360 - u**5\/120 - u**4\/24 + 68*u**3\/3 + u**2 + 67*u. Let c(b) be the second derivative of i(b). Give c(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b - 28 = 0. Calculate the common denominator of -2 + 339\/42 + -3 and 11\/(9*2\/b).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/7)\/(4\/(-14)). Let l(k) = -2*k**3 - k**2 + 1. Let r be l(-1). Let s = -2 + r. Solve t*i + 5*o - 15 + 6 = 0, s = -i + 3*o - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.4, -0.3, 0.317, -2 in ascending order.\nAnswer: -4, -2, -0.4, -0.3, 0.317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 + 4. Suppose -o = -3*o. Let g be f(o). Solve -3*m + 0*m - n = 13, 0 = -n - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*c = -20, -24 = -4*y + 2*c + 2*c. Suppose -18 = -4*w - y*w. Solve q - 1 = w*l - 2, l = 2*q + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Put -3, t, 5 in descending order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 998 - -4?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47020 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = -3*w - 31, -2*g = 4*w - 4. Suppose -5*l + n + 108 = 0, -n + 56 = 5*l - 56. Calculate the remainder when l is divided by 141\/g - 2\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(500)) + 1*sqrt(500) + 4)**2 + -2 + -5*2*(sqrt(405)*-2 + sqrt(405)).\nAnswer: 170*sqrt(5) + 7999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - g - 31)*(-3 + 3 - 1 + (-2 + 1 + 0)*(4 + 6 + 8)) as y*g + c and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 - 305. Let k = i + 2260\/13. Let r = k - -17\/26. Is 1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (4 + sqrt(2736)))**2 + sqrt(2736))*1 + -5.\nAnswer: 11 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*x = 30210, -x = -15*f + 13*f + 20126. List the prime factors of f.\nAnswer: 2, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109814, 109850, 109876, 109886, 109874, 109834, 109760?\n\"Answer: -z**3 + z**2 + 40*z + 109774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -324485 and -324485 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-6))\/((-18)\/81). Let w be ((-64)\/s)\/(-4)*3. Sort w, 0, 1 in increasing order.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(2 - 6 + 2)*(4*s - 5*s - 5*s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25*i - 23. Let j(w) = 13*w - 12. Let f(r) = -5*j(r) + 2*u(r). Let b(n) = -7*n + 7. Let l(c) = 13*b(c) - 6*f(c). Does 4 divide l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-863*m + 245*m - 811*m).\nAnswer: -1429*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqc. What is prob of sequence cqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 7*o - 2*w, o - 38*w + 1 = -33*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*s - 35 = -50, 5*a + 15 = -2*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from roorrrrorrrror?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.0546 - 0.0646. Let o = -0.01 - b. Put 2, 3\/4, o in descending order.\nAnswer: 2, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 2*w**2 + 2*w - 1. Let q be d(1). Suppose -3*k + 3*o = -18 - 0, -2*k - 4*o - 18 = 0. Let v(g) = -1 + 6 + g**2 + k - 2. What is v(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*j + q, 5*j + 4*q = -q + 45. Let a(g) = 0 + g - 4*g + 4*g + j. Give a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7926.831 rounded to the nearest 100?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 2 + 3 - 5. Let m(g) = g + 2. Let r be m(0). Let o(b) = r*b + 2 - 3 - b**2 + 2. Calculate -o(y) - 3*w(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174630 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111*j**2*x**2*z + 10*j*x**2*z**2 + 42*x**2*z**2 - 12*z**2 wrt j?\nAnswer: -222*j*x**2*z + 10*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, h: 5, c: 2, x: 1}. What is prob of picking 2 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - sqrt(240)*1 - sqrt(240)) + sqrt(240) - sqrt(240))\/(sqrt(12) + (sqrt(588) - (sqrt(588)*1 - sqrt(588)))).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 123*p + 1768 = 0. Let y(q) = -q**2 - 29*q - 74. Determine y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otiiiio. Give prob of sequence oti.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000232 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 879642 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 58 = 3*d, 2*d = 2*j - 22. Suppose 9*y + 8 = j*y. Let x(z) = -z**3 + 3*z**2 - 2*z + 2. Determine x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/120 + 7*v**5\/60 - v**3\/2 - 3*v**2. Give u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*r = 3*i - 20, 3*i - 10 = -2*r. Suppose i = -0*d + d. Which is bigger: d or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -17. Calculate the highest common factor of m and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3853528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**(-4\/9)*(j*j**(-2\/3))**36 assuming j is positive.\nAnswer: j**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 10074 - 2693. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 5)*(47 - 45). Let p be 238\/98 - c\/(-14). Solve -5*l - 20 = -5*y, y + 8*l - p*l = -20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + (30 - 83) + -23?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781 = -49*i - 22*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -19*s**2 + 1005*s + 123. Let m be q(53). Calculate the greatest common factor of m and 15997.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3508 - 3513. Which is the third smallest value? (a) 2\/3 (b) x (c) -0.4 (d) -0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -628134 + 417080409\/664. Let j = t - 3280231\/7304. Let r = 454 + j. Calculate the common denominator of -113\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(65) + (sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65)*-3 - sqrt(65)) - sqrt(65))))))\/((sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 10. Let t = 1463 + -1168. Suppose -n*v + 0*v - t = -3*k, 5*v - 475 = -5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -0.7 (b) -0.4 (c) -7.11 (d) -4\/9 (e) 1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -16 - 38 - 2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 23*y**2 + 35*y**2 + 104*y**2 + 0 to the form h + a*y**2 + p*y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1879, 186, 5 in increasing order.\nAnswer: -1879, 0, 1, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 234?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*l**3*m**3 + l**3*m**2*p**2 - 628*l**3*m*p**3 - 2*l**2*m**3 - 20*l*m*p**2 - 2*l - 126*m**3*p**3 + 5*m*p**2 wrt p?\nAnswer: -3768*l**3*m - 756*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39343719 to the power of 1\/2, to the nearest integer?\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053624?\nAnswer: 2, 3, 11, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*1*(-11)\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 0.4, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2355 - 10?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 + (10 - 20))\/((-2)\/180) is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 32*h + 14333021 = 50*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 22*k. Let h(p) = 48546*p**2 + 2*p. What is i(h(s))?\nAnswer: 1068012*s**2 + 44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 + h - 4. Let a be g(-2). Let c be (-48)\/a + 57\/19. Let m = c + 23. Solve 3*p - 18 = -3*d, -2*d = -m*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -6 (c) 10\/19 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14748 by 1.\nAnswer: 14748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -43\/9?\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4902*w**4 + 82*w**3 + 12802493*w.\nAnswer: 58824*w**2 + 492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1919*k**2 + 1919*k**2 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 15*q - 9. Let u be b(-6). Suppose -5*s = -3*m - u, -2*s + 7 = -s + 2*m. Solve -22 = 4*j + s*o, 3*o - 15 + 1 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92, 30, -72, -214, -396?\n\"Answer: -20*m**2 - 2*m + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - (3 - 2)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/2, 2\/15, -38?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4229*q + 4168*q + 9066979. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w**3 + 313*w**3 - 61*w**3.\nAnswer: 327*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 25. Let u be c(10). Suppose 488 = 11*a - u*a. Let v = -737\/6 - a. What is the nearest to 2\/5 in v, -21, -4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.855249 millennia in decades?\nAnswer: 285.5249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a - -2638?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - h**3 + 14*h**4 + 5*h - 6*h + 2 - 13*h**4 to the form k*h**2 + n*h + f*h**3 + i*h**4 + j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -7 (c) 0.2 (d) -3\/2 (e) -2 (f) -0.5 (g) 21.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -17*l**2 - 5*l - 8. Is m(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) - (sqrt(931)*3 + -3))**2 + sqrt(931) + ((sqrt(133)\/sqrt(175))**2 + sqrt(19) - -2*sqrt(1216)))*6.\nAnswer: -318*sqrt(19) + 560064\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123769 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:35 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 21*q - 17. Let c be v(8). What is the greatest common factor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(396) + -4)*-2*-4)**2.\nAnswer: -6144*sqrt(11) + 102400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {y: 3, e: 1, m: 1, h: 2, s: 3, l: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b = -23*b - 640. Suppose 5*k - b = 2*h - 12, -4*h + 32 = 2*k. What is the remainder when 82 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -0.1, 99, -0.5 in ascending order.\nAnswer: -4, -0.5, -0.1, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(50).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:51 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688818 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237547822 divided by -4.\nAnswer: 118773911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 1536, 2306, 3084, 3870?\nAnswer: 4664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 8*u = 8, -3*j + 5*u + 20 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:54 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 5*d + 2. Let t be z(-5). Suppose t*n - 2 - 6 = 0. Suppose -2*m - 11 = -x, 0 = x + 5*m + n + 6. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:49 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 805\/31 + (-50 - 42 - -66).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5, -0.12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423913 to the power of 1\/2, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:42 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 251\/849?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -58316 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 37*c. Let m(y) be the third derivative of 49*y**5\/60 - 661*y**2. What is k(m(n))?\nAnswer: 1813*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 200201220 (base 3) to base 7\nAnswer: 54552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 161 - 367. Calculate the greatest common factor of b and 8360.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191340 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + -1 + sqrt(1100))**2 - ((sqrt(11) - (sqrt(99) + (sqrt(99) - (-2 + sqrt(99)))**2)) + sqrt(11)).\nAnswer: -59*sqrt(11) + 9905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -58, -129, -240, -397, -606, -873, -1204?\n\"Answer: -d**3 - 11*d**2 + 3*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) 2\/7 (c) -13.278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 1, q: 7, e: 7}. Give prob of sequence eqhe.\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - 4*o)*(8 - 49 + 94).\nAnswer: -265*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -2*10*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -50. Which is bigger: -13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -24, -40, -74, -132, -220, -344?\n\"Answer: -k**3 + 3*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q - 146 + 3546. Suppose q*s - 1235 = 131*s. Calculate the highest common divisor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from wwzaiwwz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -452 + 518. Calculate the remainder when p is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5485, -10833, -16175, -21511?\n\"Answer: 3*z**2 - 5357*z - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-17 - -10) - 11 - 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.5 less than 310786?\nAnswer: 310734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 8:18 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4854187 weeks to minutes.\nAnswer: 4893.020496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from mmmmmqmmmmq.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -0.4, -3, -22\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110617541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/108 + 34\/9. Suppose -l + 19 = 5*q. Factor 0*a + 0 + 0*a**q + 3\/5*a**5 + 0*a**4 + 0*a**2.\nAnswer: 3*a**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.8855764 rounded to 2 dps?\nAnswer: -188.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v**3 - 5*v + 5*v - 3*v**3 + 3*v**3 + 2*v**3 + (-2*v**3 - 2*v**3 + 3*v**3)*(5 + 1 - 4) - 3*v**3 + 2*v**3 - v**3 + (0 + 1 - 3)*(-4*v**3 - 1 + 1).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -94. Which is the nearest to w? (a) -3 (b) -3\/2 (c) 3 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/5 - 18*n**3\/5 + 54*n**2\/5 - 62*n\/5 + 24\/5 = 0. Calculate n.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375208421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4) - (-61066)\/(-152). Let r = 415 + x. What is the highest common divisor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6288450 by 35934.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*c + 9. Let b be (-6 + -122 + 5)\/(c\/(-6)). Let r = b + -146. Calculate the common denominator of r and 79\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/((q*q**(-2\/11)*q)\/q)*q*q)\/q*q*q))**(-49)*(q*q\/((q**4\/q)\/q))\/q*q**2\/q assuming q is positive.\nAnswer: q**(637\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9 + (-460)\/(-6). Suppose 0 = -3*x + 2*x + 2. Suppose -o = x*o - 21. What is the highest common factor of c and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 40 = 3*b. Let g = -39 - b. Let y be 9\/6*4\/3. What is the greatest common divisor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -9*u - 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m - 10. Differentiate 4*v**3 + 11 - m*v + 2*v wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/((z*z*(z\/z**(-3\/11)*z)\/z*z)\/z))\/((z*z**(-10))\/z*z*z**2) assuming z is positive.\nAnswer: z**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**0))**(-45)\/(t**(-1\/4))**(-2\/23) assuming t is positive.\nAnswer: t**(-1\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 44400 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 9*v - 2. Suppose 5*w = 4*w - 4*j + 3, 4*w - j = 29. Let z be (-5 - (-432)\/42) + (-2)\/w. Let p(k) = 2*k - 1. Let n be p(z). What is b(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -61546*3\/(-48) + 0. Let o = -3840 + d. Calculate the common denominator of 103\/10 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.333 to one decimal place.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -42*x - 9775. Give y(-169).\nAnswer: -2677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjrjrrrrjj. What is prob of picking 2 r and 2 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 205698.8 and 41.611.\nAnswer: 205740.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 93*y + 1670. Let v be a(-18). Put 5, -16, 3, v in increasing order.\nAnswer: -16, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-33) - 20\/(-11). Let b be v\/8 + (-83)\/(-4). Suppose -5*l + 3*s + s = -59, s - b = -2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-48)\/27 - (105 + 9919\/(-109))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.88 - 0.12. Let u = 0.43 + -0.13. Sort -1\/6, u, x in decreasing order.\nAnswer: u, -1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1906554 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 10*u**2 - 943*u + 6782. What is n(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 23. Suppose l*i = 2*t - 63, 0*t + 2*t + 5*i = 73. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -37 - 7. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2275\/48252?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from cffffcmmefoccfmvvvm?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - 21221212?\nAnswer: -21220203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91492203 by 187869.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103.8 + 10.2. Let n = -37958100.000053 - -37958214. Let w = n - v. What is w rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and 0.5697?\nAnswer: 0.6897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2283090 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 45. Let d be 1*3\/(28\/(-20) + y). Let n(s) = 9*s**3 - 5*s**2 - 12*s + 31. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -4.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1412\/91587 or -1?\nAnswer: -1412\/91587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32138, -32095, -32040, -31979, -31918, -31863?\n\"Answer: -y**3 + 12*y**2 + 14*y - 32163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 246*y**3 + 42*y**3 + 57*y**3.\nAnswer: 334*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 21120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**7\/21 - 8*b**6\/45 + 4*b**5\/15 - 3*b - 17. Let h(s) be the first derivative of a(s). Factor h(m).\nAnswer: -4*m**3*(m + 2)*(3*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -1. Let t = 6 + -158. Let q = 157 + t. Which is the nearest to u? (a) 0.1 (b) 3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3\/10)*l*l*l*(l\/(l*l\/(l**(1\/7)\/l)))\/l*l*(l*(l\/(((l*l**(-2\/5)\/l*l)\/l*l)\/l)*l)\/l*l*l)**(-49) assuming l is positive.\nAnswer: l**(-14963\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b2 - 611b?\nAnswer: -61cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-38))\/(3\/(-10))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2543\/11 - 231. Let n = 61 - 66.6. Let o = n + 6. Which is the third biggest value? (a) o (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -366165?\nAnswer: 1\/122055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12214461, 12214442, 12214425, 12214410, 12214397?\nAnswer: 12214386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7479\/1108*2\/(-36).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 4 = 5*o - 2*z, -4*o = 3*z - 2. Suppose 0 = -o*c - 2*r + 508, -c - 4*r + 121 + 142 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 100 = -27*x + 1. Let c(d) be the second derivative of -5*d - 2\/15*d**4 - 4\/75*d**6 + 0*d**2 - 1\/15*d**3 + 0 - 3\/25*d**x - 1\/105*d**7. Factor c(t).\nAnswer: -2*t*(t + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-6) - 1\/(-2). Suppose -2*r = -l*r + 1200. Suppose -r = 4*b - 14*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(117) + -2)**2.\nAnswer: -605 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*a + 3263 + 1639 = 0 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78682204 is divided by 39341092?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 334\/(-6) - (-4)\/6. Let b be (-10)\/m - 84\/(-22). Suppose 20 = b*r - 68. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 3, g: 11}. Give prob of picking 1 g and 3 x.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.12 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89818878.\nAnswer: 2, 3, 14969813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2977*f**3 + 47140*f**3 - 50118*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -386817, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167248192 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 5.\nAnswer: -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3153962*f**2 - 3153964*f**2 + 9461928*f**2 - 3153988*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11900)\/(-53550))\/(4\/(-2))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 + 2)) + 3 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168573?\nAnswer: 3, 83, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1248 - 3036?\nAnswer: -3036.1248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/((-8)\/(-8))*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {a: 3, d: 1, y: 3, c: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 7. Let f(a) = 2*a + 3. Let x(y) = 7*f(y) - 3*j(y). Let c(s) = 15*s**2. Calculate c(x(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, o: 6, p: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v + 151160 - 172*v - 151160.\nAnswer: -226*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -118) + -3 + 1 - (9165 + -9177)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)*b**7)\/(b**(10\/7)*b\/(((b*b**(-17)*b*b)\/b)\/b)*b))**9 assuming b is positive.\nAnswer: b**(-1287\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t + 3*t - 5*t)*(-6 + 0 - 2) + 0*t + 0*t - 3*t)*(45*t + 240*t + 33*t - 3*t).\nAnswer: -3465*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 986 - -10?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 176 = -182 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzxzzxzxz. What is prob of picking 1 z and 2 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 + 3*d + 5. Let g(s) = 3*s**2 + 2*s + 4. Let h(a) = -5*g(a) + 4*l(a). Let q be h(-2). Solve -4*o - 5*j + 15 = q, 2*j = o + o + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 57*g**5\/20 - 115*g**2\/2 - 114*g. What is the derivative of l(r) wrt r?\nAnswer: 171*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:39 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17314 by 1332.\nAnswer: 8657\/666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5014284, 5014277, 5014256, 5014215, 5014148?\n\"Answer: -f**3 - f**2 + 3*f + 5014283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*s**4 - 6*s**3 + 15\/2*s**2 - 3*s + 0.\nAnswer: 3*s*(s - 2)*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let s(k) = -k**3 - k**2 - 8*k. Suppose 14 = -2*j + j. Determine j*v(a) - 2*s(a).\nAnswer: 2*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 13 = -5*i - j, 5*j = i + 13. Suppose 5*c - 2*r - 65 = -r, -i*r + 80 = 5*c. Calculate the remainder when c is divided by 1 - -3 - 1\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/17)*n)\/n)**30\/(n\/(n*n**(-1\/7)))**(-6\/23) assuming n is positive.\nAnswer: n**(-9558\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 2 e when four letters picked without replacement from {e: 3, l: 6, x: 1, z: 6, i: 2, d: 2}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 2. Let o(y) = 6*y + 2. Let m(r) = -2*r**2 + 2*r + 2. Let c be m(0). Let l(k) = -k - 7. Let g be l(-4). What is c*o(u) + g*a(u)?\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3649685 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 + -110005946573\nAnswer: -110005946572.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 4. Let r be 5*(-1 - (3 - 3)). Let c(f) = -2*f - 3. Give r*c(z) - 4*p(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 0\/1)*(-105)\/(-45). Suppose -3*b + 1869 = -k, -2*b + 5*k - 3115 = -q*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 t when three letters picked without replacement from {e: 6, a: 1, t: 3, x: 5}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1241*y**2 - 1241*y + 219. Let h(t) = 69*t**2 - 68*t + 12. Let r(i) = 73*h(i) - 4*z(i). Let k(f) = -43*f**2. Determine r(k(x)).\nAnswer: 134977*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.077 - -5.723. Let u = 7.1 - x. Round u to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -29) + 60 - (14 + -2 + 0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13010962 is divided by 15307.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116 + 20998114.4.\nAnswer: 20998230.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19361380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - x + 5 = -6*x, 2*a + 4*x + 4 = 0. Solve 0 = -a*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9008793, 9008791, 9008789?\n\"Answer: -2*i + 9008795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -31\/3 (c) -58 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 816406 + -406029. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21 = -5*q + 144, -78 = -2*q + 4*d. Differentiate -q + 8 - 36*j + 308*j - 30 - 34 wrt j.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bddv when four letters picked without replacement from hvdfddvvfdvdttvbdv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-7) + 2\/14. Suppose -2*f + 5*k + 8 = 0, s = 6*k - 3*k. Solve -f*n = -0 + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 2*w**3 - 10*w**3 + 3*w**3 - 2005*w**2.\nAnswer: w**3 - 2005*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 + -2.8. Sort x, 0.2, -1.\nAnswer: x, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -5474149.\nAnswer: -5474150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23221 (base 4) to base 8\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1582*s*t**3*y - 2*s*t**3 + 41*s*t**2 - 466*s*t + 2*s*y - 2*t**3*y**2 + t**2 wrt y?\nAnswer: -1582*s*t**3 + 2*s - 4*t**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1) + 56*4\/(-8). Let g be d\/(-8) + (-21)\/28. Suppose -g*a - 6 = -4*a. Sort a, -3, -4, -1.\nAnswer: -4, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/11, 7\/12, 2\/5, 3, 2439?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*m**3 + 523*m**3 - 284*m**3.\nAnswer: 618*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 128353*m + 1796746 = 0. Calculate m.\nAnswer: 14, 128339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 1:41 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -614.40012756 - -614.4. Round w to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 3, s: 3, l: 7, n: 1, d: 1}. Give prob of sequence npzs.\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/3 + 88*h**3\/3 + 824*h - 2. Factor x(v).\nAnswer: -4*v*(v - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3746 - 3633. Let v(z) = 8*z**2 - 4*z - 3. What is the remainder when o is divided by v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 366*t**3 + 9*t**2 + 14*t + 136. Let c be o(16). What is c rounded to the nearest 10000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**11\/110880 - y**10\/25200 + 53*y**5\/60 + 48*y**2. Let o(m) be the third derivative of l(m). What is g in o(g) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2422533213?\nAnswer: 2422533220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h. Let x(n) be the second derivative of 2*n**3\/3 + 9*n - 3. Calculate s(x(q)).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 - 11*n + 16. Let g(q) = 3*q**2 + 5*q - 8. Let l(r) = -4*b(r) - 9*g(r). Let f be l(-8). Suppose 3*z + 2*z = f. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71234 or -71235?\nAnswer: -71235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-1 - ((sqrt(24)\/(sqrt(48)\/sqrt(4)))**2 + sqrt(2)))*-6.\nAnswer: 12 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m)\/((m\/(m**(-2\/7)\/m))\/m))\/(m\/m**(-2))**(-5\/13) assuming m is positive.\nAnswer: m**(-194\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + g**2 + 3*g**2 + 0*g**2. Let k(x) = 6*x. Let r(m) = 29*m. Let d(j) = -30*k(j) + 6*r(j). Calculate d(z(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -17*a**7\/70 + 3*a**4\/2 + 3968*a**3\/3 + 2*a**2 - 12*a - 72. Find the first derivative of w(c) wrt c.\nAnswer: -204*c**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/6*-4 + 220 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-8 + 55))\/(3\/(-46)). Let q = 930 - k. Calculate the remainder when q is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (21 - ((-14 - -30) + -22)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 11. Suppose 5*q = 4*s - 30, 4*q = 3*q + 4*s + 10. Let p be (-36)\/(-3)*q\/(-15). What are the prime factors of f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136180175.08 rounded to the nearest 10000?\nAnswer: -136180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1672.52 + -133.58. Round p to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*d - 16 = 0, -3*o = -d + 7 - 19. Suppose -5*s + o = u + 3*u, -3*s - 3 = -3*u. Suppose 5*y - y - 20 = 0. Solve -5*q + y = -s*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 7. Let c be x(-12). Suppose 2*p - c*d = 4*p - 5, 50 = 4*p + 2*d. Solve -4*r + 29 + 1 = -5*l, -p = -3*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**3 - 1. Let d be l(-1). Suppose d*v + c + 10 = -2*c, 0 = -c - 2. Let f(s) = -4*s - 1. What is f(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2364?\nAnswer: 7092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 245*q**2*z - 298399696*q**2 - 15958*q*z - 8*z wrt z?\nAnswer: 245*q**2 - 15958*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 4*s + 0*s**2 - 2\/75*s**6 + 0 + 0*s**4 + 0*s**3 - 1\/105*s**7 - 1\/50*s**5. Determine t so that v(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - -0.18. Let a = -118 - -117.9. Put -1, a, q, -5 in increasing order.\nAnswer: -5, -1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-15)*10\/(-4). Suppose i*w + 0*a = -3*a + 48, -5*a + 56 = 2*w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8604449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2141*c + 1. Let o(y) = 3*y + 5663. Calculate o(p(f)).\nAnswer: -6423*f + 5666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 1 + 2 + 5*v + 8. Is y(10) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1480*v - 1058. What is n(0)?\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6*u + 4*u = -8, 4*u + 28 = 3*i. Suppose -1 = a, 2*a + i = -3*n - 4. What is the tens digit of n\/(-9) + 582\/54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 438 and 754769922.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, d: 2, g: 1, a: 1, k: 2}. What is prob of picking 1 g and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 2*l**3 - l**3)*(-5*l - l + 2*l)*(274 + 151 + 177).\nAnswer: -12040*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8\/3, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1920830?\nAnswer: 2, 5, 17, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(13\/5) assuming i is positive.\nAnswer: i**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 193, -31, -2?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 1. Let b(h) = -h**2 + h - 6*h + 3 + 4*h. Determine -b(s) - 2*q(s).\nAnswer: s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5194024805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 5:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + c - 7 = 0, 1 = -0*a + 3*a - c. Suppose -a*h = -7*h - 10. Let b = 6 + h. Solve 2*n - b*l = 20, -3*l + 6 + 1 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391357.6 nanoseconds in hours?\nAnswer: 0.000000664266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (183 - -4) + (-1 - 3). Let g(l) = 64*l. Let c be g(-1). Let s = u + c. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858517 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (245\/40)\/(59\/(-472))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 + 5*g + 6*g**3 - 21*g + 1 + 11*g.\nAnswer: -11*g**3 - 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**3 + 4*b**3 - 4*b**3)*(707 - 357 - 359) as a*b**2 + j*b + u*b**3 + f and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 440?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 39. Let q(d) be the first derivative of 1\/5*d**5 + 1 + 0*d**2 - 2\/3*d**3 + 0*d + 0*d**t. What is the third derivative of q(j) wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25031 or 25039?\nAnswer: 25039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/10, 5\/4, -281, -4?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5\/6 - 13*t**4\/6 + 41*t**3\/6 + 61*t**2\/6 - 20*t + 6 = 0. What is t?\nAnswer: -3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409745448 to the nearest integer?\nAnswer: 20242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-810))\/(((-22)\/33)\/(-2)))\/(8\/(-42))\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (-3 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 10*l - 9. Let a(r) = r**3 + 5*r**2 - 7*r. Let i be a(-6). Let q be h(i). Suppose 0 = 4*b + 3 - q, 4*n - b = 297. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156040429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-32)*n*n**(-35))\/(n*n\/n**14)**(6\/5) assuming n is positive.\nAnswer: n**(-253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -23 - -20) + -3 + (0 - -3 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i. Let w(p) = -p**3 - 2*p - 23*p**2 + 20*p**2 + i*p. Let g(a) = -a**3 + 5*a**2 - 5*a + 1. Let m be g(4). Calculate w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d**2*n**3*r**2 - 5*d**2*n**3 + 19*d**2*r + 8*d*n**3 - 5*d*n*r**2 - d + 2*n**3*r + 3*n**3 wrt d?\nAnswer: 48*n**3*r**2 - 10*n**3 + 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98731, -196548, -294379, -392230, -490107, -588016, -685963?\nAnswer: -783954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 43. What is the remainder when 83 is divided by 8\/6*(-33)\/z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 6*g + 2. Let h be s(0). Let d(r) = -r**2 - 3*r - 2. Let w be d(-2). Solve 2*o + h*o - 20 = w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o + z + 504, -2*z + 513 = 3*o. Suppose 2 = 2*s, -s = -5*y + 50 + o. What is the remainder when 260 is divided by y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/15, -4, 4 in decreasing order.\nAnswer: 4, -8\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*z + 35, 0 = 4*k + 15*k + 2*z + 142 + 164 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213156, -426377, -639598, -852819?\nAnswer: -1066040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 304428, 608855, 913282, 1217709, 1522136, 1826563?\n\"Answer: 304427*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10889 is divided by 671.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250643.\nAnswer: 463, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-42 + 20) - -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -89*p + 2. Let b be o(-1). Let z be b\/35 - (-8)\/(-4). Factor z - 1\/5*x**3 - 7\/5*x + x**2.\nAnswer: -(x - 3)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4325, 17287, 38895, 69149, 108049, 155595, 211787?\n\"Answer: 4323*u**2 - 7*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*8\/(-3). Suppose n - 3*z = 68, -j*n + 323 = z + 12. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4\/(-12)*1). Which is the smallest value? (a) 0 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 1, n: 2, c: 4}. What is prob of picking 1 n, 1 p, and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 120, 219, 380, 627?\n\"Answer: 4*w**3 - 5*w**2 + 48*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from nvfvfffvvff?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 51 = -0*w. Let g = w + 165. Round g to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:23 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 494 = -2*d - 4*o, -2*d + 191 = 5*o. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from ccdsdscdcjsjsjsjssc?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(16)*-4)\/(sqrt(1152)*1)*1)**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 33 = 5*g. Let z = g - -18. Let u(j) = -j + 8. What is the remainder when 1 is divided by u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 10. Let o be (0 - (9 + -1))*-1. Let z be h(o). Let f = 0.5 - 1. What is the third smallest value in z, f, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.29266 centuries?\nAnswer: 0.929266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1234 + -870. Let w = 663 - s. Let u = w + -299.0000371. What is u rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/((-105)\/(-3))*-4)\/((-6)\/(-177)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(((-4)\/(-7))\/2). Let i(v) = -5*v - 15. Let u be i(w). Solve 0*q = 5*q - u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:37 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 7. Let z = 107 + -54. Suppose -44 = -4*y - 2*t, -4*y + z + 3 = 5*t. Calculate the highest common divisor of k and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 191365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 12*y**3 - 472*y**2 - 320*y = 0.\nAnswer: -2\/3, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 4, 6 in descending order.\nAnswer: 6, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8320130, 8320174, 8320218, 8320262, 8320306?\n\"Answer: 44*y + 8320086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 + 35*j**3 - 341.\nAnswer: -8*j**3 + 105*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 36*a + 520. Let o be n(-47). Solve -3*x + 2*b = 2, o*b = -6*x + x + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum 49 and -1.2.\nAnswer: 47.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-27))\/(1\/(-12)). Suppose -o*f + 17 = -7. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-11480)\/245 - (-5 - (1 + -5)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -69\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13144?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 3. What is n(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3\/((-36)\/(-20)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511 + 79*j - 25*j - 513 + 188*j + 104*j.\nAnswer: 346*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460 a factor of 309203873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-5 + 0)*-1. Calculate the greatest common divisor of 5 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*d - 4*f, -3*d = 5*f - 3 - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 3*l - 1 - 3*l**3 + 3*l**3 + l**2 + 2*l**3 + 6*l to the form t*l**2 + u*l + h + z*l**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + t - 1. Let d be o(1). Let n be 3 + (-1 + 6 - d). Differentiate 10*s - 18*s + n + 2*s**2 + 8*s with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/590 and -87\/236.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/327457 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, w: 1, n: 1, l: 1, h: 1}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*j + 16 = 0, 55*j = 4*f + 51*j + 24. Sort -35, f, 0.\nAnswer: -35, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4, 3*w + 6*j = 10*j + 11960. What are the prime factors of w?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Suppose 0 = 3*m + m - 112. Let d = m - x. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 18 = 6*j. Let c = -163 - -187. Calculate the lowest common multiple of c and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4182 at least -1.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 + -1007\/6. Let j(h) be the second derivative of 0 + 0*h**2 + v*h**4 - h + 1\/20*h**5 + 1\/6*h**3. Factor j(u).\nAnswer: u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 5823.\nAnswer: 23292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 391, 4 in ascending order.\nAnswer: -2, 4, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197457 - 197455. What is s in 52\/11 + 2\/11*s**h + 54\/11*s = 0?\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) - (3 + sqrt(2057)*-5)) - sqrt(2057) - (5 + -2*sqrt(2057)) - 1*(3 + sqrt(2057)*-3)*5)**2.\nAnswer: -11638*sqrt(17) + 1088682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -141.36 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 1609, 2900, 4201, 5506, 6809, 8104, 9385?\nAnswer: 10646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -153, -1, 4, -39, 5, 3 in descending order.\nAnswer: 5, 4, 3, -1, -2, -39, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3809 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 50*q**2 + 2*q. Let x(t) = t**2 - t - 1. Determine k(u) + 3*x(u).\nAnswer: 53*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:10 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.33, 386\/5, -215 in descending order.\nAnswer: 386\/5, 0.33, -2\/3, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139032 * 0.4.\nAnswer: 55612.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-5)\/4 - 0. Let i be -2 + 5\/3 - (-22)\/33. Which is the second biggest value? (a) 0.5 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 11. Let i be q(9). Let g(c) = -1 + 2*c**2 - i - 4*c + c. Let w(y) = 0 - 4 - 2*y + 2 + y**2 + 0*y**2. Calculate -6*g(n) + 10*w(n).\nAnswer: -2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*y + 377 = 0, -4*x + 3*x + 3*y = -71. What is the third derivative of x*l**5 - l**5 + 15*l**2 - 32*l**5 wrt l?\nAnswer: 2640*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11078 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let i(n) = -80*n**2 + n. Give y(i(k)).\nAnswer: 6400*k**4 - 160*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3426*c**3*w**2 - 354*c**3 + 144*c**2*w**2 - 6429*c*w + 2*c - 28*w**2 - 3*w wrt w.\nAnswer: 6852*c**3 + 288*c**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (77\/(-3) + -2)\/((-1)\/3). Suppose j = 2*m - b, 211 = 4*m - 4*b + 51. Suppose 3*a - m = -1. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.0584 (b) -0.39 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85846 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1571*q**2. Let s(a) = a. Determine s(z(p)).\nAnswer: -1571*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 228, -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*p - 134966 = 0, -5*u - 11*p + 134930 = -6*p. Round u to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 - 0. Let m be (1020\/48)\/(-17) - -9*12\/112. Which is the third biggest value? (a) m (b) 0.3 (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8. Suppose 3*b - 105 + 12 = m. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -397*l - 305*l + 4812912. What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5905781 is divided by 347398?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.81 - -10. Let u = 0.1587 - 89.0587. Let g = u - -89. Which is the closest to -0.1? (a) l (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6 + 14 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4797992 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -70 + -14 + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.36 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 16. Let q = -21 + 13. Let n be c(q). Determine s so that 1\/2*s**3 + 0 + n*s + 0*s**2 + 1\/2*s**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 16 - 16 + (-5 + 0 + 2)*(-1 + 1 + n**3 + (2 + 4 - 4)*(-2*n**3 - n + n) - n**3 - 2 + 2).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1210862 and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -6*j**3 - 2*j**2 - 5*j**2 + 4*j**2 - 6*j**2 + 14. Find the second derivative of f(d) wrt d.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-30)\/(-8)))\/((-1)\/(-15)). Suppose -5*s = -10*s - f + t, 5 = 2*s + f. What is the remainder when 7 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen ninths of a week in minutes?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -80*i + 1. Let u be p(-2). Let d = 70 - 72. Let q be (-1)\/d - ((-175)\/10 + -5). Calculate the highest common factor of q and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**7\/21 - l**3\/2 - 3*l. What is the second derivative of h(d) wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 9. Let y be h(-9). Let m = -15 + 8. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*j + 5, -4*a + 4*j = 5*j - 5. Suppose -2*r = a*r - 48. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33758471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 2*y**2 + 28*y - 7. Let k(z) = -z**3 - z**2 + 13*z - 3. Suppose 0 = -m - m + 26. Let p(u) = m*k(u) - 6*a(u). Let h = 6 - 9. Give p(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/7 + 23 + 2711304\/84. What is the greatest common factor of f and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 287.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2. Let j(p) = 14177*p**2 - 9*p. Calculate j(b(g)).\nAnswer: 56708*g**4 - 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 81818*h**3 - 5*h + h - 81816*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -2*v**3\/3 + v. Let c(k) be the second derivative of -12*k + 0*k**2 + 0*k**3 + 1\/3*k**4 + 0. What is l(c(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 25 = 3. Let u = -19 - c. Differentiate u*f + 10 - 15 + 13 with respect to f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g**2 + 0*g**2)*(3 + 0 - 4) + (320138 - 291*g - 320138)*(-2*g - 4*g + 5*g).\nAnswer: 290*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 1.17. Let y = -0.01 + s. Let k = y - -0.04. Which is the smallest value? (a) k (b) -1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -143, -316, -557, -872, -1267, -1748?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7\/8451, 4, -4, 2 in decreasing order.\nAnswer: 4, 2, 0.4, 7\/8451, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*t = -10, 0 = -5*f - 328*t + 323*t + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7888 and 1624.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -522a5 (base 15) in base 10?\nAnswer: -260480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 7. Let u be i(2). Let l(f) = -f**3 - 8*f - 8. Suppose 0 = 12*g + 3*g. Let j(b) = g + 3*b + b - 6*b - 2. Determine u*j(t) - 2*l(t).\nAnswer: 2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7.03. Let w = 0.07 + x. Which is the second smallest value? (a) -2\/15 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7182 and 13\/48?\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 11 = -j, 5*q + 2*j = 7*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-4)\/(-14))\/((-26)\/364).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvk when four letters picked without replacement from {v: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -78045*d**4 - 468260*d**3 - 390165*d**2 + 936590*d - 120 = 0?\nAnswer: -4, -3, 2\/15609, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3. Let i(o) = 2*o**3 + 15*o**2 - 6*o - 13. Determine i(m) + 6*w(m).\nAnswer: 2*m**3 + 15*m**2 - 6*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455 + -1253. Let c be (-3550)\/(w\/(-800) - 1). What is c rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3352*i**3 + 430*i**2 - 7625498*i wrt i.\nAnswer: 20112*i + 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.218820466 + 25.419.\nAnswer: 26.637820466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11002 - -2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4569 + 4181 = 7*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*n + k + 25, 0 = 3*n + 3*k - 6. Let a be 69\/n - 6\/(-42). What is the second derivative of w - 10 + w + 16*w**2 + a wrt w?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116562?\nAnswer: 2, 7, 19, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 221?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 + 3*f**2 + f**2)*(-220*f - 225*f + 446*f + 7).\nAnswer: -3*f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2635\/3 + 58099\/66. Find the common denominator of z and -63\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 172 - (((-12)\/(-2))\/3 - 1). Calculate the highest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -338\/5. Let r = -1933\/42 + 46. Let j = -121\/210 + r. Sort y, j, -0.3.\nAnswer: j, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 26*x + 4*x**2 + 0*x**3 + 2 - 1\/3*x**4 - 5\/2*x**5. What is the third derivative of b(j) wrt j?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - a**2 + 5*a**2 - 4*a - 3. Let p = 3 + 2. Suppose -3*w + 4*s + 12 = 0, -3 = p*w - 4*s - 23. Calculate f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.41359 - -131\nAnswer: 136.41359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000121800574 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 94, -857 in descending order.\nAnswer: 94, -22, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*d = -22 - 6, 4*d + 40 = -4*a. Let u(y) = -y - 7. Give u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let m be s(-1). Suppose 4*x - 8 = -m*u + 44, -20 = -2*x + 2*u. Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24499375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.7 - -4.5. Sort t, 0, -7, 1\/4.\nAnswer: -7, t, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 209*q**2 - 40*q - 526. Let i be d(-11). Calculate the highest common divisor of 93 and i.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1. Let t(x) = 4*x**2 - 2*x + 2. Let b be 6\/(-9) + 1\/(-3). Let g(i) = b*t(i) - 2*r(i). What is the second derivative of g(m) wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 3*s**3 + 322 - 83 - 77 - 79 - 83.\nAnswer: 3*s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let o(q) = 103*q**2 - 2*q - 2. Let r(l) = -34920*l**2 + 679*l + 679. Let j(b) = -679*o(b) - 2*r(b). What is m(j(v))?\nAnswer: 97*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 19. Let w be x\/4 + 2\/(-4). Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 623029\/15 + -41562. Let k = l + 137\/5. Find z, given that 0 + k*z**2 - 1\/3*z - 1\/3*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/3519 + -376685\/133722. Let k = j - -6\/19. Let y = -4 + 0. Which is the nearest to 2? (a) -2\/7 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2\/2 - 5. Let v(j) = -j**3 - 8*j**2 + 8*j - 4. Let d be v(-9). Let w(s) = 23*s - 27*s + d - 5. Determine w(q(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbts when four letters picked without replacement from {s: 1, m: 5, t: 8, b: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:52 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.5 + 4.8. Let l = u + 25.6. Which is the nearest to -1? (a) -1\/6 (b) l (c) 15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/9, 0.3, 274?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 + -3) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21 (b) -1\/2 (c) 3\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133395, -533591, -1200583, -2134371, -3334955, -4802335, -6536511?\nAnswer: -8537483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3539*n**2*u**3 - 3*n**2*u**2 - 762 wrt u?\nAnswer: -21234*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*z**2 + 83*z**2 + z + 2*z**4 + 8 - 42*z**2 as w*z**2 + b*z**4 + v*z**3 + m + f*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009819919897 rounded to 6 decimal places?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 154*m**2 + 9*m**2 as k*m**2 + o + p*m and give k.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 54*a**2 + 4*a - 15. Let v be q(5). What is the common denominator of 1\/((-3)\/(-122))*(-3)\/6 and v\/(-180) + (-2)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65885.42ml?\nAnswer: 65.88542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 (base 8) in base 7?\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58156379\/15 less than 3877091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14426447 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.6 - -11.1. Which is the closest to 7? (a) z (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 3. Let z = h + 6. Which is the closest to 0? (a) z (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 3. Suppose 4*d - 4*c = 0, -4*d - 3*c = -4*c - 6. Sort -1, z, d in decreasing order.\nAnswer: d, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 13. What is i(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25474 and 20054.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 + 2*z - 1. Let a(h) = h**2 + 4*h + 3. Let r be a(-4). What is x(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 5. Let m be n(-8). Let j(y) = y**3 + 12*y**2 + 11*y + 3. Let t be j(m). Let x(c) = c**2 - 5*c - 8. Let s be x(7). Solve t*u - s = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1273 - 3*p**2 + 2545 - 1266 - p**3. Determine v(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -13*w + 16*w. Suppose -10*t + w*t = 92. Let d = t + 58. What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347689680*c**3 - 4*c**2 - 1104*c - 5542.\nAnswer: 2086138080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-127)\/(-254) + (-13)\/(-4))*(-16)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {z: 15, n: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Suppose -g - 13 = -18. Let d(r) = 2*r**2 - 9*r + 16. Let w be d(g). Let v(b) = w*b - 2 - 8 + 7 + 7. What is v(u(i))?\nAnswer: 21*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -318905c (base 13) in base 2?\nAnswer: -111001100110100010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*p + 6, 5*p + 10*q - 23 = 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4046 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 214*v - 1756. Determine x(-98).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-18)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.33 >= 748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 3353. Suppose -n + 4 + 6 = -5*u, -3*n + 4*u + 8 = 0. Is h(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (2 - 2*-7). Suppose q = -91*y + 86*y. Let c = 8 + y. Solve 0 = u - 2, 0*b - c*u + 28 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 5, 1, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47884.18 kilograms to tonnes.\nAnswer: 47.88418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 169 - 4*p - p - 167 - p**2. Suppose 4*i = -3*r + 5, 0 = -4*r - 0*i - 4*i + 8. Suppose -3*n + 7 = s, r*n + n = 5*s + 41. What is c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2248200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**4 + 4*a**3 - 11*a**2 - 4. Let v(z) = -12*z**4 + 7*z**3 - 22*z**2 - 7. Let c(p) = -7*q(p) + 4*v(p). What is the third derivative of c(y) wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/22 (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147629037 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(171) + sqrt(171) + -5*sqrt(171)*-1)\/(4*sqrt(225) - (sqrt(729)*-3 + sqrt(729))).\nAnswer: 5*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 44*h**3 + h**2 - 20*h - 19. Give d(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 16*s**2 - 3*s - 1. Let t be w(-1). Let x be (-7)\/(33\/t + -2). Let q(k) = -14*k - 7. Let g be q(-5). Calculate the greatest common factor of g and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3293*u - 226992. Give v(69).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4 = 2*n, 8*n - 4 = i + 5*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - 4*r**2. Let w = 3277 - 3282. Let h(u) = 4*u**3 - 4*u**2. Give w*h(k) + 6*t(k).\nAnswer: -2*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*l - 24408, l + 2*l - 24402 = -4*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3, -11*p + 9*p = -t - 3. Suppose -421 = -n - t*o, -2322 = -4*n - 5*o - 603. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 10*t - 8. Let y be k(-1). Suppose 18*r = -y*r + 2150. What are the prime factors of r?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*((15 - 1) + -2). Which is smaller: -31\/5 or d?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/16 (b) 2\/7 (c) -0.47 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5\/4 + 5089*j**4\/2 - 2593845*j**3\/2 + 2054844*j**2 + 27962415*j\/4 - 9308601\/2 = 0?\nAnswer: -2, 3\/5, 3, 1017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22121100 (base 3) in base 9?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 6*j - 3, 0 = -4*n - 4*j + 132. Suppose 80 = 5*i + n. Let o(t) = 2*t**2 + 9*t. What is the least common multiple of o(-6) and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1538 - -1.1538. Sort -4, r, 2\/7, -0.2, -0.5 in decreasing order.\nAnswer: r, 2\/7, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124097095 to the nearest integer?\nAnswer: 11140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 - -1549. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115*x - 152.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4424\/8 + 8 + -6. Let j = a - 497. Calculate the remainder when 107 is divided by j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(0 - 2 + 0)*(-q + 2*q - 2*q) + (30 + 2 - 1)*(615 - 8*q - 615).\nAnswer: -250*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 + 1 = 0. Let i be (6\/v)\/(102\/170). Solve -5*p - 3*d - 10 = i*d, 37 = 4*p - 5*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 20. Suppose -3*t = y*f - f - 151, -3*f + 99 = 2*t. 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: Simplify (p\/(((p*p*(p**(-2\/9)*p)\/p*p*p)\/p)\/p*p))**(-2\/179)*(p\/(p*p**(-2\/17)))\/p**(5\/3) assuming p is positive.\nAnswer: p**(-41879\/27387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*k - z, -4*k = -2*k + z - 14. Sort 4, 10, k, -2.\nAnswer: -2, 4, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17567852 by -1126.\nAnswer: 15602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 6*v - 5*v)*(4 + 3*v**2 - 4 + (0*v + 0*v + v)*(v - 4*v + 4*v) + 16*v**2 + 53 - 53 - 3 + 3 + v**2).\nAnswer: -252*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -27*z - 3. Let u be -4*2*(-3)\/(-12). Let k be s(u). What are the prime factors of 3*4\/(36\/k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 536 + 0?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4361, 9, 2, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168 + -22087?\nAnswer: -22266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 342*n**2 - 1512*n - 58296. Give i(337).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.765 times 0.9?\nAnswer: -32.1885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = v + 7, -w = 2*w - 3*v - 3. Solve t = -2 - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7518587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5075 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4 + 2*f - 1 - 2. Suppose -5*r = 5*i + 96 - 116, -3*i + 14 = 4*r. Give u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*z**2 + 146*z**2 - 427*z**2 + 48*z**3 + 140*z**2.\nAnswer: 48*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = x + 5*q + 3, -2*x - 5*q + 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8363101574 + 3075.\nAnswer: -8363098499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1688*v**6 + 335*v**3 - 5*v**2 - 291784*v wrt v.\nAnswer: 202560*v**3 + 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and -645657 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2 - 876\/(-12). Let p = q + -37. Let h = p + -79\/2. What is the third biggest value in -0.02, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-27))\/((20\/6)\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865228441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/60 + t**4\/8 + t**3\/3 - 2*t**2. Determine y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 5*x**2 - x - 1. Let c be k(-5). Let w be 10\/c*6\/15. Suppose -w - 1 = -o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*m**3 - 36*m**2 + 21*m + 6.\nAnswer: -3*(3*m + 1)**2*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5214*s**2 - 1320346 + 1320346 to x*s + l + z*s**2 and give z.\nAnswer: -5214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7320)\/(-18) - (((-2)\/(-3))\/1 - 0). Calculate the greatest common divisor of l and 364.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/287 and -1\/7?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f, 0 = 6*m - m + 4*f + 13. Let u = -2.1 + 2. Which is the nearest to u? (a) 0.21 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.071453 times 0.236\nAnswer: 0.016862908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.1 - -7.09. Let t = -1109.01 + 1104. Let s = g - t. Which is the closest to -1\/2? (a) -3\/7 (b) s (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107.6654 - 0.0654. Let r = p - 108. Let j = -1\/12 + 3\/4. Which is the third biggest value? (a) j (b) -5 (c) 6 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5850\/(-104))\/45)\/(2\/48)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12041, 12020, 12011, 12020, 12053, 12116, 12215, 12356?\nAnswer: 12545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -121, 9, -0.6, 26\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34078 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17572\/29939 - -3\/611. Let t = 199653\/10 - 19971. What is the common denominator of a and t?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 127*h + 391. What is c(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**5\/4 + 5*o**4\/4 + 5*o**3\/3 + 10*o - 10. Let k(q) be the first derivative of l(q). Factor k(s).\nAnswer: 5*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9464 and 11283216?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139\/2 - -68. Let k = 1 - 0. Which is the third biggest value? (a) -3 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -13*z**5\/5 - 2*z**3 - 17. What is the third derivative of m(q) wrt q?\nAnswer: -312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23796*p - 114454 with respect to p.\nAnswer: 23796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -410, -3214, -10818, -25622, -50026, -86430, -137234?\n\"Answer: -400*s**3 - 4*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132 - -2?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.029229m to centimeters.\nAnswer: 102.9229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**6\/1440 - s**5\/480 + s**4\/48 + 11*s**3\/3 + 11. Let b(p) be the third derivative of z(p). Find l, given that b(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/2)\/((-9)\/(-462)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*g - 2004039 = 1071873. What are the prime factors of g?\nAnswer: 2, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:14 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -403 + 728. Let r = x - 324.999929. Round r to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-6 - (-14 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21170994 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 19 = 3*k, 0 = 5*y + 2*k - k - 21. Suppose 4*s + 0*q + 612 = y*q, 3*q = 0. Let z = -69 - s. Calculate the highest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -10. Let m = 7.28 - n. Let p = 0.08 - m. Which is the closest to -2\/5? (a) -4 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/670 at most as big as 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -109, -109, -107, -103, -97, -89?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/25, 172, -4, -11?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000162681 to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*r + 8944 = 62*r + 149*r + 120*r for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-1\/4)\/y)\/y)\/y)**(31\/3)*(y\/y**(1\/3))**(-1\/6))**46 assuming y is positive.\nAnswer: y**(-27899\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41526*d + 167440 = 43366*d for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/11))\/(r**(-2\/23)*r*r))\/(r\/r**8*r\/r**(-4)))**(-15) assuming r is positive.\nAnswer: r**(-3090\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -0.4, 29823 in decreasing order.\nAnswer: 29823, 0.13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/24 - m**3\/3 + 13*m**2 + 3. Give x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let y be r(-1). Let n(p) = p**2 + p + 3. Let v be n(y). Let m(b) = -1 + v*b - b**2 - 2*b**2 - 4*b - b**3. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 0*b**2 + 7 + 0*b - 2\/3*b**3. Let g(y) = 3*y - 3. Let p(m) = -6*m + 7. Let w(s) = -7*g(s) - 3*p(s). What is u(w(c))?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -354*c - 6370. Determine s(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1317514 by -22.\nAnswer: -59887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -87. Suppose -r - r + 30 = -4*s, -3*s = 2*r - l. Suppose w = r - 80. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-24) + 156\/36\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144422 - -13?\nAnswer: -144404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 8. Find the third derivative of -i**l - i**3 - 2*i**6 - i**3 + 2*i**3 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 226568, 453262, 679956?\n\"Answer: 226694*m - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**2 + 2. Let j(m) = -10*m. Let r(f) = 30*f. Let h(i) = -10*j(i) - 3*r(i). What is h(s(q))?\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 89 + -89 - (6\/1)\/(-1). Let k be (1\/2)\/((-1)\/(-14)). Are r and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*n + 5096 = 0, 4*n + n - 3828 = -3*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrxxrxppxxx. What is prob of sequence prrx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -991.9376 to zero dps.\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**3 + 6*f**2 - 14*f + 6. Let i(h) = h**3 + h**2 + h + 1. Give 6*i(x) - z(x).\nAnswer: -2*x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 94 = -60. Suppose -45 + 365 = 4*f. Let n = f + -155\/2. Is n bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 x, and 1 z when three letters picked without replacement from xtntz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-178 - -179)\/((-2)\/(-40)). Let c(w) = w**3 - 8*w**2 + w + 2. Let q be c(4). Is ((-2)\/(-8)*q)\/((-2)\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(45\/25))\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**2 + 2. Let q(b) = -b + 8. Let j be q(6). Let c(w) = -2*w**2 - 3*w**2 + 5*w**j + 2*w**2. Calculate n(c(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 - 276.4. Let d = 4.5 + l. What is the second biggest value in -4, -1.7, d?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*99\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5158 - 5158. Solve s = -3*i, -2*d + i = -4*i + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410921123 to the nearest integer?\nAnswer: 20271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000484059243 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 904717079 to the power of 1\/2, to the nearest integer?\nAnswer: 30079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25106 is divided by 9423.\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 20442334?\nAnswer: -20442342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131806 = 61*x - 1132599 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-207) - 92\/(-90). Let k be (-10)\/2 - 646\/(-133). What is the closest to 0.2 in -9, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfu when three letters picked without replacement from {f: 6, g: 1, d: 2, u: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*f + 24. Let t be f\/(-27) - 32\/(-18). Factor -t*u**4 - 3*u**2 - 3*u**3 + 9*u**3 - u**4.\nAnswer: -3*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91731837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-10))\/(-3)*-15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/145 (b) 2\/3 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(7)*-2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 7*f**2 + 11*f - 11. Let j be (-52)\/(-8) + 1\/2. Let h(b) = -b**3 + 3*b**2 - 5*b + 5. What is j*h(v) + 3*x(v)?\nAnswer: -v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18044\/11, -1, 3, 0.1003?\nAnswer: -18044\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.89 - 0.11. Let l = 46.78 + o. What is l rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-15\/2)\/(a\/a**(-9)) assuming a is positive.\nAnswer: a**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 3. Let u be f(7). Let q be 118\/(-4)*(-1 + -1). Let i be q - (2 - (-1 - u)). Calculate the highest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 + 3*s. Let r(t) = -8*t. Calculate n(r(d)).\nAnswer: -576*d**2 - 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460 divided by -3?\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 4, h: 5}. What is prob of sequence ho?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 5, 59, 1\/6 in decreasing order.\nAnswer: 59, 5, 0.6, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396040*j**2 + 1219142*j**2 + 1028670*j**2.\nAnswer: 2643852*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-27)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + o + 3)*(-4*o + 3*o + 0*o) + 0*o**2 - 13 + 15 - 3*o**2 + (-3*o + o**2 + 3*o)*(-4 + 3 + 3).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72454\/7 - 10351. Which is the second biggest value? (a) -3\/2 (b) m (c) 141 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*a + 36, -6*w - 3*a + 249 = -w. Suppose -m + w - 7 = 0. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 151\/3. Let a(l) = -l**2 + 4*l + 5. Let d be a(4). What is the third biggest value in i, d, -0.17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/4))*k)**(-43)\/(k**(1\/4))**(3\/14))\/((k*k\/(k\/((k*(k*k**(-3\/8))\/k)\/k))*k)\/(k*k**(-14)\/k*k))**(-1) assuming k is positive.\nAnswer: k**(-1097\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*d - 6*d + 78, -5*m + 104 = 4*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*a = 80*a + 168423. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 - 2*h**2 + 7*h**2 - 6*h**2.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49544 is divided by 4503.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*l - 64*l**2 - 42*l)*(3*l + 2*l**2 - 3*l).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) - ((sqrt(2268) - (sqrt(2268) + -4*(sqrt(2268) + 1*sqrt(2268))) - sqrt(2268)) + sqrt(2268)))\/(sqrt(28)\/(sqrt(7)*-1) - -1*sqrt(144)).\nAnswer: -63*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z**2 + 6*z + 7. Let o be l(-3). Solve -2*c + 6*c - 42*c**2 - 2*c**3 - 44*c**2 + o*c**2 = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-134)\/(-32))*2. What is the nearest to 1 in -1, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(240)\/(sqrt(108)\/sqrt(9)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560345?\nAnswer: 3, 5, 17, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -62066.264 + 40371\nAnswer: -21695.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -2 (c) 4008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 - -246.841. Let r = -0.647 - k. Round r to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-744)\/(-186))\/((-22)\/(-22)*(-1)\/4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24\/(-20)*(-3 + -2) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 33720023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o**5 + 8686*o**4 + 1771108*o**3 - 50667300*o**2 + 18916146*o + 29971350 = 0. Calculate o.\nAnswer: -447, -3\/5, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 45 = -2*d. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 4. Let l be v(4). Let h be l\/10*(-20)\/(-6). Suppose 23 + h = -y. Round y to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7 - 7*a**2 - 3 - 11*a**2 + 17*a**2 + 16*a. Let o be u(16). Suppose -3*v = 2*b - 55, -6*v + 100 = -2*v - o*b. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -488 + 491. Factor -z**3 + 0*z**3 + 3*z**4 + 2*z**5 - p*z**5 - 5*z**4.\nAnswer: -z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 14 + -3 + 1. Let n = b - 7. Suppose -n = -p + 12. Calculate the highest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j**2 - 33*j + 60. Let k be u(-34). Let m = k - 62110. Round m to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 + 3*j**2 + 3*j. Let x be m(-2). Let n = x - -62. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373555403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11111002110 (base 3) to base 4\nAnswer: 111203103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -2.9. Let n = 1.15 + -4.15. What is the nearest to 2\/3 in y, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 11010001010010001001100?\nAnswer: -11010001010010001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*c + 12 + 33 + 29*c - 41.\nAnswer: -47*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7342012, 7342009, 7342006, 7342003, 7342000?\nAnswer: 7341997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.266 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333 + -71. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1655*y + 5*y**3 + y**3 - 852*y + 2507*y.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 5*i - 1. Let v be g(2). Let c(y) = 2*y**2 - 2*y + 1. Let l be c(v). Suppose -2 - l = 2*o + w, -w - 4 = 3*o. Which is smaller: 1\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -31.9. Sort t, -12, -1\/11 in increasing order.\nAnswer: -12, -1\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116, -218, -320?\n\"Answer: -102*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27202051 is divided by 936.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120036025 (base 7) in base 12?\nAnswer: 259a7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.361 rounded to 1 decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-1)\/((-8)\/56).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -417 and 1404?\nAnswer: -585468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*x = -23, 5*p + 11 = 5*x + 61 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0.1533, 3\/4, 1\/4, -21\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93292.58 millennia?\nAnswer: 932925.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 4*m + 108 = 0. Suppose 3 - m = -2*g. What is the remainder when 83 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297 or -298?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 742*l + 3*l**2 + 14*l.\nAnswer: l**2 - 728*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2. Suppose 4*p - 5*p = 1. List the prime factors of b(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5326017 - 19*x**3 - 5326017 + 95*x**2 - 44*x**2 - 48*x**2.\nAnswer: -19*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/3 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -9)*154031\/(-362). Solve -z*l + 18 = -2550*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h**3 - 87*h**3 + 41*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43896638 and 10?\nAnswer: 219483190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8960.674l to millilitres.\nAnswer: 8960674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61\/2 of a micrometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - 25. Let y = u - -33. Which is the third smallest value? (a) 1\/3 (b) 0.2 (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 - 391576*u - 2349312 = 0.\nAnswer: -97888, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*-0.09.\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7662122 tonnes?\nAnswer: 766212200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1785 - 1784.93239. What is h rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/2*(-2)\/6. Let p = j - 2. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -649 times -0.2?\nAnswer: 129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f*f*f**(-4)\/f*f)\/f)\/f*f**(-2\/7)\/f*(f\/f**(-2\/5)*f*f*f*f)**(-1\/17)*(f\/f**(2\/3))**(-19)\/(f\/(f\/f**(-1\/3)))**(2\/13) assuming f is positive.\nAnswer: f**(-252596\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 31*t**2 - 9*t + 19. Let a(f) = 2*f**2 - 52*f - f**2 + 54*f. Let n(y) = -5*a(y) - d(y). Find the second derivative of n(j) wrt j.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126.8 times -0.3\nAnswer: -38.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*o + 46 = 0, 0*k - 2*k = 3*o - 46. Suppose -3 = 5*b - k. Is b <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-6 - 53) + 35?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + q + 8*q. Suppose 0 = -4*h - 207 + 1071. Let x(m) = -111*m - 108*m + h*m. Determine y(x(g)).\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65400 divided by 8175.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4 - -8)\/8)\/((-2)\/20). Let m = -1 + 0.7. What is the second biggest value in r, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*i**4 - i**3 - 126 wrt i?\nAnswer: -68*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9134, 3, 4, -15?\nAnswer: -9134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1677558 kilograms?\nAnswer: 167755800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42161 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16816 - -255?\nAnswer: -16571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690539773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l. Give u(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3016738 is divided by 549?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130065)\/18850*(-30)\/(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 62379873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1301 - 1295. Let a(t) = t**3 - 7*t**2 + 3*t - 4. Determine a(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 9*h + 33. Let c be s(3). Let j = -4 + 6. Suppose 0 = j*k - 3*x - 33, -3*k - k = 5*x - 33. Calculate the greatest common divisor of c and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/150960 and -19\/161024?\nAnswer: 2415360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/32 and 101\/36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*t - 6*t. Let r(p) = p + 10. Let f be r(t). Calculate the highest common divisor of f and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6402 and 115\/315342.\nAnswer: 336469914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -12. Suppose -h*g - 72 = -17*g. What is the remainder when ((-4)\/6)\/(g\/(-2673)) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 183?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -69*x**5 - 2904*x**4 - 4875*x**3 + 34788*x**2 - 24540*x - 2400 = 0.\nAnswer: -40, -5, -2\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/27, 2, -20, -0.5, 25, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90889 and 10088.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 - -107. Let n = q + 85. Let d = n + -22.4. What is the third biggest value in 0, d, 1\/4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + 0.03. Let a = 1855 - 5567\/3. Let s be 2\/7 + 16\/(-154). Sort j, s, a in increasing order.\nAnswer: a, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4968852*l**3*m**2 + 12208*m**2 + 4*m + 323 with respect to l.\nAnswer: 14906556*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {l: 1, c: 5, r: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**2 - 2*h - 3. Let n be g(-2). Let y = 5 + n. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.92 times -1.1\nAnswer: 10.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:11 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 84. Let w = i + -14. What is the highest common factor of 30 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -h + 2, 2*b + 1 = 4*h - 1. Let x(k) = k - 7. Calculate the remainder when x(9) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 30 = -7*q. Solve 0 = 2*j + g - q*g + 12, 5*g - 40 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 263. Let r = 127 + x. Solve 0*m = -m - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 1, 1\/5, -2\/19, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-27)\/(-567))\/(14\/48)*133\/646?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(1566\/(-27) + 42)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axaa. Give prob of sequence aax.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {b: 1, d: 5, t: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3738687 to the nearest ten thousand.\nAnswer: 3740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -5*o**8\/84 - 2*o**5\/5 + 9*o**2. What is the third derivative of f(t) wrt t?\nAnswer: -1200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21*u = -2964. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 622 - 101 - 221 - k as w + i*k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -158273995 divided by 31654799\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 15\/4 - 17*63\/3996.\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r - r**3 + 1\/3*r**2 - 2\/3 + 1\/3*r**4 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/8 + 907*i**2\/8 + 9765*i - 16268769\/2 = 0?\nAnswer: -558, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9890481011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -389290 - -5.202?\nAnswer: -389284.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -94, 3, 1404, -2, 58 in decreasing order.\nAnswer: 1404, 58, 3, -2, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -560 + 1798\/3. Let j = -566\/15 + o. Let 8\/5*v - 2\/5*v**2 - j = 0. Calculate v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, -2, 2469, 0, -5 in descending order.\nAnswer: 2469, 16, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 758912903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 2403, 7584, 17535, 33846, 58107?\nAnswer: 91908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 743093 and 4054034.\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxmmmmxmxvxxmvxxxm?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3347436.\nAnswer: 2, 3, 17, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41142993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(98) - (2 + sqrt(98) + -2)))**2 - ((sqrt(98) - (1 + sqrt(98) + 0 + sqrt(98)))**2 - (0 + sqrt(98)*-3)).\nAnswer: -99 - 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 14*z**2 + 3. Let h be u(-14). Suppose g = h*g - 10. Suppose -2*m + 4*m = g*x - 163, -x = -5*m - 28. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 6)*(30 - (-1359)\/(-45))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let r(b) = 70244*b. What is l(r(h))?\nAnswer: 140488*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 496.865 tonnes?\nAnswer: 496865000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -67.1. Let o = -38 + 62. Let k = 27 - o. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/1)\/((-627)\/66)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-290)\/60) - 0*1\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w - 59*w - 4*v = -67, 5*v - 257 = -3*w. Solve -5*o - 36 = 95*m - w*m, m + 12 = -4*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3*r = 12. Let l be (14\/4 + r)*-2. Calculate the common denominator of -2*(l + 140\/(-48)) and 41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 22 = 4*l, -15 = 2*l - 5*q + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1779324, -3558655, -5337986, -7117317, -8896648?\n\"Answer: -1779331*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 769357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 = 7*s - 11*s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 178*f**4 + 11029*f**3 - 306600*f**2 + 3861396*f - 17929296 = 0 for f.\nAnswer: 14, 33, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 2*c + 34, 0 = -3*z + 5*c + 43. Calculate the smallest common multiple of z and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let j(k) = 5*k**2 + k**3 + 6 + g - 5*k - 3. Let y be j(-6). Solve 4*t = 2*s - 8, s - t - 8 = y*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2426, -70 in increasing order.\nAnswer: -2426, -70, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19)*l**(-30))\/((l**(-7\/3)\/l*l)\/l**(-2\/9)) assuming l is positive.\nAnswer: l**(-422\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 20*m + 26. What is the remainder when y(19) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrr when three letters picked without replacement from rnnrrnr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 5*z + 5. Let m(r) = -r**3 - 2*r + 2. Determine 5*m(q) - 2*t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-238)\/(-42) + -1*6. Which is the closest to 0? (a) j (b) 0.5 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15) + -1 - (-893)\/665?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/23*s**3 - 8\/23*s**2 - 6\/23*s + 4\/23*s**4 + 0.\nAnswer: 2*s*(s + 1)**2*(2*s - 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 + 42228*k**2\/11 - 1812106*k\/11.\nAnswer: -2*k*(k - 21071)*(k - 43)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*o - 8 = 0, 4*o = -49*s + 46*s + 26. Solve -4*h = -d - 22, 3*h - s - 13 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 39109?\nAnswer: -39113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 1\/270643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416251207, -832502413, -1248753619, -1665004825, -2081256031?\nAnswer: -2497507237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(6336) + 1)**2 - sqrt(6336)) + -4.\nAnswer: -12673 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69332, 138192, 207052, 275912?\nAnswer: 344772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:08 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2673*u**2 + 1322*u**2 - 4 + 1405*u**2 + 5.\nAnswer: 54*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-65) + (-2)\/13.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/12)\/r)\/r**(-27))**(-12\/7))**46)**(-4) assuming r is positive.\nAnswer: r**(57224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 7*z**2\/2 + 2. Let f be c(3). Suppose -d + f = -88. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 2099 = -279*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44617669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/72 + r**5\/24 + r**4\/6 + 2*r**3\/3 - 3*r. Let s(y) be the second derivative of x(y). Is 16 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(2\/32). Let o = t - -1. Let n(j) = j**2 + 8*j + 10. Let i be n(o). Solve -5*r - i - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = 5*s - 149 + 241, 0 = 3*a - 4*s - 43 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14550248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 793*w - 12148. What is d(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3191 less than or equal to 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*j**4*y**3 - 2505*j**4 + 32347*y**3 - 2*y wrt j.\nAnswer: -88*j**3*y**3 - 10020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16854.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7056 = 709. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -5, -9\/167.\nAnswer: -5, -9\/167, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 170*l - 165.\nAnswer: -5*(l + 1)*(l + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d**3 - 5*d**2 + 5*d + 16. Let m(f) = 15*f**3 - 6*f**2 + 6*f + 17. Let c(w) = -6*j(w) + 5*m(w). Differentiate c(p) wrt p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 64155*h - 47609862.\nAnswer: 3*(h - 22103)*(h + 718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 23.5. Let j = 1.7 + p. What is the third smallest value in -0.07, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1507*t**4 - 2379*t**4 - 2*t - 579 + 3018 wrt t.\nAnswer: -46632*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, -3, 0.3, -0.3, -145.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -416.9998115 - -417. What is m rounded to 6 decimal places?\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -11*k**4 - 3*k**2 + 3*k. Let y(u) = 10*u**4 + 2*u**2 - 4*u. Let b(a) = 2*j(a) + 3*y(a). What is the second derivative of b(d) wrt d?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286373 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9372.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2671430 (base 9) to base 12\nAnswer: 5a73b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 4*y + 5*y + 4*y. Suppose 4*k - 579 = -507. Suppose -5*p = p + k. Calculate n(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011001011011111001 - -100?\nAnswer: -100111011001011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -9.546.\nAnswer: -95.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*r + 8 = 0, 4*o - 5*r = -18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) + sqrt(4752)*4*-6)\/(-4*sqrt(176))*-6.\nAnswer: -207*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of ((-452726)\/636)\/(1\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -0.1. Suppose -2*f - 3*j + 2 = -5, 0 = -4*f + 3*j + 5. What is the nearest to f in z, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8000 + 67?\nAnswer: -7f99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(-4 - 51\/12). Let q = 1.53 - 1.467. Let k = -3.937 - q. What is the biggest value in 0.3, z, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92465 is divided by 460.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from gvgfvgvvgfgfgvgvfvf.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(272) - -1*sqrt(272)*6 - sqrt(272)))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80*(-270)\/25200)\/(22\/28).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*c = 381, -c = 4 - 0. Let h = -1477\/12 + g. Is h less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -470b - -1922?\nAnswer: -29a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-36)\/(-28)) + 74\/14. Let s be 1\/2 + 195\/10. Solve b = w*b + s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -3*x, -4*q - q + 16 = 3*x. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 121. Let y be k(15). Let n(j) = -j**3. Let s(i) = -i**3 - 2*i**2 - 2*i. What is y*s(q) + 2*n(q)?\nAnswer: -q**3 + 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 4 (c) -0.1 (d) -1 (e) -1\/7 (f) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337307560.\nAnswer: 2, 5, 33432689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from zwwyyp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3698 = -102*i + 188*i. What is the nearest to 1 in -3\/2, i, 9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -486 + 486.3. Let n = -532 + 532.4. Let b be 3\/(-6) - 1\/(-10). What is the nearest to -2\/13 in g, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -98. Let x = u - 88. Let a = x - -27.9999728. What is a rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a - 5 - 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) 254 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/135)\/(1 + 2\/10). Let w be ((-1)\/(-10))\/((-1)\/(-6)). Which is the nearest to 2? (a) u (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*k*m**2*z**2 + k*m*x**2*z**3 - 1438*k*m*x + 2*k*x**2*z**2 - k*z - 241*m**2*x**2 - 2*m**2*z**3 - 6*m*x**2*z wrt m.\nAnswer: 50*k*z**2 - 482*x**2 - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4596, -4500, -4348, -4146, -3900, -3616, -3300, -2958?\nAnswer: -2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 0*g**2 - 1\/5*g**4 - 2\/5*g + 1\/5 + 2\/5*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = 30*g - 37*g. Let q = 228 - g. Is q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 28*m - 2. Let i be l(5). Let p(h) = -3*h**2 + 17*h - 1. Let a = -152 + 155. Let u be p(a). Calculate the greatest common factor of u and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 3*m + 4. Let l be q(3). Let k(v) be the first derivative of v**2\/2 + v + 13. Determine k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - t)*(t**2 + 7 - 10 - 10)*(4 - 6 + 20) to the form h*t**3 + r*t**2 + i*t + c and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352 (base 10) to base 13.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 9*n - 5*g - 17, 0 = 5*n + 5*g - 15. Suppose -2*d = -5*i + 170, 0*d + 10 = -2*d. Calculate the highest common divisor of i and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16902091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 827*u + 3. Let a(c) = -2*c. Determine n(a(b)).\nAnswer: 4*b**2 + 1654*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*w + w. Let x be (w*(-164)\/(-6))\/((-4)\/(-24)). Suppose -b - x = -5*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 520 and 130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.1331 millilitres to litres.\nAnswer: 0.6421331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 7. Suppose 0 = 2*n - 0*w - 5*w + 146, -236 = 4*n + 4*w. Let l = n - -56. Let c be y(l). Solve c*f - 4*f = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0 + 1\/120*f**6 + 0*f**4 + 2*f**2 + 0*f**3 + 1\/20*f**5 + 0*f. Find the third derivative of a(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 125, 210, 329, 482?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i**2. Let x(a) be the first derivative of a**4\/12 + a**2\/2 + 2. Let g(p) be the second derivative of x(p). Give w(g(y)).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = i - 241, 3*t - 148 = -3*i - 1. Suppose -13*y - 3*y = -t. Suppose 10*h - 20*h + 5*h**2 + 22*h**3 - 17*h**y = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2943*q - 68386 - 81261 + 34870 = 0 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8542 = 60*i + 6442 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 + 1101111001?\nAnswer: 1101102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) - ((-4*sqrt(88) - sqrt(88)) + sqrt(88))))\/(sqrt(128)*2).\nAnswer: -25*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334868 is divided by 66743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6*a**2 - a - 1. Let v be (56\/(-35))\/((-2)\/65). Suppose -4*i - 4 = -v. Suppose -3*o - i = -o. Calculate l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 4*g + 39 = 0, -m - 5*g = 6. Let p = m - 16. Does 8 divide (48\/p)\/((-4)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**4 + 12318*b**2 + 223591*b?\nAnswer: 84*b**2 + 24636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.05. Let s = -0.35 + r. Let w = 497 - 498. Which is the third smallest value? (a) -1\/2 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/42)\/((-39)\/21)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-10)*(-10)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + (13 + 11)\/(-6))*3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241098 is divided by 77.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13353 is divided by 431.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13733983.376 rounded to the nearest 100000?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5025 and 32227.\nAnswer: 2417025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1542 and 257?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 29 = -q, -55*q + 57*q = 4*z + 26. Is 2\/27707 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11210 (base 12) to base 4.\nAnswer: -11203230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6*(-12)\/(-56).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ureuueuruujujrrjeuj. What is prob of sequence jr?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 - 4 = 4*d, -2*l + 7 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 460097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (46 - 9) - (3 - (13 - 21) - -1)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*z, -45 = 3*d - 8*d + 4*z. Suppose -2*k - 234 = d*m + 555, 3*k + 1158 = m. Let s be k\/(-45) + 3\/(-5). Solve -s = p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 935787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 5*v = -47*t + 7, 2*t + 3 = 3*v. Let q(f) = 4*f + 9. What is q(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000138388 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/3*5211\/18?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2452715875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 - 4767*b - 19052 = 0.\nAnswer: -4763, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8768 + -1?\nAnswer: 8767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**2 + 0 + 0*q + 11\/2*q**3 + 1\/2*q**4.\nAnswer: q**2*(q - 1)*(q + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 0.01, 1 in decreasing order.\nAnswer: 1, 0.01, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112 - 58*f + 58*f + 1112 - 14*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*o)*(-1 - 1 + 4) + o - 2*o - o - o + 3*o - 33*o)*(-16 + 5*o**2 + 16)*(-5*o - 2*o + 2*o).\nAnswer: 725*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706*g**2 + 36*g**3 + 57*g + 39*g + 16 + 822*g**2 = 0. Calculate g.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a**3 + 0*a**4 - a**2 + 1\/12*a**5 + 0*a + 0. Let r(p) = p**2. Give r(c(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, 375, -13, -4, 107 in descending order.\nAnswer: 375, 107, -1, -2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -212?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**9)\/((k**2*k)\/(k*k**(4\/7)*k)) assuming k is positive.\nAnswer: k**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -3*h**8\/19040 - h**7\/10710 + 7*h**4\/2 - 4*h + 1. Let t(a) be the third derivative of p(a). Factor t(o).\nAnswer: -2*o**2*(9*o + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -16. Let v = 164 - 192. Let y = t - v. Which is smaller: -1\/3 or y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 983.\nAnswer: -196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*p**2 + 1630*p?\nAnswer: -514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62673.73 and -2.\nAnswer: 125347.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(13) + sqrt(13) + sqrt(52)*-5 + sqrt(13) - sqrt(13)) + 4)*5 + (sqrt(52) - sqrt(13)) + 5 + 3 + sqrt(52) + 4.\nAnswer: -37*sqrt(13) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/13? (a) 0.2 (b) 5 (c) -4 (d) 7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 12. Suppose 0 = -4*p - j + g, -p - 6 = -0*p - 2*j. What is the remainder when 38 is divided by -2 + 11 - (-1 - p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210238329*t**3 + 116177*t**2 - 507*t wrt t?\nAnswer: -1261429974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 f when four letters picked without replacement from {g: 1, b: 1, f: 1, r: 2, m: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36169 = -3*a, 5*y - 15729 = a + 29487. List the prime factors of y.\nAnswer: 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -71. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 518693035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1977*h**4 + 2282?\nAnswer: -7908*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + j**2 + j - 2. Let z be x(1). Suppose -10*i = -11*i - z. Let u be 6*(-1)\/i + 6. Which is smaller: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -2197*a**7\/525 + 3211*a**6\/300 - 39*a**5\/5 + 41*a**4\/15 - 8*a**3\/15 - 13*a**2. Factor t(j).\nAnswer: -2*(j - 1)*(13*j - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 14 = g, 0 = 2715*i - 2713*i - 2*g - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 144*k**3 + 2016*k**2 + 8448*k + 11520.\nAnswer: -3*(k - 60)*(k + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289\/35 - -42\/5. Let q = 3.83 + -3.63. Let z = -1 + 3. What is the smallest value in q, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1144.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495728?\nAnswer: 2, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 393*d**2*i**3 + 9*d**2*i**2 + 39*d**2 wrt i?\nAnswer: 2358*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b**3 + 11*b**2 - b - 8. Let p be 3\/(-18) + 26\/12. Let f(l) = 3*l**3 + 4*l**2 - 3. Let q(m) = p*w(m) - 7*f(m). Does 5 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.1 - 8. Let a = 1.3 + p. Let r = 3\/7 - 1\/35. What is the nearest to r in 0.1, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24353 + -380?\nAnswer: 23863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 12. Let l = s - -21. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3479.52 minus -0.106?\nAnswer: -3479.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -37. Let z be ((-2)\/6 - 0)*1. Which is the closest to 2\/5? (a) z (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 6974?\nAnswer: -69.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*p = 44, -20 = -2*v + 2*p - 2. Suppose -8*o = v - 72. Calculate the least common multiple of o and 234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1001 - 998. What is the third smallest value in l, 1.5, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -378, -245, -70, 141, 382?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2. Let o(x) = -29*x**2. Give n(o(k)).\nAnswer: 3364*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 463711 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let o(l) = 3*l + 2. Let x be ((-40)\/(-30))\/((-2)\/(-3)). Suppose -x*f = 13 - 15. Give f*o(j) + 4*v(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 103 - 43?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55275910.\nAnswer: 2, 5, 5527591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -90717471 less than 0.12?\nAnswer: 90717471.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19673, -19752, -19885, -20078, -20337, -20668, -21077, -21570?\nAnswer: -22153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 - 9*u + 24. Let q be p(2). Let m(j) = 0*j**2 - 2*j + 15*j - j**3 + 7 - 4*j**2. Let o be m(q). Is -1\/20 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.83 - 1.83. Let z = -0.1 + 0.1. Let r = z + 0.5. Put t, r, -3 in decreasing order.\nAnswer: t, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305229499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107306658 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*r = -4 + 16, 5*r + 10 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/14)\/((-74)\/7)*(-106 - (-12640)\/120)\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from {c: 3, o: 1, h: 1, p: 1, y: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.897699 minutes in nanoseconds?\nAnswer: 593861940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 13*k**2 - 3*k + 32. Let w be b(13). Let i(r) = -13*r + 14. What are the prime factors of i(w)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126760 and 56?\nAnswer: 887320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 35 = -47. Let o be 665\/38*w\/7. What is the highest common divisor of 24 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1419 - 1419. Let v = -5 + 7. Solve v*y - y = z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 280 = -c. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 24 + 0 = 0. Let l be -2*81\/30 - (-6)\/15. Let y(h) = -2*h**2 + h + 1. Let i(s) = -11*s**2 + 11*s + 9. Let x(m) = l*y(m) + i(m). Calculate x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*k + 189*k = 310 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16)*2*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23\/2*h**4 + 0 + 47\/2*h**3 - 37\/2*h**2 + 3\/2*h**5 + 5*h = 0. Calculate h.\nAnswer: 0, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 164640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1112 - -1119. Let l(v) be the third derivative of v**5\/60 - 5*v**4\/12 + 7*v**3\/3 + 41*v**2. Give l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -275, -364, -429, -470?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3818126 and 786.\nAnswer: 11454378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4717 + -4721. Put 155, 1, k in ascending order.\nAnswer: k, 1, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l, 4*l = -5*t + 5*l + 30. Suppose 23 - 7 = -y + 4*v, -2*y = -5*v + 20. Put 2, t, 1, y in decreasing order.\nAnswer: t, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 1. Let n be p(-1). Suppose 0 = -2*k - 6, -3*y + 4*k - n = -20. Suppose -x + 34 = c, 0*x + y*x = 2*c + 76. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1928 (c) 0.2 (d) -7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose d*k = -2*k. Let y = k + 1\/2. What is the closest to y in -1\/8, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 4, -2\/115, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6156900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a**2 + 4*a - 3. Let x be v(-4). Let c = 1 + x. Calculate the lowest common multiple of c and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-17556)*22)\/((-9)\/(-63)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 - 2*r - 4. Let m be 10\/(-3) + (-2)\/3. What is the units digit of p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u. Let y be v(1). Suppose -d - 4 + 29 = y. Suppose -5*x - 1 = 3*w, 0 = -5*w - 5*x + 2*x + d. What is the smallest common multiple of w and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = 0, 3*m - 62 = -0*m - 2*p. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*r + 5 + 14 = 0, 2*g - 3*r = -10. Suppose -f = -4 - g. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 11*w**2 - 13*w - 11. Let m be d(-10). Which is greater: m or 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33738, 33910, 34082, 34254, 34426, 34598?\n\"Answer: 172*x + 33566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7200))\/(sqrt(60)\/(sqrt(18)\/sqrt(3))).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*t - 102, 4*t + 3*i = 150 - 14. Let g = t + -3. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-183)\/(-4941)*(3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeesseeeeseeseess. What is prob of picking 2 s and 1 e?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:53 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 - 1. Let k be g(-2). Let n be -1*23 + (9 - 6). Let d be (-2)\/(-10)*n\/(-16). Which is the third biggest value? (a) -0.1 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:07 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 + 3 + 3 - 2*g**2 + 8 to a*g**2 + l*g + z and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 = -7, -3*a + 53 = -2*m. Suppose -3*n = -0*n - a. Let s(j) = n*j + 8*j - 12*j. Let l(v) = 4*v. Calculate s(l(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 24, 76, 160, 282, 448, 664?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(2*sqrt(640)))\/((sqrt(2) + sqrt(50))*5*4) + 4.\nAnswer: sqrt(13)\/1920 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 386835 > 386836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {y: 2, m: 5, s: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from eeeheehhph.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11858198 * -0.2\nAnswer: 2371639.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + o - 3)*(-14*o + 10*o - 1 - 30*o).\nAnswer: -34*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6136.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((6 - (56 - -9)) + -8 + -2 + 1)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = n, 6*n - 12 = 4*n - 3*d. Suppose n = -j + 1 + 8. Suppose 0*a - j = -3*a + x, -2*a + 7 = -x. Solve -2*t + 2 + 0 = -k, -5 = a*k - 3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (63\/18)\/(2\/4). Let a be (-8 + q)\/(1\/(-277)). Suppose 4*k - a = 7*s - 2*s, 139 = 2*k - 3*s. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30686968 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 311405*l**2 - 2700 + 0*l**4 + 62*l**3 + 2*l**4 - 310907*l**2 + 90*l.\nAnswer: 2*(l - 2)*(l + 3)*(l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2049394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -6*k, 4*k = -4*u - 14 - 30 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8502258 and 4152?\nAnswer: 34009032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 746, -3, 20 in descending order.\nAnswer: 746, 20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14.1 * 1.4\nAnswer: -19.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*s - 229*s + 459*s - 3*s**2 - s**2 + 4*s**3 in the form i*s + f + k*s**3 + n*s**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-64)\/48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((((u**(1\/3)*u)\/u)\/u)\/u)\/u))\/(u**(-2)\/u))**(1\/6) assuming u is positive.\nAnswer: u**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20469465 divided by -6823155\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 677419281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, z: 8, w: 5}. Give prob of picking 3 w.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a - 21*a = -60*a - 168 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 + 85*u**3 - 5705*u**2 + 26315*u - 20700 = 0.\nAnswer: -45, 1, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7068.9993599 - -7069. What is f rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1629)\/(-724))\/((-30)\/12*3) - 78\/140\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 - 8 + 14*a**3.\nAnswer: 14*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1742, 2\/13, 2, 0.049, -0.4 in decreasing order.\nAnswer: 1742, 2, 2\/13, 0.049, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 5*h**2 + 2. Let n be d(5). Suppose 2*f - 84 = 2*r, -4*r = -n*r + 2. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86977.\nAnswer: 11, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12 + 6)*(-4)\/(-5) and -53\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 345 = -0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:52 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 107 - 8. What is the remainder when 120 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*m*x*y + i*m*x - 226*i*x*y**2 + i*x*y + 65944*m*x*y**2 + 119*m*x - 2*x*y + 5*y + 502 wrt y.\nAnswer: -452*i*x + 131888*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 49 + 43 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -65. Let l(h) = -11*h + 0 + 4 + c*h. Suppose -g + 1 - 6 = 0. Calculate l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 3*o**2 - 2*o + 3. Let k be p(-3). Let g be (18\/k)\/(2\/(-20)). What is the first derivative of g + 3 + 1 + 4*z - 2 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-108)\/72*(40\/(-6) - 0). Let l(c) = 7*c + m*c + c**3 - 19*c + 4*c + 4*c**2. Give l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 74\/(-120) + 4 + (-248)\/60. Let h = -7\/47 + 420\/611. Let o = h - 37\/117. Which is the nearest to -0.1? (a) o (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:38 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (2 - (-7 + 2)). Is 20\/7 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 + -200.94. Let i be 4 + (1\/(-2))\/((-30)\/(-220)). What is the nearest to -1 in -3, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (213\/(-6))\/((-3)\/(-6)). Let z = -69 - k. Solve 0 = z*j - 2 - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8059488 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4)*(-h**2 + 2*h**2 + h**2)*(-2*h + 5*h + h).\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -9.7. Let c = y + -14. Let w = c + 5.2. Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 911, 3345, 8083, 15893, 27543?\nAnswer: 43801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-2 + -3 - (-2 + sqrt(272))*-6)**2 + (sqrt(272)*-1 + 4 - ((sqrt(272) + 1)**2 + sqrt(272) - sqrt(272))*1) + -3.\nAnswer: -492*sqrt(17) + 4305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828554 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppppnnppnp.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 16 = -4*g, 39*h - 41*h = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-190)\/(-10) - 9 - 7. Solve 108 = r + 4*c + 99, -l*r + 2*c = -13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 111.3. Let v = -11 + y. Sort 1, v, 5.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2506500 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -10) + -28 - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = 2*u. Let x be (-3)\/(-5 - (3 - 39\/6)). Solve 8 = x*v + z, 2*v - u*z - 7 = 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 27. Let l = 4.5 - 0.5. Let j = 3.8 - l. What is the nearest to b in 1\/2, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7.3. Let g(x) = x**3 - 1 - 6*x**2 + 2*x + 4*x - x. Let b be g(5). What is the nearest to -2\/5 in b, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 485113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6*(-6)\/9)\/2. Suppose 0 = 3*f, 3*z = 5*z + 4*f - r. Let l = -0.2 - -0.3. Which is the second biggest value? (a) l (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404922 and 3472?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 15*n**5 - 252*n - 18558*n**2 + 60 + 18831*n**2 - 15*n**3 + 0*n**5 - 81*n**4 = 0.\nAnswer: -2, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -45*d + 82. Let t(j) be the first derivative of -d*j**2 + 0*j - 5\/3*j**3 + 6. What is the second derivative of t(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -2322 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/58*20\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8.6269241 + -65\nAnswer: -73.6269241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1187*x + 14. Let w(d) = 2371*d + 35. Let m(s) = 10*r(s) - 4*w(s). Let g(o) = -o**2. Give m(g(u)).\nAnswer: -2386*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/7)*g**(-2\/13))\/(((g*g**(2\/19))\/g)\/g*g\/g**10) assuming g is positive.\nAnswer: g**(17830\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6848444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 8, 1 in descending order.\nAnswer: 8, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 8*y - 5*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 19 = -3*r, -5*r + 31 = 137*y - 134*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 549857352?\nAnswer: 549857352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 20*y - 376. Let c be p(19). Solve c*r + 11 = 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 25*p**2 - 75*p - 10. Let g be s(22). Is g less than or equal to -207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 14. Let r be s(9). Is 23 a factor of 68 + 1\/5*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.363 - 43.76. Let j = 18.3 + i. Round j to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.17 from 4.9.\nAnswer: 5.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1131 = n + 290, 1423 = 4*f - 3*n. What is the remainder when f is divided by 85?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328*a = -3*j + 1326*a + 11, -4*a - 28 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(2820\/(-376)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 122, 3\/8, -0.3 in decreasing order.\nAnswer: 122, 43, 3\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1912564 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - -2 - 14 - -6) + -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 10, 24, 44?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 7) to base 4.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53\/2 + -27. Let w = 0.2 + 3.8. Let u = -81.62 + 81.42. Which is the closest to p? (a) u (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 17183 + 10\/(-50)*50 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(-4 + (-35)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552526131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 6. Let s be j(3). Factor -4 - 8 + s*f**2 - 12*f - 6*f**2 + 3.\nAnswer: -3*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34898*q**4 - 529*q - 48 wrt q?\nAnswer: 418776*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -230, -444, -696, -992, -1338, -1740?\n\"Answer: -p**3 - 13*p**2 - 168*p - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqqbbqc. What is prob of sequence bb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30e859 (base 16) to base 8.\nAnswer: 14164131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 8:31 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s**13)**(-41) assuming s is positive.\nAnswer: s**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-17 - -51) + -38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*p + 12*p + 270 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -523*p**3 - 12 + 10*p + 559*p**3 + 14 - 8*p**2. Let m(a) = -a**3 - a. Let c(d) = 2*l(d) + 20*m(d). Find the third derivative of c(r) wrt r.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 34*j + 28. Let g(u) = -u**2 + 12*u - 10. Let x(t) = -17*g(t) - 6*n(t). Let w(k) = -2 + 22*k**2 - k - 21*k**2 + 2*k. Give 2*w(l) + 3*x(l).\nAnswer: -l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -7*f - 10. Suppose z = 11 - f. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -28*k + 247. Let r be j(3). Suppose -3*p = 133 + 113. Let n = r + p. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71295.\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46099121*p + 23962002 wrt p.\nAnswer: 46099121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1955 + 3856. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -130bd7 + 1b4?\nAnswer: -130a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 - 5*a + 156. Determine j(7).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 17 = -4. Let c(x) = -8*x**2 + x - 2. Let j(i) = 15*i**2 - 2*i + 3. Determine h*c(t) - 4*j(t).\nAnswer: -4*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1187, 1049, 3293, 5545, 7805?\nAnswer: 10073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -263, 4.8, 0.06, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12649, 50588, 113805, 202306, 316097?\n\"Answer: s**3 + 12633*s**2 + 33*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*31734.1.\nAnswer: 8885.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 19 - (10 - 37).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 240764440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-6)\/9). Let y = 3008\/5 + -568502\/945. Does y = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176532205?\nAnswer: 5, 17, 49135673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 17*m**2 + 16*m + 4. Let d be l(16). Factor 95*n**3 + 35*n**d + 69*n - 7*n**5 + 5*n**5 + 7*n**5 + 20 + 11*n + 125*n**2.\nAnswer: 5*(n + 1)**3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6183, 23568, 52147, 91920, 142887, 205048?\nAnswer: 278403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/(-10) - (-189)\/45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a + 59 - 5. Put a, 2, -1, 7 in descending order.\nAnswer: 7, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313\/209 + 1\/418. What is the nearest to 0.1 in 12, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 104845508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 2, n: 2, o: 6, j: 2}. What is prob of sequence vvo?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2826378*-6\nAnswer: 16958268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let i(w) = 4*w**2 - 2*w - 34. Let a(f) = 6*d(f) - i(f). Suppose -3*y = -9, 0 = 2*r + 5*y - 9*y + 12. Is 17 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45051 - 45049. Let -2\/7*u**r - 8\/7 - 10\/7*u = 0. Calculate u.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(36\/157) + (-1313)\/(-202)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let p = 2.1 + u. Is p > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/79940 and -103\/4774.\nAnswer: 27259540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*y + 867*y = 1758*y + 650 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (38 + -63 - -11) + (3 - -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 144, 546, 1222, 2178, 3420, 4954?\n\"Answer: y**3 + 131*y**2 + 2*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * -838426.\nAnswer: 96418990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.88 - -473.48. What is l rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4105 is divided by 93.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 5*t = 111, 4*t = -2*m + 166. Calculate the remainder when m is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c6 (base 14) in base 9?\nAnswer: -2107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + (-177)\/(-5))\/(6\/(-110)) + 17.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(147) + 2)*5 + 0 + -2 + 4.\nAnswer: 16 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -8 + -6 - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(121) + sqrt(121)*-4) - -2*sqrt(121)*-5)\/((sqrt(88) + (sqrt(88)*-1*-4 - sqrt(88)))\/sqrt(8)*2))**2.\nAnswer: 6875\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:40 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 3*o - 4*o, 10 = -5*o - 5*r. Let l(i) be the second derivative of -7*i**3\/6 - i**2 - 3*i. Is l(o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -2\/21*v**3 - 3 - 32\/7*v + 8\/7*v**2. Factor y(n).\nAnswer: -2*(n - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 1 + 2 - 5*d**2)*(-2*d**2 + d - d).\nAnswer: 4*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2, 5*o - o = -2*h + 12. Is 1030\/o - 2\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39a8 + -124?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tia when three letters picked without replacement from uiauttiiauttttttuii?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 286*x + 852. Let q be n(-3). Sort q, 47, 9, -3, -5 in descending order.\nAnswer: 47, 9, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 49 + (1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, v: 2}. Give prob of sequence ii.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, a: 15}. Give prob of picking 3 h and 1 a.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**6\/15 + z**4\/4 + 10*z. Find the third derivative of o(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -3. Let h = -2.053 + 2.253. Sort t, h, -4 in decreasing order.\nAnswer: t, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.87909 rounded to 1 decimal place?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - a + 1. Let z be u(-2). What is the nearest to -1\/2 in 3, 1, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1690296 + 6b?\nAnswer: -1690228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)*r)**(-2\/11)\/(((r\/(r\/(r*r*(r*r\/(r**0*r))\/r)))\/r)\/r)**(13\/7))**(5\/6) assuming r is positive.\nAnswer: r**(-10\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.5, -3, 0.66, 415, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9227 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*h = 13, 0*h = -5*h + 5. Let c(j) = j**3 + 4*j**2 + 2*j - 4. Let l be c(z). Put l, 0, 3 in ascending order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/17, 8.9, 4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/2)\/(r*r\/(r*r\/(r*(r*r**(-2\/5))\/r)))*r**(-4)*(r**(-2)*r)\/r assuming r is positive.\nAnswer: r**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -2505034042?\nAnswer: 2505034104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.5 (c) 3468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -3\/4 (c) -3 (d) 2.9 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26665 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyyysssssss. Give prob of sequence yyss.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4\/7 + 316*q**3\/7 + 16860*q**2\/7 - 34652*q\/7 + 17480\/7 = 0.\nAnswer: -38, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14946593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*l**3 + 1066627*g**2 - 481710*g*l**3 - 4*l**2 wrt l?\nAnswer: -12*g**2 - 2890260*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/((-2)\/240*-3). Let o = g + 1097. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) 215 (c) -2\/15 (d) -2\/187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2000\/3 - 45940\/69. Let i = u + -134\/207. Let q = 802\/7 + -115. What is the third smallest value in i, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005251372 rounded to 6 dps?\nAnswer: -0.000525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 475*y - 2738 + 838 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from unnuuununuuuuunuun.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/720 - m**5\/60 - m**4\/8 + 3*m**2. Let k(t) be the second derivative of y(t). Calculate k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + j**2 - 5*j**2 + 0 + 0 - 2*j**2 + (-1 + 1 + 2*j)*(-2*j - j + 4*j) + 0 - j**2 + 0 - 2*j + 100*j**2 + 6846 - 6846.\nAnswer: 97*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 12. Let o be d(-9). Does 19 divide o*2*(-3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -473*u**2 + 310*u**2 - 170*u**2 - 385*u**2 - u in the form n*u + w + v*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22570 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3 and -157\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14304 - -8205?\nAnswer: -5088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 + b + 3. Let l be y(0). Let j = 431 + -151. Suppose 157 = l*z - 4*t, -5*z - 2*t + 5*t = -j. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/270*6\/4. Let v(c) be the second derivative of o*c**6 + 0*c**2 + 1\/63*c**7 + 0 + 1\/9*c**3 + 2\/9*c**4 + 1\/5*c**5 - c. What is a in v(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/12*6*1. Suppose -4*d - 16 = -4, -m + 12 = -j*d. Let s = m + 4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1258\/9 - 140. Let c be (-10 - -72)*1\/2. Let w = c - 29. Put x, w, 3 in decreasing order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2833 + 49512*t**2 - 37411*t**2 + 47121*t**2 + 2833)*(0*t - t + 0*t) to o + y*t + i*t**3 + u*t**2 and give i.\nAnswer: -59222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let u = -41307\/19 - -2174. Which is the third biggest value? (a) u (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a factor of 2157038445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 7.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1131 and 15483?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 3*y**4 + 0*y**3 + (-5 + 2 + 5)*(111*y**2 - 21*y**2 + 418*y**2)*((y + y + 0*y)*(4*y - 3*y + 0*y) + 2*y**2 + 0*y + 0*y).\nAnswer: 4067*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000721605848 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*y = -8*z + 288, 0 = 2*z + 4*y - 156. Does 37 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24523 times 0.06\nAnswer: 1471.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/5 (c) 0.3 (d) -4 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.11 + 19.20672. Round h to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/(-42))\/((-1274)\/(-31213))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 255 = 267 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 947\/100450 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 5*p. Suppose g - 15 = -p*g. Suppose -g*r = -4*r + 30. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -11232?\nAnswer: 11225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 4214.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 13*q + 354. What is the remainder when 5038 is divided by k(26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htcttcmchttttzttozt. Give prob of sequence tt.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 3*b + 7. Let f be k(-3). Calculate the common denominator of (4268\/(-32))\/f + 0\/6 and 17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -0.5, -2\/23, -1\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/5144 and 25\/16?\nAnswer: 10288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - z + 121816 - 121355)*((-4 + 4 + 1)*(-3*z + 3*z + 3*z) - 2*z + 0*z + 4*z) to the form c*z**2 + l*z + j and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 17895?\nAnswer: 232635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 - 3. Let g(j) = j**3 + 20*j**2 + 12*j + 13. Let q(y) = 3*y**3 + 57*y**2 + 34*y + 38. Let r(s) = 17*g(s) - 6*q(s). Give 7*l(u) - 3*r(u).\nAnswer: -4*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 160200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657155249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3208, -6419, -9626, -12829, -16028, -19223, -22414?\n\"Answer: 2*b**2 - 3217*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4, -2*k + 5 = 3*i + 2. Suppose k*d = -27 + 417. Calculate the highest common divisor of 52 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((((j*j\/((j\/(j\/j**(-1\/14)))\/j))\/j)\/j)\/j))\/j*j\/(j\/(j\/(j\/j**(-3\/7))*j)*j)*j*(j*j**(5\/3)\/j)\/j**(-3\/2) assuming j is positive.\nAnswer: j**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 17. Let n be x(6). Suppose 0 = -5*j + 2*o - 1688, j - 671 = 3*j - n*o. Let u = 589 + j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, 183, 2718 in increasing order.\nAnswer: -5, -0.5, 183, 2718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 3*y + 26, -9*g - 41665*y + 41663*y = 48 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2406 - -4463. What are the prime factors of y?\nAnswer: 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 2*x**2 - 3*x + 3. Suppose 0 = 3*t - 1 - 8. Suppose -3 = t*k + 6. Is 16 a factor of s(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 2*m**4 + 2*m**3\/3 - m**2 + m - 1. Let s(h) = 20*h + 482. Let i be s(-24). Does 9 divide q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (-318)\/36 + 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*o + 4*n, 0 = 14*o - 12*o - 5*n - 7. Suppose -3 = -b, 11*r - 31 = o*r - 2*b. Factor -2\/5*v**r + 7\/5*v**4 - 9\/5*v**3 - 1\/5*v + 0 + v**2.\nAnswer: -v*(v - 1)**3*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + o**2 - 3*o - 3. Let n = -166 + 165. Let r be v(n). Let a(t) = 4*t - 1. What is a(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -92*l**2. Let g(a) = -204*a**2. Give i(g(r)).\nAnswer: -3828672*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 661336790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1334, -74, -1 in increasing order.\nAnswer: -74, -4, -1, 3, 1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27799, 27809, 27825, 27847?\n\"Answer: 3*v**2 + v + 27795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4125133 - 2?\nAnswer: -4125135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 2097616.\nAnswer: 10488080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -506, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 8*v**3 + 2*v + 5*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*o**3 + 41 - o**2 + 33 - o - 74 as b*o**2 + u*o**3 + i + a*o and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/13 and ((-1176)\/249228)\/(-1*(-3)\/(-18)).\nAnswer: 12857","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 743*g - 4. Let w(b) = 5943*b - 33. Give 33*m(n) - 4*w(n).\nAnswer: 747*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (7 + (-21)\/28*4)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1137012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 10 + (27 + -3 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 - 3)*(306 - 495 - 276)*(-x - x + x)*(3*x**3 - x**3 + 0*x**3) to the form q*x + m*x**2 + s*x**4 + f + y*x**3 and give s.\nAnswer: -9300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2187 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -7. Is a + (2 - 4) + 0 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.018 - -3.018. Let x = -0.24 - -0.04. What is the second biggest value in x, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67986.597 hours in weeks?\nAnswer: 404.682125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 19*a - 117 - a**2 - 127 + 3*a**2 + 253. Is 23 a factor of m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35670000 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1039359942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -965.4 + 814. Let y = -4.8 + 143.8. Let t = y + m. Round t to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7581 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f*f\/f**(-6)*f)*f*f**2*f*(f\/(f*(f**(-5\/3)*f)\/f*f))\/f*f**(5\/4)*f assuming f is positive.\nAnswer: f**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 = -29*a - 2*a. Let i = a + -34. Put 8, i, 4 in descending order.\nAnswer: 8, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2, 0.1, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23606808?\nAnswer: 2, 3, 983617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 5*n - 71. Let o(h) = 4*h**2 - 4*h + 75. Let i(d) = 5*f(d) + 4*o(d). Give i(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 301 = -2*g + 37, 0 = -3*g + 3*x - 426. Find the common denominator of 2\/(-13 - 9529\/(-715)) and 0 - g\/(-81)*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab - 1?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 104, -5, -8, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 113206?\nAnswer: 16980900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x - 3. Let v be (-6)\/(-6) + -2*4. Let d(j) = -22*j + 4. Let y(w) = v*b(w) - 5*d(w). Let h be y(-1). Is h <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43686, 89409, 135132, 180855, 226578, 272301?\n\"Answer: 45723*c - 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3 = 28. Suppose 0 = a*q + 3*h - 8*h - 1500, q + h - 304 = 0. List the prime factors of q.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39, 11, 2\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*y**2 + 0 - 2\/7*y - 2\/7*y**3.\nAnswer: -2*y*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-315)\/5 - (-5357 - -5398)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/1890 and 65\/63.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56982, 227938, 512866, 911766, 1424638, 2051482?\n\"Answer: 56986*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 2. Let a = n - 2. Let d(m) = m**2 + 8. What is the units digit of d(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2)\/(sqrt(216)\/sqrt(6)).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1ada4?\nAnswer: -1ada1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -115. Is -4\/49 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 132.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 12*o + 37 + 3 - 3 + o + (-2*o + 2 - 2)*(-3 - 2 + 4) + 4*o - 5*o - o)*(77 + o**3 - 77 + 2*o**2).\nAnswer: -11*o**4 - 22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3434.9 - 3435. Which is the second biggest value? (a) 5\/4 (b) -2 (c) 0.38 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20*r = -126. What is the third smallest value in 0, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -878, -879, -880, -881, -882?\n\"Answer: -r - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 + 0*p**3)*(-4 + 3 - 1)*(15 - 64 - 4).\nAnswer: 212*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5067, -20239, -45505, -80847, -126247?\n\"Answer: 3*n**3 - 5065*n**2 + 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 20*k**2 + 41*k + 108. Give j(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 18*o + 732. Let j be (-2)\/10 - o\/(-30). Suppose 224 + 2656 = j*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + (-1 + 15 - 13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -38.5.\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 2 (b) -13 (c) 1 (d) 0.0352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41 - -13 - (-13 + 61)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - s + 2*s**4 - 3*s**4 + 5*s to x*s**4 + w + y*s**2 + a*s**3 + b*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 7*c + 4. Let k be u(-7). Suppose 0 = -k*z + 47 + 13. Solve -z = -t - 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 3, w: 1}. What is prob of picking 1 v and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -95e8c + 13?\nAnswer: -95e79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424942 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (6 - (-8 + 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h + 2752 = 63*h + 54*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o = 0. Suppose 2 = h - o. Solve h*q - 3 - 1 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6 - 16 = -3*p, -47 = 3*v - 8*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -1\/8 (b) 0.05 (c) -9.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 + 2*c**2)*(216 - c**2 + 28*c - 219 + 5*c**2).\nAnswer: 24*c**4 + 168*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (75\/(-21))\/(7\/((-84)\/18)). Which is smaller: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -15*q. Let d(p) = 144288*p**2. Give d(c(z)).\nAnswer: 32464800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -553036 (base 9) to base 15\nAnswer: -67cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5593425 weeks to minutes.\nAnswer: 5638.1724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (4*sqrt(80)*1)**2)*3 + -4 - ((-3*sqrt(80)*-2)**2 + sqrt(80) + (sqrt(80)*-1)**2 + -5))*-3.\nAnswer: -24*sqrt(5) + 20397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 877 = 4*p + 211, -2*p + 366 = 4*j. Suppose 2*s = -0*s + 570. Calculate the highest common factor of s and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44533 = -6483*a + 227*a + 213445 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b - 2*s, 3*b = s - 0 + 2. Are b and -3\/368 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210079 > 9210079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2378*g**2. Let n(s) = -31*s. Let w(x) = -107*x. Let l(p) = 7*n(p) - 2*w(p). What is b(l(y))?\nAnswer: -21402*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 - 8*o - 8. Let k = -13 - -6. Let g(m) = -12*m**2 + 15*m + 15. Let p(t) = k*c(t) - 4*g(t). Let s be 2\/(-2) - 4\/2. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 9, -0.5, -540?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 163*k**3 + 59*k**2 - 7*k + 7. Let y(z) = -570*z**3 - 207*z**2 + 24*z - 24. Determine -24*s(l) - 7*y(l).\nAnswer: 78*l**3 + 33*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3\/5)\/a)\/a**9)\/(a**(-2))**(2\/59))\/(((a\/a**1)\/a)**26)**(-33) assuming a is positive.\nAnswer: a**(-256217\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 992\/7, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**3 + 8*x**2 + 8*x + 11. Let j(v) = 4*v**3 - 3*v**2 - 3*v - 4. Let i(t) = t**2 + 8*t + 12. Let z be i(-5). Give z*q(n) - 8*j(n).\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 3, q: 4}. Give prob of sequence bqb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 11) + 11 - (9 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*m + 8, -3*j = -5*j + m + 4. Solve 5*y + f - 9 = 0, j*y + 2*f + 5 = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*m + 136 = -361*m. Suppose 2*k - 378 = -d, -k - 2*d + 175 = -5*d. What is the greatest common divisor of m and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 66*r + 3983 = 133. Calculate the remainder when 1142 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 73182795*i + 146365570 = 0 for i.\nAnswer: -14636557, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l - 5*d + 218, -d - 354 = -5*l. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.45 - 0.25. Let q = w - 4. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 - 1951 = 379*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537067754.\nAnswer: 2, 79, 571, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3 + 1515*w**2 + 5920*w - 17940 = 0.\nAnswer: -299, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*o + 2*u, 0*o = -4*o - 4*u + 16. Find the second derivative of o*i**2 + 5*i + 0*i**2 - 11*i**2 - 5*i**2 wrt i.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 139 - 25 = 0. Let l = c - -89. Let k(w) = w**2 - 9*w - 8. Give k(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a factor of 120098554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111501 is divided by 394?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 5) to base 9\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-53363)\/(-9) + 2\/(-9). Suppose 23*n = s - 35599. Round n to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 + 5*c - 135)*(3*c + 3*c - 5*c)*(c**3 - 61712 - 3*c**3 + 63054).\nAnswer: -10*c**5 + 6710*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 957499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387 and (0 - -473)*(-4 + -10)\/(-14)?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1275 * -0.08\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 + 8*z + 8. Let u be r(-5). Let x(m) = -15*m + 3. Is 12 a factor of x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2510 by -5.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 388 - 795.41\nAnswer: -407.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-40) + (-6)\/(-15). Let l = 1.064 + -0.064. Which is the second biggest value? (a) -2 (b) k (c) l (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 4 - (1 - 1). Let n(b) be the third derivative of -b**4\/24 + 3*b**3\/2 - b**2. What is the remainder when 26 is divided by n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.47? (a) 5 (b) -129 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 460909.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-27)\/(-3)))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 53 = 29 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 9)*(0 - 0 - -1). Suppose 24*q - 21*q = -72. What is the smallest value in f, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -97. Solve 19 = b*f + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2349\/45 - 66) + (-36)\/(-2).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*m**2 + 3 + 62*m**2 + 2*m**3 + 46*m**2 - 3*m**3 - 4 to the form k*m + z*m**3 + q + w*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155457678 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3498, -5 in increasing order.\nAnswer: -3498, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 375859811 a multiple of 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528267 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 1 - 1)*(7*x + 4*x - 7*x)*(20*x + 21*x - 40*x - 141).\nAnswer: 8*x**3 - 1128*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 13 = 2*p, 17 = n + 107*p - 110*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbf when four letters picked without replacement from kqqfqqqbkefeb?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 444023023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.9, 1, -1\/6, -2\/357, -1 in decreasing order.\nAnswer: 1, 0.9, 2\/19, -2\/357, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9034000 to the nearest 100000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246488 and 89632.\nAnswer: 985952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-8)*(26 - -2)*2. Let z(a) = a**2 - 4*a + 14. What is z(l)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*j - 3 = -0*j - v, 4*j - 3*v = -5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 6*u + 4. Does 24 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*g**5*i**3 - g**3*i**3 + 156*g**2*i**2 + 2*g*i**3 wrt g?\nAnswer: 1320*g**2*i**3 - 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*w**3 + 7*w**2 + 2*w + 2?\nAnswer: 60*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180117859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 467679.114 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1, -3.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/7 - 5526*d**3\/7 + 1465776*d**2 - 935573814*d + 39203976105.\nAnswer: (d - 1827)**3*(d - 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49892062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - r + 57. Let f be d(0). Suppose m = -q - f, 0 - 226 = 4*m + 5*q. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (1 - (0 + -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 160\/(-3040) + 689\/95. Let -z*o**2 + 2\/15*o**4 + 32\/15*o**3 + 112\/15*o - 38\/15 = 0. Calculate o.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -322*s - 112 - 4627*s**2 + 4519*s**2 + 2*s**3 + 100*s = 0.\nAnswer: -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/3 (c) 3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:21 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n - 1. Let z be m(-1). Suppose -5*c = -5*o, -o + 2*c = z + 2. What is the second derivative of -j - j**3 + 0*j + 0*j**o + 3*j wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 4*q**3 + 272*q**2 - 960*q.\nAnswer: -q*(q - 12)*(q - 4)*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -24, 27*t - 30*t = 5*z - 550. Solve -t*p + 184*p = -112 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.9 from 1373.\nAnswer: 1370.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 18*h**3 + 69*h**3.\nAnswer: 87*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33101 (base 4) to base 15.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4 - 72*x**3 = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/(-20))\/((315\/15)\/168)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -718*m - 2246. What is n(-3)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:44 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 20*k**3 - 12*k**2 - 20*k + 16.\nAnswer: -4*(k - 4)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545106744?\nAnswer: 2, 3, 7, 13, 271, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 408555418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 6*h + 11. Let b be f(-2). Put b, 2, 6 in descending order.\nAnswer: 6, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (-6 - (0 + -12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 2*a + 0*a + (-6 + 1 + 1)*(1 - 1 - 3)*(0 - 1 + 3)*(-4 + 1 + 0)*(-2 + 15 - 8)*(-4*a + 0*a + 3*a) in the form f + p*a and give p.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36201371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 16 + g**2 + 0*g**2 - 11 - 2*g. Suppose 4*j = -4, 2*i - 15 = 3*j - 2. Does 10 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*v - 8 + 2 = 0, -b = 4*v + 6. Suppose 3*i = b + 22. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8632?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -646? (a) 2 (b) 1 (c) -32.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 1702*n - 1703*n - 6*l, 10 = 2*n + 9*l - 8*l for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:06 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 0. Let x(z) = 2*z. Let c be x(-1). Let r = c + 3. Solve b = -y*b - r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/11*50\/(-14)*(-1576)\/(-19700)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*((sqrt(1617) - sqrt(1617)*2) + sqrt(1617))*1)\/(sqrt(11)*-2*-1 + sqrt(121)\/sqrt(275)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*a - u, 5*u - 2 = 3. Solve -m + 5*y - a = 0, 3*m + y + y = 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j - 3*j + 4*j)*(j**2 + 1 - 1) - 436 + 436 - 163*j**3)*(0 + 0 + j).\nAnswer: -165*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 - 112*w**2 + 1450*w + 3364 = 0.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109763 + 165093. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 13*g - 15. Let c be r(11). Let v(s) = s**2 - 3*s + 3. Let z(j) = -3*j**2 + 5*j - 5. Let i(w) = c*v(w) + 4*z(w). What is i(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 46, 107, 224, 415, 698, 1091?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1846592 and 73139?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -6*a - 26, 4*j + 133 - 152 = -a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 7*l - 5. Let f(o) = -2*o**2 + 6*o + 4. Let h(u) = 2*f(u) + 3*s(u). Let z = -43 + 29. Let a = z - -8. What is h(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**38*p)\/p)**(-42) assuming p is positive.\nAnswer: p**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*k + 458*k - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - 3 + 2*z**4 + 34*z**3 - 36*z**3 in the form m*z**3 + u + g*z + x*z**2 + q*z**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 202, 703, 1674, 3271, 5650?\nAnswer: 8967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -220, -547, -1354, -2881, -5368, -9055?\n\"Answer: -40*m**3 - 47*m - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1077 and -107\/7180?\nAnswer: 21540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -0 + 12. Suppose 35 = 2*l + m + 4*m, 5*l - 10 = 3*m. Suppose -4*i - l*u + 30 = i, -4 = v*u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/9625932 and -43\/1604322.\nAnswer: 9625932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 2*f**5\/45 + f**4\/9 - 2*f**3\/27 - 2*f**2\/9 + 2. Determine w so that n(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1052 - -22114\/21. What is the common denominator of x and 40\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-16)\/m*m*(m*m**30)\/m)**(-16))**44 assuming m is positive.\nAnswer: m**(-9856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/210 + c**4\/28 + 2*c**3\/21 - 15*c**2\/2 - 8*c. Let m(r) be the first derivative of t(r). Factor m(i).\nAnswer: 2*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6273490 is divided by 31684?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 1. Let r = -14 - -14. Suppose -3*j + 0*v = 4*v + 10, 4*j - v + 7 = r. Let n(z) = -3*z**2 + 5*z - 5. Calculate j*n(w) - 10*l(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57066 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570916734?\nAnswer: 2, 113, 6950959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v**2 + 0*v)*(-2*v**3 + 6*v**3 - 2*v**3) - v**3 + 45861*v - 45861*v - 21*v**5.\nAnswer: -25*v**5 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 + 214. Suppose 5*w - 5*m + 2*m - x = 0, -3*m - 8 = -w. Solve w*p = 3*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 8, z: 5, n: 1, c: 2}. Give prob of picking 2 z.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298054800 to the power of 1\/2, to the nearest integer?\nAnswer: 17264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10990, -22713, -34430, -46141?\n\"Answer: 3*r**2 - 11732*r + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2677 or -29894?\nAnswer: -29894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 859968 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p - 2*n - 8, -3*p - 2*n + 23 = 0. Let u be (-3)\/(-2)*(-3)\/((-36)\/544). Let v = -58 + u. Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6966*n + 8 - 13907*n + 6962*n to b*n + q and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.56804 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 3, 1, -4 in decreasing order.\nAnswer: 3, 1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -11. Let d = 0.0493858 + -2.0493858. Sort -0.01, q, -0.2, d.\nAnswer: q, d, -0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696, 482, 268, 54, -160, -374?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 39. Let s(i) = -10*i**2 - 3 + 6*i**2 + 5*i**2. Determine s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 36102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11\/5 (b) -0.2 (c) -22\/5 (d) -7 (e) 4 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 10*r + 11. Let o be a(-11). Suppose 3*t - 5*t + 6 = o. Suppose -t*s + 7 = -8. Solve -l = -s*i + 6, -2 = -l - l + 3*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7318 + 7304. Let y = -7 + 12. Which is the nearest to 0.1? (a) -6 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 399?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6871, -6952, -7175, -7612, -8335, -9416, -10927?\nAnswer: -12940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.0128756.\nAnswer: -0.0386268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 5*b**2 + 6*b - 8. What is o(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**20)))\/l)\/((l\/(l*l**(4\/7)\/l))\/l)*(l\/l**39)**(-6\/5) assuming l is positive.\nAnswer: l**(916\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 + 20965*h**2 + 21071120*h + 21050160 = 0. What is h?\nAnswer: -2524, -1668, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(1\/12). Let a be p*(-3 + (-10)\/(-3)). Is (-4)\/(16\/118)*a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 + j + 1. Is u(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 1, 2 in increasing order.\nAnswer: -186, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 6*a**4 - 5*a**2 - 5*a**2 + a**2 + 57 + 4*a**2 + 7*a**2 to the form k*a**2 + x*a**3 + q*a + z*a**4 + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j*j\/(j\/(j\/(j*j**(-1))*j)))\/j)**(2\/133)*(j*(j\/j**0)\/j*j)**(-37))\/(j**(-4)\/((j\/(j**(2\/5)\/j))\/j)*(j**1)**34) assuming j is positive.\nAnswer: j**(-68721\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*k**3*r + 22304*k**3 + 117073*r wrt k?\nAnswer: -39*k**2*r + 66912*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 6 + (-5 - (17 - 32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1933 = 103*h - 1314 - 93 - 1604 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0722 + 17.\nAnswer: 16.9278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2334, -4387, -6008, -7203, -7978, -8339, -8292?\nAnswer: -7843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2. Let r be n(0). Suppose -l - w + 7 = 0, 5*l + 4*w = 4*l + 22. Find the first derivative of 1 + r + q**l - 4 wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033877273 rounded to 5 decimal places?\nAnswer: 0.03388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.5. What is the nearest to f in -5\/2, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6101\/588 - 47\/49. What is the common denominator of q and -101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 - 0.03. Which is the closest to 0.1? (a) k (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1063 - 1030. What is the remainder when 124 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 3*h + 5. Let d = 6 - 10. Let v be g(d). Suppose -11 - v = -2*p. What is the remainder when 21 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 4506 = -94*h - 140 - 3004 for h.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-3))\/(6\/4). Suppose 858 + 130 = s*z. Suppose 5*n - 213 = z. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(4 + 27\/(-6)). Let q = h + -11. Let l = 4 - q. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/(-63)*(270\/252)\/(-1*1\/(-12))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/5 (b) -3\/7 (c) 186\/7 (d) 231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 66. Let i be u(20). Solve -3*v = -i*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.95 + 0.95. Let i = -1.6 + 2. What is the closest to 0.1 in -0.06, i, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136924891 divided by -149?\nAnswer: 918959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + t**2 + t. Suppose -58*c = -56*c. Let y(f) = 5*f**2 + 4*f + 144 + 3*f + c*f - 14*f**3 - 144. What is -5*w(r) + y(r)?\nAnswer: -9*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 + 3*j. Let h(f) = 0 + f**3 + 4*f + 4 - 2*f**2 - 4. Let g(u) = 4*d(u) - 3*h(u). What is the third derivative of g(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*c + 185 = 0, -88 = -3*h + 2*c + 94. Calculate the highest common factor of h and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (30 - 30 - 88)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2 = d - 0*n, -3*d - 4*n = 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, n: 4, o: 2, g: 4, s: 2}. Give prob of picking 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, m: 10, c: 4, j: 1}. What is prob of picking 1 m and 1 c?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4147 - 0.4377. Let t = -1.288 - -3.311. Let x = f + t. Which is bigger: -1.9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/7 + 82952*l**4\/7 - 7196640*l**3\/7 + 208507448*l**2\/7 - 2014628956*l\/7.\nAnswer: -4*l*(l - 20651)*(l - 29)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**6\/360 - c**5\/30 - c**4\/24 + 2*c**3\/3 + 1. Let a(x) be the third derivative of y(x). Calculate a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 12*r + 269. Let z(b) = 3*b. Give s(h) + 4*z(h).\nAnswer: -h**2 + 269","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1416\/3 + (-3 - -3). Suppose r - f + 95 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = r - 4 - 11, 5*m + 15 = -2*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -13*c + 2*t - 75348, 5*t + 75376 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - a - 3, 9 = 5*a + 24 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/45 - 7*m**3\/6 + 3*m**2. Let c(v) be the first derivative of o(v). Let q(p) = -3*p**2. Determine q(c(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -18*c + 39*c - 61*c + 38*c. Let d(s) = -203*s**2 + 2. Determine r(d(y)).\nAnswer: 406*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, o: 2, h: 1, q: 4, a: 1}. Give prob of picking 1 a and 1 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 5*p - 22 = 0, 4*y - 2*p + 12 = 0. Let q = -17 + 27. Let n be (48\/q)\/(y\/(-5)). Calculate the greatest common factor of 48 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -7*b - 5*z - 16, -7*z + 54 = -4*b + 19*z for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 9*i - 45. Let m be (-1 + 3)*i\/2. Suppose m*r - 2*c - 13 = c, r + c = 9. Solve -4*a + 9 = -d - 2*d, r*a = -d - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 0*o)*(2*o**2 - 1 + 1) - 3*o**3 + 9*o**3 - 38*o**3.\nAnswer: -34*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 79, -2\/39, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 - 43972*k**3 - 308084*k**2 + 923892*k + 1188000 = 0?\nAnswer: -9, -1, 3, 11000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - p = -23, 5*f = p + 30 - 5. Solve -18*b + f = -19*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 342?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:29 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -59685 <= -59682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - 35.8. Let d = 251.8 + x. Is -2\/5 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = u + 2*r, 24*r - 1176 = -4*u + 28*r. Let p = -293 + u. Solve -3*z + 1 = x, p = 5*x - 2*z - 5 - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*y = -2*x + 4*y + 43, 0 = 2*x + 3*y - 133 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -31*j**2 + 11. Let q(n) = -3 - 4 + 7 - 2 + 6*n**2. Determine -2*h(d) - 11*q(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 29 = -3*m, 15*m + 30*r - 32*r - 64 = -r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**2 - 1\/12*w**4 + 4*w + 0 + 0*w**3. Let k(f) = -2*f**2 + 3. Give c(k(z)).\nAnswer: -4*z**4 + 12*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435947, 1743846, 3923701, 6975512?\nAnswer: 10899279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/3 - 502*a**4\/3 - 76794*a**3 - 5734566*a**2 - 5657940*a = 0.\nAnswer: -129, -1, 0, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, 11, -12, 0, 1 in decreasing order.\nAnswer: 11, 1, 0, -12, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-20)*10\/(-32)*864\/(-168) + -3?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/31)*b**(-3\/7))\/((b*b**8)\/b**(2\/25)) assuming b is positive.\nAnswer: b**(-50366\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82541*o**4*w**2 + o**3*w**3 - 2*o*w**3 - 271*o*w**2 + 8*o*w + 17*o wrt o.\nAnswer: -990492*o**2*w**2 + 6*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) 229 (c) -0.05 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -2*l + 72. Calculate the least common multiple of l*((-8)\/(-12))\/1 and 19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.309 - 6.339293. What is j rounded to 4 dps?\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3189290 less than or equal to -3189273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**7\/7 + 3*c**5\/10 + 135*c**4\/4 - 154*c. What is the third derivative of g(b) wrt b?\nAnswer: -360*b**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2 - -4) + (1 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166255\/336 + -3481\/7. Suppose 30*h + 60 = 34*h. What is the common denominator of w and h\/6*(-267)\/(-120)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -3?\nAnswer: 208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9 and 26\/459.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 2*q + 2*q + 29157.\nAnswer: 3*q + 29157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.0374.\nAnswer: -0.01496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 19. What is the greatest common factor of 42 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04593 + 179.95407. Does t = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -125, -2\/7, -4, 0.2.\nAnswer: -125, -4, -0.3, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3534 and 2604.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 15. Let a = 0 - f. Suppose -4*u = -5*b - 0*b + 240, a*u = 0. Calculate the greatest common factor of 72 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382991437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -60*t**2 - 34*t - 62. Let h(a) = 181*a**2 + 104*a + 186. Let q(d) = -2*h(d) - 7*m(d). Let k be q(-14). Round k to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, -0.79, 5, 7439\/3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*t - 731 + 2465 = 0, -5*t = -h + 598. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15)*(0 + 3). Let w be (-2)\/v*(1 + -4). Solve 5*f - 2 = 4*q, -f + 5*q = 5 + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5081.84*-54\nAnswer: 274419.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00276 to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 141\/(-799) - (-6003)\/(-663) - (-24)\/104. Let u(n) = -2*n + 2. Let j be u(4). Does q = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(72) + 3 + 0 - ((sqrt(72) - (-2 + sqrt(72) + -3)) + sqrt(72)))*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15005 - 15005 + 3*d + (-1 + 4 + 0)*(6*d - 19*d - 30*d) in the form k + f*d and give f.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2\/7 - 892*y\/7 + 64.\nAnswer: -4*(y + 112)*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540872 is divided by 46690?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - -7*341\/231. Let f(n) be the first derivative of -14\/3*n**2 + 2*n**3 - u*n**5 - 7\/6*n**6 - 8\/3*n - 19 + 59\/12*n**4. Suppose f(c) = 0. What is c?\nAnswer: -2, -2\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 78*i + 19. Let v be 288\/30 - 7 - 2\/(-5). What is the hundreds digit of f(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57338573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (19 + -7 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.327 - -0.227. Which is the nearest to t? (a) -3 (b) 3.33 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111490, -111541, -111592, -111643, -111694, -111745?\nAnswer: -111796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301297\/100 - 3013. Let o = d + 389\/6300. Let i = 17 + -18. Are o and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78787.\nAnswer: 78787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 16*f - 17. Let c(g) = -9*g - 53. Let h be c(-4). Let i be v(h). Solve 5*n - 25 = i, 0*n + 9 = 2*m + 3*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -12321\/2584?\nAnswer: -12321\/2584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**6\/8 + p**5\/6 - 5*p**4\/12 + 5*p**3\/3 + p**2 - 150*p. Let f(r) = -r**3 + r**2 - r + 1. Determine -3*b(z) + 30*f(z).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 23930*z + 47880.\nAnswer: -5*(z - 4788)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 11) in base 10?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*r**2 - 6*o**3*r - 2524*o**3 - 7*o**2*r**2 + 960*o**2*r + 3 wrt o?\nAnswer: -6*r**2 - 36*r - 15144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (2 - (-6)\/(-15))*210\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 - 4*w + 2. List the prime factors of k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 12. Suppose 2*b = 4*o - 4, 0 = -2*b + b - 4*o + c. Let s be 2*(5 - 4) - b. Solve 2*q + 1 - 9 = s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4798 + -4767. Suppose -5*x = -d + 31, -3*d + 41 = -2*d + 5*x. Suppose p*s = d*s - 50. Calculate the highest common factor of s and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.67 - 27.43. Let q = j + 36.1000163. Round q to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4746*d - 9643*d + d**2 + 4715*d.\nAnswer: d**2 - 182*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 0*n. Suppose n*u - 72 - 24 = 0. What is the greatest common factor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775307 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4768, 4753, 4734, 4711, 4684?\nAnswer: 4653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/75)\/((-4)\/50)*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {k: 1, c: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 45 = 3*t + 2*a, t = 5*a + 24. Calculate the smallest common multiple of t and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 4*m**2 + 3*m + 8. Let i be y(4). Suppose 0 = 5*s - i, -2*g - s + 2*s = -144. What is the remainder when g is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/4 + 33*f**4 + 783*f**3\/2 + 567*f**2 - 3969*f\/4 = 0. What is f?\nAnswer: -21, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 110.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 9, 24, -6 in ascending order.\nAnswer: -6, -5, 4, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 18. Let x(r) = -2*r - 9. Let q(j) = 6*b(j) - 11*x(j). Let g = 12 - 20. Let m be q(g). Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v + 5. Let z be w(-3). Let b = z + 25. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 16. Let p(l) = l**2 - 7*l + 14. Let q(i) = -8*p(i) - 7*x(i). Let r(z) = 18*z. Calculate q(r(m)).\nAnswer: -2592*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51081 + 1491 = -145*z. Calculate the lowest common multiple of 285 and z.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 41302\/1737 - 2\/(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 + 39*i - 333. Let a be q(9). What is the highest common divisor of 130 and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.37*-0.1\nAnswer: -2.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x**3 + 2*x)*(10 - x + 1 + 12).\nAnswer: -2*x**4 + 46*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62350202 is divided by 236.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 97433299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*3*(sqrt(8) + 1*sqrt(8)))**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/112740 and 119\/4944.\nAnswer: 46448880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 - -154130?\nAnswer: 154213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 4242*f**2 - 34080*f + 68256.\nAnswer: 3*(f - 4)**2*(f + 1422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -69295*-0.2\nAnswer: 13859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvvevvvve. Give prob of picking 2 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(95)\/sqrt(5) - (sqrt(19) + -3*sqrt(38)\/sqrt(2))).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*a)*(-7*a + 19*a - 2*a)*(-18 + 18 + 4*a**2) + (-3*a - a**3 + 3*a)*(-2*a + 0*a + 0*a) as k*a**3 + p*a**2 + f + d*a + j*a**4 and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 173.\nAnswer: 11\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 39*d**3 - 9.\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 197*i - 213*i. Calculate the remainder when 321 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 18*o**2 + 9*o + 64. Determine s(-6).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160 + 166. Calculate the smallest common multiple of g and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - b. Let m(y) = -423*y**2 + 5*y. Give 6*h(v) - m(v).\nAnswer: 453*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -21310?\nAnswer: -21423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60812335*q - 155472519.\nAnswer: 60812335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -1169640?\nAnswer: -105267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 289\/4 - 5\/20. Let c = n + -48. What are the prime factors of (c\/14)\/((-4)\/(-42))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 6, l: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-242593086444\nAnswer: -242593086444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.040604988 - 55.959400312. Let x = 11 + 46. Let s = x + h. Round s to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 - (-1)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -13) + 20 + (12 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -219040917?\nAnswer: 438081834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 4*c + 6. Let b be z(5). Let l be 7\/(-2)*(-8)\/7. Is b <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45825 is divided by 15275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708 (base 11) to base 8.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 3*b + 2*b - b - 3*b + (b + 0*b - 3*b)*(-3 - 1 + 6) - 7*b + 5*b - 5*b + (2*b - 4*b + 1 + 0)*(-4 - 3 + 2) to w*b + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -3.1, 3\/7, 0.5, 2\/13 in ascending order.\nAnswer: -29, -3.1, 2\/13, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -5, -0.1755, -820?\nAnswer: -0.1755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 9 + (-8 - 36\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -389*f**2 - 931*f**2 + 202*f**2 - 1923*f**3 - 317*f**2 wrt f?\nAnswer: -11538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 3590*g**2 - 7177*g - 3588 = 0 for g.\nAnswer: -3588, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/120 + 7*g**5\/60 + g**4\/3 + 3*g**3\/2 - g**2 + 78. Suppose -24 = -0*b + 4*b. Give a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/((-3)\/(-4) - 1). Let q = -54 + n. Suppose 0*d = 2*d - q. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (-83825)\/42 - (-2)\/12. Factor -1141*r**3 - r**5 - 258*r**4 - 2403*r**3 - m*r**3 - 2*r**5.\nAnswer: -3*r**3*(r + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2937263 - 13091.\nAnswer: 2924172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-10) - -3) + 36\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.591 times 12.2?\nAnswer: -68.2102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.434 + 4.146. Let x = p - -0.02. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uotu when four letters picked without replacement from {s: 1, u: 2, a: 5, t: 3, o: 3, r: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 9*q + 13*q + 10 = 0, -v + 2*q + 8 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 68. What is y(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 800.\nAnswer: -5, -4, 800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 475 by 100.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 105316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k - 1. Let p be d(-3). Let t = p + 25. 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: Solve 952*g - 1517*g = 1650*g + 27129 + 103556 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + (6 - 3) + (3 - (30 - 39))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - (-58 + 34 + -6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 73066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27145358?\nAnswer: 2, 13572679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131214\/13 or 35?\nAnswer: 131214\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64757 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, 1 i, and 1 e when four letters picked without replacement from {u: 1, o: 1, y: 1, r: 1, i: 2, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173507 is divided by 68.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3\/5 - 90704*y**2\/5 + 401971668*y\/5 - 502823868552\/5 = 0 for y.\nAnswer: 2697, 17282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4 - 12\/(-48))\/(-1). Solve 4*l + 8 = -k*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-143)\/39). Let w = -0.3 - -0.5. Which is the closest to 0.3? (a) m (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s - 5 = 0. Let t be (-4)\/(-11)*s\/(-2). Suppose 0 = -2*h - 0*h - 2. Is t less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(0*b + 2*b - 5*b)*(-1 - 2 - 3).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12973?\nAnswer: 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101659, 203149, 304445, 405541, 506431, 607109, 707569?\nAnswer: 807805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180858.\nAnswer: 2, 3, 43, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -426*u**2 + 32*u - 10622.\nAnswer: -852*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Let z = r + -4.1. Let j = 1124\/7 - 161. What is the closest to 1 in z, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3112047731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(15981\/(-7610)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let g(s) = 18*s - 15. Let a(y) = -15*d(y) + g(y). Let u(q) = q**3 - 8*q**2 + 8*q - 6. Let j be u(7). List the prime factors of a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = 0. Let a be 4302\/(-6453) - ((-22)\/6 + 0). Sort 5, u, 7, a in increasing order.\nAnswer: u, a, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 c when four letters picked without replacement from {c: 3, v: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -7, -0.2, 0.5, -5, -14 in ascending order.\nAnswer: -78, -14, -7, -5, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 <= -160511\/5474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38533.\nAnswer: 11, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 525869 - 6703778001\/12748. Let b = r - 456511\/892360. Find the common denominator of b and 49\/22.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g + 14. Let w = -19 - -23. Let j be u(w). Suppose -8*s + 5*c + 370 = -3*s, 224 = 3*s - j*c. Calculate the remainder when s is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 1 - 1 + (0 - 2 + 3)*(2*d**2 - d + d) + 5*d**2 - d**2 - 3*d**2 - 7705*d + 7705*d - 2*d**2 + 831 to the form b*d + v + h*d**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 7. Let z(y) = -4*y - 18. Let w(d) = -4*d - 24. Let a(x) = 3*w(x) - 4*z(x). Determine v(a(k)).\nAnswer: -8*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/8 (b) 6 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -35*y**4\/12 + 85*y**3\/3 - 35*y**2\/3 - 200. Factor i(o).\nAnswer: -5*o*(o - 7)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -982055 minus -1325787?\nAnswer: 343732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001339 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 781, 1407, 2731, 4981, 8385?\nAnswer: 13171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(288) + sqrt(1715)\/sqrt(7) + 3)**2.\nAnswer: 43*sqrt(5) + 9569\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20 and -119\/1014?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50\/2*(-9)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 62. Let a be b(-18). Let k be (a - -9)*(-8)\/(-2). Suppose 5\/4*z**3 - z**k + 0*z + 1\/4*z**5 + 0 - 1\/2*z**2 = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 321376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3*w**2 + 7536. Let b(c) = c**2 + 3*c + 3. Let n(x) = x + 1. Let p(y) = -2*b(y) + 6*n(y). Calculate v(p(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7 - 4*i**2 + 8*i + 4*i**2 + i**3 - 4*i**2 - 3*i**2. Let o = 10 + -3. What is the units digit of z(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/14)\/(1\/3). Let j = 0.113 + 6.787. Let f = -7 + j. What is the second smallest value in c, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44027 is divided by 170.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -13 - 19 - (2 - 0)) + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 623, 681, 749, 833, 939, 1073, 1241, 1449?\n\"Answer: x**3 - x**2 + 54*x + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) -2 (c) 872\/3 (d) -15 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413489 is divided by 137690.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 395aa (base 11) to base 3\nAnswer: 2212200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97903153 + 1600*k**3 - 97903153.\nAnswer: 1600*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*t - 14086 = 443*t - 2550 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:48 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 17 = -0*s - 5*q, 3*q + 13 = 4*s. Calculate the remainder when 1*4*11\/s is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1419 - 1416. What is the closest to 1\/4 in -2\/5, 0.3, r, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/846 and -13\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2193, -4381, -6569, -8757?\nAnswer: -10945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 783*b**4 - 16*b + 6.\nAnswer: 9396*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 21*w - 6, 5*y - 8597 = 4*w. What is the highest common factor of y and 606?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*f - 124, 2*p + 4*f = 14 + 54. Solve -4*w - p = -4*l, 0 = -w - l - 4*l + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 + 33 = 4*k, -4*x + 4 = 5*k. Suppose 3*o = -2*o + 10. Does 23 divide (0 - o)*46\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 101, 2, -21, 8, -4 in descending order.\nAnswer: 101, 8, 2, -4, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50185 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13101 + 2731. Let w = k - -51522\/5. Let c = w + 66. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 9:18 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 + 500 - (-2 + 0 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 - 22. Let t be v(7). Let m = 67 + t. What are the prime factors of -1 + (-1 - 1\/(m\/1100))?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -368955*m. Let a(x) = -x**2. What is t(a(n))?\nAnswer: 368955*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/3))**(-3\/13)*j\/(j*j**(-4))*j**(2\/7) assuming j is positive.\nAnswer: j**(376\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -240820635869 - -0.3?\nAnswer: -240820635868.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*n - 4 + 4 - 201*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55080 and 486.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -63. Calculate the least common multiple of 8 and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -362 + 367. Suppose 90 = -j*t - 20. Do t and -22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1726695 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3\/(-6)*108\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((12\/(-8))\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.841361l to millilitres.\nAnswer: 8841.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 3*d**3 + 0*d**2)*(-4 + 27*d - 31*d - 16*d + (-3 + 1 + 5)*(2*d + 0*d - 3*d)).\nAnswer: -69*d**4 - 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1302\/(-77) - 140\/(-154)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*s = 4*s - 5, -s = 3*t - 1. Let u = 2746\/5 + -551. Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42541, 85092, 127655, 170230, 212817, 255416, 298027?\n\"Answer: 6*p**2 + 42533*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2322*n - 25644. Determine d(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -426558*r**4 + 15*r - 80586?\nAnswer: -5118696*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**2 + 4*w**2 + 2 - w**3 + w**2 as i*w**2 + q*w**3 + v*w + g and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11089 - -15527.86. Let l = -4224 + y. Let f = l + -217. Round f to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -61. Determine d so that -3*d**2 - y + 0*d**2 + 30*d - 49 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1018477559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y, y - 3*y + 24 = -5*x. Which is the closest to -13? (a) 0 (b) x (c) -2\/3 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16695, 131126, 441711, 1046526, 2043647, 3531150, 5607111?\nAnswer: 8369606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 22, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3896100 divided by 108.\nAnswer: 36075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*v - 42*v = -348. Solve 2*l - u + v = 0, 63*u - 62*u = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57534*g**3 + 1445866*g**2 wrt g?\nAnswer: 345204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68306 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-5\/2)*p))\/(p**(2\/21)\/p))**(8\/3)*(p**(4\/7)*p*(p\/p**(1\/7))\/p)**(-11) assuming p is positive.\nAnswer: p**(-418\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 0*v + 2 - 3 + 0. Let z be k(-1). Solve 6 = 2*s - s + 4*d, z*s - 5*d + 16 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44784.59 meters in micrometers?\nAnswer: 44784590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 13*l = -1984. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 0)\/(2\/(-4)). Let w = k - 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.437 - -0.1828. Let f = -0.0542 - i. Let j = 24 + -95\/4. What is the biggest value in j, 6, f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2937608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2211567.\nAnswer: 3, 263, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 38. Sort l, 2, 19 in ascending order.\nAnswer: 2, l, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-13) + (-134)\/26 - -3. Let q be j\/((2 + -6)\/(-4)). Sort q, 5, -4, -3.\nAnswer: -4, -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-9)\/18*1271\/(-205)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2.2, -3, -2 in increasing order.\nAnswer: -3, -2, 1, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.2 + 25.84. Let d = p + -0.14. Let o = d - 4. What is the third smallest value in o, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -3*f**5\/20 + f**4\/3 + f**3\/2 + 12*f. Let l(u) = -u**3 + u**2 + u. Determine -2*l(x) + p(x).\nAnswer: -x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 5. Let g(y) = -2*y + 9. What is -11*c(d) - 6*g(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -871*x - 24575. Give i(-28).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*z + 87 = 0, -6358*z = 4*i - 6359*z + 111 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/5, 247, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -77293\/10 bigger than -7729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvuv. What is prob of sequence uvu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 21\/8 (b) -3\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101011 (base 2) in base 8?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 5*a - 1. Let v(b) = -2*b**2 + 7*b + 1. Let f(r) = 8*p(r) + 5*v(r). Determine f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(sqrt(605) - (2*sqrt(605) + -2) - sqrt(605) - sqrt(605)))**2 + (-2 + sqrt(605) + 0 + (sqrt(605)*2)**2*3)*-5.\nAnswer: -30844 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9979)\/(-510) - 19 - 1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -27*j**2 + 166*j - 9. What is g(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51424966 and 1490?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -2213?\nAnswer: -2213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -13252685.75 to the nearest one thousand.\nAnswer: -13253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i**3 - 703*i**2 - 58*i - 69. Let q be m(-54). Solve -q = -8*g - 41*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**6\/360 - i**5\/24 - 3*i**4\/8 - 11*i**3\/2 + 31*i. Let f(l) be the second derivative of n(l). What is f(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 7. Let t(f) = -f - 4. Let b(x) = -4*g(x) + 7*t(x). Let k(m) = 7*m. Calculate b(k(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/5 + -6 - (1 - 4). Which is the second smallest value? (a) m (b) -0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -44, -68, -96, -128, -164, -204?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3, -2*w - 1873 - 1406 = -5*c. Let u = c + -377. Suppose t = -3*h - 0*t + u, 4*h - 374 = -2*t. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 515*o - 271. Does 11 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t*t**(-1\/2)*t*t**(1\/4)*t**2)\/(t\/t**(2\/13)*t**(-6\/7)*t*(t*t*t\/(t*t**(2\/9)*t)*t)\/t**(-4\/5)) assuming t is positive.\nAnswer: t**(-46139\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = g + g - 6, 0 = 3*l - 6. Suppose 0 = -2*j + 10, 3*j + 13 = -g*p + 40. Let o(b) = 8*b + 42. Let n be o(-5). Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 47.\nAnswer: 16\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94669433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 6012935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2. Let p(r) = 10*r**2 - 5*r - 10. Let h(d) = -3*d**2 + d + 2. Let z(n) = -20*h(n) - 4*p(n). Calculate z(s(l)).\nAnswer: 500*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.857 and -232.\nAnswer: -232.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 2:27 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 70916608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1961.778 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -5*i**4\/24 - 4*i**2. Let t(n) = 14*n**2 - 13*n**2 + 4*n**2. Calculate t(c(x)).\nAnswer: 125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(240) + sqrt(240) + sqrt(240) + -1*sqrt(240))\/(sqrt(108)\/sqrt(4)) - (-1*sqrt(125)*6 + -3)).\nAnswer: 4 + 98*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1021*n - 3174. Give v(-3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than 4001.4?\nAnswer: 4003.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 5*j + 20, -2*l + 16*j = l + 65 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.09 * -11513.5.\nAnswer: 12549.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/232 and -23\/1885?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a - 108 = -203*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205831053.\nAnswer: 3, 17, 1345301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148*w = 1123*w + 375 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.05*-0.3\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7428611327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2)*(32 + -4 + -28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11672*v = -11676*v - 2*r - 20, r + 142 = -35*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + x**4 - 41*x**3 + 31*x**2 + 184*x + 112.\nAnswer: (x - 4)**2*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*h + 11, -y + 2*h + 6 = y. Suppose y*a = 66 - 26. Let z = a - 7. Solve g - 4 = z*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*l + 4*l + 0 - 2*l**3 to the form o*l**3 + s*l**2 + v*l + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 88520, 88493, 88466, 88439?\n\"Answer: -27*n + 88547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0 + 3\/112*i**8 + 0*i**3 - 1\/50*i**5 - 2*i**2 - 11\/200*i**6 - 1\/175*i**7 + 0*i**4 - 156*i. Let s(o) = 0. Calculate o.\nAnswer: -2\/3, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11280 (b) 10 (c) 0.3 (d) -4 (e) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7368 = -3*c - 132. What is c rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4832 - -1.0832. Which is the fourth smallest value? (a) 27 (b) -1\/2 (c) 3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33\/5 (b) -4 (c) -106\/5 (d) 1\/2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67, -122, -169, -202, -215?\n\"Answer: q**3 - 2*q**2 - 56*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 712\/12 - 2\/6. Let d = s - 411\/7. Put d, 5, 1 in ascending order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 47077\nAnswer: 5\/47077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 24*r**2 - 3. Let m(z) = 71*z**2 - 3*z - 20. Let t(j) = j**3 + 142*j**2 - 5*j - 36. Let v(a) = -5*m(a) + 3*t(a). What is -8*d(h) + 3*v(h)?\nAnswer: h**3 + 21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/28*118\/(-354).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z = 48*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 plus 1756310?\nAnswer: 1756310.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7 - 8*d**2 + 7. Suppose 0 = 3*v + 2*v - 5. Let q(r) = r**2 + r + 1. Let u(a) = 2*a**2 + 4*a + 4. Let b(h) = v*u(h) - 4*q(h). What is b(s(t))?\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9163*p + 1997865 = -7447*p - 1211*p + 3022*p for p.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y. Suppose 3*q - 185 - 106 = y. Suppose -5*p + q = -98. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 119, 247, 353, 425, 451, 419, 317, 133?\n\"Answer: -2*b**3 + b**2 + 139*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5202)\/(-18) - (-10)\/(-2).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:18 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1096 = 5*m + 5*h + 321, -5*h = 0. Is m - (0 + -5 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3754 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (8 - -2 - (-323 + 311)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 12*c**2 + 12*c.\nAnswer: 3*c*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5113*d**2*y**3 - 38*d**2 - 3*d*y + 8*y**5 wrt y.\nAnswer: 30678*d**2*y + 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - 4*h - 1. Let d be u(2). Suppose -3*q - r - d = 10, 0 = 2*q - 3*r + 12. Let k = q - -30. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40680 smaller than 40594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 2*r + 3. Let p(v) = 2*v**2 + 2*v + 4. Let z(l) = -4*a(l) + 3*p(l). Let d(s) = -s**3 + 3*s**2 + 2*s + 1. What is 2*d(n) + 3*z(n)?\nAnswer: -2*n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-76)\/20)\/((-66)\/(-2310))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5991498 - 3858517. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 + 239*i**2 + 84*i - 340. Determine a(80).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, z: 6}. What is prob of sequence ziz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Let h be -1 + 1 - 2\/7. Let a = 3403 + -10213\/3. What is the closest to 2 in h, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*n**2 - 125996*n - 8943480.\nAnswer: 4*(n - 6370)*(5*n + 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, j: 2, d: 3, b: 8}. Give prob of sequence bjb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.227275l?\nAnswer: 1227.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 4 = 50 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/88 + 12\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110 - 2011010101?\nAnswer: -2011012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 + -26c1d?\nAnswer: -26b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3292\/13168)\/(2\/6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 2*t**3)*(-3 + 4 - 4 + (2 + 0 + 0)*(2 - 9 + 2)).\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:12 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 14*v**2 + 31*v - 27. Calculate z(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + -1. Let a = -18 - q. Sort a, -1\/3, -0.06.\nAnswer: a, -1\/3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224650 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1882355 * 1.\nAnswer: 1882355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 49*x**5\/110 - 385*x**4\/6 - 2432*x**3\/33 - 348*x**2\/11 + 79*x. Let d(l) = 0. Calculate l.\nAnswer: -2\/7, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49146 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1982, -1977, -1972?\nAnswer: -1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1681*s**3 - 492*s**2 + 36*s.\nAnswer: s*(41*s - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**8\/6720 - s**7\/5040 - s**5\/10 - 3*s**2. Let i(o) be the third derivative of c(o). What is x in i(x) = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 761518067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w - 1. Let d be s(-2). Suppose 0 = -3*u - 3*z + d, -3*u + 2*z + 28 + 14 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 18 = -10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 2:57 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 89.6. Let b = 9.2 + a. Sort -2\/11, b, -1, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/11, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*c - 7, 0 = -3*l - c + 26 - 11. Let f = -12 + 17. Suppose 23 = -b + 4*y, b + f*y = 4*b + 41. Sort b, 3, l.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**38*j*j)\/j**(5\/6) assuming j is positive.\nAnswer: j**(247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44000 divided by 8800.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 2*x + 126, 5*x = -4*b + 270. Let g = -31 + b. Suppose 1 - g = -k. What is the greatest common factor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132)\/(-13 - (-9012)\/696). Calculate the highest common factor of 88 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4 - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -147073.57 to the nearest 100.\nAnswer: -147100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 38*n**3 - 2 - 23*n + 0 - 37*n**3. Let g be r(-4). Suppose 0 = -d - d - 4. Put d, g, 0 in increasing order.\nAnswer: g, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-1 - 0) + 8). Let o = d - -10. Suppose -p - 4 = -2*n - 23, -o*n + 9 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2) + ((-15)\/20 - 2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 8) to base 2\nAnswer: 1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 1881*m + 40 = 1886*m, 4*b - m - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 9*o + 9. Let j = -6196 + 6191. Calculate w(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 29447088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -50*f. Let n(y) = -6*y. What is n(s(h))?\nAnswer: 300*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111010100111 (base 2) in base 8?\nAnswer: 107247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -1)\/(20\/20). Factor 6*v**4 + 7*v**5 + 6*v**3 - a*v**5 + v**2 + 2*v**5 + v**2.\nAnswer: 2*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4856 - 4997. Is -144 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/2 + 2*o**3\/3 - o**2 + 3*o - 237. Let m be p(-2). Which is the closest to -3\/7? (a) 2\/9 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 - 86418*b\/11.\nAnswer: 2*b*(b - 43209)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*d - 2450, -6*c - 1238 = -2*d - 10*c. List the prime factors of d.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(0 - -2))\/(6\/12). Let k(g) = -8*g - 21. What is the units digit of k(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1138 times -0.5\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqb when three letters picked without replacement from {e: 6, o: 6, t: 1, b: 4, q: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000361464 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 308, 458, 606?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 y, and 1 j when four letters picked without replacement from {b: 2, j: 5, y: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -2\/15, 2\/13, 4567, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 46721530?\nAnswer: -2\/23360765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -148*a**3 - 2*a**2 - 3*a. Let m be c(-1). Let p(q) = -2 + m*q + 2 - 7. Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i = 64*i - 26. Let t(h) = 58*h**2 + 42*h + 43. Is t(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -2662, -2\/7 in descending order.\nAnswer: -2\/7, -8\/3, -2662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrowqowwor. Give prob of picking 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1746378\/65 - -26870. Let j = v - 24\/13. Let q = -0.8 - 4.2. Which is the fourth smallest value? (a) q (b) j (c) -7 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.2, -10, 7, -0.5, 32, 19.\nAnswer: -10, -6, -0.5, 0.2, 7, 19, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -1 in ascending order.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/44 and 105\/14608.\nAnswer: 14608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = 2*y. Let o be (5\/y)\/((-65)\/70). Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31107 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 25*m + 667. Does 41 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 19. Let h be a(-8). Solve -h*l + 40 = 15*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6086*k + 523406. Give s(-86).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {m: 10, l: 2, c: 1, p: 1, t: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 176*r**6\/15 + 7*r**3\/3 - 15*r**2 + r - 1586. What is the second derivative of f(m) wrt m?\nAnswer: 4224*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 3*c + 2. Let g be d(2). Let l be 33\/15 + 2\/(-10). Suppose g = -l*v + 4*v. Solve -v*f + 9 = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = 5*d + 7, 0 = 5*o - 4*d - 6. Let h = 541\/4 - 136. Which is the closest to o? (a) 1 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 595575 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7900 and 1264?\nAnswer: 31600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 3. Let w(l) = -l**3 - 6*l**2 + 6*l - 2. Let v = -2050 + 2056. Let a(z) = z**3 + z**2 - z. What is s*w(o) + v*a(o)?\nAnswer: 5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -771 or -769?\nAnswer: -769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*k**2 - 21*k**2 + 9*k**2 + 19 + 34 in the form t + v*k**2 + z*k and give t.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.93 in 0.5, -2\/5, -2\/15, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287272, -574547, -861822, -1149097, -1436372, -1723647?\nAnswer: -2010922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 10, 1, -8, -17, -26?\n\"Answer: -9*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 37*w**3 - w + 3. List the prime factors of y(1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least -60\/371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -558*a - 136. Let w(v) = -111*v - 26. Give -3*f(c) + 16*w(c).\nAnswer: -102*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 4, j: 3, w: 2, d: 1}. What is prob of sequence qjwd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9112765 kilometers in nanometers?\nAnswer: 911276500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 21569*k**3 - 2*k.\nAnswer: -21569*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, -5 in decreasing order.\nAnswer: 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -5*h + 9 + 1\/3*h**3 + 3\/2*h**2. Suppose x + 9 = -2*t + 1, 3*t + 13 = -x. Determine a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172898 divided by 271.\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -11. Let o = -35.7 - -33. Let g = h - o. Which is the second smallest value? (a) -1 (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Let y = b - 1.9. Let w = -0.4 - y. What is the second biggest value in -0.1, w, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 62 = 2*h, 4*y - 8*y = 4*h - 136. Let v = -27 + h. Suppose x + 2 = 4. Calculate the greatest common factor of v and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by -6.\nAnswer: 185\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1004 and -1161 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnffkgmfgkgmknkggtn. Give prob of sequence gnf.\nAnswer: 5\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25900 and 626595?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 1:20 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-640)\/(-100))\/((-4)\/(-10)). Suppose -11*s + l*s - 150 = 0. Suppose m + s = -4*j + 155, 4*m = 3*j - 70. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -97 = -9765\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-53)\/(-1749) + 95404319994\/198. Round y to the nearest 1000000.\nAnswer: 482000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196150 and 4225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527537059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or 4\/2276927?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00160865683 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b + 75. Let v = -11 - b. Let o = v + 38. Calculate the highest common factor of o and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2980538647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/(-1)*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/78 and -8\/139243.\nAnswer: 835458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -119. Sort 0, n, 1.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8743 - 2585. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:40 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4)*(-2)\/10)\/((-18)\/(-30)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/786 and 2\/3.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 5420?\nAnswer: 10840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51635857?\nAnswer: 7, 13, 103, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 + 4*t - 1. Let w(r) = 375*r**3 - 2*r**2 - 8*r + 2. Determine 6*a(f) + 3*w(f).\nAnswer: 1119*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3\/3 - h**2 - 3*h + 1. Let d be x(3). Let l be ((-192)\/(-624))\/(5\/65). Solve 6*y - l*y = d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v. Let r be p(-1). Let a = r - 304. Is (a\/9)\/(4\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/9 + 16*x**2\/3 + 640*x\/9 = 0. Calculate x.\nAnswer: -8, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 49?\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - 1020*t + 43365. Let x(b) = 9*b**2 + 2550*b - 108411. Let i(w) = -12*a(w) - 5*x(w). Let i(j) = 0. What is j?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188746753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6520 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 278 - 466. Let n be 0 - 2 - -4 - i. Let b = 296 + n. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3200 - 3199.99966205. Round r to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3\/2 + 1383*h**2\/2 + 2565*h\/2 - 86751\/2 = 0.\nAnswer: -459, -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1630*j**2 - 91*j + 1402. Is g(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*k - 60 = 89*k. Solve -18*l = -k*l + 13*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-5))\/((-63)\/(-36)))\/(-1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376*p**4 + 169*p**4 + 175*p**4 - 4317*p**2 - 29*p**3 - 24*p**3 wrt p.\nAnswer: -768*p - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3)**40*(i\/i**41)**(-7\/3) assuming i is positive.\nAnswer: i**(760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (704\/(-528))\/(2\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 191*p**2 + 2102*p + 14. Let w be k(-11). Solve g = w, 27*m - 23*m - g = -19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9878571 to the power of 1\/2, to the nearest integer?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**8\/84 + k**4\/3 + k**2 - 4. Let j(r) be the second derivative of p(r). What is the second derivative of j(n) wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192575073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 200391.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -97. Let l(k) = -k**3 - 4*k**2 - 4*k. Let n be l(-3). Suppose -3*h + 6 = 2*c, -n*c + 4*h = -23 - 3. What is the remainder when y is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 45 - (-62)\/20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4520, -8995, -13458, -17903, -22324?\nAnswer: -26715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 893711638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 16*d - 45. Is b(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/14)\/i**(1\/4) assuming i is positive.\nAnswer: i**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 36 - 8) + -56.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -40*d + 25. Let q(t) = 5*t - 3. Let g(y) = 3*l(y) + 25*q(y). Let v(r) = r**2. Give g(v(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 6*q + 14. Let l(r) = 3*r**3 - 4*r**2 + 4*r - 4. What is the remainder when l(q) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3389, -0.1, -13, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {l: 7, m: 6, h: 1, n: 2, p: 1, q: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.4201 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*b - 129 + 43, 5*b = -2*f + 69. Let d be 20\/(-3)*(-9)\/3. Solve 5*w - f = -3*o, 5*w - o = -6*o + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4037 + 4035. Let r = 30 + -11. What is the nearest to 1\/4 in p, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/29 (b) 1\/14 (c) -4 (d) -2\/11 (e) 1 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/77 - 90\/70. Which is the nearest to 0.1? (a) l (b) -4 (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = c. Let f(o) = -13*o + 7. Let y(w) = 16*w - 7. Let b(g) = 6*f(g) + 5*y(g). Calculate b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - 1. Let f = s + 170. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -452, 2.\nAnswer: -452, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115, 15, -145, -347, -573, -805?\n\"Answer: 3*p**3 - 48*p**2 + 23*p + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 327, 0, -1, 0.3, 10.56 in descending order.\nAnswer: 327, 10.56, 0.3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y + 46*y = 101*y - 369. Calculate the remainder when 455 is divided by y.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -1280.704.\nAnswer: -15368.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d - 3. Is 39 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10851 is divided by 375?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 511794863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.309 + 0.685. Let f = v - -1.212. What is f rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, j: 1, r: 7, x: 1}. What is prob of picking 2 r and 1 j?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times 54.73?\nAnswer: -2627.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*g = 263*g - 5*a - 18, 8 = 3*g - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 - 2. Let v be n(2). Suppose -8 = 2*s - v*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 12:50 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3480.91 + -3465. Round d to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.2 (b) -7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 637\/5 + -127. Let v = r - 9\/35. Let u be 4\/(-3)*1\/2. Which is the nearest to u? (a) -5\/6 (b) 1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0513 and -17.\nAnswer: 0.8721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 36d3fd8?\nAnswer: -36d3fd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334.77 + -338. Let m = -30.17 + a. Which is smaller: m or -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 5*c. Suppose 1 + c = w. Suppose 27 = 3*p - 0*p - w*b, 3*b = -2*p + 3. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 684335775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r**2 + 21*r**2 - 4*r**4)*(-1 - 3 + 12).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643999374 - -643999378.00000019. Let m = y - 4. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1252 = 3*q - 2*i, -45*i - 1674 = -4*q - 40*i. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 24*g**2 + g + 29. Let n be r(-24). Suppose -p + 2*p - 3*f = 729985, -n*p = f - 3650005. What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100\/39 - -461\/195. Which is the closest to 2\/5? (a) v (b) 1\/5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + 62*g**2 - 1698*g + 36096. Determine p(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 + v + 1. Let j(b) = 5*b**3 - b**2 - b**2 + 4 + 3*b + 0*b + 0*b**2 + 4*b**2. Calculate j(h) - 3*n(h).\nAnswer: 2*h**3 + 5*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 23. Suppose 4*m - 2*u - 6 = 3*m, 0 = -b*m - 4*u + 48. Let x be 4\/8 - 5\/m. Does -2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2.1, 1\/7 in descending order.\nAnswer: 4, 1\/7, -2.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1191 and -0.6.\nAnswer: 714.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64 + 640?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*n**2 + 4)*(119511*n**2 + 53 + 2*n - 119510*n**2 - 2*n).\nAnswer: -4*n**4 - 212*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*w + 13, 5*w + p - 35 = 2*p. Suppose 0 = -5*l - 2*h + 62, 0 = -4*l + h - w*h + 53. Solve l = -5*z + 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 3*y - f, 4*y - f - 4 = 0. Let b be 445\/(-10)*y*-1. Let k = -34 + b. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 145*z - 964. Calculate g(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2544, -2547, -2550, -2553, -2556, -2559?\n\"Answer: -3*v - 2541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6321, 0, -1306, 2\/9, -2 in decreasing order.\nAnswer: 2\/9, 0, -1\/6321, -2, -1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/15 and -61\/273597294.\nAnswer: 1367986470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5 - 23. What is the least common multiple of 6 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -73, -48 in decreasing order.\nAnswer: -2, -48, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*72\/16. Let z be (3 - 8\/l)\/(1\/(-3)). What is the nearest to 20 in 2, z, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22230, 85841, 190820, 337167, 524882?\n\"Answer: 20684*b**2 + 1559*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - ((sqrt(304) - (0 + sqrt(304))*-1) + sqrt(304))) + (sqrt(304) + sqrt(304)*1 + sqrt(304) + -2)**2 + 4 - (-3 + (1*sqrt(1900) + 2)*-6)**2.\nAnswer: -65881 - 1856*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384744 is divided by 397456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5014 - 1474 = -3*l, 2*l = -p + 1165. Let x = -66 + p. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 19*w - 368. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4553165096 rounded to the nearest 1000000?\nAnswer: 4553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let x = -15 + 21. Let z(f) = 10*f - 8. Let d(r) = 11*r - 6 + 1 - 4. Let a(w) = 3*d(w) - 4*z(w). Calculate x*c(l) - a(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*g - 41*g + 33. Calculate the greatest common divisor of 77 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppttptppppipaiaa. What is prob of picking 2 t?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {y: 2, r: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*k - 102*k + 90 = 0. Let l be (5 + -14)*k\/(-27). Sort 0.3, 2\/5, l, -3 in increasing order.\nAnswer: l, -3, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + -3 + sqrt(468)) + -4)**2.\nAnswer: -1008*sqrt(13) + 4996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 - 222?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5*52\/325)\/(4\/(-39110))?\nAnswer: 2, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/7, 16\/3 in decreasing order.\nAnswer: 16\/3, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12003768 to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**8\/56 + j**4\/12 - 3*j + 2. Let b(w) be the first derivative of d(w). What is the third derivative of b(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7452\/(-24))\/(-23)*(-750)\/178875\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 45*n - 165 = 43*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {p: 5, h: 1, b: 2, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -5*d**3\/2 - 137*d**2\/2 - 36*d. Let z(n) = 7*n + 69. Let j(h) = 6*o(h) + 13*z(h). Differentiate j(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -662129.52 to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*j - 3880*j = 465*j - 4780 - 313. Let d = 713\/9 + -79. What is the smallest value in 7, -3, j, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 316, 275, 218, 145, 56, -49?\n\"Answer: -8*t**2 - 17*t + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - z = 0, 0*z + 12 = 4*z. Suppose 7 + 2 = 3*d. Find the second derivative of 8*i**3 + 18*i + 5*i**w - 6*i**d + 8*i**3 wrt i.\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -0*k, -5*k + 2 = -4*l. Let s be (-4 - l)*(-18)\/(-3). Let r(x) = -x - 1. Let b be r(4). Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:55 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-569)\/(-27) - (-6)\/(-81). Let l be u\/(-14)*10\/(-3) + -11. Sort -2, -1, l, 2 in decreasing order.\nAnswer: 2, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137\/1540 - -3\/77. Let q = n - 3\/20. Let t = 25\/2 - 12. Which is the closest to 0.1? (a) q (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726398.4km in nanometers?\nAnswer: 726398400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 - 28*c - 2. Let b be m(5). Solve 1 = 16*h + b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50910412 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2428 + -1978. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14719077\/136 + -108231. Let g = n + 36\/17. Let z be ((-6)\/30)\/((-1300)\/(-1000)). What is the closest to z in 4, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 6*p**2 - 5*p - 1. Let c be u(-6). Let m be -2 - (-3 - (0 - c)). Let x = m - -70. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 1. What is a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1255, 5355, 12189, 21757?\nAnswer: 34059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbfbfttttftt. Give prob of picking 3 b.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571 is divided by 74?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 3. Let z be (175\/(-2))\/(105\/54 + -2). Let c(i) = -4 - 1574*i + z*i + 0. Give -4*c(k) + 5*y(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(30150\/469)*(-10)\/(-3)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 3*p**2 + 20*p\/3 + 4.\nAnswer: (p + 1)*(p + 2)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.02, -0.31, -0.4, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 13. Suppose 4*k - 86 = -4*x - h, 3*k - 12 = 0. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = 4*p - 2*c, -3*c + 3 = 5*p. Suppose 0*d + 40 = -2*d + 5*u, -1 = -d - u. Sort p, -2, d in descending order.\nAnswer: p, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*h + 621425 + 1718628 = 422319. Does 82 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/25*175\/28?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56568 is divided by 1572?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560612 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16558 divided by -34.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -32411 + 32411 - 2*s. Let k(m) = 255*m. Calculate k(h(c)).\nAnswer: -510*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/100)\/(-1*(-2)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 40*n**2 + 36385*n - 1455413. Determine v(40).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**4 - 7*a**2 - 25*a**2 - 14*a**2 + 6*a**2 - 16*a**4 wrt a?\nAnswer: -576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53233073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18154 + -0.2114. Sort -3\/5, 1, n, 4 in descending order.\nAnswer: 4, 1, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9117, -18280, -27487, -36762, -46129, -55612, -65235?\n\"Answer: -4*x**3 + 2*x**2 - 9141*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106184 is divided by 357.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63112.6123735 less than -816?\nAnswer: -63928.6123735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.967092nm?\nAnswer: 0.000000000008967092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, o: 1, v: 1, t: 2, w: 1, k: 4}. What is prob of sequence ow?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -60*q. Let j(z) = -6*z**2 + 12. Give r(j(a)).\nAnswer: 360*a**2 - 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/(-44))\/(1\/4))\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) - (-184)\/(-18). Let b(z) = -z + 3. Let l(m) = -3*m + 7. Give i*b(u) + 4*l(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 17*p + 14. Let o be w(9). Solve h - o*t - 24 = 0, -4 = 2*t + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*h - 305 - 439 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**4\/4 + 4*h**3\/3 + 3*h**2\/2 + 8*h. Let v(q) = q**2 + 1. Let n(d) = -2*a(d) - 10*v(d). Suppose n(f) = 0. What is f?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:10 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 6. Suppose 6*y = 3*y - 12. Let m be l(y). Suppose m*s - 13 = 37. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -21.7. Which is the nearest to -0.3? (a) n (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1400542*m**2 + 6474*m + 16185. Let g(r) = 2163*r**2 - 10*r - 25. Let p(b) = 3237*g(b) + 5*s(b). Let a(i) = -2*i. Determine a(p(o)).\nAnswer: 2158*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-4))\/((-17)\/(-2924)). Let f = v + -36. Let t(q) = -q**2 - 17*q - 10. What is the remainder when t(-15) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10189 + -10187. Put h, -3, -1, -4, 0 in descending order.\nAnswer: h, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*(0 - 1 - 2)*(11*l**2 - 11*l**2 + 6*l**2) to a*l + g*l**2 + b and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 18*i**2 - 88*i + 69. What is v(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*-2)\/(sqrt(1728) + sqrt(1728)*-2).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1469 (b) -5 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2455*z + 167. Let l be g(-1). Calculate the highest common factor of l and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*j + 96, -5*j = 4*f - 26 - 103. Calculate the common denominator of 47\/22 and (45\/2490)\/(f\/(-73)).\nAnswer: 21912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 64 (b) -1\/6 (c) -2 (d) -219 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -108*d + 11 + 5 - 366*d - 497*d. Let r be c(4). Let i = r - -23123\/6. Calculate the common denominator of -131\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*l + 2*b, -3*l = 2*b - 3*b - 49. Let g = 22 - l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48775 - 0.026862\nAnswer: -48775.026862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1091*y - 2652 = -1103*y. Calculate the remainder when y is divided by 73.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Let t = -15 + 18. Solve w - m = -t*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j = 5*j + 840. Solve -j*t + 54 + 66 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -576 > -574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 12. Suppose l - 4 = 4*f, 2*f + 14 = 5*l - i. Suppose 0 = -0*p + 3*p + 2*g - 113, -3*p + l*g = -125. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -39. Let s(x) = 2*x**3 - d*x + x**2 - 3*x**3 - x**2 - 11*x**2 - 26. Is 19 a factor of s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1181600 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 108 = i, i + 12 = -2*i. What is the remainder when 80 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*x + 2*h, x - 6*x + 33 = 2*h. Suppose -j = 5*n + 32, x*n + 0*n = 5*j + 130. Does 8 divide (-36)\/(j\/(-12) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 2*r**2 + 3*r**2 - 1 + (-r**2 - r**2 + 4*r**2)*(717 + 1899 + 191) in the form l*r + p*r**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 725311.56 to the nearest 100.\nAnswer: 725300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -764352 or 1?\nAnswer: -764352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let n be ((-220)\/(-16))\/(-5) + 3. What is the third biggest value in n, 0.3, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 7*l + 0 + 2*l as m + a*l and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309897682 to the power of 1\/3, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/40 + r**5\/2 + 25*r**4\/8 - 336*r**2. Factor y(a).\nAnswer: 3*a*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {e: 1, w: 1, p: 1, d: 3, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*b**4*h + 2*b**3*h + b**2 + b*h + 297*b wrt b.\nAnswer: -1068*b**2*h + 12*b*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + 2*r**2 - 4*r**2 + 3*r**2 - r**2 + (4*r - 3*r - 2*r)*(0*r - 2*r + 0*r) - 2*r**2 - r**2 + 5*r**2 + (5*r - 4*r - 2*r)*(4 - 2*r - 4).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a - 11*a**2 + 31*a**4 - 3*a - 2*a + 247*a**4 wrt a.\nAnswer: 6672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.282 + -1.515. Let o = 505.213 - 505. Let b = o - p. Round b to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*s + 3648 + 3524, 3*i = s - 3588. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69c0 - 15?\nAnswer: -69d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 t when four letters picked without replacement from {t: 2, e: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -760 by -19.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 684.1, -1\/12, 5, -6, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*k - 296*f**3 + 2*f**2*k + 315*f wrt f.\nAnswer: -6*k - 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42465653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*g**3*h*j - f*g**3*h + 2*f*g**3*j - 2*f*g**2 - f*h**2*j + 24*g**3*h**2*j + 2*g**3 - 3*g**2*h**2*j wrt h?\nAnswer: -2*f*j + 48*g**3*j - 6*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 = -3. Let t = 65 - 14. Let v = t + -47. Sort -3, v, z in increasing order.\nAnswer: -3, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 47907144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3281 is divided by 1676?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -255 - (-3 - (-32)\/4). Let r = -256 - x. Solve 0 - 20 = r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*u = 2*u + 1670, 3328 = 2*w + u. Suppose -2*f = -6*f - 3*b + 1650, -4*f + 3*b = -w. Suppose 0 = 9*y - f - 360. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwewew?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 10 in decreasing order.\nAnswer: 10, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let z be i(2). Suppose -2*v + 9 = m, m + 12 = 4*m + v. Suppose 0 = 4*w + 4*c - 84, -3 = m*c - z*c. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 245, 515, 837, 1229?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k - 30. Let r be k\/3 - (-6)\/9. Suppose 0 = 4*j + 5*z + 1, 2*j = j + 4*z - 16. Sort -3, r, j.\nAnswer: j, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 209*d - 3335. Determine c(78).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 + 42084*j**3 + 9*j**2 + j + 284194 wrt j?\nAnswer: -24*j**2 + 252504*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*u**2 + 3283*u**3 - 3298*u**3 + 50*u - 10*u.\nAnswer: -5*u*(u + 4)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31364621921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41487.\nAnswer: 3, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1481208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 23*l. Let z(i) = -i**2 + 118*i. Give z(j(d)).\nAnswer: -529*d**2 + 2714*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9870\/80)\/21)\/(2\/(-8)*(-14)\/28).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r + 6. Let y(o) = -3*o - 2. Let m(g) = -3*p(g) - 8*y(g). Let h be m(-6). Suppose -2*t + h = -8. Calculate the highest common divisor of 108 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (412*k**3 + 146*k**3 - 163*k**3)*(-k**2 - 3*k**2 + 5*k**2).\nAnswer: 395*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*q**3 - 1327*q**2 + 7214*q - 9288.\nAnswer: (q - 2)*(3*q - 172)*(7*q - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 1297372 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 = 3*t. Let d = -5.1 + -0.9. Let m = -4 - d. Which is the nearest to -0.3? (a) 1 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 230\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3 (c) 9 (d) 1 (e) 475\/13 (f) -8 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282093*r**2 + 148592.\nAnswer: 564186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 3. Let g be r(-5). Let a be 1\/2*(-3)\/g. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -16*j - 22. What is the units digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 85\/6 of a day?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -8. Suppose -3*s + u = s. Suppose k = -3*i - 15, -2*k + 4*i = 3*i - 5. Solve s*d + k*d = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/28)\/9*21\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -23\/6, 6, -18, -1\/6, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 83*i + 94.\nAnswer: -4*i**3 - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/97? (a) 0 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 20. Let p = j + -12. Let z = 18769 - 18772. Sort z, p, -6.\nAnswer: -6, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 38600003 = -2*f + x, -3*x = -4*f - 77200009. Round f to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 3138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -156 in descending order.\nAnswer: 5, 1, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*(-9)\/27)\/((-11)\/(-22)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 41, 59, 77, 95?\n\"Answer: 18*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121018 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.7 - -5. Let o be (-2)\/3*(-90)\/12. Suppose -3*w = -o*i + 8*i - 30, 3*i - 15 = 0. Which is the second biggest value? (a) w (b) r (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/141 and -38\/141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((4*(sqrt(85) + (sqrt(85) - sqrt(85)*-1) + sqrt(85)) - sqrt(85)) + -2*1*sqrt(85))*6)\/((sqrt(385)\/sqrt(176))\/(sqrt(28)\/(sqrt(12)\/sqrt(3)))).\nAnswer: 1248*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-630)\/(-300)*(-60 - -50).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 154 = p, 68 = 2*i + 2*p. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3291743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1457, 1842, 2223, 2600?\n\"Answer: -2*r**2 + 391*r + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137044*r**4 - r**3*t + r**2*t - 64*r*t + 2*r - 2*t - 74 wrt r?\nAnswer: -3289056*r - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128228*n + 278795*n - 133960*n to l + k*n and give k.\nAnswer: 16607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocd when three letters picked without replacement from ddccoookoookdl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-190)\/2*21\/5. Let i = 720 + c. Suppose z + 2*p = -z + 134, 5*z - 2*p = i. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962 + 216 = -2*t + 33*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s + 13*s + 1728. Let b = 270 - s. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-10) - 1) + (-19)\/35)\/(184454\/(-120079554))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 171750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 1. Let n be z(-2). Suppose -n*g + g + 40 = 0. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u - 2*u - 6*u)*(-2 + 11 + 0)*(2*u**3 + 2*u**3 - 2*u**3).\nAnswer: 342*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1257.7 - 1340.63. What is v rounded to zero dps?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*c**4 - 13*c**3 + 4*c**2.\nAnswer: -c**2*(c + 1)*(17*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a145 (base 12) to base 2.\nAnswer: 10011011101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i**2 + 15*i - 14. Let t(c) = -5*c**2 - 7*c + 7. Let a(v) = -9*t(v) - 4*z(v). What is the lowest common multiple of 13 and a(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 91*p + 136582 - 595123. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -201210 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(4*u - 3*u - 4*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8, 4, 6192, 632, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29381166 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-270)\/(-720))\/(81\/12). Let h(a) be the first derivative of 7\/6*a - 1\/2*a**2 - w*a**3 - 22. Factor h(k).\nAnswer: -(k - 1)*(k + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 1039, 1558?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.052 in 1, -0.12, 6\/1051, -5?\nAnswer: 6\/1051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.30092ml in litres?\nAnswer: 0.05730092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 190 = -5*t, -t - 2*w - 175 = -6*t. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 10 = y, -3*j + y = -34. What is the greatest common factor of j and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -108*-0.4\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83470063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.13 - -45.14. Let d = -12 + n. Let u = d - 5. What is u rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/58, 132, -0.3 in descending order.\nAnswer: 132, 5\/58, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529653*z**6 + 57*z**5 - 4060*z**2 + 32971 wrt z.\nAnswer: 63558360*z**3 + 3420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 427\/(-12) + 2\/(-3). Which is greater: v or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 7. Let r be d(8). Let c(x) = -2*x**3 + x**2 + 2*x + 1. Calculate the smallest common multiple of 1*4 + (1 - 1) and c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19923*l - 94855*l + 6502*l + 16 - 151572*l. Let g be o(8). Round g to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(15 + 8)*(1 - 2). What is n rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - 9\/(-36). Which is the closest to g? (a) -0.3 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.662 - -3.719. Round q to 1 dp.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38\/4)\/((-5)\/(-10)). Let p(h) = -9*h - 38. Suppose -7*u - 142 = -9. Let t be p(u). What is the greatest common factor of m and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88581 is divided by 3622.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -335219\nAnswer: -5698723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 6*i - 4*i + i + 3*i - 5*i - 2*i + 1 - 1 + (-4*i + 4*i + 2*i)*(4 - 3 - 2) - i + 1 - 1.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*y, -2*a - 8 = -4*y + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 25. Let f = 12 - 9. Suppose r = x + 9, 3*r + f*x - 35 = -2*x. Calculate the highest common factor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdq when three letters picked without replacement from {r: 2, j: 1, g: 2, d: 1, t: 1, q: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a - 4*a + 2*a)*(2*a + 2 - 2)*(-5 + 2*a**2 + 5) to the form u*a**4 + b + f*a**3 + t*a + k*a**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 854056 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 19479 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -271 (c) -1 (d) -0.2 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420430?\nAnswer: 2, 5, 42043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 273808?\nAnswer: 1916656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(1280\/688))\/((-280)\/320)\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**3 - 8*t**3 - 4 - 3 + 10*t**2 - 6*t + 18*t**3. Let p(r) = r**3 + 9*r**2 - 5*r - 6. Let y(l) = -5*m(l) + 6*p(l). Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 7*o + 6. Let u be l(7). Let g be (u\/12)\/(1\/10). Calculate the remainder when 25 is divided by (-21 - g)*(-1)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of ((-1420)\/(-7))\/(66\/231)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/45*-12)\/((-68)\/(-6))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 1020?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 3*z**2 - 2*z**2 - 2*z**2 + 4*z**2 + 0*z**2 + (-3 + 3 + z)*(1 + z - 1) + 4*z**2 + 2*z**2 - 4*z**2 + 5*z**2 - 4*z**2 + z**2 + z**2 - z**2 - z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, -3 in decreasing order.\nAnswer: 2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-44) + 45\/(-55). Let o(q) = q**2 + 13*q + 18. Let t be o(-12). Let c be 21\/(-15) - t\/(-15). Is f != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117\/8 + -3377\/232. Suppose -31 = -3*k - 2*f - 37, 4*f = 5*k - 12. Is q smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-8)\/16*28\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.454725, 1\/3, -5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s + 6, 5*v + 3*s = 22. Suppose -2 = 2*z + m + 4*m, v*z = -4*m - 5. What are the prime factors of 16 + -3 - (0 - z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.693582l to millilitres.\nAnswer: 2693.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 969 and 57285.\nAnswer: 973845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 389 - 29 = -5*v, -3*v + x = -250. Let y = 86 - v. Solve 0 = -4*q - 2*t - y*t + 23, 2*q - 16 = -4*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, o: 1, x: 4, j: 2, l: 2}. Give prob of picking 1 j and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 5697663*o + 32463363661569.\nAnswer: (o + 11395326)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.94824 to one decimal place.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 3*r + 4*p, 0 = 4*r - p - 143 - 105. Let u = r + -57. Solve 4*j - 4 = -u*k + 4, 0 = -2*k + j + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 364 + 397 = -q, -6 = 4*q - 2*u. Solve q*g = 5*m + 15, -8*m - 12 = -4*m - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830392869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*v + 435 - 195 + 356 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/9 of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -68, -98, -124, -146, -164?\n\"Answer: 2*o**2 - 40*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f. Let j(p) be the second derivative of 185*p**4\/12 + 159*p. Determine a(j(h)).\nAnswer: -555*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 2\/3*l**4 + 8\/3*l - 8\/15*l**5 - 2\/9*l**6 + 14\/3*l**2 + 32\/9*l**3 - 3. Factor y(i).\nAnswer: -4*(i - 2)*(i + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4)\/p)\/p)**4)**16*((p**(1\/4)*p)**(1\/13))**(-2\/37) assuming p is positive.\nAnswer: p**(-369413\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121308 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10002 or -10003?\nAnswer: -10003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {w: 2, b: 1, u: 1, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.233 + 5.767. Is c < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 45 + 10 = 0. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*606\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, y: 2, s: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711502 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229736 is divided by 2225?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 6*p**2 - 6*p + 7. Let a be k(5). Let s = -5.6 - -5.89. Let b = s - 0.19. What is the third smallest value in -3, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -7258540357?\nAnswer: 7258540356.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 26*o = -9200. Round o to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 - 113*c**3*j**3 - 23*c*j**3 - c + 8*j**3 wrt c.\nAnswer: -36*c**2 - 678*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:35 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z, r + 2 = 3*z + z. Let q = -7235 - -7254. Solve -r*a - 11 = q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -82. Let x be k\/27 + 2*(-2)\/18. Suppose x*n + 4*t - 126 = 0, 2*t + 25 = 2*n - 73. What is the highest common factor of 92 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*n = -426, 3*c - n + 632 = 6*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254\/9 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + 2 + (-16)\/(-12). What is the derivative of 3*l**3 - 91 - 17 + l**k - 5*l**3 wrt l?\nAnswer: 4*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1952860, -1952857, -1952844, -1952815, -1952764, -1952685, -1952572?\n\"Answer: q**3 - q**2 - q - 1952859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:41 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3814025980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*198\/63)\/(1*-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47\/(-16) + (-48)\/768. Let m(u) = 4*u**3 + 3*u**2 + 4*u + 3. Let d(p) = -p**3 - p**2 - p - 1. Determine i*d(h) - m(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 - -338. Solve -14*r - 6 = -t*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 2*k**2 + 27*k**2 + 0*k in the form o*k + b*k**2 + y and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(-5 + ((sqrt(891) + -2 + sqrt(891))*2 - sqrt(891)) + sqrt(891))*-1*1)**2.\nAnswer: -23328*sqrt(11) + 516132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1042 - 599. Is 28 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**3*v**2*z + 17*g**3*v**2 - g**3*z - g**3 - 6*g**2*v**2*z + 2*g**2*z - 3*g*z - 2*g - 5*v wrt g?\nAnswer: 84*v**2*z + 102*v**2 - 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, 19, 64, 127?\n\"Answer: 9*c**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4281352 is divided by 1443?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -3*o + 27. Let z = -18 - o. Find the second derivative of 45*f**2 - 3*f**z - 13*f - 17*f wrt f.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -14, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -3, -4, 1, 13.\nAnswer: -49, -4, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -54*w**2 - 2*w - 4. Let z(q) = q**2 - 1. Calculate -r(s) + 4*z(s).\nAnswer: 58*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -18. Let l = x + -11. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3374.27201 rounded to the nearest 10?\nAnswer: -3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1582*n**2*p**3 + 3*n**2*p**2 + 632*n*p**3 + 6*p**2 + p - 3110 wrt p.\nAnswer: -9492*n**2 + 3792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 555395*l**3 - 1666150*l**2 + 1110760*l = 0.\nAnswer: 0, 1, 2, 111076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325576521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 44*a + 176. Let x(b) = -3*b**3 + 11*b**2 + 8*b + 12. Let m be x(a). Calculate the highest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.461 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686560 and 6174749.\nAnswer: 4291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-56)\/120)\/7)\/(246\/1845))\/((-1)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1353776 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/13)\/o**(-6)*o\/((o*((o**(1\/5)*o)\/o)\/o)\/o)*o**(-5)*o assuming o is positive.\nAnswer: o**(237\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 24*f + 440. Suppose 468 = 11*q - 5*q. Calculate the smallest common multiple of n(-18) and q.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 296, 295?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 + -59. List the prime factors of o*(-4)\/16*-2.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-19 - (-20 - -9)). Suppose 0 = i + v, 597 = 2*a - 5*i - 21. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 1489334.\nAnswer: 25318678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 114 = 2*k. Let w = 126 - k. Calculate the least common multiple of w and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66428 and 14481304.\nAnswer: 14481304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -11*x**5\/120 - x**4\/6 + 10*x**3\/3 + 8. Let d(h) be the third derivative of q(h). What is the derivative of d(c) wrt c?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11 = 9. Let y be (u - 0)\/(-9 + 11). Let v be (-2)\/y - 20\/50. Solve v = 5*c - 34 + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 3*p - 3 = -10*t, -5*t - 15 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -50 + 57*t - 27 + 77 - 45*t. Let p(x) = 9*x**2 - 7. Let r(c) = 8*c**2 - 6. Let u(h) = -6*p(h) + 7*r(h). Give a(u(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*y - y - 232, -3*y = -3*q - 690. Let c = y + -37. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 94, 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.769 + -3.569. Sort -8\/23, m, -2\/5 in ascending order.\nAnswer: -2\/5, -8\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -430*z - 25 = -435*z, 3*o + z - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2900 * -0.3\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (20 - 12) - (15 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(28)\/sqrt(4)))\/(sqrt(18)\/sqrt(8)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677292 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5760, -5675, -5590, -5505, -5420, -5335?\nAnswer: -5250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - m + 5*u + 10, -4*u + 9 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(117) + sqrt(117))*-2*-6 + -2.\nAnswer: -19 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -28*n + 27*n, 2*q + n + 604 = 0. Let s = q + 697. What are the prime factors of s?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/3 + (-18)\/8. Let c = 11 + -9. Let o be (-144)\/80 + c + -1. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2101405 + -2453?\nAnswer: -2104302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s + 9*s)*(2*s - 2*s + 2*s + 0*s + 2*s - 3*s + (-5*s + 3*s + 0*s)*(3 - 1 - 1))*(-3 - 7 + 3) in the form n*s + j*s**2 + d and give j.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*c**4*t + 3*c**3*t - 74*c*t wrt c.\nAnswer: 504*c**2*t + 18*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1202 + 1203. What is the second smallest value in d, 2, -4, 21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128621 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*g + 37 - 604 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:13 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10338, 20745, 31256, 41919, 52782, 63893?\nAnswer: 75300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)*i**(-2)*i**(-4)\/i**5 assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35627838?\nAnswer: 2, 3, 2269, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x + 420 = 2*l, -x = 5*l - 1064. What is the remainder when 426 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/7 - 112502*q**2\/7 + 112496*q\/7 + 225000\/7 = 0.\nAnswer: -1, 2, 56250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)\/((-42)\/(-98)) - 0\/10. Solve -4*u + h*u - 1 = n, -5*u - n = 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 33*v**2 - 87*v - 720. Calculate z(-16).\nAnswer: -3168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80291*j**3 - 39883.\nAnswer: -240873*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/22 and 29\/496.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1539)\/2241*(-2 - (-10)\/6) and -55\/3.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 100*s**4 + 90*s**2 + 11. Let t(u) = 20*u**4 + 18*u**2 + 2. Let j(r) = -2*l(r) + 11*t(r). Find the third derivative of j(p) wrt p.\nAnswer: 480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:01 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = 3*s - 5*c, s = 5*c - 8. Is s at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*f**2*s*w**3 + 3*f**2 - 415*w**3 wrt s.\nAnswer: -122*f**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63267991 times 3?\nAnswer: 189803973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 442288062 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 0, 1, 0, -3, -8?\n\"Answer: -r**2 + 6*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/2 - 2*r. Let b be 12\/21 + (-90)\/(-63). Determine p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/28)\/((-8)\/(-84)). Let y = -40 + o. Let p be -4961 + 3*y\/(-12). Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*n + 1102 - 87. What is the lowest common multiple of 2 and n?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-7)\/630)\/((-6)\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23445 - 3.76555. What is the nearest to 1 in t, 4, -17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3951.835 + -3964.6. What is n rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-1)\/5). Suppose 0 = -o*w + 12 + 4. What is the greatest common divisor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 413297412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168797642 and 57662?\nAnswer: 5242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 405 - 255. Suppose -13*f = -16*f + j. Suppose s - 24 = -o, 3*o - 56 = s - 0*s. Calculate the greatest common factor of o and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198787*t**3 - 667339*t**3 - 411410*t**3.\nAnswer: -879962*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13176\/2684*22\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -1 (c) -5 (d) -2.01 (e) -0.27 (f) -1.07 (g) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105173697?\nAnswer: 3, 35057899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -26, -59, -112, -191, -302, -451, -644?\n\"Answer: -r**3 - r**2 - 9*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 114*c**7\/35 - c**6\/40 + 1751*c**5\/30 - 162*c**2 + 2. Find the third derivative of p(t) wrt t.\nAnswer: 16416*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141.6 - 34.4. Let m = u - -176.5. Let g be -1 + (-1)\/3*-5. What is the closest to g in 0.3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*l - 6 = -2*p, -p + l - 3 = 0. Suppose 3*d = -5*s + 28, 5*s + 2*d - 21 - 6 = 0. Let g(z) = s*z + p*z - z. Let k(w) = 2*w**2. What is k(g(t))?\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -8. Solve -2*k + 2*v - 10 = g*k, k = -2*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 355 - 537. Let c = o - -181.8. Which is greater: -3\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14880 divided by 2976?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13669836 and 1632?\nAnswer: 109358688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924 is divided by 960.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 1.746?\nAnswer: 34.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) + 2 + (sqrt(180) - (3*sqrt(180) + 0)))**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + (-310)\/40 - (-27)\/4. Solve 9*s - p*s + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126081 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 268294?\nAnswer: -1\/268294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 10 = 12*q, 2*q + 4*o + 30 = -o + o - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/371 and -29\/16.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11784\/5 at most as big as 2356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -3b?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 121*y + 239*y - 117*y + 404 = 401, -y - 12 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 0.3609751?\nAnswer: -3.2487759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbqq when four letters picked without replacement from {r: 2, q: 2, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -10607?\nAnswer: -3182.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, h: 5, q: 4, c: 1}. What is prob of sequence qj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*h + 19 - 78 + 31 + 28.\nAnswer: -499*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - k = -6*k - 52, -4*v + 2*k + 40 = 0. Let p(o) = -5*o + 2. What is the remainder when p(-4) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.68 (c) 1753 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t - 5*y + 5 = -56*t, -5 = -5*t - 5*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-534822)\/(-21))\/((-82)\/(-287)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6593975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(6\/11)*a**(-5))**(2\/21))**(-2\/37))**19 assuming a is positive.\nAnswer: a**(532\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738 a factor of 188698914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*q**3 + i**3*q**2 - i**2*q**2 - 9545*i*q**5 + 2967*q**2 + 2 wrt q.\nAnswer: -6*i**3 - 572700*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4999 and -12.235.\nAnswer: 61162.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 66 + -28 - -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4960 and 640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8762 and 28678?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602043 by 1677.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 3. Let o be c(-6). Suppose 0 = 6*t - t - o. Let f be 11\/t - (-6)\/18. Is f bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 3*p + 116, -l + 2*p + 111 = 0. Let u = l + 100. What are the prime factors of 4\/(-10) - u\/(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201.93 + -202.17. What is the nearest to 0 in n, 0.1, -2\/19, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13757457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:56 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 - 4*b - 3. Let r be i(-4). Let h = 0 - r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 348062658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/3 - 10*f**3\/3 - 12*f**2 + 12*f. Solve n(z) = 0 for z.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 49*l**3\/6 + 340*l. Let q(s) = 2*s**2 + s**2 - 4*s**2. Calculate k(q(r)).\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5))*6*-1.\nAnswer: -6*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + -3)*5)**2.\nAnswer: -4050*sqrt(17) + 36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2)*n*n*n**(1\/6)*(n\/((n*n**(-7))\/n))\/(n*n**(-1\/2)) assuming n is positive.\nAnswer: n**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 3. Let w(k) = 13*k - 13. Let t(z) = 9*p(z) - 2*w(z). Calculate t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -477478*u**2*v**6 - 2*u**2*v**2 - 15*u**2*v + 2*u**2 + 30*v**2 - 3 wrt v.\nAnswer: -57297360*u**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35829 divided by 3?\nAnswer: -11943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21915.15ug?\nAnswer: 21.91515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**7\/21 - 21*d**5\/20 - 161*d**3\/6 + 4*d - 25. Find the second derivative of a(i) wrt i.\nAnswer: 40*i**3 - 126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2424210 - 22131?\nAnswer: -3001341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**4\/3 + k**3\/6 - k**2. List the prime factors of r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 759 and 21505?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1605 + 5449\/2. Suppose 448 - 1607 = t. Let v = t + w. What is the common denominator of v and -25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 123. What is the closest to -0.1 in -0.4, 98, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let p(a) = a**2 - 37716*a. Give p(k(s)).\nAnswer: s**2 + 37716*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(23\/(-414)). Suppose -4*g - s = -2*y, y = -2*g - 1 + 3. Suppose f = y*b + 16, -5*f + 0*b = b + 25. Is f greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058350789 to seven dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4007758 divided by 1\nAnswer: -4007758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -36*q - 1. Let z(y) = -y. Let j(a) = h(a) - z(a). What is the units digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 5:35 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 times -0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*k + 4*k = 28 + 4064 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21188\/11 + 1926. Is -4\/89 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)\/(7\/((-42)\/44) - -7). Solve -5*h - 2*u = 2, 0 = -4*h + p*u + 4 - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936.928 decades in months?\nAnswer: 112431.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (25395\/20)\/((-6)\/3 - 1170\/(-576))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3892.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeqeeeeeeeeeeeeee. Give prob of picking 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -47. Let q = -16 + 8. Let h = 22 + q. Calculate the remainder when d is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzerg. What is prob of sequence eg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -998\/22565 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/4 + 702*r**3 - 14069*r**2\/4 - 2808*r + 14065 = 0 for r.\nAnswer: -2813, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*o + 4*o + 18*o.\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20112 - -220?\nAnswer: -14342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 685.6631 to zero dps.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 1007072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, t: 1, v: 2, r: 1, c: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f - 29*f - 92 = 0. Which is the fourth biggest value? (a) 4 (b) 0 (c) f (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1440530918 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 14 - (-92 - ((6 - -3 - -7) + -8))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 6. Let b = -18 + 29. Suppose -2*w - 3*h = 3, 2*h - b = -5*w + 9. What is the lowest common multiple of y(-12) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1982, -2017, -2052, -2087, -2122, -2157?\n\"Answer: -35*k - 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b. Give v(-15).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 37*g = 287 + 37 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272980?\nAnswer: 2, 5, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**4 - 6*q**3 - 23946*q**2 - 6940202*q - 2 wrt q.\nAnswer: 12*q**2 - 36*q - 47892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 293?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -3. Let j = p - 27. Let n = -5 - -5.1. Sort j, n, 3 in increasing order.\nAnswer: j, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340194 (base 12) to base 9.\nAnswer: -1504114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -29\/7?\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 188.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = -6. Let q be x + 21\/6 - 2. What is the nearest to -1 in 5, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*259\/5994)\/((-35)\/30)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 2.3 (b) 1 (c) 18\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((7*r + 2*r - 5*r)*(-4 + 0 + 2) + 0 - r + 0)*(12 + 1 + 4) to the form y*r + b and give y.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1314613 and 0.2?\nAnswer: 262922.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27*(-10)\/135*(-4)\/160\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g, -29 = -3*h - h - 5*g. Let c = h + 1. Let y(o) = -o**3 + o**2 + 5. Let d be y(0). Sort c, 1, d in descending order.\nAnswer: d, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2856 and 1428?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-5\/3))**41 assuming n is positive.\nAnswer: n**(328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 2*x - 2. Let c be h(-1). Let v(o) = -o**3 - o**2 - 2*o + 1. Calculate the least common multiple of v(c) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*h + 5*f, -5*f + 295 = 5*h + 95. Suppose -h = -4*p - 3*y, -3*p - 4*y + 21 = -13. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7911 + 25838. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.294 + 132.706. Let v = -132.9947 + t. What is v rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003504878 rounded to seven dps?\nAnswer: 0.0003505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 3*k. Let n be b(2). Let v be ((-2)\/(-4))\/(1\/n). Put -2\/7, -0.4, v in ascending order.\nAnswer: -0.4, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*l - 10, -2*l + 5*u = 2*l - 8. Suppose l = g, -3*s + 4*g + 14 = 52. Is s bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.6? (a) -6.7 (b) 345\/7 (c) -1\/7 (d) 0.07 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33839 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 42*t**2 - 38*t**2 + 81*t**2 + t - 8. Calculate q(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431154 is divided by 107787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 39*v**3 - 5*v**2 + 12*v + 2. Let a(t) = -t**2 - 6*t - 1. Give 6*a(r) + 3*f(r).\nAnswer: 117*r**3 - 21*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635014*y + 3*y**2 + 317869*y + 317145*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1414.\nAnswer: 1\/1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1667*v**2 + 302*v**2 - 2463*v**2 - 492*v**2.\nAnswer: -4320*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*o - 1653*o + 23322 = 0 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 15. Let j be 1 + -4 + 1 + 2. Let t be r(j). Is 3*((-95)\/t + -4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -3*d. Suppose 0 = 5*s - 5*f + 30, 0*s + 5*f - 23 = -2*s. Sort d, -5, s.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21006235*l**2*n**5 - 28*l**2 - l*n**3 + 2*l*n**2 + 620*l - 36*n wrt n.\nAnswer: 1260374100*l**2*n**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z - 82. Give v(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 1392?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = a + 1, 0 = -a + g - 7. Let k = -0.396012 - -0.326012. What is the third smallest value in a, 0.1, 0.3, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29316, -29317, -29320, -29325, -29332, -29341?\nAnswer: -29352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 11) to base 4\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -31*q**6\/360 + 2*q**3\/3 - 18*q**2 + 254. Let f(b) be the third derivative of o(b). Let c(w) = -9*w**2. Determine f(c(z)).\nAnswer: -2511*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 5. Let u = -11 + 12. Suppose -2*m - 16 = -3*h, -2*h + u = -4*h - m. Let n(f) = -f + 4. Determine h*t(j) + 3*n(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 220097876 to the power of 1\/2, to the nearest integer?\nAnswer: 14836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 7, s: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -993, -992, -991, -990, -989, -988?\n\"Answer: k - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:50 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150\/645*4\/(260\/9)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 128 + 85 = -67 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-987))\/(((-5814)\/133)\/51).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((1\/(-26))\/(13\/((-936)\/18))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*d - 9 = 0, -3*d + 36 = 3*m + 2*m. Suppose 5*c + 6 = -2*p + 2, -m = -5*p - 3*c. Calculate the common denominator of 53\/2 and p + 0 - 7535\/2442.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70700820 = 3*r + 57*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29116\/61 or 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -459 + 535. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*t**2 - 5*j**3*t + 10*j**3 + 2*j**2*t + j**2 - 32*j*t**2 - 21*j wrt j?\nAnswer: -6*t**2 - 30*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**7\/105 - s**5\/10 + s**2. What is the third derivative of i(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9660 divided by -14\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-1222))\/(((-5)\/30)\/((-5)\/(-15)))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13))*1 - (2 + 1*sqrt(13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/(21\/147))\/(2\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -39 (b) -2\/3 (c) 2\/27 (d) -2\/9 (e) -92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20471045?\nAnswer: 5, 7, 487, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let l(d) = -q + 2 + 13*d + 0. Let t be l(2). Calculate the highest common factor of 60 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -51, -108, -187?\n\"Answer: -11*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011511677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.01, 2, 0, -2 in descending order.\nAnswer: 2, 0, -0.01, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1249 divide 29520115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 3. Let v be o(-3). Let a = 24 - v. Calculate the remainder when 35 is divided by a\/(-10) + (-78)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 2*p**2 + 278*p + 2*p**2.\nAnswer: -5*p**2 + 278*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1226 - -2934. What is the greatest common factor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k - 4*k**2 + 7*k**2 + k**3 + k**2 - 1 - 12*k. What is q(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1663 != -1661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13468 divided by 7\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(171)*-4 + sqrt(171) + sqrt(171))\/(sqrt(45)\/sqrt(125)).\nAnswer: 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - w + 0*w + (-4*w + w - 2*w)*(2 - 5 + 0).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - (-30)\/9. Let j(h) = 1. Let d(a) = -a + 14. Let x(f) = d(f) - 5*j(f). Let w be x(9). Solve s*b - 3*l = -2*b - 9, b + 3*l + 9 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811.541 decades in months?\nAnswer: 937384.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -51505445.\nAnswer: -51505444.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6420560 (base 7) in base 13?\nAnswer: 2132a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -78*x**2 + 4736*x + 1346. Determine c(61).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 8*m**2 + 7*m + 15. What is the remainder when r(-7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/12705)\/((-20)\/110).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 7*n. Let t be k(8). Let g = 30 + t. Suppose -5*z - 7 + g = 0. Solve 5*c = -4*q + 41, -c - z*q = -0*c - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**6 + 191*a**5*j**3 + 19*a**2*j + 8*a*j**3 + 2 wrt a.\nAnswer: -1440*a**3 + 11460*a**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 1, c: 2, t: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190, -2380, -3570, -4760, -5950?\nAnswer: -7140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.47 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138532)\/9912 + (-12)\/14 - 5\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/15)*x\/x**(-2)*x*x)**44*x**(-4)\/(x**6\/x)*(x*x*(x*x**(-1)\/x)\/x)**21 assuming x is positive.\nAnswer: x**(3781\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-70) - (-24)\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -82, -83, -84, -85?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/20 + 7*p**4\/12 - 5*p**3\/6 + 3*p**2\/2 + p - 170. Suppose -3 = -3*t + 15. Calculate k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 369, 1463, 3281, 5823, 9089, 13079, 17793?\n\"Answer: 362*k**2 + 8*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (797 - 13*x**2 - 797)*(x - 2*x - 33 - 8).\nAnswer: 13*x**3 + 533*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-3 - -3) - 13) + (71 - (104 + -38))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 13. Let k(y) be the second derivative of 2*y**3\/3 - 2*y**2 + y. Calculate the least common multiple of k(4) and z(-9).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*x - 16, 4*v = -4*x + 74 - 6. What is the remainder when 33 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -81107 (b) 138\/43 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 2*i**7\/21 - 58*i**6\/5 + 1124*i**5\/3 + 2544*i**4 + 3456*i**3 + 30*i**2 + 3*i. Suppose d(h) = 0. Calculate h.\nAnswer: -2, -2\/5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - f**2 - f + 1. Let q be t(0). Let v(g) be the second derivative of -g**5\/10 + g**4\/12 - g**3\/6 + g. Determine v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41790487 from -694.\nAnswer: -41791181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (19 - (-169)\/(-13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -691, -1051, -1443, -1873, -2347?\nAnswer: -2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1646136, -3292354, -4938572, -6584790, -8231008, -9877226?\nAnswer: -11523444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4549 is divided by 584.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + 1 + sqrt(288) + sqrt(288)*3*-1.\nAnswer: -24*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 618.2 * -126\nAnswer: -77893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6011 or -6012?\nAnswer: -6012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5538 and -10.\nAnswer: -5548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1336212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -227, -3, 4, -0.22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313012515 (base 6) in base 3?\nAnswer: 101021102122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 44. Let l(u) = 6*u + 87. Calculate -5*f(q) + 2*l(q).\nAnswer: 2*q - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebe when three letters picked without replacement from eeeebbebeeebebeeee.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*-5 - sqrt(66))\/((sqrt(66)*1 + sqrt(66))\/sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13295*z - 13295*z + 22*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:32 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20578982?\nAnswer: 2, 109, 94399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 + -63.16. Let a = 62.99985 + h. Round a to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5 + a8501?\nAnswer: a842a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129040493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 498*s**2 + 2493*s + 10. Give p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 26 + 3 + -6 + (0 - 12) + 10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7575 + -5.6. Let j = 0.154 + -0.004. Let m = j - c. What is m rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s + 34 = a, -2*a = -4*s - 32. What are the prime factors of s + (0 - -2) - (-207 + -5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 39 + 489 = 0. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -7*g - 45. Suppose 16*t - 5*x - 47 = 13*t, -t - 11 = g*x. Calculate the lowest common multiple of t and 106.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-4) + 4)\/(36\/16). Which is bigger: -1\/4 or r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x - 17 + 63 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + n - 9 = -14*s, 2*n = -4*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36370 or 36414?\nAnswer: 36414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -996444.92881825 - 1188.07196175. Let n = 997597 + q. Let a = -36 - n. What is a rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10) - 3*sqrt(160)))\/(-6*sqrt(2)*1) - ((sqrt(120)*3 - sqrt(120)) + sqrt(120))\/(sqrt(540)\/sqrt(10)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 2. Let n be m(-3). Suppose -4*s - 5*z = -8, -10 = -4*s - 2*z + 10. Let q = n - s. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*v = -2, 4*v - 34 = 7*z - 9*z. Suppose z*r = -17 - 28. Let w = -1 + -1. Sort 1, r, w in descending order.\nAnswer: 1, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 14463896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/5466 and 101\/4618770.\nAnswer: 4618770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7911689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 o when three letters picked without replacement from {g: 1, x: 1, m: 3, e: 1, o: 6, d: 1}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -341?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -25 - (0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*l - 66*l + 105*l + 152*l + 136*l)*(0*l**2 + 3*l**2 + 0*l**2).\nAnswer: 1395*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -511 or -510?\nAnswer: -511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a**3 + 0 + 1\/180*a**6 - 26*a**2 + 1\/90*a**5 + 0*a - 1\/36*a**4 - 1\/315*a**7. Find s such that n(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 + 0 - 5*w + 4 + 8. Let r(l) = l - 4. Let j be 1\/4 - (-18)\/(-8). Calculate j*t(n) - 9*r(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 239 = -136. Let r = l + -37. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 - ((3 - (12 - 5)) + (2 - 12)\/2).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 220\/45 - 1\/(-9). Suppose k*w + 158 = 3*n, 0 = -n + w + 48 + 4. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-21))\/((-364)\/42).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*250.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404236978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*z**2 - 15*z + 15*z)*(3 - 3 - 2*z)*((2 + 2 - 2)*(-8 - 7 + 32) + 0 - 7 + 3)*(1 + 2 - 5).\nAnswer: -3120*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315 - 307)*4\/((-32)\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v + 174. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2329757 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - (-2 + 6 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - (1 - 2)) + 7 - 3) + 1259 + -1256\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 32608557.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((91\/(-5))\/13)\/((-5)\/(-25))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6*j + 3. What is the units digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20537409 to the power of 1\/2, to the nearest integer?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6503041817199 - 0.5\nAnswer: -6503041817199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 193608608 divided by -48402152?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -971272886, -971272896, -971272920, -971272964, -971273034?\nAnswer: -971273136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8301 (b) 0.1 (c) 1\/5 (d) -3 (e) 0.03 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 706, 5547, 18682, 44257, 86418?\n\"Answer: 691*v**3 + v**2 + v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**9*o**(-1\/17)\/o**(-1\/5) assuming o is positive.\nAnswer: o**(522\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -82b (base 14) in base 12?\nAnswer: -b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5500 - -5707. Solve -201*f + r*f = 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6990 by 10.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 633450479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*s - 872*s + 439*s + 6.\nAnswer: 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/5, -5, 798, 0.04557, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -18. Let q = 1 - u. What is the second biggest value in -5, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -6245368.\nAnswer: 9\/780671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78645 and 1926?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -381 - -429. Let i be (q\/(-20) + 1)\/((-4)\/20). Solve 53 = -i*z + 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 5*t**2\/2 - 60*t + 42. Let s be o(12). Suppose -44*w + 49*w - 7815 = s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 18*a + 288 = 0, 0 = -5*o + 47*a - 48*a + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -105761334.8 rounded to the nearest ten thousand?\nAnswer: -105760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -38. What is the remainder when 177 is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/8)*l**8*l)**(1\/26))**42 assuming l is positive.\nAnswer: l**(1617\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Let f = 0.399 + 2.601. Which is the third smallest value? (a) -4 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 + 0)\/(-1 - 0). Let i be (10\/50)\/(2\/30). Let r be (30\/(-35))\/(i\/(-14)). Solve 4*z + v = -r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -468567, -1874240, -4217029, -7496934, -11713955, -16868092, -22959345?\n\"Answer: -468558*d**2 + d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnihnnhhhmhnnhnnnh. What is prob of sequence hm?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7546550 to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u + u)*(2 - 2 + 1) - 311265 + 311265 - 351*u to o + t*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48645683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.22 + 0.22. Let s = 26.08 + -25. Let q = -0.08 + s. What is the nearest to q in 0.4, -2\/5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -12. Let p(r) = r**2 + 5*r - 4. Let u be p(x). Let g = u + 3. Solve 0*k - g*k = 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -89. Suppose 2*k = w - 4 - 51, w - 3*k = q. Suppose 4*y - w = y. Solve -2*m + 3*c = -6 + y, -8 = -3*m - c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 4028917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*c = -1508*c + 25614 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((7596\/8)\/9)\/((-6)\/180). Let o = -1818 - s. What are the prime factors of o?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) + sqrt(324)*-2 - sqrt(324)) + sqrt(324))\/sqrt(9) - sqrt(36))\/(sqrt(96)\/sqrt(2)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11.04. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/9 - -16\/9. Suppose -5*m + 4*y = -29, 0 = 2*m - 2*y - 4 - 8. Sort m, w, -2\/15 in decreasing order.\nAnswer: m, w, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137\/17 + 1331\/85. Calculate the common denominator of ((-1717)\/51)\/(4\/6) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/60 + 7*o**5\/25 - 29*o**4\/60 - 6*o**3\/5 - 3*o**2 + 6. What is r in f(r) = 0?\nAnswer: -9, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006063085437 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 912 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 2*z**2 + z - 3. Let f be k(3). Suppose -c = -5*i + 1 + f, i - 6 = c. Solve -19 - i = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 420195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f**3\/7 + 432476*f**2 + 22403296*f\/7 + 1210992 = 0.\nAnswer: -7, -2\/5, 151374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*v = -5313 - 391. Suppose 0 = -0*p + 3*p - 186. Are v and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 121714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {h: 2, s: 2, v: 2, k: 1, a: 1, z: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5235*z**2 - 2618*z**2 - 2412*z**2.\nAnswer: 205*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -1954.\nAnswer: -1953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:35 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/1408 and 91\/9312.\nAnswer: 409728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maimidaiamiid. Give prob of sequence mmim.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3404 is divided by 427.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.515, -15, 2\/9, -0.1 in decreasing order.\nAnswer: 0.515, 2\/9, 0.1, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 4*v**3 + v**3)*(-4*v + 2*v + v) + v**4 + 0*v**4 + v**4 + (0 + 2*v + 0)*(-4 + 4 + v**3).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 37*m - 9. Let p be v(0). Suppose 5 + 5 = 5*o. Which is bigger: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 - b + 2. Let i(c) = c**2 - c - 1. Let d(f) = -6*i(f) - p(f). Let s be d(-4). Solve 3*y + x + 4 = -x, 3*y + 4*x + s = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180 in 1\/4, -2.3, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:40 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(27\/(-7)) + -1. Let g = 0.0205 - 245.1205. Let o = g - -245. What is the nearest to r in -3\/4, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 - 9*q - 7. Let t be (3\/9)\/((-1)\/309). Let l = -51 + t. Let x be (1 - 0) + l\/22. Determine b(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1260)*-3)\/(sqrt(175)*-3))**2 + 3)*5.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 + 2*n**2 - 5 + 34773*n - 34045*n.\nAnswer: 2*n**2 + 728*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 2.8. Let l = 88\/259 + -2\/37. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**5\/20 - k**4\/4 + 2*k**3 - 27*k**2\/2 - 10*k - 30. Give s(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-8)\/(-2) + -2)*-2. What is the common denominator of q\/60*(-3555)\/18 and 29\/76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 + 0 + 4 - 14*i**2 to x*i**2 + k*i + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0.8, 5309, -5\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p + 1. Let a be i(4). Let c = 39 - a. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14246 and 9.\nAnswer: -14237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*h - 21 = 0, j = -34*h + 38*h + 13. Sort -222, j, -5.\nAnswer: -222, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.075.\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.77 - -1265.03. Round z to the nearest ten.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*x**3 - 2*k**3*x + 1408*k**3 + k**2*x**2 + k*x**2 + 627*k - 2*x**3 wrt k?\nAnswer: 12*x**3 - 12*x + 8448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:38 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(-12)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3628542 and 828.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 593*m + 855*m.\nAnswer: 262*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 655016619 to the nearest integer?\nAnswer: 25593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6122 (base 7) to base 10\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2 - 1410261*d = 0.\nAnswer: -470087, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/2 + q. Suppose 5*y = x + 13, -4*x + 2*y + 2 = -0*y. Let a(s) = 11*s**x + 2*s**2 - 14*s**2. What is a(n(o))?\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 3*4\/(-30). Let b = -4.93 - -4.53. What is the third smallest value in r, b, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 7*l**2 + l + 14. Calculate the remainder when 73 is divided by u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27608, 55215, 82822, 110429?\n\"Answer: 27607*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/6 - 311*m**4 + 216345*m**3 - 199251344*m**2\/3 + 15101537675*m\/2 + 15368941875 = 0.\nAnswer: -2, 409, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111201 + -2003?\nAnswer: 103132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/3)*g)\/g**(1\/2)*(g\/g**(-1\/3)*g)**28)\/((g\/((g\/((g**2\/g)\/g*g))\/g)*g*g)\/g*g*g**(1\/15))**1 assuming g is positive.\nAnswer: g**(1813\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1*52\/(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i**2 + i + 1. Let k(j) = -15*j**3 - 41*j**2 + 16*j - 179. Let h(l) = k(l) + 13*r(l). Determine h(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, l: 16}. What is prob of picking 3 l?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -18, 11, 32, 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/17 - 1082*u**2 + 257882*u\/17 - 239486\/17 = 0. What is u?\nAnswer: -9211, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**4 + 2*c + 21*c**3 + 3*c**4 - 7*c**4 + 2*c**4 - 2 to z*c**3 + q*c**2 + p + k*c**4 + j*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 63 = 0. Let y(v) = -6*v**2 - 2*v + 2. Let l(s) = -19*s**2 - 7*s + 7. Let w(a) = k*y(a) - 6*l(a). Let m(f) = -f. Calculate m(w(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*j - 52 - 54 + 152 - 46.\nAnswer: 542*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179 - -305. Let m = n + -85. Let b = -42 + m. What is the closest to b in -2, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 3*q**2 - q - 2*q. Let g(w) = -w**2 + 6. Let t(j) = j**2 - 5. Let v(u) = 5*g(u) + 6*t(u). What is v(x(d))?\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -25. Suppose -2 = -3*s + k*x, -2*x - 2 = -s + 6*s. What is the closest to 3 in 3, s, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 0.075, -3\/2 in decreasing order.\nAnswer: 0.075, -0.3, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8915661 (base 11) in base 15?\nAnswer: -159040b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 + i**3 - 3*i**2\/2 - 4*i. Let f(w) = -w + 1. Let m(k) = -6*f(k) - t(k). What is the first derivative of m(n) wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*6\/(-84)*-49\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 89, -0.1, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-64)\/(-320)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = 2*s, s - 26 = 3*y + y. Let d = y + 10. Solve -3*p - n = -16, -5*n + 28 = 3*p - d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 13*f - 41. Give b(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18886 + -40.76914. Let t = -0.042 + k. Let h = t - -40.9999926. What is h rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -458502, -458495, -458484, -458469?\n\"Answer: 2*l**2 + l - 458505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) -6.8 (c) -0.2 (d) -1.2 (e) 16.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-546)*2*(-7 - -6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115184 or -1267036\/11?\nAnswer: -1267036\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55)\/30*-3*-28. Which is the closest to m? (a) -2 (b) -3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -947 or -955?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/5))\/o)**(16\/7)\/(((o\/(o\/o**7)*o*o)\/o*o)\/(o*o\/o**(-4\/11))) assuming o is positive.\nAnswer: o**(-2907\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 8. Let a be 4*(5 - 6) - t*-1. Let w(j) = 5*j**3 - 2*j + 2. Let l(i) = -110*i**3 + 45*i - 45. Determine a*l(h) - 45*w(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2.22?\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -197258.3327 rounded to the nearest 1000?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0 (b) -4 (c) 12 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/27489 and 83\/441.\nAnswer: 82467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -1. Suppose 0 = -2*i + 3*i - 8. Let k be (g\/(-10))\/(i\/(-60)). Solve 1 - k = 2*t + v, v - 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrrrrhhrrrrrrhrhrrr. Give prob of sequence hrr.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18783726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose -8 = o*m - 2. Does 11 divide ((-1)\/(-1))\/(m\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*j + 3. Let m be -3 - j\/63*-18. Let q = m - -571\/91. Put -2, 1, q in ascending order.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**2 + 64*w**2 - 7 + 2265*w + 2*w**3 + 98*w - 53*w**2.\nAnswer: 2*w**3 + 2363*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*d*z**3 + 13*c**3*d*z**2 - c**3 + c**2*d*z**3 - 68*c**2*z**3 + c*d*z**3 wrt c?\nAnswer: 6*d*z**3 + 78*d*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4261, 7964, 11667, 15370?\n\"Answer: 3703*w + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 - 3*l + 3*l)*((2*l - 2 + 2)*(2 + 0 - 7) - 3*l - l + 2*l).\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/16, 1\/2, 4, 8\/3 in descending order.\nAnswer: 4, 8\/3, 1, 1\/2, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130034541 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204 + 1?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5554571, -11109147, -16663723, -22218299, -27772875, -33327451?\n\"Answer: -5554576*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(-1*sqrt(66))\/sqrt(6)*6.\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2334 (base 5) to base 16.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4362 - -4362. Let c(s) be the third derivative of 0 + 5\/6*s**3 + z*s**4 + 0*s - 14*s**2 + 1\/60*s**5 + 1\/120*s**6. Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c - 2*f + 138, -f = -c + 22. What is the remainder when 304 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9203\/3337 and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let s = -1 - -1. Let n(h) = 4*h + 0*h + s*h + h. Determine -8*m(u) - 3*n(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1057046 and 13452?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 161186 (base 9) in base 12?\nAnswer: 49573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 8316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -27. Let f(h) = -30*h + s*h + 10*h. Let w(c) = -9*c**2. Calculate w(f(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382270 to the power of 1\/2, to the nearest integer?\nAnswer: 2093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:48 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 27 - (-128 - -11 - 5 - (-7 - -17)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -154*k**3 - 4*k**2 + 2*k + 7. Let p = -259 + 257. What are the prime factors of h(p)?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220788?\nAnswer: 2, 19, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -256.000191 - -256. Round b to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3144 and 12?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 4. Let y(x) = -x + 5. Let i(h) = -6*n(h) + 5*y(h). Let s be i(-4). What is the biggest value in s, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -3)*(-180)\/162. Which is smaller: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-264)\/(-39985)*25\/(-10). Let w = 87895\/4362 - k. Find the common denominator of 32\/9 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25823655 divided by 132429\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/(-120)*-5 + -2 + (-75)\/(-12). Put 0.2, -4, 5, a, -2\/31 in descending order.\nAnswer: 5, a, 0.2, -2\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16635910 and -47\/11645137.\nAnswer: 116451370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 75*f - 70*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Let r be (i\/6)\/(10\/3). Let q = 5 - 5.5. Sort q, r, 4 in ascending order.\nAnswer: q, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -7 + 2. Let s be ((-6)\/(-15))\/(n\/30). Suppose 0 = 4*b + v - 3, -s - 12 = -2*b + 4*v. Solve -b*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -26, -50, -84, -128?\n\"Answer: -5*p**2 + p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3183 divide 61164528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(4\/7)*b*b*(b\/(b**(-6)*b))\/b)\/(b**(1\/4))**(-3))\/((b**(2\/7))**3)**(27\/2) assuming b is positive.\nAnswer: b**(-95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 7 = -15*a + 4*c, -2*c - 24 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84640842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/61746 and 82\/1048929.\nAnswer: 86012178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-22)\/(-6))\/(4\/(-12)). Let f(x) = x**2 - 6*x + 2. Let n(y) = 3*y**2 - 17*y + 6. Determine v*f(r) + 4*n(r).\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6)\/(26\/7280). Let f(n) = -27*n**3 + 2*n**2 - 1. Let r be f(-1). Calculate the highest common divisor of r and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*d**2 + 763*d**2 - 254*d**2 - 252*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22*(-1)\/(-36) + 2\/4\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65487 + 65499.9229. Let k = 12.86 - f. What is k rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f + 1. Let b(a) = -3*a**2 - 2*a - 2. Let q(t) = b(t) + 4*y(t). What is q(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.243 - 0.643. Let m = 6 - 2. Let u = -8 + m. Sort -3, h, u in descending order.\nAnswer: h, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 40965 + 40954 = 5*u, -1 = -4*u - 3*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**10\/15120 + n**8\/3360 + n**4\/24 - 3*n**2. Let i(a) be the second derivative of u(a). Determine p so that i(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/38)\/(-1*2\/1508) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 5. Let h = -2 - b. Let l be (-1 + 23)*h\/2. Calculate the highest common factor of 55 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13638 or 13632?\nAnswer: 13632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -61. Suppose 0 = -4*h - 5*g + 7, 4*h - 3*g + 4*g = 11. Let i(o) = 2*o**3 + 9*o**2 - 2. Let x(f) = -f**3 - 4*f**2 + 1. Calculate h*i(t) + l*x(t).\nAnswer: -t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 579, 1160, 1741, 2322, 2903, 3484?\n\"Answer: 581*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -40\/13, 2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 2*x + 21216 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146785 - -146777. Let c(v) = -19 - 2*v + v + 0*v. Give c(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6078413 rounded to two decimal places?\nAnswer: 39.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1974\nAnswer: -5\/1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15840808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:48 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -223915811.3?\nAnswer: -223915818.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3032872 divided by -57224.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -11*m - 32. Let w be (m\/18)\/(4\/(-48)*2). Which is the third biggest value? (a) 1\/5 (b) 2 (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.043 - 0.313. Let z = y - 2.8. Let r = -1.07 - z. What is the closest to -0.1 in 3, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3\/4*u**2 + 9\/2*u - 21\/4 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22355 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 2*k + 3. Let o(y) = -2*y**2 + 2*y - 3. Let s(r) = 3*d(r) + 4*o(r). Let w(x) = -x - 2. Let f be w(-2). Suppose f = -n - 0 + 2. Give s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {g: 2, q: 3, r: 1, a: 1, c: 2, i: 9}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 256829, 513778, 770733, 1027694, 1284661, 1541634, 1798613?\n\"Answer: 3*f**2 + 256940*f - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3288*r + 23. Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7482000 to the nearest one hundred thousand.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61061637 divided by 221.\nAnswer: -276297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2447*t + 2049*t - 13930 = 0 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.037 + -9.237. Let z = -9 - j. Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g - 136*g = -772*g + 5640. Let t = 0 + 0. Solve t = -w + 5*d - d - g, 2*d = 4*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -50. Which is the smallest value? (a) 6 (b) 2\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24837 and 109135239?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + 6*c + 1. Let q = -8 + 14. Let g(s) = -s**3 + 6*s**2 + 3*s - 12. Let f be g(q). Calculate the remainder when 1 is divided by z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11974 + 0?\nAnswer: -11974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 11*q\/2.\nAnswer: q*(q + 33)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15759 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202221 + 2?\nAnswer: -11202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 19330650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c**2 + 0*c**2)*(-34 - 41*c**3 + 37 + 121*c**3).\nAnswer: -80*c**5 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*8 - (-4512 - 220)\/169\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 55?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Is 914 a factor of 256223256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6199999*p**2 - 2*p + 3. Let n(z) = z**2 - 1. Let l(c) = -2*n(c) - o(c). Let b = 31 + -30. Let k be l(b). Round k to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-12)\/8*36\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*f - 11, -4*t + 3*t = 5*f + 17. Let i = 9 - t. Let s(j) = -j**2 + 6*j - 4. Let h be s(i). What is the smallest value in -1\/2, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cknbwbwkwbncwnkc. Give prob of picking 1 k and 2 b.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-2 + 5 + 1)*(-2*c + 2*c + c)*(-6 - 8 - 34)*(0*c - 4*c + c).\nAnswer: -1728*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q - 19. Let h be f(16). Let i = 115 + h. What are the prime factors of (-2)\/8 - (-20)\/i*-111?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 5*d - 2. Suppose -3*y - 12 = -9*y. Suppose -y*v = 3*v - 30. Determine a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 35039*q - 55 = -35044*q, l - q - 19 = 0 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2465\/209525)\/((-2)\/(-170))*142\/2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 1 (b) -32 (c) 0.788\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0.3, 5, 4, -4\/5, 24\/13 in descending order.\nAnswer: 29, 5, 4, 24\/13, 0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 10*g**2 - 12*g + 15. Let w be q(11). Let a be -1*w + (-2)\/((-12)\/18). Let z be 4\/a*4\/(-8)*2. Solve 8 = 2*n - z*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1.7. Let z = r + -1.49. Let k = -0.31 + z. What is the biggest value in -2, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1320 - -2484. Is q at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 7.99?\nAnswer: -0.2397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(225\/(-54))*19\/57?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -4, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g = 8*g - 360 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 3, e: 5}. Give prob of sequence nnh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807303632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-25*15\/150)*1*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiihihiiii. Give prob of sequence hh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, 81, -1 in descending order.\nAnswer: 81, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200460 or -200459?\nAnswer: -200460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/31, 3\/2, -1\/11, 0.218, 5, 4 in decreasing order.\nAnswer: 5, 4, 3\/2, 0.218, -1\/11, -6\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e1c7a0 (base 15) to base 12.\nAnswer: -37120b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999607735?\nAnswer: 5, 7, 17, 1680013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25321.7 - 25322. What is the second smallest value in 0.078, u, 3\/7, 2\/21?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 1\/5, 4, -3 in increasing order.\nAnswer: -3, 0.11, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144272743 - 2?\nAnswer: -144272745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 473 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64413121, -64413112, -64413093, -64413058, -64413001, -64412916?\nAnswer: -64412797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -43. Which is the third biggest value? (a) u (b) -3\/5 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -122, -189?\n\"Answer: -67*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1357 or 5310?\nAnswer: 1357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*y + 4. Which is the third biggest value? (a) -3\/5 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/55, -5, 21, 18\/7, -0.5, -7 in increasing order.\nAnswer: -7, -5, -0.5, 2\/55, 18\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120880 and 60?\nAnswer: 362640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/60)*36\/(-144).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -274*c**4 + c*m + 6*m + 346 wrt c.\nAnswer: -1096*c**3 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1964018 divided by 4\nAnswer: -982009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbj when three letters picked without replacement from {w: 1, b: 2, p: 1, v: 1, j: 3, x: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101*-2\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (469\/(-67))\/(1\/1*-3).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 - (0 + 10)) + -5 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -8, 19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 102842?\nAnswer: -102832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/3, 151, -3\/2 in descending order.\nAnswer: 151, 2\/3, -2\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12 + 4 + 4 - 4*b + 9. Let d(k) = k - 1. Calculate 15*d(f) + 3*v(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*339341\nAnswer: -1696705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 173034877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l - 1. Let v be k(1). Solve 2 + 3 = 5*q, 0 = 2*c + q + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 + 0.08. What is the fourth biggest value in -3, t, 1, 0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 305, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189637589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 + -0.6. Suppose 44 - 72 = 7*c. Sort 0.3, v, c in increasing order.\nAnswer: c, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 3, x: 1}. What is prob of sequence xs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -182. Calculate the greatest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*384\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9*1458\/(-1944)*-40?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*m - 691*m - 195 = -1396*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2c647b?\nAnswer: 2c6476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**3*n**2 - 98415*b**3 - 98100*b**2*n**3 - 1 wrt n.\nAnswer: -6*b**3*n - 294300*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + -4) - 19) + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 1:12 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(152) - -2*sqrt(152)))\/(5*sqrt(32)\/sqrt(4)) + -2 + 4.\nAnswer: 2 + 18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 1 = u, -97*u + 99*u = 3*j + 28 - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3558933230 to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7439)\/1211)\/(140\/196).\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1240, -1241, -1242, -1243, -1244, -1245?\n\"Answer: -m - 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03184750758 to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 19 + -24 + (1 - 46) + 55 + -49?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77\/2 + 40. Sort -2\/11, 4, o, -3 in decreasing order.\nAnswer: 4, o, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 18?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4305 is divided by 1366.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 - 6*i. Let h be m(6). Suppose h = -6*o + o + 430. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*m**2 - 2*m**2 - 9*m**2 - 63*m - 408 - 143*m wrt m.\nAnswer: 2*m - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 4527?\nAnswer: 4526.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -37 + 15 + 11 + 22 + 12*v**2. Let r(c) = 4*c**2 + 4. What is -6*m(q) + 17*r(q)?\nAnswer: -4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 254 + 239 - 26*p - 511 + 3*p in the form j + f*p and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(133\/(-84))*-1*(-3)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.088 - -18.5. Let f = -3.5 + d. Let v = f - -0.0603. Round v to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**4 - 280*f**3 + 29400*f**2 - 1372000*f - 61. Factor b(k).\nAnswer: 4*(k - 70)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 7) to base 3.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/1532?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wweemmewmmnnmelwewe. Give prob of sequence nnwl.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009805 is divided by 13491.\nAnswer: 13137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*(-1)\/(-1)*2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2798*z - 2730 with respect to z.\nAnswer: 2798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -4 (c) 235 (d) -0.5 (e) -1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:15 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 138.\nAnswer: -137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27173\/12 - 2260. Find the common denominator of 95\/14 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 11*r + 26. Let p be g(13). Let f(v) = -v**3 - 12*v**2 + 7*v - 29. Let a be f(-13). Let n = a - 49. Solve n*l + l + 5 = p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**3 + 3*d + 4. Let r be (-6)\/(-15) + 24\/(-10). What is the remainder when f(r) is divided by ((-36)\/(-10))\/((-2)\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2)*(-17)\/(-3). Let c = -17 + g. Solve c = -f + 3*m + 14, f + 1 = -5*m - 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 1\/((-2)\/(-6)). What is the second smallest value in -0.2, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n - 3*n + 0*n)*(-5 + 3 + 4) + 3*n - 2*n + 0*n + 0 + 0 - 2*n)*(4*n**3 + 4*n**3 - 2*n**3).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/4 - 37\/36. What is the nearest to j in 0.2, 0.4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 405 - 207 - 5*y**2 + 4*y**2 - 205 + 12*y. Let p be 3*1*20\/6. What is the units digit of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 610 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 331 = -515 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93659 to two decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 371541.8nm?\nAnswer: 0.0003715418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 367, 749, 1131, 1513, 1895, 2277?\n\"Answer: 382*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 105*p. Let j(h) = 5*h**2. What is q(j(t))?\nAnswer: 525*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3082 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 29*o + 18. Let v = 3 - -3. Let r(u) = -u**2 + 15*u + 9. Let p(y) = v*z(y) - 11*r(y). What is the units digit of p(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -13 - -20 - 2*7. Let l(k) = 4*k - 2*k - 4*k - 10. Let m be l(t). Solve 2*v = 8, 0*v + v = 5*s + m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (48 - 21))*(-7)\/(-252)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1 - (3 + -2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 8*z + 0*z - 6*z + 13*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 15, 0.09, 4\/9 in decreasing order.\nAnswer: 15, 4\/9, 0.09, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*1*507. What is the common denominator of (-474)\/40 + 3\/(-4) and (-4)\/16 - z\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 3*n + 5*n)*(-44 + 44 + 7*n**3).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**3 + 204*q**2 + 1647*q + 3186 = 0.\nAnswer: -59, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 446636 or 446687?\nAnswer: 446687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 2, s: 1}. Give prob of sequence sz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1291\/34 + 38. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 = 5*x, -3*o - x = -6*o + 16. What is the smallest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 - 351 + 3*m**2 - 3*m**2 + 375 - 58*m. Give p(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 221\/34 - (3 + 4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-63)*-21)\/(((-18)\/74)\/(-9))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/15*20\/(-6). Suppose -k + 21 = -t*k. Let o(y) = -y**3 + 16*y**2 + 69*y - 224. Let h be o(19). Sort h, k, 5 in ascending order.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 172 + 3. Suppose -2*o = o - 1236. What is the second derivative of -o + 412 + 10*i - u*i**4 wrt i?\nAnswer: -156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 1 = -13*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.9. Let l be (-8)\/(-12) + (-1)\/3. Which is the nearest to l? (a) -3\/5 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4\/7, -7\/4, 0.16, 0.6, -0.1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -832 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 4. Let d be t(-3). Let r = -3.3 - -3. Let o = -293 + 289. Which is the nearest to 0? (a) o (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40367 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2880096827 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4\/8 - 26913*i**3\/8 + 60264693*i**2\/8 + 424358637*i\/8 - 664986993\/2 = 0. Calculate i.\nAnswer: -11, 4, 4489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12307 + 775429\/63. Calculate the common denominator of 47\/567 and a.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3212207, -3212219, -3212231, -3212243, -3212255?\nAnswer: -3212267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.15 and -0.1?\nAnswer: 5.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1429719 from 230.85309.\nAnswer: -1429488.14691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (206 - 339 + 167)*(55*f**4 + 99*f**4 - 3*f**4) in the form y + s*f**2 + u*f + x*f**3 + v*f**4 and give v.\nAnswer: 5134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1098 + 0.06\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*d = -58*d - 56. Solve -i - d = -5*z, 0 = 5*z + 6*i - 3*i + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**(3\/5)\/p*(p**(-3)*p)**(-16\/9))**(-3\/28) assuming p is positive.\nAnswer: p**(32\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3125 + -1871. Let q = -896 + z. Is 39 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31043 + 2678 - 243747 = 2694*j + 64762 for j.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10237705.\nAnswer: 5, 2047541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 - 7943*w**2 + 34 + 55 - 23 + 7944*w**2 to the form g + y*w**2 + p*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + (sqrt(187) - (sqrt(187) - ((sqrt(187)*2 - sqrt(187)) + sqrt(187) + sqrt(187))))\/sqrt(11))**2 - (4 + 4 + sqrt(833))**2.\nAnswer: -624 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3310, 22133, 40956, 59779, 78602?\nAnswer: 97425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 393\/3 - 4*4\/8. Factor -17 - 2*n**2 + 117*n - s*n - 1.\nAnswer: -2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 10) to base 5.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -118*k - 1531. Let r be t(-13). Is r smaller than 121\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = 0, 5*r - 3*h - 3 + 97 = 0. Let j = -17 - r. Suppose j*i = 5*i. Solve -n - 3 = i, -4*z - n = -6 - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q - 28. Let z(v) = 2*v. Calculate d(o) + 4*z(o).\nAnswer: -4*o - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4e3 (base 15) to base 2\nAnswer: 10001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -23. Let t = f - -34.12. Round t to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 199\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 450778717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32288604563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 358*i**2 - 16*i**2 - 51*i**2 + 6 in the form s*i**2 + m*i + x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.1. Let l = -0.786 - 0.014. Which is the second smallest value? (a) o (b) l (c) 3\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 9*h + 66 = -26*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78193601*k**5\/7 + 154027073*k**4\/7 - 239289357*k**3\/7 + 7103779*k**2\/7 - 35144*k\/7 + 48\/7 = 0 for k.\nAnswer: -3, 4\/1381, 1\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 6. Calculate k(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9698565.\nAnswer: 3, 5, 646571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 + 11*l**3\/3 + 11*l**2\/2 + 9*l - 6. Is 39 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 12, 19, 244 in descending order.\nAnswer: 244, 19, 12, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -0.0155 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 43, 2, 3, -5 in increasing order.\nAnswer: -17, -5, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22117 divided by 8?\nAnswer: 22117\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82.7508 and -0.101.\nAnswer: 82.6498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -928112129 plus 0.3177?\nAnswer: -928112128.6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + (sqrt(133) + -5*-1*sqrt(133) - sqrt(133)))*-4)\/(-1*sqrt(63)*-4).\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/22 - (6 + -9 - -9).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 3665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1100))*2)**2 + (sqrt(1100)*4*1)**2.\nAnswer: 80*sqrt(11) + 22004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - m + 3. Let n be q(5). Let x be n*3*8\/(-12). Let c(g) = 317 - 6*g + 2*g**2 - 314 - g**2. Give c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836167*n + k = -836213*n + 2, 0 = 5*k - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19901905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 4*p - 192 + 102 + 92. Let q(w) = w**3 - 23*w**2 - 52*w + 48. Let c be q(25). Calculate u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1188)\/(-792)*(-1)\/(6*1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Factor -10*b**2 + 7*b**2 - 2*b**3 + g*b**3 + 2*b.\nAnswer: b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893345?\nAnswer: 3, 5, 126223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 642.999989 - 643. Round w to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.359 - 0.459. Let t = 5 - 4. What is the nearest to t in m, 3\/8, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (-6 - -13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r + 7*r. Suppose 2*g - 19 = -5*p, r*p - 70 = -5*g - 12. Calculate the remainder when 45 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*g - 2581 = -0*g, 3*g + 12883 = 5*z. List the prime factors of z.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793664240.\nAnswer: 2, 5, 9920803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -40. Let c(b) = -b**3 - 6*b**2 - 6*b - 5. Let z be c(-5). Suppose a + a = z, p = -y*a + 63. What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/216 and 1\/297432.\nAnswer: 297432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*d - 29, -11 = -3*z - d - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -690*a - 411*a**3 + 4232 + 3*a**4 - 2*a**4 - 613*a**2 + 163*a**3 + 200*a**3 - 2*a**4 = 0. What is a?\nAnswer: -23, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 350 - 344 - r + 6*r. Let n(v) = 99*v + 121. Let d(t) = -16*t + 263. Let h be d(24). Determine h*i(w) + 6*n(w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xbbqqbxx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + 192\/1280. What is the closest to 14 in 3\/7, 0, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-22) + (-13)\/(1573\/(-869)). Let p be 47*1\/f - 7. Which is the second biggest value? (a) 3 (b) -1.1 (c) -4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g - 2. Let r(f) = -13*f + 4. Let z(w) = -39*w + 12. Let o(x) = -17*r(x) + 6*z(x). Let c(m) = 6*o(m) + 11*t(m). What is c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -108. Suppose -l - 4 = 0, -l - 84 = 4*r - 2*l. Let w = r + g. What is the remainder when 99 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3696 and 924?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -889 - -921. Solve -l = 4*m - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 522*x**3 - 4682*x**2 + 4032*x + 128 = 0?\nAnswer: -8\/261, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*r - 2940 = -4740 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in -4, 2\/5, 5, -2\/19, -1.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 4*b, -286 = -3*i - 9*b - 271. Let x = -4 + 1. Let j be i\/x*108\/(-24). Solve 0 = 6*c - 2*c + 4*q + 24, 5*q + 28 = -j*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2535215 is divided by 1390?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.296 - 0.196. Let i = 453 + -450. Put 2\/3, g, -2\/5, i in decreasing order.\nAnswer: i, 2\/3, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 12 = 0. Suppose 0*z = -o*z + 60. Suppose -3 - 37 = -5*n. Calculate the remainder when z is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 68. Suppose -2*k + o = 2*k. Let g = k - 8. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 997299946*c**3 + 260851229*c.\nAnswer: 5983799676*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-1040) - 1328778\/(-142560)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, -0.1, 19\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/31 + 137\/434. What is the common denominator of -71\/20 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4 + 2, -2*v - 4*a + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5 + 138*o**4 + 1116*o**3 - 10920*o**2 + 16224*o = 0. What is o?\nAnswer: -26, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6540\/680)\/109*-2*1?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6337 + -6336. Let r be (-26)\/8 - (-1)\/4. Is (t*-34 + r)\/(2\/(-34)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 + 11.14. Let h = -8 + b. Sort h, -0.1, 5 in increasing order.\nAnswer: -0.1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 5*o + 8. Let n be c(-6). Let p(j) = -j + 10*j**n - 3 + 14*j + j**3 - 5*j. What are the prime factors of p(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1424*a + 122457. Calculate m(86).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q**2 - 25*q**2 - 1339*q**3 + 198*q**3 - 19*q**2.\nAnswer: -1141*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 14. What is the smallest value in x, -1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184038 and 25086.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.4 - -8. Let z = n + -0.6. Which is the second biggest value? (a) -0.02 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0832*-0.22.\nAnswer: 0.018304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -3*x + 4*l - 3, -3*l = 5*x + 5. Let p(c) = -4*c. Calculate p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/8)\/((81\/(-540))\/(6\/(-70))).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 87*i**2 - 36*i - 358. Determine x(-8).\nAnswer: 3962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-12)\/(-100)) + 1. Let y = -17 - z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2463 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 187205336?\nAnswer: -187205334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -765613?\nAnswer: -135\/765613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -49612611?\nAnswer: 49612609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)*(i*i**(-3\/4)\/i*i)\/i*i)**45 assuming i is positive.\nAnswer: i**(1395\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*3)\/((21\/(-4))\/((-9016)\/2576)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -cb2bf?\nAnswer: cb2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -15. Let l = 14 + -8. Suppose -3*m + v = -c, -l*m = -2*m - 12. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -o + 6*o - 35, 4*q - 28 = -2*o. Suppose 0 = o*v - 417 + 21. Let h be 11\/(-1 + 3 - 1). What is the greatest common divisor of v and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.647*-30.4\nAnswer: -141.2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/343*77\/44*(-2)\/8.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207025 and 455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-21))\/((30\/(-21))\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-20)*-5)\/((-9)\/2). Let x(v) be the first derivative of 9 + 1\/7*v**4 - 4\/21*v**3 + 0*v - 12\/7*v**p. Factor x(l).\nAnswer: 4*l*(l - 3)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2704*b - 6 = 2706*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 1, u: 1, l: 1, j: 1, b: 1}. What is prob of sequence mlbc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j. Suppose j*p - 6 = -p. What is the remainder when 10 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*m = 60, 3*m - 18 + 24 = z. What is the remainder when z is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 61690?\nAnswer: 246760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 31. Let v be f(-7). Let l(c) = -c**3 + 7*c**2 - 6*c - 2. Let s(b) = -5*b**3 + 36*b**2 - 31*b - 11. Let w(a) = v*l(a) + 2*s(a). Factor w(r).\nAnswer: r*(r - 4)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -16. Suppose -5*x - 5*y + 90 = 0, -4*x - 5*y = -x - h. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0 - (-161 - -173)) + 7 + -34?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + 44\/10. Let u = -1 - a. Let h = -6 + 5.7. Put -0.1, h, u in descending order.\nAnswer: -0.1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 61*n**2 + 174*n - 485. Determine u(-58).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 49174.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 616 = 27*l + 130*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 - k + 2. Let d be (-48)\/(-22) + 4\/(-22). Determine l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11600 and 150.\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15833168.\nAnswer: 2, 13, 163, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 196 = -4*v + 80 - 132, -4*t + 2*t - v - 128 = 0 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 42. Let a = h + 34. Sort a, 23, -0.5 in decreasing order.\nAnswer: 23, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88061511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -214 and 25.4.\nAnswer: -5435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*f**2*u**3 - 16*c**2*f*u**2 + 2*c**2*u**2 - 26*c*f**2*u**3 + c*f**2*u**2 + 2*f*u**2 wrt u.\nAnswer: 6*c**2*f**2 - 156*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmo when three letters picked without replacement from mmeeomeneoo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 466.8 + -567. Let m = 100 + h. Sort m, 4, 24 in ascending order.\nAnswer: m, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:06 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 30 + 14\/3*x**3 + 1\/3*x**4 - 88*x**2 - 2*x. Let w(i) = 0. Calculate i.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -15) + 6 + -8 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - c - 23 = 0, 6*c = 2*c - 20. Let z(u) = -u**3 + 3*u**2 + u - 1. Let i be z(3). Solve -i*k + 14 = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1416)\/(-30) + (-1)\/5. Calculate the greatest common factor of 1175 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2300*p - 3409 + 1957 + 3502 wrt p.\nAnswer: 2300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c2 (base 15) to base 16.\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 4165*h**2 - 16600*h - 16580.\nAnswer: -5*(h + 2)**2*(h + 829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 944672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - m**2 - 4*m + 4. Let a(s) = -5*s**3 + s**2 + 5*s - 5. Let r(y) = -3*a(y) - 4*x(y). Determine r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37889262 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1029*v**5\/4 - 3724*v**4 - 8127*v**3\/4 + 285*v**2\/2 + 223*v + 30 = 0.\nAnswer: -2\/7, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0554385414 to 5 dps.\nAnswer: 0.05544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-261)\/(-36))\/((-1)\/4). Sort 1, -3, 2, z.\nAnswer: z, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 - c. What is the units digit of y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x**2 - 15*x + 72. What is the remainder when k(4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -646 divided by 1?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 129*i + 17. Let n(t) = t**2 + 89*t + 12. Let l(h) = -7*n(h) + 5*s(h). Calculate l(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12775913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10870398 and 708939.\nAnswer: 32611194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - 11*f**2 + 14*f + 11. What is the tens digit of g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 27. Suppose 0 = 4*y + 12, -4*y - y - l = -s. Let v(i) = -6*i - 1. Let g be v(-1). Calculate the highest common factor of s and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiwiaiivm. Give prob of sequence iav.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, -125, -49 in decreasing order.\nAnswer: 4, 3, -5, -49, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*s - 5*s = 3, -2*j + 6 = 3*s. Let p(x) = -4*x - 4. Let t be p(-1). Suppose 3*m - 48 = 3*u, t*m = j*m + 5*u - 8. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hejeezh. What is prob of picking 1 j and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31120130 - 4?\nAnswer: -31120134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15) - 4\/6. What is the third derivative of 17*p**2 + 2*p**4 + c*p**4 - 18*p**2 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, v: 5}. What is prob of picking 3 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 10. Let l be c(8). Suppose -9*h + 45 + 18 = 0. What is the highest common divisor of l and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1184)\/10064)\/(8\/34).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52146*m**5 - 4135*m - 2 wrt m?\nAnswer: 1042920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 18*z - 55. Let n be t(-3). What is the highest common factor of 392 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-9 + 13)) + -45 + 39.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-420) + (-4)\/(-56)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1479 + -1456. Let q = -2 - 1. Calculate the remainder when v is divided by 1*(-9)\/(q + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(f + 3*f - 2*f) + 898*f - 302*f + 1826*f - 2.\nAnswer: 2420*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56980, 227884, 512708, 911440, 1424068?\n\"Answer: -2*s**3 + 56972*s**2 + 2*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*g - 23 = 0, 0*g + 115 = 5*i + 4*g. Calculate the remainder when (-441)\/(-15) - -2 - (-6)\/10 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 792, 1582, 2372, 3162, 3952?\n\"Answer: 790*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*f - f + 8, -2*f + 4 = -3*d. Suppose -j - f*j = -6. Let v(k) = k**3 - k. Let i(p) = 19 - p - 19. Determine j*v(z) - 2*i(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3\/6 - 67*r**2\/2 + 35*r - 1. Let v be q(-13). Which is bigger: -55 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 5, 15 in decreasing order.\nAnswer: 15, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 494 = 4*p, 2*p + 2*q + 614 = -3*p. Does 5 divide 1\/(-4 - p\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1308736 and 27\/7666516?\nAnswer: 1349306816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28793, -28800, -28807?\nAnswer: -28814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1819*a**3*j*x - 5*a**3*j - 2*a**3*x**2 + 13*a**2*j*x**2 - a**2*j + 27*x**2 - 3 wrt a.\nAnswer: -10914*j*x - 30*j - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 22980.2.\nAnswer: 1378.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 5. Let f be 0 + (-1)\/(-1)*-4. Let y(w) = w + 6. Give f*y(s) + 5*u(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 12. What is z(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 29*a + 14. Let f be o(-14). Let u = 587 - f. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 144. Let g(b) = -2*b + 144. Determine 4*g(z) - 3*j(z).\nAnswer: z + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-i**2 - 4*i**4 + 4*i**4 + 2*i**4).\nAnswer: -4*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470\/(-70)*8\/(-98)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*p - 4. Let d be (1 + p)\/(-1) + 0. What are the prime factors of 30\/(1 - -1 - d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {b: 5, i: 2, q: 1, w: 3, s: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39\/7 - 337\/63. Let a = -17 + 19. Put 2\/7, a, x in decreasing order.\nAnswer: a, 2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 819, 1230, 1807, 2604, 3675, 5074, 6855?\nAnswer: 9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-1 + -7 - 8) + -15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 146*j**2 + 6864*j + 86. Calculate a(-47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 + 25 = 4*s, 5*s = 5*f + 10. Let d = 39 - 79. Let m be 5\/s - (-5)\/(d\/12). Is m less than or equal to -2\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a factor of 31710695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*t - 251, 2*k + 2*t + 9 = 163. Let p(f) = 39*f + 31*f - k*f. Let a(w) = -2*w**2. What is a(p(r))?\nAnswer: -242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1462 - -866. Let t = 1013 - o. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/521226419?\nAnswer: 1\/521226419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 15. Suppose 4*a - 496 - 276 = 0. Suppose -376 = -2*n - 5*g, s*g - 3*g = -n + a. List the prime factors of n.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times -636?\nAnswer: 24168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51640312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 480 = -17*z. What is the smallest common multiple of 4 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -95a39d?\nAnswer: 95a388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246232 is divided by 605.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -9014.\nAnswer: -9014.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-13)\/4)\/(-13))\/((-1)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 187?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2. Let m(x) be the third derivative of x**6\/720 + 7*x**4\/24 + 6*x**2. Let l(c) be the second derivative of m(c). Give z(l(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4006900 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5046 - -26007581.\nAnswer: 26002535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -47. Calculate the common denominator of ((-4)\/48)\/(c\/(-267)) and 19\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 684*z**2 + 5*z - 22. Let v(y) = y**2 - y + 3. Give -q(o) - 7*v(o).\nAnswer: -691*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*m + 614*m - 100*m + 78*m + 175*m + 1.\nAnswer: 1032*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*r + 4085 - 4085 in the form m + g*r and give g.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 1 + 1)*(-2*q + 3 - 3)*(-q - 2*q + 0*q) to the form f + p*q + c*q**3 + m*q**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 26*s**2 + 12*s + 12*s**3 + 13*s**3 - 47*s**3 - 24 + 10*s - 2*s**4 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*u - 11 - 10 + 29 - 11 in the form h + o*u and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 13*z**2 - 8*z. Let t(v) = -7*v**2 - 4*v. Let r(p) = -4*b(p) + 7*t(p). Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1510 - 3410 + 1664)*(c + 4*c - 3*c)*(-1 - 3 + 2).\nAnswer: 944*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -2. Let z = -13215 + 13235. Let a be (2136\/z - -4) + x\/20. Are a and 110 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -211*y**4 - 4*y**3 + 6*y**2 - 697. Let r(o) = 423*o**4 + 9*o**3 - 13*o**2 + 1393. Let w(n) = -13*f(n) - 6*r(n). What is the derivative of w(p) wrt p?\nAnswer: 820*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249435180*k**3*x**4 + 2*k**3*x**2 + 3*k**3*x - 25517*k**3 + k**2*x + 4*k*x**2 + 2*k wrt x.\nAnswer: -5986444320*k**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}